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Disclaimer:
Some clients have specific expectations and approaches they may be expecting tutors to
use in sessions. ALWAYS check to see if a session has a Custom Resource Page for
information regarding session expectations, approach, and/or resources. Additional
information is located in the Tutor Resource Center (TRC).
Math
Primary (K-2) Math Geometry Multivariable Calculus Quantitative Reasoning
Elementary (3-6) Math Trigonometry Finite Math Quantitative Methods
Mid-level (7-8) Math Pre-Calculus Discrete Math Linear Algebra
Algebra Calculus Statistics Differential Equations
Algebra II Calculus BC Intermediate Statistics
Science & Engineering
Primary (K-2) Science Chemistry Electrical Engineering
Elementary (3-6) Science Physics Algebra Based Environmental Science
Midlevel (7-8) Science Physics Calculus Based Astronomy
Earth Science Microbiology Biochemistry
Biology Organic Chemistry Mechanical Engineering
Health & Medical
Anatomy & Physiology Health Administration Medical Coding
Basic Nursing Advanced Nursing Mental Health & Psychiatric Nursing
Nutrition & Dietetics
/
English/Humanities
Essay Writing Primary (K-2) Reading College English Art History & Appreciation
College Essay Writing Elementary (3-6) ELA ELL
Doctoral Writing Mid-level (7-8) ELA Primary ELL
Literature English Symbolic Logic
Social Sciences
Intro Criminal Justice Intro Ethics Intro Philosophy Intro Psychology
Research Methods Intro Sociology Cultural Anthropology Political Science
Basic Concepts List
for All Available Subjects
Last updated January 2024
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Business
Intro Accounting Intro Finance Business Law
Intermediate Accounting Intro Economics Business & Consumer Math
Cost Accounting Intermediate Microeconomics Principles of Management
Tax Accounting Intermediate Macroeconomics Auditing
Managerial Accounting Marketing
Technology
Adobe Illustrator Adobe InDesign Adobe Photoshop
MS Access MS Excel MS Word
Windows Windows Server A+
Cisco Admin MS PowerPoint
Computer Science
Principles of CS C C++ C#
Java Python Database Systems Web Design
Foreign Languages
Arabic French German Italian
Mandarin Spanish Vietnamese
Teacher Education
Elem Math Methods Elem Reading Methods General Education Early Childhood Ed
Communication
Business/Org Interpersonal/Group Intercultural/Global Journalism
Mass Comm Public Speaking
Social Studies
Social Studies K-8 Geography US History World History
Other
Student Success & Parent Coaching Resume and Career Help
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Primary (K-2) Math (Back to Top)
Counting & Cardinality
Compare numbers
Count to tell the number of objects
Know number names and the count sequence
Operations & Algebraic Thinking
Add and subtract within 20
Represent and solve problems involving addition and subtraction
Understand addition as putting together and adding to, and understand subtraction as taking apart and
taking from
Understand and apply properties of operations and the relationship between addition and subtraction
Work with addition and subtraction equations
Work with equal groups of objects to gain foundations for multiplication
Number & Operations in Base Ten
Extend the counting sequence
Understand place value
Use place value understanding and properties of operations to add and subtract
Work with numbers 11-19 to gain foundations for place value
Measurement & Data
Classify objects and count the number of objects in each category
Describe and compare measurable attributes
Measure and estimate lengths in standard units
Measure lengths indirectly and by iterating length units
Relate addition and subtraction to length
Represent and interpret data
Tell and write time
Work with time and money
Geometry
Analyze, compare, create, and compose shapes
Identify and describe shapes
Reason with shapes and their attributes
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Elementary (3-6) Math (Back to Top)
Operations & Algebraic Thinking
Counting
Patterns and Relationships
Addition and Subtraction
Multiplication and Division
Factors and Multiples
Place Value
Exponents
Ratios
Number Theory: Primes, Divisibility, Factors, &
Multiples
Expressions & Equations
Expressions
Equations
Inequalities
Dependent & Independent Variables
Number & Operations- Fractions & Decimals
Fractions
Decimals
Decimal & Fraction Equivalents
Decimal Place Value
Decimal Compare & Ordering
Fraction Equivalence & Ordering
Measurement & Data
Perimeter and Area
Volume
Angles & Angle Measure
Graphing Data Points
Measurements & Conversions
Geometry
Two-dimensional Figures
Three-dimensional Figures
Lines
Angle & Shape Properties
Area, Surface Area, & Volume
Statistics
Variability
Distributions
Money & Time
Count Bills & Coins
Tell Time: Analog & Digital
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Mid-Level (7-8) Math (Back to Top)
Ratios and Proportional Relationships
Ratios
Proportions
Rates
The Number System
Fractions: multiply, divide, add, &
subtract
Rational & Irrational Numbers
Radicals & Integer Exponents
Number Properties
Order of Operations
Percents
Absolute Value
Estimation & Rounding
Exponents & Roots
Arithmetic & Geometric Sequences
Expressions & Equations
Linear Equations
Variables & Substitution
Systems of Equations
Formulas
Equivalent Expressions
Equations and Expressions with
radicals and integers
Geometry
Angle Measure
Two & Three-Dimensional Figures
Area & Surface Area
Coordinate Plane
Volume
Congruence, Similarity, & Symmetry
Transformations
Pythagorean Theorem
Statistics & Probability
Comparisons & Inferences
Statistical Variability
Sample Space, Combinations, &
Permutations
Theoretical & Experimental Probability
Random Sampling
Bivariate Data
Functions
Functions: Define, Evaluate, &
Compare
Functions to model relationships
Data and Graphs
Experiments & Data Collection
Central Tendency & Variation
Infer, Predict, Evaluate, & Compare
Data
Represent, Read, & Interpret Data
Measurements
Estimate and Measure
Measurement Systems
Measurement Tools
Rates, Indirect Measurements, &
Proportions
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Algebra (Back to Top)
Numbers
Basic Set Theory
Number Properties
Operations with Rational Number
Exponents and Roots
Ratios, Proportions, Percents, Rates
Operations with Irrational Numbers
Algebraic Expressions
Translating words into Expressions
Simplify Expressions
Evaluate Expressions
Functions and Sequences
Identifying Patterns or Functions
Composition and Operations with
Functions
Inverse of a Function
Domain and Range
Parent Functions and Transformations
Piecewise Functions
Arithmetic Sequences
Geometric Sequences
Linear Equations/ Inequalities
Slope, Intercept, Points of a Line
Solving Linear Equations
Solving Linear Inequalities
Writing and Graphing Linear Equations
Writing and Graphing Linear
Inequalities
Systems of Linear Equations and
Inequalities
Applications of Equations and
Inequalities
Absolute Value Equations and
Inequalities
Graphing Solutions on a Number Line
Solving Absolute Value Equations and
Inequalities
Polynomials
Add and Subtract Polynomials
Multiplying Polynomials (FOIL)
Factoring Polynomials
Operations with Rational Expressions
Equations with Rational Expressions
Quadratic Equations and Inequalities
Writing and Graphing Quadratic Equations
and Inequalities
Finding Roots of Quadratic Equations:
Graphing
Finding Roots of Quadratic Equations:
Factoring
Finding Roots of Quadratic Equations:
Quadratic Formula
Special Quadratic Equations and Completing
the Square
Systems of Quadratic Equations and
Inequalities
Radical, Exponential, and Logarithmic Equations
Simplifying Radical Expressions
Operations with Radical Expressions
Solving and Graphing Radical Equations
Simplifying Exponential and Logarithmic
Expressions
Solving and Graphing Exponential and
Logarithmic Equations
Applications of Exponential and Logarithmic
Equations
Probability and Statistics
Data Displays : Stem and Leaf, Box and
Whiskers, Venn Diagram, Dot Plots, etc.
Data Analysis: Range, Mean, Median, Mode
Basic Probability using Sample Space
Independent and Dependent Events
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Algebra II (Back to Top)
Numbers
Basic Set Theory
Number Properties
Operations with Rational Number
Exponents and Roots
Ratios, Proportions, Percents, Rates
Operations with Irrational Numbers
Simplifying Radicals using i
Operations with Complex Numbers
The Complex Plane
Algebraic Expressions
Translating words into Expressions
Simplify Expressions
Evaluate Expressions
Functions and Sequences
Identifying Patterns or Functions
Composition and Operations with Functions
Inverse of a Function
Domain and Range
Parent Functions and Transformations
Piecewise Functions
Arithmetic Sequences
Geometric Sequences
Continuity
Linear Equations/ Inequalities
Slope, Intercept, Points of a Line
Solving Linear Equations
Solving Linear Inequalities
Writing and Graphing Linear Equations
Writing and Graphing Linear Inequalities
Systems of Linear Equations and Inequalities
Applications of Equations and Inequalities
Absolute Value Equations and Inequalities
Graphing Solutions on a Number Line
Solving Absolute Value Equations and Inequalities
Polynomials
Add and Subtract Polynomials
Multiplying Polynomials (FOIL)
Factoring Polynomials
Operations with Rational Expressions
Quadratic Equations and Inequalities
Vertical Asymptotes and Holes of Rational Equations
Horizontal and Slant Asymptotes of Rational
Equations
Polynomial Division
Rational roots of Polynomial Equations
End Behavior of Polynomial Equations
Writing and Graphing Quadratic Equations and
Inequalities
Finding Roots of Quadratic Equations: Graphing
Finding Roots of Quadratic Equations: Factoring
Finding Roots of Quadratic Equations: Quadratic
Formula
Special Quadratic Equations and Completing the
Square
Systems of Quadratic Equations and Inequalities
Radical, Exponential, and Logarithmic Equations
Simplifying Radical Expressions
Operations with Radical Expressions
Solving and Graphing Radical Equations
Simplifying Exponential and Logarithmic
Expressions
Solving and Graphing Exponential and
Logarithmic Equations
Applications of Exponential and Logarithmic
Equations
Probability and Statistics
Data Displays : Stem and Leaf, Box and Whiskers,
Venn Diagram, Dot Plots, etc.
Data Analysis: Range, Mean, Median, Mode
Basic Probability using Sample Space
Independent and Dependent Events
Combinations and Permutations
Variance and Standard Deviation
Properties of Normal Distribution
Vectors
Adding and Subtracting Vectors
Scalar Product
Dot Product
Cross Product
Matrices
Writing Matrices
Operations with Matrices
Determinant of a Matrix
Inverse of a Matrix
Gauss-Jordan Elimination
Conic Sections
Parabolas: Equations and Graphs
Circles: Equations and Graphs
Ellipses: Equations and Graphs
Hyperbolas: Equations and Graphs
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Geometry (Back to Top)
Measurement
Formulas and Measurement
Indirect Measurements, Ratios, and Rates
Units, Unit Conversions, and Error
Points, Lines, Angles, Planes
Angle Relationships and Problems
Coordinate Geometry - Slope, Distance, Midpoint
Geometric Constructions
Proofs and Logic
Conditional Statements
Conjectures, Axioms, Theorems, Proofs
Inductive and Deductive Reasoning
Two- and Three- Dimensional Shapes
Congruency
Relationship Between Plane and Solid Figures
Right Triangles, Including Pythagorean Theorem
Similarity
Symmetry and Transformations
Theorems and Problems with Circles
Theorems and Problems with Polygons
Theorems and Problems with Quadrilaterals
Theorems and Problems with Triangles
Three-Dimensional Figures
Trigonometric Ratios in Right Triangles
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Trigonometry (Back to Top)
Complex Numbers
Polar Coordinates, DeMoivre’s Theorem
Trigonometric Form
z Complex Number
Introduction to Trigonometry:
Linear Relationships and Functions
Introduction to Trigonometry
Introduction to Trigonometry: Linear
Relationships and Functions
Relations, Functions, and Graphs
Defining and Finding Trigonometric
Functions
Slope, Linear Relations, Scatter Plots, and
Piecewise Functions
Introduction to Trigonometry: Linear
Relationships and Functions Unit Review
Trigonometric Ratios
Trigonometric Ratios
Angles and Angle Measures
Measuring angles using radian and degree
measures
Right Triangles and Trigonometric Ratios
The Unit Circle
Trigonometric Ratios Unit Review
Graphing Trigonometric Functions
Introduction to Graphing Trigonometric
Functions
Graphing Trigonometric and Inverse
Functions
Inverse Trigonometric Functions
Transformations of Trigonometric
Functions
Real-world Applications of Trigonometric
Functions
Vectors
Graphing Trigonometric Functions Unit
Review
Trigonometric Laws and Identities
Trigonometric Laws and Identities
Law of Sines and Law of Cosines
Trigonometric Identities and Equations
Area of Triangles
Angular and Linear Velocities
Trigonometric Laws and Identities Unit
Review
Modeling Periodic Phenomenon
Vectors
Graphing and Operations with Vectors
Solving problems with Vectors
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Pre-Calculus (Back to Top)
Functions
Know and use a definition of a function
Write a function that describes a relationship between two quantities
Perform algebraic operations on functions and apply transformations
Write an expression for the composition of one given function with another and find the domain, range,
and graph of the composite function
Determine whether a function has an inverse and express the inverse, if it exist
Know and interpret the function notation for inverses
Identify and describe the discontinuities of a function and how these relate to the graph
Understand the concept of limit of a function as x approaches a number or infinity
Analyze a graph as it approaches an asymptote
Computer limits of simple functions
Explain how rates of change of functions in different families differ
Exponents and Logarithms
Use the inverse relationship between exponential and logarithmic functions to solve equations and
problems
Graph logarithmic functions
Graph translations and reflections of functions
Compare the large-scale behavior of exponential and logarithmic functions with different bases and
recognize that different growth rates are visible in the graphs of the functions
Solve exponential and logarithmic equations
Find an exponential or logarithmic function to model a given set of data or situation
Solve problems involving exponential growth and decay
Quadratic Functions
Solve quadratic type equations by substitution
Apply quadratic functions and their graphs in the context of motion under gravity and simple optimization
problems
Find a quadratic function to model a given set of data or situation
Polynomials
Given a polynomial function, find the intervals on which the function’s values are positive and those where
it is negative
Solve polynomial equations and inequalities of degree of three or higher
Graph polynomial functions given in factored form using zeros and their multiplicities, testing the sign on
intervals and analyzing the function’s large scale behavior
Theorems: The Remainder Theorem, The Factor Theorem, The Fundamental Theorem of Algebra
Rational Functions and Difference Quotients
Solve equations and inequalities involving rational functions
Graph rational functions; identify asymptotes, analyzing their behavior for large x values and testing
intervals
Given vertical and horizontal asymptotes, find an expression for a rational function
Know and apply the definition and geometric interpretation of difference quotient
Simplify difference quotients
Interpret difference quotients as rates of change and slopes of secants lines
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Trigonometric Functions
Define and graph and use all trigonometric functions of any angle
Convert between radian and degree measure
Calculate arc lengths in given circles
Graph transformations of the sine and cosine functions
Explain the relationship between constants in the formula and transformed graph
Know basic properties of the inverse trigonometric functions, including their domains and ranges.
Recognize their graphs
Know the basic trigonometric identities for sine, cosine, and tangent
Pythagorean identities
Sum and difference formulas
Co-functions relationships
Double-angle and half angle formulas
Solve trigonometric equations using basic identities and inverse trigonometric functions
Prove and derive trigonometric identities
Find a sinusoidal function to model a given set of data or situation
Vectors, Matrices and Systems of Equations
Perform operations on vectors in the plan
Solve applied problems using vectors
Know and apply the algebraic and geometric definitions of the dot product of vectors
Know the definitions of matrix addition and multiplication
Add, subtract and multiply matrices
Multiply a vector by a matrix
Represent rotations of the plane as matrices and apply to find the equations of rotated conics
Define the inverse of a matrix and computer the inverse of two-by-two and three-by-three matrices
Computer determinants of two-by-two and three-by-three matrices
Write systems of two and three linear equations in matrix form
Solve systems using Gaussian elimination or inverse matrices
Represent and solve inequalities in two variables
Linear programming
Sequence, Series and Mathematical Induction
Know, explain and use sigma and factorial notation
Write an expression for the nth term
Write a particular term of a sequence when given the nth term
Understand, explain and use the formulas for the sums of finite arithmetic and geometric sequences
Compute the sums of infinite geometric series
Understand and apply the convergence criterion for geometric series
The principle of mathematical induction
Pascal’s triangle
Binomial theorem
Polar Coordinates, Parameterizations, and Conic Sections
Convert between polar and rectangular coordinates
Graph functions given in polar coordinates
Write complex numbers in polar form
De Moivre’s theorem
Evaluate parametric equations for given values of the parameter
Convert between parametric and rectangular forms of equations
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Graph curves described by parametric equations
Use parametric equations in applied contexts to model situations
Identify parabolas, ellipses and hyperbolas from equations
Write the equation in standard form and graph parabolas, ellipses and hyperbolas
Derive the equation for a conic section from given geometric information
Identify key characteristics of a conic section from its equation or graph
Identify conic sections whose equations are in polar or parametric form
Modeling Mathematics
Construct a tangent from a point outside a given circle to a circle
Cavalieri’s principle
Identify the shapes of two-dimensional cross sections of three-dimensional objects
Identify three dimensional objects generated by rotations of two-dimensional objects
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Calculus (Back to Top)
Limits of functions (including one-sided limits)
Calculate limits using algebra
Estimating limits from graphs or tables
Limits proofs for linear functions
Vertical asymptotes and infinite limits
Horizontal asymptotes and limits to infinity
L’Hospital’s Rule
Continuity
Understanding continuity in terms of limits
Types of discontinuity (infinite, jump, removable)
Determining continuity from a graph or rule for
a function
Intermediate Value Theorem
Derivatives
The Limit Definition of a Derivative
Compute derivatives of functions: power,
exponential, logarithmic, trigonometric, inverse
trig
Apply Product Rule, Quotient Rule, Chain Rule,
etc.
Understand the first and second derivative
graphically
Approximate derivative from graph or tables
Interpretation of the derivative as a rate of
change (limit of an average rate of change)
Relationship between differentiability and
continuity
Tangent line to curve
Linear approximation and differentials
Relationship between increasing and decreasing
behavior and the sign of the derivative
Mean Value Theorem
Relationship between concavity and the sign of
the second derivative
Inflection Points
Optimization Problems
Related Rates Problems
Implicit differentiation
Antiderivatives and initial value problems
Particle motion (position, velocity, acceleration)
Slope fields and solution curves for differential
equations
Integrals
Riemann sums
Basic properties of definite integrals
Integration tables
Applications of integrals (including areas, arc
length, volumes for solids of revolution)
Fundamental Theorem of Calculus, Parts I and II
Definite and indefinite integrals of basic
functions
Techniques of Integration (Substitution, Parts,
Partial Fractions, Trigonometric Substitution)
Improper Integrals
Numerical Approximation of Integrals
Separable differential equations
Parametric and Polar Curves
Graphs, derivatives, areas, arc length
Series and Sequences
Sequence convergence
Partial Sums and the definition of series
convergence
Geometric Series and their sums
Tests for series convergence
Test for divergence (nth term test)
Integral test and p-Series
Harmonic series and Alternating series
Alternating series
Comparison test and limit comparison test
Ratio and Root Test
Power series, radius and interval of convergence
Maclaurin and Taylor series
In addition, the concepts below are frequently seen by students in pre-Calculus courses and ones that all
Calculus tutors are expected to know and be able to assist students with:
Circle, ellipse, hyperbola, and parabola
Perform translations for various conic sections
Arithmetic and Geometric sequences
Trigonometric Ratios and Identities
Trigonometric graphs
Law of Cosines and Law of Sines
Functions and Graphs (Linear and Polynomial)
Exponential and Logarithmic Function
Trigonometric Functions
Linear and Polynomial Functions
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Calculus BC (Back to Top)
Calculus Basics
Combining Functions
Patterns in Graphs
Limits and Continuity
Finding Limits Analytically
Asymptotes as Limits
Relative Magnitudes for Limits
When Limits Do and Don't Exist
Continuity
Intermediate and Extreme Value Theorems
Derivatives
Slope and Change
Derivatives at a Point
The Derivative
The Power Rule
Sums, Differences, Products and Quotients
Graphs of Functions and Derivatives
Continuity and Differentiability
Rolle's and Mean Value Theorems
Higher Order Derivatives
Concavity
Chain Rule
Implicit Differentiation
Rates of Change
Extrema
Optimization
Tangent and Normal Lines
Tangents to Polar Curves
Tangent Line Approximation
Rates and Derivatives
Rectilinear Motion
Motion with Vector Functions
Integrals
Riemann's Sums
Area Approximations
The Definite Integral
Properties of Integrals
Graphing Calculator Integration
Application of Accumulated Change
The Fundamental Theorem of Calculus
Definite Integrals of Composite Functions
Analyzing Functions and Integrals
Area Between Curves
Volumes of Revolution
Cross Sections
o Arc Length
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Inverse and Transcendental Functions
Derivatives of Inverses
Inverse Trigonometric Functions
Logarithmic and Exponential Review
Transcendentals and 1/x
Derivatives of Logarithms and Exponentials
L'Hopital's Rule
Analysis of Transcendental Curves
Integrating Transcendental Functions
Partial Fractions
Integration by Parts
Improper Integrals
Application of Transcendental Integrals
Derivatives of Parametric Functions
Integrating Parametric and Polar Functions
Separable Differential Equations
and Slope Field
Slope Fields
Differential Equations and Models
Euler's Method
Exponential Growth
Application of Differential Equations
Sequences and Series
Sequences
Series
Convergence Tests
Radius of Convergence
Functions Defined by Power Series
Taylor and Maclaurin Series
Taylor's Theorem and Lagrange Error
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Multivariable Calculus (Back to Top)
Vectors & Geometry of Space
in Multiple Dimensions
Two-Dimensional Coordinate Systems
Three-Dimensional Coordinate Systems
Vectors
Cylindrical Coordinates
Spherical Coordinates
The Dot Product
The Cross Product
Equations of Lines and Planes
Cylinders and Quadric Surfaces
Functions of Several Variables
Vector Functions
Vector Functions and Space Curves
Derivatives of Vector Functions
Integrals of Vector Functions
Tangent, Normal, and Binormal Vectors
Arc Length and Curvature
Motion: Position, Velocity, and Acceleration
Multivariable Differentiation
Limits and Continuity
Partial Derivatives
Differentials
Chain Rule
Tangent Planes and Linear Approximations
The Gradient Vector Operator and Directional
Derivative
Critical Points: Relative and Absolute Extrema
Lagrange Multipliers
Multivariable Integration
Double Integrals over General
Regions
Double Integrals in Polar
Coordinates
Applications of Double Integrals
Triple Integrals
Triple Integrals in Cylindrical and
Spherical Coordinates
Applications of Triple Integrals
Change of Variables: Jacobian of a
Transformation
Vector Calculus: Line Integrals
Vector Fields
Line Integrals
The Fundamental Theorem For
Line Integrals
Conservative Vector Fields
Potential Functions of Vector
Fields
Green's Theorem
The Divergence and Curl Vector
Operators
Vector Calculus: Surface Integrals
Parametric Surfaces and Area
Surface Integrals
Stokes' Theorem
Gauss' Divergence Theorem
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Finite Math (Back to Top)
Solve linear equations and inequalities.
Graph linear equations in two variables.
Use mathematical modeling and linear regression to make predictions.
Solve function problems.
Quadratic Functions
Polynomial and Rational Functions
Solve exponential function problems.
Solve logarithmic function problems.
Solve simple interest problems.
Solve compound interest problems.
Solve problems involving future and present value of annuities. (sinking funds and amortization)
Solve systems of linear equations.
Gauss Jordan Elimination
Perform operations on matrices.
Inverse of a square matrix
Solve matrix equations.
Apply matrices in a real-world scenario.
Inequalities in two variables
Systems of linear inequalities in two variables
Solve linear programming problems geometrically
Geometric Introduction to the Simplex Method
Maximization and Minimization with Mixed Problem Constraints
Basic Counting Principles
Permutations and Combinations
Sample Spaces, Events and Probability
Apply counting principles to solve problems.
Conditional Probability, Intersection and Independence
Solve probability problems.
Random Variables, Probability Distribution and Expected Value
Solve problems involving discrete probability.
Solve problems involving discrete probability.
Make decisions by computing the expected value of random variables.
Summarize and present data using graphs, measures of central tendency, and measures of dispersion.
Bernoulli Trials and Binomial Distribution
Normal Distributions
Solve linear programming problems geometrically.
Solve linear programming problems by the simplex method.
Solve problems involving Markov chains.
Properties of Markov Chains
Regular Markov Chains
Absorbing Markov Chains
Solve problems involving game theory.
Strictly Determined Games
Mixed Strategies Games
Linear Programming and 2 x 2 games - geometric approach
Linear programming and m x n games - simplex method and the dual
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Discrete Math (Back to Top)
Apply basic enumeration techniques.
Simplify assertions and compound statements in first-order logic.
Apply basic set-theoretic concepts.
Apply the principles of mathematical induction and recursion.
Apply the basic concepts of computational complexity and algorithmic analysis.
Solve problems of iteration.
Manipulate relations and simple functions and their inverses.
Use the properties of relations.
Apply the properties of equivalence relations and partitions.
Use the Principle of Inclusion and Exclusion.
Identify graph isomorphism, planarity, connected components, and chromatic numbers.
Identify properties of a tree.
Apply properties of general graphs.
Apply the basic concepts of Boolean algebra.
Use the basic laws of Boolean algebra.
Convert Boolean expressions into a disjunctive or conjunctive normal form.
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Statistics (Back to Top)
Analyze Data
Confidence Intervals
Correlation
Expected Values and Probability Distributions
Hypothesis Testing
Infer and Predict
Regression
Sample Distributions and Central Limit Theorem
Collect Data
Experiments and Data Collection
Sampling
Probability
Computing Probability
Counting - Combinations and Permutations
Summarize Data
Data Distribution
Display Data
Measures of Data
Read, Interpret, Classify Data
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Intermediate Statistics (Back to Top)
Probability
Probability Theory
Random Variables
Simulations (including Monte Carlo)
Discrete Probability Distributions
General
Binomial & Negative Binomial
Geometric & Hypergeometric
Poisson
Multinomial
Continuous Probability Distributions
Normal/Student's T
Log Normal
Bivariate
Gamma & Beta
Exponential
Chi-square
F
Statistical Inference
Confidence Intervals
Hypothesis Testing
Errors, Power, & Effect Size
ANOVA
One-way ANOVA
Two-way ANOVA
Factorial interactions
Randomized block ANOVA
Repeated Measures
Post-hoc analysis/multiple
comparisons (Bonferroni,
Tukey, LSD)
Nonparametric Tests
1-sample sign test
Wilcoxon rank test
Kruskal-Wallis Test
Friedman Test
Mann-Whitney Test
Mood's Median Test
Spearman Rank Correlation
Regression and Correlation
Simple Linear Regression
Multiple Regression
Logistic Regression
Polynomial Regression
ANCOVA
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Quantitative Reasoning (Back to Top)
Logic/Critical Thinking
Truth Tables
Simple Statements
Venn Diagrams
Compound Statements
Analyzing Arguments
Arithmetic Knowledge
Fractions
Decimals and Rounding
Scientific Notation, Powers of 10, and
Approximations
Rate, Ratio and Proportion
Percentages
Uses and Abuses of Percentages
Index Numbers
Unit Conversions
Interpretation of Graphs
Geometry/Trigonometry
Perimeters and Areas of Basic Geometric Shapes
Measures of Distance and the Pythagorean
Theorem
Volume and Surface Area
Basic Trigonometry
Graphs of the Trigonometric Functions
Applications of Trigonometry
Functions
Definition and the Vertical Line Test
One-to-one and Inverse Functions, the
Horizontal Line Test
Linear Functions (Standard and Slope-
Intercept Forms of Equations)
Applications of Linear Models
Linear Inequalities
Nonlinear Models (Exponential, Power,
Logarithmic)
Graphing Functions (Excel or TI-84/83)
Solving systems of equations (Linear &
Nonlinear)
Linear Programming (Graphical Method)
Linear Programming (Simplex Method)
The Mathematics of Finance
Simple Interest
Compound Interest (Lump Sums and
Annuities)
Applications of Compound Interest
Amortization Schedules
Descriptive Statistics
Measures of Central Tendency
Measures of Spread/Dispersion/Variation
Percentiles & Z-scores
Graphing Tools Used to Summarize Data
Designing & Analyzing Studies
Observational vs Experimental Studies
Sampling Methods (Strengths and
Weaknesses)
Critical Evaluation of Statistical Studies
Probability Rules & Simulation
Counting Methods - Multiplication Principle,
Permutations, Combinations
Probability Concepts and Rules
Independent vs. Dependent Events
Joint vs. Disjoint (Mutually Exclusive) Events
Law of Large Numbers
Simulation Using TI-84/83 or MS Excel
Probability Distributions
Discrete vs Continuous Distributions
Normal Distribution
Random Variables and Probability
Distributions
Expected Value & Risk Assessment
Binomial and Geometric Distributions,
including Normal Approximation to the
Binomial Distribution
Inductive/Deductive Reasoning
Inference & Regression
Central Limit Theorem
Logic of Confidence Intervals
Logic of Hypothesis Testing
One Sample Inference About a Population
Mean
One Sample Inference About a Population
Proportion
Scatterplots & Correlation
Simple Linear Regression
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Quantitative Methods (Back to Top)
Applications and Limitations
of Quantitative Analysis
Business and Decision Analysis
Arts and Social Sciences
Medical and Health Sciences
Data and Terms
Data Quality and measures
Multivariate data
F Statistic
Coefficient Interpretation
Data Sensitivity
Hypothesis Testing
Decision Models
Maximin and Maximax
Hurwicz
Expected Value and Expected Value Perfect
Information
Decision Tree
Equal Likelihood
Highest Value vs Lowest Cost
Forecasting
Linear Regression
Non-Linear Regression
Moving Average
Exponential Smoothing
Seasonal Index
Linear Algebra
Vector
Matrix
Determinant
Solving systems
Calculus
Functions
Derivatives
Optimization
Advanced Statistical Modeling
Chi Square
Data Clustering
ANOVA
Simulation
Probability Modeling
Page | 23
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Linear Algebra (Back to Top)
Systems of Linear Equations
Homogeneous and non-homogeneous systems
Matrix representation of system
Row reduction and echelon forms
Gaussian and Gauss-Jordan elimination
Consistent and inconsistent systems
Matrix Properties and Arithmetic
Addition, Subtractions, Scalar Multiplication
Matrix multiplication
Transpose of a matrix
Special Matrices - Identity, zero, diagonal, etc.
Elementary matrices and elementary row
operations
Row equivalence
Determinants
Determinant of 2 x 2 and 3 x 3 matrices
Co-factor expansion
Cramer's Rule
Theorems involving determinants and invertibility
Properties of determinants
Linear Transformations
Properties of linear transformations
Matrix representation of linear transformation
Kernel
Range
Change of basis
Vector Spaces
Linear dependence and
independence
Rank and nullity of a matrix
Properties of vector spaces
Subspaces
Span of a vector space
Basis of a vector space
Properties of vectors and vector
arithmetic
Eigenvalues and Eigenvectors
Eigenvalues and Eigenvectors
The Characteristic Equation
Matrix Decomposition
LU decomposition
QR decomposition
Diagonalization
Singular Value decomposition
Orthogonality/Least Squares
Inner product spaces
Orthogonality
Orthonormal bases
Gram-Schmidt
orthonormalization
Least squares regression
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Differential Equations (Back to Top)
Introduction to Ordinary Differential Equations
Define and classify differential equations
Determine whether a function is a solution to a DE
Existence and Uniqueness Theorem
Principle of Superposition
1st order Ordinary Differential Equations
Identify 1st order linear, separable, exact, Bernoulli,
and homogeneous
1st order ODEs
Find general solution for 1st order ODEs
Solve 1st order initial value problems
Construct and solve ODEs for applications such as
mixtures, populations, and Newtonian Mechanics
Gaining information about ODEs without solving
Identify autonomous 1st order ODEs
Find and classify equilibrium solutions to autonomous
1st order ODEs with constant coefficients
Predict end behavior of solution
to autonomous ODE given initial condition
Construct, identify, and interpret slope/direction fields
Euler's method
Higher Order ODEs
Linear independence of solutions
Construct and solve problems involving harmonic
motion, electrical circuits, and projectile motion
Solve linear higher order ODEs with constant
coefficients using method of undetermined
coefficients
Find second solution to 2nd order
ODE using method of Reduction of Order
Find particular solution to 2nd order
nonhomogeneous ODE using variation
of parameters
Solve Cauchy-Euler equations
Laplace Transforms
Compute Laplace transforms of simple
functions using definition of Laplace transform
Compute Laplace transforms of polynomial,
exponential, and trig functions using table
Solve IVPs using Laplace transforms
Power Series Solutions of ODEs
Manipulate power series
Identify ordinary and singular points of ODEs
Evaluate recurrence relations
Find power series solutions of ODEs
Systems of 1st Order Differential Equations
Use row operations to reduce matrices
Compute eigenvalues and eigenvectors of square
matrices
Solve system of two 1st order linear ODEs with
constant coefficients using matrix methods
Convert 2nd order linear ODE to a system of two
first order linear ODEs
Orthogonality
Orthonormal bases
Gram-Schmidt orthonormalization
Least squares regression
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Primary (K-2) Science (Back to Top)
Interdependent Relationships in
Ecosystems: Animals, Plants, and Their
Environment
Organization for Matter and Energy
Flow in Organisms
Biogeology
Natural Resources
Human Impacts on Earth Systems
Developing Possible Solutions
Structure, Function, and Information
Processing
Structure and Function of Organisms
Growth and Development of
Organisms
Plant and Animal Responses
Inheritance of Traits
Variation of Traits
Interdependent Relationships in
Ecosystems
Interdependent Relationships in
Ecosystems
Biodiversity and Humans
Developing Possible Solutions
Weather and Climate
Conservation of Energy and Energy
Transfer
Weather Patterns
Natural Hazards
Defining and Delimiting Engineering
Problems
Space Systems: Patterns and Cycles
The Universe and Its Stars
Earth and the Solar System
Earth's Systems: Processes That Shape the
Earth
The History of Planet Earth
Earth Materials and Systems
Plate Tectonics and Large-Scale
Interactions
The Roles of Water in Earth's Surface
Processes
Optimizing the Design Solution
Forces and Interactions: Pushes and Pulls
Forces and Motion
Types of Interactions
Relationship Between Energy and
Forces
Waves: Light and Sound
Wave Properties
Electromagnetic Radiation
Information Technologies and
Instrumentation
Structures and Properties of Matter
Phases of Matter
Chemical Reactions
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Elementary (3-6) Science (Back to Top)
Physical Science
Forces and Interactions
Energy
Waves: Waves and Information
Structure and Properties of Matter
Earth & Space Science
Weather and Climate
The History of Planet Earth
Earth's Materials and Systems
Space Systems: Stars and the Solar System
Life Science
Interdependent Relationships in Ecosystems
Inheritance and Variation of Traits
Structure, Function, and Information Processing
Matter and Energy in Organisms and Ecosystems
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Elementary (7-8) Science (Back to Top)
Life Science
Cells and Multicellular Organisms
Matter and Energy in Organisms and Ecosystems
Interdependent Relationships in Ecosystems
Natural Selection and Adaptations
Growth, Development, and Reproduction of Organisms
Earth and Space Science
Space Systems
History of Earth
Earth's Systems
Weather and Climate
Human Impacts
Physical Science
Chemical Reactions & Matter
Forces and Interactions
Energy
Waves and Electromagnetic Radiation
Page | 28
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Earth Science (Back to Top)
Math basics
Algebra
Dimensional analysis
Metric system
Scientific notation
Significant digits
Nature of Science
Accuracy and precision
Bias and Ethics
Communication
Data collection and analysis
Graphical interpretations
Models
Scientific Method
Scientific Quantities
Scientific Thinking
Scientists and Discoveries
Theories and Laws
Tools and Measurement
Geology
Biomes
Chemical Cycles
Climate change
Ecosystems
Energy flow Carbon cycle Population
Growth
Erosion and Weathering
First Principle of Geology
Fossils
Glaciers
Human impact/changes to planet
Law of Superposition
Minerals
Natural disasters causes, effects, impact
Natural Resources
Plate Tectonics
Pollution
Population
Principle of Uniform Process
Radioactive dating of rocks
Relative Age
Soil
Time
Types of Rock and the Rock Cycle
Unconformity
Water
Meteorology
Air
Weather Conditions and how they are
created
Global Weather
Prediction, forecast and measurement
Tools for measuring weather conditions
Weather map construction and
interpretation
Clouds
Air Mass
Climates
Oceanography
Sea Floor Profile
Parts of the Ocean
Salinity
Contributories to the water in the ocean
Resources
Coriolis Effect
Major currents in the world and features
Waves
Tsunami characteristics
Astronomy
Earth, Sun, and Moon System
Features of the Moon
Theories of the creation of the moon
Sun
Solar system
Stars
Galaxies
Big Bang Theory and evidence
Space probes and exploration
Telescopes
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Biology (Back to Top)
Chemistry of Life
Atoms
Carbohydrates, Lipids, Proteins, and Nucleic
Acids
Chemical Gradients
Important properties of water
Molecular Movement, Osmosis and Diffusion
Monomers and Polymers
Origins of life
pH
Cell Structure and Function
Active and Passive Transport
Cell junctions
Cellular Transport across the Cell Membrane
Facilitated Diffusion
Fluid Mosaic Model of the Cell Membrane and
Semi-permeability
Prokaryotic and eukaryotic cells
Receptor Proteins
Signaling Molecules
Structure and function of cellular components
Cellular Energetics
Autotrophs and Heterotrophs
Calvin Cycle
Cell cycle
Cell Cycle Checkpoints
Cell Reproduction
Change in free energy
Chemosynthesis
Coupled reactions, activation energy, and ATP
Electron Transport Chain
Enzymes, Enzymatic Functions, and Enzymatic
Pathways
Exergonic and Endergonic Reactions
Fermentation
G0, G1, S, G2, and M Phases of the Cell Cycle
Glycolysis
Krebs Cycle
Light-Dependent Reactions of Photosynthesis
Meiosis
Mitosis
Oncogenes and Tumor Suppressors in relation
to cell cycle
Ploidy
Molecular Biology
DNA and genome structure
Famous experiments
Genetic Engineering Techniques and Their
Uses
Introns and mRNA splicing
Mutations and Chromosomal Abnormalities
Regulation of Gene Expression and Epigenetics
Semi-conservative replication
Transcription
Translation and protein processing
Heredity
Dominance, co-dominance, and incomplete
dominance
Inheritance
Mendel's Law of Heredity
Mitochondrial DNA
Monohybrid, Dihybrid, and Trihybrid Crosses
Pedigree Analysis
Probability of Genotypes or Phenotypes based
on Genetic Crosses
Sex-linked Traits
Evolution and Phylogeny
Cell Theory and Characteristics of Life
Common Ancestry
Evidence Supporting Evolution
Examples of Selective Pressures and Their
Effects on Population
Natural Selection and Fitness
RNA World Hypothesis
The Role of Genetic Drift, Mutation, and Sexual
Reproduction in Evolution
Theory of Endosymbiosis
Three-Domain Hypothesis
Types of Selection
Hardy-Weinberg Equilibrium
Phylogenetic Trees & Cladograms
Speciation & Extinction
Taxonomy
Bacteria
Bacterial Conjugation
Basic Structures
Binary Fission
Characteristics
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Viruses
Basic Structure Including:
Capsid/Coat Proteins
Characteristics
Genetic Material (including Reverse
Transcriptase for RNA viruses)
Lytic and Lysogenic Stages of Virus Life Cycle
Relationship of Cell Receptors to Entrance of
Viruses into Host cells
Relationship of Viruses to Cancer
Role of Mutation on the Evolution of Viruses
Animal Form & Function
Animal Behavior
Animal Reproduction
Body Plan Development
Characteristics of the Following Taxa:
Endotherms and Ectotherms
Epithelial, Connective, Muscle, Nervous
Homeostasis, Feedback Loops, and Hormones
Origin and Function of the Following Cell
Types
Protists, Porifera, Cnidaria, Nematoda,
Mollusca, Annelida, Arthropoda,
Echinodermata, Chordata
Surface Area to Volume
Tissues, Organs and Organ Systems
Plant Form & Function
Adaptations of Plants to Land
Alternation of Generations
Evolution of Plants from Algae
Plant Reproduction
Plant Structures
Pollen, Seeds, Flowers, and Fruit
Response to Stimuli (hormones involved)
Vascular and Nonvascular Plants
Fungi
Fungal Structures
Reproduction
Role in Decomposition
Ecology
Biodiversity
Biogeochemical cycles
Biomes
Biotic and Abiotic Factors Affecting
Environments
Ecosystem Energy Flow
Interactions between species and types of
symbiosis
Life History Strategies
Population Growth and Regulation
Producers, Consumers, and Decomposers
General Science
Assistance with Lab-related Assignments
Development of Science Fair Projects
Interpreting and Graphing Scientific Data
Interpreting and Summarizing Information
from Literature
Reviewing Reports for Science Content
Lab techniques
Bacterial culturing
Centrifugation
Gel electrophoresis
Microscopy
Serial dilution
Spectrophotometry
Page | 31
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Chemistry (Back to Top)
Atoms, Elements, Compounds
Atomic Theory, Elements
Avogadro's Number, Mole
Compounds, Mixtures
Isotopes
Atomic and Mass Number
Charge and Ions
Nomenclature, Formulas
Periodic Table
Periodic Trends
Subatomic Particles
Orbitals
Electron Configuration
Quantum Numbers
Chem-based Math
Measurement
Accuracy, Precision
Metric System, Units
Significant Figures, Rounding
Unit Conversions
Scientific Notation
Chemical Equations, Reactions
Balance Chemical Equations
Predicting Reaction Products
Net Ionic Equations
Rates, Rate Laws
Redox Reactions
Stoichiometry, Limit. Reactants
% Yield, Excess Reactant
% Composition
Emp. and Mol. Formulas
Types of Chemical Reactions
Bonding
Types of Bonding
Intermolecular Forces
Lewis Structures
VSEPR Theory
Polarity, Resonance
Orbitals, Hybidization
Lab Techniques
Tools, Measurement
Lab Safety
Matter
States, Types
Chemical, Physical Properties
Chemical, Physical Changes
Gas Laws
Kinetic-Molecular Theory
Organic Chem., Biochemistry
Org. Cmpds., Nomenclature
Functional Groups
Biochemical Compounds
Other
Disconnect
Other
Out of Scope
Physical, Nuclear Chemistry
Electromagnetic Radiation
Enthalpy, Entropy
Free Energy, Spontaneity
Exothermic, Endothermic
Thermodynamics
Radioactive Decay, Half-Life
Scientific Method, Lab Report
Lit. Review, Research
Question, Hypothesis
Theories, Laws
Instrumentation, Data
Variables
Data Analysis
Inferences, Conclusions
Solutions, Rxns in Solution
Acids, Bases (Strong and Weak)
Chemical Equilibrium
ICE Tables
Colligative Properties
Electrochemistry
Molarity, Other Concentrations
pH, pOH
Solubility
Electrolytes
pKa and Buffers
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Physics Algebra-based (Back to Top)
Math basics
Algebra and Trigonometry
Dimensional analysis
Metric system
Scientific notation
Significant digits
Vectors and scalars
Nature of Science
Accuracy and precision
Bias and Ethics
Communication
Data collection and analysis
Models
Pseudo Sciences
Safety
Science and Society
Scientific Method
Scientific Quantities
Scientific Thinking
Scientists and Discoveries
Theories and Laws
Tools and Measurement
Kinematics
Position, Distance, and Displacement
Speed and velocity
Acceleration
Position vs time graphs
Velocity vs time graphs
Kinetic equations under constant
acceleration
Free fall equations
Projectiles
Circular motion
Center of mass
Dynamics
Newton’s Laws
Work, energy and power
Work and work-kinetic energy theorem
Conservative forces and Potential energy
Conservation of mechanical energy
Power
Simple Harmonic motion
Momentum
Sources of energy on Earth
Fluid Mechanics
Density and Pressure
Buoyancy Archimedes’ Principle
Fluid dynamics
Fluid Flow continuity equation
Bernoulli’s Equation
Fluid Mechanics (Cont'd)
Hydrostatics
Fluid Pressure
Thermal Physics
Heat
Temperature
Mechanical Equivalent of heat
Heat Transfer and thermal expansion
Calorimetry
Kinetic Theory
Ideal Gases
Gas laws
Thermodynamics
Electrostatics
Electric charges
Conductors, insulators and semi-conductors
Charging by conduction
Charging by induction
Coulomb’s Law
Electric fields
Gauss’ Law
Electric Potential Energy and Electric
Potential
Motion of charges particles in electric fields
Capacitance
Current Electricity
EMF
Circuits
AC/DC
Current
Resistance
Electric Power
Electric Energy
Resistors in series
Resistors in Parallel
Batteries and Internal Resistance
Kirkoff’s Law
Ohm’s Law
Voltmeters
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Ammeters
RC circuits
Electromagnetism
Force of a magnetic field on a moving
charge
Force of a magnetic field on a current
carrying wire
Torque on a current carrying loop
Magnetic fields due to straight and coiled
wires
Electromagnetic Induction
Magnetic flux
Faraday’s Law
Lens’s Law
Electromagnetism (cont'd)
Motors
Mass Spectrometers
Generators
Wave Motion and Sound
Description and characteristics of waves
Types of waves
Standing waves
Beats
Harmonics
Wave on a string
Wave in a tube
Doppler Effect
Sound intensity
Sound Power
Relative sound intensity
Optics
Reflection
Law of reflection
Refraction
Snell’s Law
Total Internal reflection
Critical angle
Images formed by plane mirrors
Images formed by spherical mirrors
Images formed by parabolic mirrors
Images formed by lenses
Ray-diagrams
Thin lens
Mirror equation
Image formation by a two-lens system
Interference
Diffraction
Polarization
The electromagnetic spectrum
Inverse square law
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Modern Physics
Atomic Physics and Quantum Effects
Nuclear Physics
Atomic mass
Mass number
Atomic number
Mass defect and binding energy
Nuclear processed
Mass-energy equivalence
Conservation of energy-mass
Nuclear symbols
Nuclear reactions
Neutrino
Chain reactions
Isotopes
States of matter
Atomic Models
Page | 35
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Physics Calculus-based (Back to Top)
This subject covers the material from AP Physics C-Mechanics, AP Physics C-Electricity and Magnetism, and
introductory college level physics courses that require calculus as a prerequisite.
Math Basics
Algebra, trigonometry and calculus
Dimensional analysis
Units and unit conversions
Scientific notation
Estimates and orders of magnitudes
Significant figures
Vectors and scalars
Cross product, Dot product
Derivatives, Integrals
Nature of Science
Accuracy and precision
Data collection via observation and
measurement and the analysis of this data
Error analysis
Experimental design
Models
Scientific method
Tools and measurement
Communicating scientific results
Newtonian Mechanics
Kinematics (Motion Along a Straight Line)
Position, distance, and displacement
Average and instantaneous velocity
Average and instantaneous acceleration
Position vs time graphs
Velocity vs time graphs
Acceleration vs time graphs
Differential determination of position, velocity
and acceleration as a function of time
Kinematic equations under constant
acceleration
Dynamics
Newton’s Laws of Motion
Mass and weight
Fundamental forces of nature
Static and kinetic friction
Air resistance
Elevator problems
Incline planes
Atwood Machines
Dynamics of circular motion
Work, energy, and power
Work and the work-kinetic energy theorem
Integrate to calculate the work performed by a
varying force
Conservative forces and potential energy
Non-conservative forces
Work, energy, and power(cont'd)
Conservation of mechanical energy
Energy diagrams
Power
Systems of particles, linear momentum, impulse and
collisions
Center of mass
Two object system
Momentum
Circular Motion and Rotations
Uniform circular motion
Angular velocity and acceleration
Frequency and period
Vertical circular motion
Rotational kinematics
Moment of inertia
Rotational inertia
Parallel axis theorem
Rotational kinetic energy
Work and power in rotational motion
Torque
Torque and angular acceleration for a rigid
object
Rotation of a rigid object around a fixed axis
Equilibrium and Elasticity
Rotational equilibrium (torque)
Conditions for static equilibrium
Center of gravity
Stress, strain, and elastic moduli
Elasticity
Fluid Mechanics
Density and Pressure
Buoyancy Archimedes’ Principle
Fluid dynamics
Fluid Flow continuity equation
Bernoulli’s Equation
Hydrostatics
Fluid Pressure
Viscosity and Turbulence
Gravitation
Universal Gravitation
Gravitational Fields
Orbits
Kepler’s Laws of Planetary Motion
The Motion of satellites
Apparent Weight
Oscillatory Motion
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Thermal Physics
Heat, Temperature
Mechanical Equivalent of heat
Heat Transfer and thermal expansion
Calorimetry
Kinetic Theory
Ideal Gases, Gas laws
Thermodynamics
Electricity and Magnetism
Electrostatics
Electric charges
Conductors, insulators and semiconductors
Charging by conduction and induction
Coulomb’s Law
Electric fields, Electric Field Lines
Electric Dipoles, Electric Flux
Gauss’s Law
Electric Potential Energy and Electric
Potential
Potentials of charge distributions
Conductors, Capacitors and Dielectrics
Electrostatics with conductors
Equipotential surfaces
Capacitance
Dielectrics
Current and Resistance
Current
Resistivity
Resistance
Direct Current Electric Circuits
EMF
Electric Power, Electric Energy
Resistors in series and in parallel
Batteries and Internal Resistance
Kirchhoff’s Law, Ohm’s Law
Voltmeters, Ammeters
RC circuits
Magnetic Fields
Sources of magnetic fields
Right-hand rule
Left-hand rule
Force of a magnetic field on a moving
charge
Force of a magnetic field on a current
carrying wire
Torque on a current carrying loop
Magnetic fields due to straight and coiled
wires
Biot-Savart Law, Ampère’s Law
Electromagnetism
Motion of charged particles in electric and
magnetic fields
Electromagnetic induction
Magnetic flux
Inductance
Electromagnetism (Cont'd)
RL circuits, LC circuits, LRC circuits
Faraday’s Law, Lenz’s Law
Alternating current circuits
Displacement current
Maxwell’s equations
Motors
Mass spectrometers
Generators
Transformer
Wave, Motion, and Sound
Description and characteristics of waves
Types of waves
Standing waves
Beats
Harmonics
Wave on a string
Wave in a tube
Doppler Effect
Sound intensity
Sound Power
Relative sound intensity
Optics
Nature and Propagation of Light
Reflection, Law of reflection
Refraction
Snell’s Law
Total internal reflection
Critical angle
Geometric Optics
Physical Optics
Modern Physics
Quantum Mechanics and the nature of light
Relativity
Atomic physics and quantum effects
Nuclear physics
Page | 37
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Microbiology (Back to Top)
The microbiology course is considered an advanced science course. It is expected that tutors are
knowledgeable in foundational biological, chemical and mathematical concepts as they underlie and
relate to microbiology
Basic Biology
Eukaryotes
Prokaryotes
Cellular division of eukaryotic and prokaryotic
cells
Functional anatomy of various cells
Whitaker Five Kingdoms
Woese Three Domain clarification
Microbial Traits
Types
Nutrition
Growth
Control in various environments
Structure
Metabolism
Pathways
Catabolism
Anabolism
Gram positive bacteria anatomy
Gram negative bacteria anatomy
o Deinococci
o Nonproteobacteria
Biochemistry processes
Recombinant DNA technology
Taxonomy and classification (Bergey)
Cytology
Cellular physiology
Genetics
Structure
Replication
Expression
Mechanisms of variation
Mapping of distances in genes
Lac operon
Lac repressor
Trp operon
Arabinose operon
Genetic recombination
Transformation
Conjugation
Transduction
Ecology
Biogeochemical cycling
Microorganisms in marine and freshwater
ecosystems
Microorganisms in terrestrial ecosystems
Symbiosis
Mutualism
Commensalism
Parasitism
Pathogenicity
Germ Theory
Infection and reproduction
Host and parasite relationship
Infectious disease
Disease transmission
Nosocomial infections
Mechanisms of pathogenicity
Antimicrobial drugs
Important pathogens and diseases
Sterilization
Disinfection
Immunization
Innate host resistance
Adaptive Immunity
Sanitation
Hygiene
Health
Epidemiology
Antimicrobial chemotherapy
Microbiology of food
Industrial microbiology
Laboratory Techniques
Basic laboratory equipment identification
Guidelines for safe handling of
microorganisms and infectious materials
Microscope use including oil emersion
Methods for taking clinical samples
Incubation techniques
Inoculation techniques
Isolation techniques
Identification techniques
Chromatography
Spectrophotometry
Serial dilution technique and calculations
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Organic Chemistry (Back to Top)
Structure & Bonding
Electron Configurations of Atoms
Chemical Bonding & Valence
Charge Distribution in Molecules
The Shape of Molecules
Isomers
Analysis of Molecular Formulas
Resonance
Atomic and Molecular Orbitals
Intermolecular Forces
Boiling & Melting Points
Hydrogen Bonding
Crystalline Solids
Water Solubility
Functional Groups Properties, Nomenclature,
Synthesis, & Reactions of…
Alkanes
Alkenes
Alkynes
Alkyl halides
Alcohols
Aromatics
Ketones
Ethers
Esters
Carboxylic acids
Amides
Amines
Acids & Bases
Arrhenius acids and bases
Lowry-Brønsted Acids & Bases
Lewis Acids and Bases
Acid dissociation constants and pH
Effect on acidity
Stereochemistry
Isomers
Constitutional isomers
Stereoisomers
Chiral and achiral
Enantiomers
Optical activity
R and S configurations
Diastereomers
Fischer projections
Meso compounds
Nucleophilic Substitution, Elimination, and
Addition reactions
Biochemicals Structure & Function of…
Carbohydrates
Lipids
Amino acids
Proteins
Enzymes
Vitamins
Lab techniques
Synthesis of compounds (solid and gas)
Separation techniques
Melting point determination
Nuclear Magnetic Resonance (NMR)
spectrometer operation and analysis
Infrared (IR) spectrometer operation and
analysis
Gas chromatography and Mass
Spectrometry (GC-MS) analysis
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Electrical Engineering (Back to Top)
Communication skills in engineering
Overview of the process of engineering design for
electrical and electronic systems
Electrical and Electronic Careers
Engineering Notation & Measurements
Fundamental Electrical Properties
Ohm’s Law and Power
Measuring voltage, current, and resistance with
multimeters
Preparing electrical cables (Romex) for use in
residential wiring
Series circuits
Parallel circuits
Wiring a basic lighting circuit
Analog and Power Electronics
Digital Electronics & Design
Measurements & Instrumentation
Mathematical Modelling and Analysis
AC Circuit Analysis
Complex Numbers and Phasors in Polar or
Rectangular Form
AC Circuits Phasors and Impedance
Transformers
Computer Organization & Architecture
Physics of Electronics and Nanotechnology
Programming and Control systems
Photonics and Communication Systems
Transducer & Sensors
Microprocessor and Microcontrollers
Electromagnetic Theory and
Semiconductor Devices
Electrical Machine Design & Signal
Processing
Materials Science
Labs:
Circuits & Network Lab
Electrical & Electronic
Measurement Lab
Data Structure Lab
Numerical Methods &
Programming Lab
Analog Electronic Circuits Lab
Digital Electronics & Integrated
Circuits Lab
Electronic Measurements &
Instrumentation
Transducer & Sensors Lab
Technical Report writing for the Lab
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Environmental Science (Back to Top)
Chemistry of Environmental Science
Atmosphere & pollution
Air composition
Particulate matter
Analytical methods and equipment
Health effects
Ozone
Regulations
Toxicology
Ecosystem Ecology
Flora and fauna
Biodiversity
Nutrient cycling
Biogeography
Forestry
Invasive species
Ecological Disturbance and Successions
Biotic and abiotic factors
Biomes and ecosystems
Energy and the environment
Renewable energy sources
Non-renewable energy sources
Environmental impacts of fossil fuels
Energy efficiency and conservation
Human Population Impact
Human population growth
Consumption
Deforestation
Urbanization
Waste management
Energy and the environment
Renewable energy sources
Non-renewable energy sources
Environmental impacts of fossil fuels
Energy efficiency and conservation
Water resources and pollution
Water cycle
Chemistry of water
Physical properties of water
Freshwater systems
Salt water systems
Groundwater
Water contamination
Water treatment
Water sampling and analysis
Regulations
Soil, Agriculture, and Food Sources
Soil composition formation and
development processes
Soil physical properties
Soil chemical properties
Agriculture
Soil and/or groundwater pollution
Threats to the environment by soil pollution
Remediation
Soil sampling and analysis
Regulations
Solid hazardous waste
Environmental management
Environmental economics
Environmental policies, procedures, and
strategies
Sustainability
Green business
Environmental Ethics & Equity
Conservation & Climate Change
Greenhouse gases
Impacts
Technologies
policies
Orbital and solar forcing
Properties of light and albedo
Climate and weather
Climate modeling
Paleoclimate and proxies
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Astronomy (Back to Top)
History/Philosophy of Astronomy
Geocentrism vs. Heliocentrism
Ptolemy and Aristotle
Copernicus and Galileo
Astronomical Instruments
Telescopes and Light
Radio Telescopes
Terrestrial vs. Orbiting Telescopes
Orbits and Gravity
Isaac Newton and Gravity
The Laws of Planetary Motion
Gravity with More than two bodies
Stellar Nucleosynthesis and
The Origin of the Solar System
Stellar Nucleosynthesis
Stellar Mass and H-R Diagram
Origin of the Solar System
Terrestrial Planets
Mercury Geology and Meteorology
Venus Geology and Meteorology
Earth Geology and Meteorology
Mars Geology, Meteorology, and Divergent
Planetary Evolution
Earth and Moon Dynamics
Origin of the Moon
Lunar Cycles
Tidal Relationships with the Moon
Gas Giants
Overview of Gas Giants
Meteorology of Gas Giants
Rings, Moons, and Pluto
Interstellar Space and Celestial
Distances
Fundamental Units of Distance
The Interstellar Medium
The Life Cycle of Cosmic
Material
Asteroids, Comets, and Black Holes
Asteroid Characteristics
Comet Characteristics
Black Hole Overview
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Biochemistry (Back to Top)
Biomolecules
Informational macromolecules (Proteins and Nucleic acids)
pH and aqueous chemistry
Protein folding
Structure and function of proteins
Protein binding
Protein purification
Sugars and Polysaccharides
Lipids and membranes
Enzymatic reactions
Enzymatic catalysis
Substrate specificity
Reaction Kinetics
Inhibitors
Signal transduction
Metabolism
Thermodynamics of biomolecular bonds
Glycolysis
Glycogen metabolism
Citric Acid Cycle
Oxidative phosphorylation
Photosynthesis
Lipid, amino acid, and nucleotide metabolism
Hormone signaling
Molecular genetics
DNA structure
DNA replication and repair
Transcription
Translation
Chromosome structure and organization
Bacterial gene expression (operons)
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Mechanical Engineering (Back to Top)
ME Basics
Unit systems
Engineering drawing practice
Ethics
Economic analysis
Fluids
Compressible fluid dynamics
Fluid properties
Fluid statics
Fluid flow parameters
Fluid dynamics
Hydraulics
Fluid power
Fans and ductwork
Thermodynamics
Inorganic chemistry
Fuels and combustion
Energy, work and power
Thermodynamic properties of substances
Changes in thermodynamic properties
Power Cycles
Vapor power equipment
Vapor power cycles
Combustion power cycles
Power-generating systems
Gas compression cycles
Refrigeration cycles
Heat Transfer
Modes of heat transfer
Units and parameters of heat transfer
Conduction
Convection
Radiation
Natural convection, evaporation, and
condensation
HVAC
Psychometrics
Ventilation
Heating and cooling loads
AC Systems and controls
Statics
Beams
Trusses
Cables and pulleys
Materials
Engineering materials
Material properties and testing
Thermal treatment of metals
Properties of areas
Strength of materials
Failure
Machine Design
Types of columns
Types of beams
Types of tanks
Types of connections and joints
Compression and tension of members
Springs
Gears
Bearings
Dynamics and Vibrations
Kinematics
Dynamics
Mechanisms and power transmission
Vibrating systems (mass, spring, damper)
Control Systems
Modeling systems
Feedback
Steady state analysis
Transient analysis
Plant Design
Plant management
Instrumentation and measurements
Manufacturing processes
Transient
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Anatomy & Physiology (Back to Top)
Anatomical Terminology
Anatomical Regions, Cavities, Planes of Symmetry, and Directional Terms
General Chemistry
Protons, Neutrons, Electrons, Atoms, Elements, and Compounds
Bonding: Ionic, Covalent, and Hydrogen
pH scale, Acids and Bases, Organic and Inorganic Compounds
Macromolecules: Carbohydrates, Lipids, Proteins, and Nucleic Acids
Cellular Biology
Light and Electron Microscope Images and Uses
Cell Structure: Cell Membrane, Cytoplasm, Nucleus
Organelle Structure and Function
Protein Synthesis
Metabolism and Homeostasis
Mitosis and Meiosis
Histology
Structure, Function, Location, and Subtypes of Epithelial, Connective, Muscular, and Nervous Tissue
Embryology
Ectoderm, Mesoderm, and Endoderm and their derivatives
Organ Systems
Integumentary
o Functions of the Integument
o Layers composing the epidermis and dermis
o Nutrient and Oxygen Supply to the epidermis and dermis
o Subcutaneous layer
o Accessory Organ Structure and Function: Hair, Nails, and Glands
o Basic Knowledge skin cancer types and prognoses
Skeletal
o Functions of the Skeletal System
o Structure and Function of Cartilage
o Bone Markings, Shapes, Matrix, Structures, and Names
o Bone Cells Structure and Function: Osteocyte, Osteoclast, and Osteoblast
o Differentiate between Compact & Spongy Bone
o Differentiate between Endochondral and Intramembranous Ossification
o Differentiate between Axial and Appendicular Skeleton
o Basic knowledge of bone fractures and osteoporosis
o Supporting Ligaments and discs
o Types of Joints and their locations
Muscular
o Functions of the Muscular System
o Types and Locations of Muscular Tissue
o Muscle Cell Structure and Function
o Sliding Filament Theory & Excitation Contraction Coupling
o Sources of Energy for Muscle
o Role of Exercise and Muscle Function
o Knowledge of Names and Locations of muscles
Digestive
o Structure and Function of Esophagus, Stomach, Small Intestines, Colon, Liver, Gall Bladder, Appendix
and Rectum
o Mechanical Digestion, Chemical Digestion
o Absorption and transport of nutrients
o pH balance and enzymatic function
o Hormone regulation of digestive function and appetite
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o Extrinsic and Intrinsic Nervous function
o Digestive Disease
o Normal Flora of the gut
Nervous
o Functions and Divisions of the Nervous System
o Structure and Function of Neurons and Neuroglia
o Generation and Propagation of an action potential
o Synapses, Neurotransmitters, and Myelination
o Brain Structure, Divisions, and Functions
o Spinal Cord and Peripheral Nerve Structure and Function
o Special Senses: Olfaction, Taste, Vision, Hearing, and Balance
o Structure and Function of the Autonomic Nervous System
Endocrine
o Second Messenger Pathways
o Steroid production and function
o Role of Hypothalamus
o Structure & Function of Pituitary, Thyroid, Parathyroid, Adrenal, Pancreas, testes, Ovaries, and Pineal
Glands
o Hormones produced and their function
Cardiovascular
o Functions and Composition of Blood
o Clotting Cascade
o Blood typing and diagnostic tests
o Structure and Function of the heart
o Electrical Activity of the Heart
o Cardiac Cycle
o Cardiac Output
o Knowledge of Arteries and Veins that supply the body
o Immunity & Lymphatic
o Innate and Adaptive Immunity
o Types and Functions of Immune Cells
o Immunological Surveillance and Tolerance
o Acquired Immunity
o Structure and Function of Lymph Nodes, Spleen, Lymphoid Tissue, and Peyer's Patches
o Lymphatic Circulation
Respiratory
o Functions of the Respiratory System
o Anatomy and Histology of the Respiratory Tract and Lungs
o Properties of Ventilation and Pulmonary Function Tests
o Oxygen and Carbon Dioxide exchange and circulation
Urinary
o Structure and Function of the Kidney
o Glomerular Filtration and Tubular Section & Reabsorption
o Renin-Angiotensin Aldosterone Pathway
o Function of Vasopressin (ADH) and Atrial Natriuretic Peptide
o Structure and Function of the Ureter, Bladder, and Urethra
Reproductive
o Meiosis and Gamete Production
o Structure and Function of the Male & Female Reproductive System
o Fertilization and Pregnancy
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Health Administration (Back to Top)
Governance, Organizational Structure, and
Management
Organizational structures
Total quality management
Responsibility, authority, and
accountability
Developing, implementing, and
updating strategic plans
Accreditation, regulatory, licensing, and
certification programs
Management principles
Promoting organizational effectiveness
Leadership strategies
Strategic change management
Creating a safe and healthy work
environment
Quality and Performance Improvement
Quality assessment programs and
procedures
Regulation in health care organizations
Continuous quality improvement
Cost-quality paradigm
Work Hours Per Unit of Service
(WHPUOS)
Data-based decision making
Physician engagement and quality
Law, Ethics, and Professionalism
Government regulations and laws in the
healthcare environment
Healthcare law versus healthcare ethics
Health insurance regulations
Application of moral, ethical, and legal
principles
Root cause analysis
Protecting patient rights
Patient safety
Behavioral health regulations
Human Resources
Assessing personnel needs
Recruitment, selection, compensation,
and training
Personnel evaluation and discipline
Turnover, satisfaction and burnout
Healthcare Finance, Technology, and
Information Management
Financial tools, processes, and
techniques
Developing a master budget
Revenue cycle and reimbursement
Financial considerations (e.g. admitting
and registration, case
management/denials, credit and
collections)
Management and clinical information
systems
Legal and ethical issues with electronic
health records
Health information exchanges
Healthcare
Future trends in healthcare
Role, structure, and funding of various
health care organizations, community
health services, and public health
Patient relations
Patient satisfaction driving change
The relationship between patient
satisfaction and reimbursement
Measuring and improving patient
satisfaction
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Advanced Nursing (Back to Top)
Nursing Medical Surgical Fundamentals
Tutors must be knowledgeable about the
fundamentals of nursing including nursing roles,
settings, health care trends, all body systems and
their disorders, emergency and disaster
management, and mental health nursing. In
particular, tutors should be familiar with nursing
care in all of the following areas:
Role of the medical-surgical nurse
Nursing practice and interventions
Health and nursing assessments
Diagnostic testing and evaluation
Care of clients in the following areas:
o Pain Management
o Altered fluid electrolyte or acid-base
balance
o Trauma and shock
o Pre- and post surgery
o Infections
o Altered immunity
o Cancer
o Loss, grief and death
o Problems with substance abuse
Maternal-Child Health (OB)
Pediatrics
Psychiatric Nursing
Nursing Care Plans
Tutors must be familiar with all aspects of the
creation of nursing care plans including:
Assessment
Nursing diagnosis
Outcomes and Interventions
Creating the Nursing Care Plan
Documentation
Implementation of the Nursing Care Plan
Evaluation of the Nursing Care Plan
Nursing Pathophysiology:
Tutors must be knowledgeable of the following
systems and associated disorders:
Cardiovascular system
Circulatory system
Renal system
Respiratory system
Nervous system
Gastrointestinal system
Endocrine system
Reproductive system
Musculoskeletal system
Nursing Pathophysiology (Cont'd)
Integumentary system
Cell and body tissue physiology
Fluid and electrolyte balances
Genetic and hereditary disorders
Inflammation, infection and immune
response systems
Oncological diseases
Otolaryngology
Ophthalmology
Nursing Pharmacology
Nursing process in drug therapy
Pharmacologic principles
Principles and practices of administration
of medication
Drug calculations
Dosage calculations
Legal and ethical requirements in drug
therapy
Life span of pharmaceuticals
Gene therapy and pharmacogenetics
Medication error response and prevention
Essential knowledge of the following drug
types:
o Analgesic drugs
o General and local anesthetics
o Depressants and muscle relaxants
o Stimulants and related drugs
o Antiepileptic drugs
o Psychotherapeutic drugs
o Antiparkinsonian drugs
o Adrenergic drugs
o Cholinergic drugs
o Heart failure drugs
o Antidysrhythmic drugs
o Antianginal drugs
o Antihypertensive drugs
o Diuretic drugs
o Coagulation modifier drugs
o Antilipemic drugs
o Pituitary drugs
o Thyroid and antithyroid drugs
o Adrenal drugs
o Women’s health drugs
o Men’s Health drugs
o Antihistamines, decongestants
and antitussives
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o Bronchodilators and other
respiratory drugs
o Antibiotics
o Antiviral drugs
Nursing Pharmacology (Cont'd)
o Antitubercular drugs
o Antifungal drugs
o Antimalarial, antiprotozoal,
anthelmintic drugs
o Anti-inflammatory and antigout
drugs
o Immunosuppressants
o Immunizing drugs
o Antineoplastic drugs
o Biologic response drugs
o Acid controlling drugs
o Bowel disorder drugs
o Antiemetic and antinausea drugs
o Anemia drugs
o Dermatologic drugs
o Ophthalmic and otic drugs
o Hormones that regulate calcium
and bone metabolism
o Drugs used in oncologic disorders
o OTC drugs, herbal and dietary
supplements
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Basic Nursing (Back to Top)
Systems and Associated Disorders
Cardiovascular and circulatory
Endocrine
Excretory
Gastrointestinal
Immune
Integumentary
Musculoskeletal
Nervous and sensory
Reproductive
Respiratory
Health Assessments
Communication with patients and family
Diagnostic testing and evaluation
Physical and developmental assessments
Health Promotion
Health promotion for pediatric patients
Health promotion for the families of
pediatric patients
Influences of family on child health
promotion
Influences of socioeconomics, culture, and
religion on child health promotion
Nursing Care
Chronic illness
Cognitive and sensory impairment
Community-based nursing care
Disability
End-of-life care
Family-centered care
Interventions
Behavioral
Community
Family
Health System
Physiological
Safety
Professional Performance
Advocacy
Ethics
Evidence-based practice and research
Law and regulation
Fundamentals of nursing
Nursing roles, settings, and health care
trends
Systems and associated disorders seen in all
stages of childhood (newborn, infant, toddler,
preschooler, school-age, and adolescent)
Cardiovascular system
Circulatory system
Excretory system
Respiratory system
Nervous system
Gastrointestinal system
Endocrine system
Reproductive system
Musculoskeletal system
Integumentary system
Immune system
Otolaryngology
Ophthalmology
Nursing care as it applies to pediatric patients
Communication with the patient and
family
Pediatric nursing skills
Physical and developmental assessments
Diagnostic testing and evaluation
Health promotion for patients in all stages
of childhood (newborn, infant, toddler,
preschooler, school-age, and adolescent)
and their families
Family, social, cultural, and religious
influences on child health promotion
Community-based nursing care
Family-centered care at home and during
hospitalization
Care of the child and family in the
following
contexts:
Chronic illness
Disability
Cognitive and sensory impairment
End-of-life care
Pediatric variations of standard nursing
practices and interventions
Pain assessment and management
Altered fluid electrolyte or acid-base
balance
Medication administration
Trauma and shock
Pre- and post-surgery
Infections
Altered immunity
Cancer
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Mental Health & Psychiatric Nursing (Back to Top)
Abuse and Neglect
Types of Violence
Assessment and Physical Exam
Nursing Interventions
Eating Disorders
Types of Eating Disorders
Risk Factors and Assessment
Symptoms and Behaviors
Diagnosis
Treatments
Personality Disorders
Types of Personality Disorders
Risk Factors
Assessment
Symptoms
Treatment
Neurocognitive Disorders
Types of Neurocognitive Disorders
Risk Factors
Nursing Interventions
Depressive Disorders
Types of Depressive Disorders
Contributing Factors
Treatment
Psychotic Disorders
Types of Psychotic Disorders
Contributing Factors
Treatment
Therapies
Modeling
Operant Conditioning
Systematic Desensitization
Aversion Therapy
Natural Therapies (meditation, relaxation,
deep breathing)
Suicide
Risk Factors
Assessment
Treatment
Substance Use and Addictive Disorders
Substance Abuse Defined
Substance Assessment
Dependency
Withdrawal
Common Abusive Substances
Treatment
Psychopharmacological Therapies
Medications for Anxiety
Medication for Depressive Disorders
Medication for Bipolar Disorder
Medications for Psychotic Disorders
Medications for Substance Abuse
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Nutrition & Dietetics (Back to Top)
Overview of Human Nutrition
Nutritional sources biochemistry
Metabolism of food types
Nutrition through the ages effect on
longevity
Nutritional needs over a lifespan
Professional Nutrition Management
Dietetics and Nutritional Counseling
Adult education principles in practice
Nutrition in Disease Management
Nutrition for Athletics
FDA, USDA and Non-Profit Agencies
Professional Development as a Nutritionist
Foodbank management
Dietetics and Nutrition for Healthy Lifestyles
Principles of Nutrition for Health
Nutrition concerns before and during
pregnancy
Dietetics to support breast feeding
Nutritional needs birth to year one
Nutritional requirements year one to year 10
Designing nutritional programs for Jr. High
students
Great nutrition for High School students
Creating Nutritional guidelines for Adults
Teaching Adults nutrition choices for health
Supermarket shopping/teaching nutrition
Cultural Dietetics and Nutrition
Diet differences around the world
Teaching nutrition for various
cultures
Food Alternatives & Upcycled Foods
Meal planning for Healthcare,
cultural considerations
Holistic Nutrition
The Lymphatic Drainage System
The Lungs
The Digestive System
The Liver
The Skin
The Skeletal System
The Muscular System
The Cardiovascular System
Kidneys and Bladder
Hormones
Nervous System
Mental Health & Eating Disorders
Anorexia nervosa
Bulimia nervosa
Binge Eating Disorder
Avoidant-restrictive food intake
Disorder
Purging Disorder
Pica
Rumination Disorder
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Medical Coding & Billing (Back to Top)
Anesthesia
Medicine
Endocrine system
Nervous system
Urinary system
Integumentary system
Pathology
Laboratory
Hemic and lymphatic system
Practice management
Medical terminology
Radiology
Musculoskeletal system
Digestive system
Evaluation and management
Respiratory system
Mediastinum and diaphragm
Male/female genital system
Maternity and delivery
Eye and ocular adnexa
-International Classification of Diseases, Tenth Revision, Clinical Modification (currently ICD-10-CM)
-International Classification of Diseases, Tenth Revision, Procedure Coding System
(currently ICD-10-PCS)
-Current Procedural Terminology (CPT)
-Healthcare Common Procedure Coding Systems (HCPCS)
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Art History and Appreciation (Back to Top)
Art Historical Periods
Prehistory
Ancient Near Eastern/Mesopotamia
Ancient Egyptian
Classical - Crete/Greece/Etruria/Rome
Late Antique/Medieval (Europe)
Byzantium/Islam
Pre-Columbian/South American/North
American
African Art and Architecture
Art of Asia and Oceania
Renaissance/Baroque/Rococo
19th Century
20th Century
Global Modern/Contemporary (since 1950 CE)
Formal Elements and Principles of Design
Composition
Color
Texture
Value
Line
Shape/Form
Balance
Emphasis
Unity/Variety
Scale/Proportion
Rhythm
Time/Motion
Artistic Devices
Chiaroscuro
Tenebrism
Linear Perspective
Composite view/twisted perspective
Hierarchy of scale
Calligraphy
Trompe l’oeil
Foreshortening
Impasto
Plein-air painting
Memento mori
Artistic Media
Drawing
Painting (tempera/oil/watercolor/fresco)
Collage
Sculpture
Mosaic
Photography
Textile arts
Ceramics
Printmaking
Installation
Video/Film/Digital
Earthworks
Artistic Movements
Impressionism
Post-Impressionism
Abstraction/Expressionism
Realism
Neo-Classicism/Romanticism
Cubism
Pop Art
Surrealism/Dada
Performance art
Theoretical Approaches
Feminist
Psychoanalysis
Modernism/Post-modernism
Queer theory
Hermeneutics
Archaeology of Knowledge
Reader-response theory
Marxist
Formalism/Semiotics
Post-Colonial
Structuralism/Post-structuralism
Deconstruction
Art Terms
Sublime
Miniature
Portrait
Decorative arts
Academy/Salon
Aesthetics
Narrative
Still-life
Avant-garde
Genre painting
Iconography
Landscape
Symbol
Naturalism
Vanishing point
History painting
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English (Back to Top)
Elementary (Grades 4-6)
Adjectives
Adverbs
Antonyms
Compare/Contrast
Connotation
Contractions
Cross-Curricular
Reading/Writing
Denotation
Extract ideas from a variety
of texts
Fiction
Grammar
Graphemes
Letter Writing
Literary Analysis
Literary Device
Literary Themes
Non-Fiction
Nouns
Paragraphs
Parts of Speech
Phonemes
Plays and Theater
Poetry
Point of View
Prefix/Suffix
Presentations
Pronouns
Punctuation and
Capitalization
Reading Comprehension
Research Skills
Root Words
Sentence Structure
Synonyms
Verbs
Vocabulary
Writing Sentences
Middle Grades (Grades 7-8)
Characterization
Connotation
Content Area Literacy
Contextual Analysis
Denotation
Elements of a Story
Grammar
Interdisciplinary Subjects
Interpreting Graphs in Text
Literary Analysis
Literary Criticism
Literary Devices
Literary Themes
Modes of Persuasion
Narrative
Non-Fiction
Oral Communication
Plays and Theater
Point of View
Prose and Poetry
Punctuation and
Capitalization
Reading Comprehension
Research Skills - Sources
and Documentation
Sentence Structure
Subject Area Themes
Theme
Vocabulary
High School (Grades 9-12)
Argument
Copyright
Exposition
Expression through writing
and presenting
Figures of Speech
Functional Texts
Grammar
Literary Analysis
Literary Criticism
Literary Devices
Literary Periods
Literary Themes
Logical Development of
Ideas
Multimedia
Communication
Oral Communication
Organizational Features of
Text
Persuasion
Plays and Theater
Point of View
Presenting Media
Prose and Poetry
Punctuation and
Capitalization
Reading Comprehension
Research Skills
Sources and
Documentation
(APA/MLA/Chicago/Turabia
n)
Viewing Media
Visual Communication
Vocabulary
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Literature (Back to Top)
Literary Periods and Movements
Medieval Literature
Renaissance Literature
The Enlightenment
Romanticism
Transcendentalism
Victorian Literature
Realism
Naturalism
Modernism
Post Modernism
Existentialism
Post-Colonial Literature
Literary Criticism
Formalism
Historical Criticism and New Historicism
Feminist and Gender Criticism
Psychological/Sociological Criticism
Reader Response Criticism
Structuralism/ Deconstruction
Mythological Criticism
Marxist Criticism
Prose Nonfiction
Essay
Biography
Creative Nonfiction
Dramatic Elements/Genres
Drama: Tragedy / Comedy / Tragicomedy / Heroic
Classical Drama
Medieval Mystery/Miracle Plays
Renaissance Theater
Comedy of Manners/Farce/Satire
World Drama Traditions
Prose Fiction
Short stories
Novellas
Novels
World Fiction Traditions
Poetry
Epic
Elegy
Ballad
Lyric
Sonnet Italian / English
Prosody: Rhyme / Meter
/ Rhythm / Stanza
World Poetry Traditions
Literary Elements
Character Types /
Development
Plot Structure
Theme
Narrative Point of View:
First, Second, Third
Person
Setting: Geographic,
Historical, Socio-
Economic
Versification
Literary Devices
Symbolism/ Metaphor/
Simile
Hyperbole and
Synecdoche
Allegory
Irony: Verbal / Dramatic
Figurative Language:
Imagery
Mimesis/ Metonymy
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Essay Writing (Back to Top)
Types of Writing
Literary Analysis
Personal Essays
Compare/Contrast Essays
Explanatory Essays
College Application Essays
Creative Writing
Letters, Memos, and Emails
Thesis Statements
Argument/Persuasion
Descriptive
Expository
Narrative
Idea Development
Synthesis of Ideas
Supporting Ideas with Evidence
Expanding Ideas
Showing Instead of Telling
Essay Structure
5-Paragraph Essays
Topic Sentences
Body Paragraph Structure
Transitions
Introductions
Conclusions
Source Documentation
Academic Integrity
Using Sources Effectively
MLA Format
APA Format
Grammar/Mechanics
Grammar
Punctuation
Spelling
Academic Tone
Avoiding Wordiness & Redundancy
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College English (Back to Top)
Grammar
Parts of Speech
Sentence Structure
Ending Strategies
Consistent Tense
Subject-Verb Agreement
Noun-Pronoun Agreement
Mechanics and Usage
Punctuation
Spelling
Capitalization
Homophones
Comma-splices
Run-ons
Incomplete Sentences
Reading
Evaluating Sources
Summary/Paraphrase
Analyzing Texts
Literary Devices
Source Documentation
APA (American Psychological Association)
MLA (Modern Language Association)
Chicago/Turabian
Style
Varied Sentence Structure
Qualifiers
Positive Form
Concrete Language
Concise Writing
Tone
Formality
Word Choice
Clarity
Academic Expression
Point of View
Bias
Active vs. Passive Voice
Vocabulary
Synonyms/Antonyms
Academic Word Choice
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College Essay Writing (Back to Top)
NOTE: Tutors wishing to tutor College Essay Writing are expected to be familiar with all concepts on this
list in addition to the College English list.
Reading
Literary Devices
Comprehension
Summary/Paraphrase
Source Documentation
APA/MLA/Turabian-Chicago
Evaluating Sources
Integrating Sources
Modes of Persuasion
Logical Fallacies
Argument Types (Toulmin, Rogerian, Classical/Aristotelian)
Writing Process
Prewriting Strategies
Thesis Statement
Organizational Structure
Grammar and Mechanics
Writing Purpose
Analysis
Narrative
Persuasive
Work-Related
Speech Writing
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Doctoral Writing (Back to Top)
Proofreading
Spelling, punctuation, capitalization
Copy Editing
Grammar
Syntax
Consistency of terms
Formatting
Reference page
Citations
Headings
Auditing references and citations
Table of Contents
Headers and footers
Appendix, tables, and figures
Spacing
Pagination
Scholarly Writing
Concise language
Sentence structure
Transitions between paragraphs
Organization of thoughts and sections
Flow
Academic Tone
Argument
Clarity of ideas
Non-biased, logical argument
Alignment of argument throughout the manuscript
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Primary (K-2) Reading (Back to Top)
Vocabulary & Word Recognition
Phonemic awareness
Root words and affixes
High-frequency words
Syllabication patterns
Context clues
Comprehension
Main idea and supporting details
Central message, lesson, or moral
Making predictions
Questioning
Text Structure
Setting
Characterization
Plot
Compare and contrast
Order and sequence
Author's Craft
Point of view
Author and illustrator role
Illustrations' relationship to the text
Author's purpose
Recognizing Text
Fiction
Non-fiction
Poetry
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Midlevel (7-8) ELA (Back to Top)
Vocabulary Application
Figurative language
Connotative language
Vocabulary in isolation
Vocabulary in context
Comprehension
Analyzing
Synthesizing
Making inferences and interpretations
Identifying biases
Citing textual evidence
Evaluating claims
Text Structure
Plot development
Order and sequence
Compare and contrast
Cause and effect
Poetry and drama structure
Author's Craft
Theme
Central ideas
Point of view
Tone and mood
Literary devices
Understanding Genres
Poetry
Drama
Fictional narrative
Informational texts
Non-fiction
Film vs audio vs text
Writing
Research
Narrative
Informative/Explanatory
Argument
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Elementary (3-6) ELA (Back to Top)
Vocabulary Acquisition
Context clues
Root words and affixes
Figures of speech
Phonemic Awareness
Consulting dictionaries and thesauruses
Comprehension
Analyzing
Synthesizing
Making predictions and inferences
Summarizing
Main idea and supporting details
Text Structure
Compare and contrast
Characterization
Setting
Plot
Cause and effect
Problem/Solution
Order and sequence
Author's Craft
Theme
Point of view
Tone and mood
Author's purpose
Literary devices
Understanding Genres
Poetry
Drama
Fictional narrative
Informational texts
Non-fiction
Writing
Research
Narrative
Informative/Explanatory
Argument
Opinion
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Primary ELL (Back to Top)
Use of English
Articles
Comparisons and Superlatives
Conditionals
Contractions
Countable and uncountable nouns
Determiners
Indirect speech
Participial adjectives
Passive and active voice
Passive causatives
Phrase usage
Prepositions
Pronouns
Relative clauses
Tag questions
Time expressions
Uses of gerunds and infinitives
Using dictionaries
Verbs
Vocabulary
Word form
Writing
Conventions of standard written English
syntax
Linking words and text organizers
Essay structure and development
Parallel structure
Research skills
Spelling
Stages of the writing process
Speaking
Daily communication
Differences between English pronunciation
and spelling
Idioms
Presentations
Phonemic awareness
Listening
Identifying main ideas vs. details
Listening comprehension strategies
Processing contextual audio
Visual organizers
Reading
Analysis of figurative language
Concepts of print
High-frequency sight words
Reading comprehension strategies
Phonics as used in Primary ELL
Rhyme
Segmenting
Visual organizers
Pedagogy of ELL
Concept of communicative competence
Differences among languages
Error correction strategies
Literacy learning strategies
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ELL (Back to Top)
Grammar and mechanics
Capitalization rules
Determiners
Direct and indirect speech
Grammatical moods
Modifier placement
Noun-pronoun agreement
Parts of speech (types and usage)
Punctuation rules
Sentence diagraming
Sentence structure variations
Sentence types
Spelling
Subject-verb agreement
Building vocabulary
Academic vocabulary
Cognates
Contextual vocabulary activities
Conversational (social) vocabulary
Homonyms, homophones, and homographs
Idioms
Inferring word meaning through context
Root words and affixes
Semantic mapping/graphic organizers
Synonyms vs antonyms
Using a dictionary
Reading comprehension
Analysis of figurative language
Comparing and contrasting
Distinguishing between fact and opinion
Drawing conclusions
Evaluating sources
Identifying main ideas vs details
Inferring meaning through context
Note-taking while reading
Predicting content/previewing
Sequencing
Summarizing
Types of text (key components)
Using visual organizers (story maps, diagrams, etc.)
Listening Comprehension
Identifying language signposts while listening
Inferring word meaning through context while
listening
Listening for gist/main idea vs details
Note-taking while listening
Processing academic lectures, presentations, etc.
Reviewing vocabulary/content concepts in
preparation
Using visual organizers
Writing
Academic writing style
Active vs passive voice
Citing Sources (MLA, APA, Chicago/Turabian)
Combining sentences: subordination and
coordination
Conciseness vs wordiness
Consistency in point of view
Consistency in verb tense, mood, voice
Creating cohesive paragraphs
Essay structure and development
Formal and informal writing
Parallel structure in sentences
Paraphrasing, summarizing, quoting
Research skills
Run-ons, comma splices, sentence fragments
Transitional words and phrases
Types of essays
Speaking
Conversational and academic English
Pronunciation and speaking practice strategies
Speeches and oral presentations
Strategies to overcome speaking anxiety
Pedagogy
Knowledge of stages of proficiency for ELL
students
Listening and responding to student feedback
Using sheltered instruction strategies
Speaking slowly and increasing wait time for
responses
Using culturally responsive approaches
Using effective language modeling
Using multiple modalities to increase
understanding
Using scaffolding techniques
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Symbolic Logic (Back to Top)
Inferences and Arguments (Premises and
Conclusions)
Recognition of argument
Validity
Soundness
Contingency
Factual Statements
Invalidity
Form versus Content
Statements and Propositions
Deductive versus inductive logic
Sentential logic
Terms, predicates, variables, and pronouns
Compound formals
Necessary versus sufficient conditions
Statement connectives
Truth-functional derivations
Categorical Propositions
Components of a Categorical Proposition
Venn diagrams and the square of opposition
Aristotelian versus Boolean logic
Categorical Syllogisms
Standard form, mood, and figure
Venn diagrams applied to syllogisms
Rules
Fallacies of Relevance
Fallacies of Ambiguity
Propositional Logic
Symbols and translation
Truth functions
Truth tables
Tautology, contradiction, contingency, and
replacement
Complex truth-functional formals
If statements versus Only if statements
Symbolizing the statement form
Natural deduction in propositional logic
Rules of implication and replacement
Proving logical truths
Predicate Logic
Symbols and translation
Change of Quantifier
Relational and Overlapping Quantifiers
Translations in monadic predicate logic
Translations in polyadic predicate logic
Complex predicates
Wide-scope quantifiers
Derivations in predicate logic
Symbolizing the statement form
Logic Truth Trees
Propositional Logic
Predicate Logic
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Introduction to Criminal Justice (Back to Top)
Ethical Issues in Justice and Security
Criminological Theory
Information Technology
Policy Issues
Physical and Personal Protection
Response Planning and Crisis Management
Weapons and Personal Protective Equipment
Management of Criminal Justice Organizations
Victimology
Critical Incident Planning and Preparedness
Governmental Regulation of Policing Policies
Forensic Science
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Introduction to Ethics (Back to Top)
Normative Ethical Theories
Egoism
Consequentialism
Deontological Ethics
Obligatory and Super obligatory Actions
Hedonism
Stoic Ethics
Pragmatic Ethics
Virtue Ethics
Existentialism/Radical Freedom
Feminist Ethics
Metaethics
Moral Realism and Anti-Realism
Naturalism and Non-Naturalism
Cognitivism and Non-Cognitivism
Objectivism and Subjectivism
Divine Command Theory (Theological
Voluntarism)
Error Theory
Is-Ought Gap
Moral Relativism
Applied Ethics
Bioethics
Business Ethics
Animal Ethics
Religious Ethics
Political Ethics
Sexual Ethics
Environmental Ethics
Social Justice
Key Ethical Terms
Autonomy
Free Will and Determinism
Sympathy and Empathy
Good and Evil
Happiness
Pleasure and Pain
Normative
Justice
Key Ethical Thought Experiments
Trolley Problem
Veil of Ignorance
Utility Monster
Experience Machine
Violinist
Ring of Gyges
Drowning Child
Organ Transplant
Key Ethical Philosophers
Plato
Aristotle
Thomas Aquinas
Immanuel Kant
John Stuart Mill
Peter Singer
Derek Parfit
John Rawls
Robert Nozick
Philippa Foot
Judith Butler
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Introduction to Philosophy (Back to Top)
Ancient Philosophy
Greek (Thales, Pythagoras, Zeno of Elea, Skeptics, Socrates, Plato, Aristotle)
Hellenistic Philosophy (Epicurus, Stoicism)
Philosophy & religion (Saint Augustine, Thomas Aquinas, Anselm of Canterbury)
Early Modern Philosophy
The Renaissance (Humanism, Machiavelli, Hobbes)
Descartes (Doubt & Existence, Mind & Body)
Locke (Origin of ideas, British Moralists)
Hume (Empiricism, Scientific Methods, Skepticism)
Recent Modern Philosophy
The Enlightenment
Kant (Ethics, Philosophy of Mind, Moral Philosophy)
Idealism (Transcendental Ego, Objective Reality)
Utilitarianism (John Stuart Mill, Women's Rights, Individual Liberty)
Contemporary Philosophy
Phenomenology
Existentialism (Kierkegaard, Nietzsche)
Pragmatism (Charles Sanders Pierce, William James, John Dewey)
Post Modernism
Ludwig Wittgenstein (Analysis of Language)
Eastern Philosophy
Buddha
Daoism
Confucius
Branches and Foundations in Philosophy
Metaphysics (Ontology, Mind, Spirit)
Epistemology (Agnotology, Alethiology, Truth, Belief, Validity)
Axiology (Value Theory)
Ethics
Aesthetics
Logic & Reasoning (Critical thinking, Deductive, Inductive, Syllogism, Formal, Informal)
Applied Philosophy (Law, Education, Math, Religion, Science, Engineering)
Metatheory
Schools & Traditions
Social Philosophy (Feminism, Politics, Language)
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Introduction to Psychology (Back to Top)
History and Research
Approaches/schools of psychology
Research approaches
Ethics in research, clinical and applied
psychology
Biopsychology
Physiological research techniques
Nervous system functional organization
Neurons, electrical and chemical signaling
Neuroanatomy
Endocrine system
Animal models in psychology, evolution
Genetics
Neuroplasticity
Sensation and Perception
Sensory systems & receptors
Attention
Perceptual processes
Psychophysical mechanisms
Consciousness
Sleep and dreaming
Sleep and dreaming
Meditation
Psychoactive drugs and consciousness
Conditioning and Learning
Biological (neural) basis for learning
Classical conditioning
Operant conditioning
Observational learning
Cognitive processes in learning
Constructivism
Social learning, Implicit learning
Cognition
Memory
Language
Thinking
Problem solving
Intelligence
Motivation, emotion
Biological basis
Social motivation
Theories of emotion
Stress
Developmental
Types of development
Gender, sex, and sexuality
Heredity and environment
Lifespan: prenatal through geriatric
Developmental research methods
Personality
Assessment: measuring personality
Theories of personality
Self-concept and self-esteem
Psychological disorders
Defining “normality” and “abnormality”
Anxiety disorders
Dissociative disorders
Mood disorders
Neurocognitive disorders
Personality disorders
Psychoses
Somatoform disorders
Health, stress, coping
Treatment
Psychological therapies
Medical therapies, psychopharmacology
Community psychology
Social psychology
Aggression & antisocial behavior
Attitudes, attitude change
Attribution processes
Conformity, compliance & obedience
Group dynamics
Interpersonal perception
Cultural influences
Statistics, tests, measurement
Descriptive & inferential statistics
(definitions)
Measurement, operational definitions
Reliability and validity
Samples, populations, standardization &
norms
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Cultural Anthropology (Back to Top)
Cultural Anthropology
Subdisciplines of Anthropology
Culture
Method and Theory
Applied Anthropology
Language and Art
Communication and Language
Art and Media
Ethnicity, Gender and Religion
Race and Ethnicity
Gender and Sexuality
Religion
Politics and Economics
Subsistence
Political Arrangements
Kinship and Marriage
Kinship
Marriage
Global Perspective
Colonialism and Global Systems
Trade
Ecology
Current Issues
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Political Science (Back to Top)
American Politics
Structure of Federal and Local
Governments
Civil Rights and Liberties
Political Behavior and Culture
Communication and Political
Strategies
Homeland Security
Current Political Issues
Institutions
Comparative Politics
The Modern State
Identity
Regimes and Governing
Institutions
Participation and Representation
Political Economy
Conflicts and Violence
Intercultural Awareness
International Relations
Realist Theories
Liberal and Social Theories
Globalization and Global
Citizenship
Violence, Terrorism and
Counter-Terrorism
International Organizations and
Law
Foreign Policy
International Security and
Military Strategies
Geopolitics and Human
Geography
Methodology in Political Science
Research Design
Research Ethics
Qualitative Method
Quantitative Method
Statistical Inference
Data Collection and
Interpretation
Political Thoughts
The Meaning of Politics
Freedom and Social Contract
Power, War and Conflicts
Justice and Law
Individual v. Collective Rights
Political Culture and Behavior
Public Policy
Contexts of Public Policy
Economic Issues
Environmental Policies
Criminal Justice
Morality and the Role of
Religion
Social Policies
Defense Policies Subdisciplines
of Anthropology
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Research Methods (Back to Top)
Scientific Method
Cause and effect
Research hypotheses
Testability
Developing research ideas
Defining and using constructs
Theories, models, and hypotheses
Pilot research
Literature searches
Conducting a literature search
Evaluating quality of sources
Peer review
Reading journal articles
Research ethics
Belmont report
Deception
Institutional Review Boards and human-
subjects research
Animal Care and Use Committees and
non-human subjects
Bias
Experimenter bias
Participant bias
Research and Culture
Sampling
Populations and samples
Probability sampling methods
Nonprobability sampling
Sampling Error
Validity and Reliability
Internal validity
External validity
Threats to validity
Measurement
Inter-rater reliability
Non-Experimental & Quasi-Experimental
Research
Correlational studies
Pre-Post, time-series, and longitudinal
designs
Quasi-independent variables
Ex Post Facto research
Survey construction and administration
Likert scale questions
Tests, Inventories, and self-report
Qualitative research
Naturalistic observation
Case study
Focus groups
Coding and categorizing
Small-N and single-subject designs
Phases and phase changes
Reversal designs
Multiple baseline designs
Evaluating single-subject research
Quantitative research and Experimental Design
Independent variables
Dependent variables and measurement
choices
Control
Counterbalancing
Extraneous variables
Confounding variables
Group selection
One factor, two or more groups
Factorial designs
Interaction
Sample size and power
Evaluating Research
Hypothesis testing
Appropriate statistical tests for
experimental design
Interpreting statistical results
Effect size
Drawing conclusions
Generalizability
Causality
Tutors should be familiar with parametric and nonparametric hypothesis tests included in the
College Statistics subject.
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Introduction to Sociology (Back to Top)
History and Theory
Purpose of Sociology
Sociological Imagination
Structural Functionalism
Conflict Theory
Symbolic Interactionism
Social Exchange Theory
Ethnomethodology
Individual and Society
Social Context of Time, Place, and Location
Macro- and Micro- Approaches
Theories of Self
Socialization and the Self
Looking Glass
"I" and "Me"
Dramaturgy
Status
Role Conflict, Strain, Performance, and
Expectation
Emotions
Culture and Society
Norms, Customs, Traditions, Values, Symbols,
and Language
Ethnocentrism
Cultural Relativism
Group Behavior
Power
Authority
Leadership
Social Class
Class Systems
Inequality
Income and Wealth
Subcultures
Labor Market
Division of Labor
Economic Systems
Privilege and Oppression
Social Mobility
Deviance and Social Control
Deviance
Labelling
Misdemeanor and Felony
Group Dynamics
Criminal Justice, Punishment
Social Control
Stigma
Race/Ethnicity
Common Culture
Shared Experience
Divisions
Race/Ethnicity (Cont'd)
Inequalities
Dominant Group
Minority Group(s)
Discrimination, Prejudice, Racism
Homogeneity and Heterogeneity
Gender/Sex
Biological Traits
Gender Norms
Gender Orders
Masculinity/Femininity
Personal Identity
Feminism
Heterosexism
Sexuality
Sexual Attraction
Relationship with Sex and Gender
Non-binary sexuality
Sexual Harassment
Homophobia
Social Institutions and the Family
Education
Schooling and Social Class
Types of Families
Nuclear/Extended
Types of Marriage
Religion
Protestant Work Ethic
Religious Organization - Denominations, Cult,
Church, Sect
Types of Politics
Capitalism, Socialism, and Communism
Demography
Deindustrialization
Migration
Health
Morbidity and Mortality
Social Change
Social Change and Dilemmas
Threat to Social Order
Group Reluctance
Social Change and Movements
Research Methods
Qualitative Methods
Quantitative Methods
Mixed Methods
Independent and Dependent Variables
Mean/Median/Mode
Sample
Hypothesis
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Introductory Accounting (Back to Top)
Financial Reporting and Accounting Cycle
Accrual vs. cash accounting
Worksheets and t-accounts
Adjusting Entries
Financial Statement Preparation (including
direct/indirect statement of cash flows)
Closing Entries
Accounting for Service and Merchandising
Companies
Journal Entries
Multi-step income statements
Perpetual vs. periodic
LIFO, FIFO, & weighted average
Accounting for uncollectible accounts
(allowance method vs. direct write off
method)
Internal Controls & Cash
Bank reconciliations
Petty cash
Accounting for Property, Plant, and
Equipment
Entries for PPE purchases
Entries for PPE sales/disposal
Depreciation (straight-line, double-
declining-balance, units-of-production)
Accounting for Partnerships
Forming a partnership
Income allocation
Partner admission/withdrawal
Partnership liquidation
Accounting for Corporations
Entries for stock
Entries for dividends
Stock splits
Financial ratio analysis
Treasury stock
Accounting for Investments
Accounting for investments in stocks
(purchase, sale, equity method, fair value
method, etc.)
Accounting for investments in bonds
Bonds Payable
Accounting for bonds
TVM Analysis for bonds
Amortization & amortization tables
Payroll and Taxes
Accounting for taxes
Accounting for payroll
Managerial Accounting
Job order costing
Process costing
Activity-based costing
Cost-volume-profit analysis
Variable vs. absorption costing
Budgets
Planning, control, and performance evaluation
Differential analysis
Capital investment decisions
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Intermediate Accounting (Back to Top)
Accounting Cycle, Financial Statements, & Conceptual
Framework
Accrual vs. Cash
Adjusting Entries
Extraordinary Items
Financial Statement Presentation/Disclosures
Conceptual Framework
Statement of Cash Flows
Indirect Method
Direct Method
Investing and Financing Cash Flows
Time Value of Money
PV and FV of Lump Sump
PV and FV of Annuities
Deferred Annuities
Revenue Recognition Issues
Revenue Recognition Criteria
Revenue from Long Term Contracts
Revenue from Installment Sales
Revenue from Multi-Component Sales
Revenue, Receivables, and Cash Cycle
Sales Adjustments (discounts, returns, allowances)
Notes Receivable
Sale of Receivables
Cash and Cash Equivalents
Estimating Uncollectible Receivables and Net
Realizable Value
Inventory and Cost of Goods Sold
Perpetual vs. Periodic Inventory Systems
Inventory Valuation Methods
Lower of Cost or Market
Special Issues: In Transit, Consignment, Purchase
Adjustments
Noncurrent Operating Assets
Establishing Asset Cost
Valuation of Assets/Impairment
Depreciation and Amortization Methods
Retirement, Sale, or Exchange of Assets
Debt
Bond Pricing
Bond Issues and Retirements
Equity
Issuance of Capital Stock
Treasury Stock Transactions
Cash and Stock Dividends
Accounting for Share-Based
Compensation
Investment in Debt and Equity
Securities
Classification of Investment
Securities
Revenue Recognition from
Investment Securities
Accounting for Change in Value
of Securities
Sale of Securities
Leases
Lease Classification Criteria
Accounting for Capital Leases
Accounting for Operating Leases
Income Taxes
Calculating Deferred Assets and
Liabilities
Carryback and Carryforward of
Operating Losses
EPS & Advanced Statement Analysis
Basic or Diluted EPS
Comparative ratio interpretation
Special Issues: Pensions,
Contingencies, Errors, Accounting
Changes
Pensions
Contingencies
Changes in Accounting Principle
Changes in Accounting Estimate
Error Corrections
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Cost Accounting (Back to Top)
Activity Based Costing
Budgetary Planning and Control
Cost & Revenue concepts
Cost-Volume-Profit
Inventory Valuation
Job Order Costing
Manufacturing inventories
Motivating Employees to Perform
Process Costing
Ratio Analysis
Transfer Pricing
Working Capital Management
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Managerial Accounting (Back to Top)
Budgetary Planning and Control
Capital Budgeting
Capital Structure
Cost-Volume-Profit
Incremental Analysis
Job Order Costing
Manufacturing inventories
Motivating Employees to Perform
Process Costing
Product costs v. period costs
Ratio Analysis
Transfer Pricing
Working Capital Management
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Tax Accounting (Back to Top)
1120
Business Income and Deductions
Compensation
Corporate Formation, Reorganization, and Liquidation
Corporate Operations
Corporation: Nonliquidating Distributions
Dispositions of Partnership Interests
Entities Overview
Forming and Operating Non-Profits
Forming and Operating Partnerships
Income and Exclusions
Individual Deductions
Individual Income Tax
Individual Income Tax Computation and Tax Credits
Intro to Tax
Investments
Property Acquisition and Cost Recovery
Property Dispositions
Retirement Savings and Deferred Compensation
S Corporations
State and Local Taxes
Tax Compliance
Tax Consequences of Home Ownership
Tax Planning
Transfer Taxes and Wealth Planning
U.S. Taxation of Multinational Transactions
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Auditing (Back to Top)
Audit Reports
Types of Audit Reports and Audit Opinions
Components of an Audit Report
Quality Control Standards
Elements of a System of Quality Control
Acceptance and Continuance of Client Relationships
Evaluating and Communicating Deficiencies
Documentation of the system of internal control
Audit Risk and Analytical Procedures
Materiality and Risk
Audit Risk Model
Internal Control and Control Risk
Inherent Risk
Planned Detection Risk
Analytical Review Techniques
Professional Ethics and Legal Liability
Auditor selection, compensation and termination
Auditor vs Client responsibility for auditing statements
Rights and Responsibilities of Auditors
Audit Evidence
Types of Audit Evidence
Procedures for Obtaining Evidence
Sources of Substantive Audit Evidence
Fraud
Types of Fraud
Assessing the Risk of Fraud
Responsibilities When Fraud is Suspected
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Introductory Economics (Back to Top)
Intro Microeconomics
Basic Supply and Demand (Algebra-Based)
The Demand Curve and Quantity Demanded
The Supply Curve and Quantity Supplied
Equilibrium and Market Demand
Shortages, Surpluses, and Subsidies
Taxes, Regulations, Price Controls, Price
Ceilings,
o and Price Floors
Consumer Surplus and Producer Surplus
Deadweight Loss
Income Effect and Substitution Effect
Production Possibilities Frontier (Algebra-Based)
Opportunity Cost
Comparative Advantage and Absolute
Advantage
Gains and Losses from Trade
Marginal Rate of Substitution
Consumer Theory (Algebra-Based)
Price Elasticity of Demand
Cross-Price Elasticity
Price Elasticity of Supply
Consumer Utility and Marginal Utility
Monopoly and Oligopoly Behavior (Algebra-Based)
Monopoly Structure and Power
Monopoly Price Determination and Monopoly
Marginal Revenue
Monopoly Deadweight Loss and Inefficiency
Price Discrimination
Monopolistic Competition
Economies of Scale
Oligopoly Structure and Power
Cartels, Cheating, and Breakdown of Cartels
Perfect Competition and Managerial Economics
(Algebra-Based)
Profit Maximization
Short-Run Costs and Lost-Run Costs
Marginal Cost, Average Cost, Fixed Costs,
Variable
Costs, and Total Cost
Marginal Profit, Average Profit, and Total Profit
Industry Supply and Demand Curves
Uncertainty and Sunk Costs
Game Theory
Nash Equilibrium
Prisoners’ Dilemma
Application to Oligopoly and Competition
Behavioral Economics
Market Efficiency, Market Inefficiency, and
Market
Failure
Positive Externalities, Negative Externalities,
and
Solutions for Externalities
Behavioral Economics (Cont'd)
Adverse Selection and Moral Hazard
Public Goods and Private Goods
The Tragedy of the Commons and the Coase
Theorem
Introduction to the Labor Market
Supply of and Demand for Labor
Marginal Product of Labor
Types of Wages
Tournament Theory
Intro Macroeconomics
National Economic Models and Growth Theories
Classical and Neoclassical Economic Models
Keynesian and New Keynesian Economic
Models
Business Cycles and Shocks to Aggregate
Demand
Classical Growth Models
Solow-Swan Growth Model
National Accounts, Price Indices, and the Circular
Flow of Expenditures
Gross Domestic Product and Gross Domestic
Income
Gross National Product and Gross National
Income
GDP Cycles, Real GDP, and Nominal GDP
Economic Growth and Loss
GDP Deflator
Consumer Price Indices
CPI Deflator
National Investment and Savings
Marginal Propensity to Consume
Marginal Propensity to Save
The Multipliers
National Labor Market and Labor Force
Participation
Supply of and Demand for Labor
National Labor Market Equilibrium
Causes and Types of Unemployment
Labor Force Participation Rates
Full Employment Output
Fiscal Policy, Taxation, and Federal Spending
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Income Taxes and Corporate Income Taxes
Balanced Budgets and Government Debt
Transfer Payments and Federal Spending
Insurance and Welfare
Monetary Policy and National Banking
Fractional Reserve Banking System and
Reserve
Ratios
The Power, Functions, and Tools of the Federal
Reserve
Monetary Policy and National Banking (Cont’d)
Levels of the Money Supply
Positive and Negative Shocks to the Money
Supply
Inflation and Quantity Theory of Money
Types and Causes of Inflation
The Phillips Curve
Quantity Theory of Money
Introduction to Savings, Investment, and
Finance
The Market for Loanable Funds
Supply of and Demand for Money
The Role of Intermediaries and Types of
Investments
Stocks, Bonds, and Returns on Investment
Simple and Compound Interest
Economic Ethics and Public Policy
Cultural Goods, Paternalism, and Exploitation
Fair and Equal Treatment
Economic Ethics and Public Policy (Cont’d)
Immigration and Meddlesome Preferences
Poverty, Inequality, and Distribution of Income
Special Interest Groups
Political Economy
Democracy, Growth, and Famine
Median Voter Theorem
Rational Ignorance and Voter Myopia
Political Business Cycles
International Economics
Balance of Payments
Imports, Exports, and Trade Balance Behavior
Tariffs and Protectionism
Types of Exchange Rates
Currency Speculation
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Intermediate Macroeconomics (Back to Top)
Capital, Investment, and Market for Loanable Funds*
Changes in and Factors of Capital Stock: Tobin’s Q
Cost of Capital and the Demand for Investment
The Market for Loanable Funds
Keynesian Cross
Marginal Product of Capital
Types of Interest Rates
National Consumption and National Savings*
Budget Constraints and Consumption Functions
Income Shocks and Intertemporal Choice
Measuring National Savings
The Marginal Propensity to Consume, the Marginal
Propensity to Consume, and the Multipliers
National Economic Models and Growth Theories*
Classical and Neoclassical Economic Models
Savings and Investment Economic Models
Consumption and Savings Economic Models
Keynesian and New Keynesian Economic Models
Business Cycles
Fischer Economic Models
Stylized Facts
Classical Growth Models
Endogenous Growth Model
Solow-Swan Growth Model
Endowment and Production Economies
Production Economy Model and Production
Economy Problems
Effects of Change in Production Economies
Production Equilibrium
Endowment Economy Model and Endowment
Economy Problems
Endowment Equilibrium
Fiscal Policy and Government Debt
Balanced Budgets, Tax Smoothing, Stabilization
Policies
Government Deficits and Government Spending
Government Transfer and Taxation Policies
Traditional View of Government Debt
Ricardian Debt and Ricardian Equivalence Theorem
National Accounts, Price Indices, and the Circular Flow
of Expenditures
Gross Domestic Product/Gross Domestic Income
Gross National Product/Gross National Income
GDP Cycles, Real GDP, and Nominal GDP
Economic Growth and Loss
GDP Deflator
Consumer Price Indices
CPI Deflator
National Labor Market and Labor Force Participation
Supply of and Demand for Labor
National Labor Market Equilibrium
Causes and Types of Unemployment
Labor Force Participation Rates
Full Employment Output
Labor/Leisure Choice
Productivity Shocks
Reservation Wages and Wage Determination
Aggregate Supply and Demand*
The AS-AD Model
Aggregate Demand and Long Run Aggregate
Supply
Shifting Aggregate Demand and Aggregate Supply
and the AS-AD Equilibrium
The IS-LM Model
Shifting the IS-LM Curves and the IS-LM
Equilibrium
Inflation, Quantity Theory of Money, and Theory of
Liquidity
Causes and Types of Inflation
Inflation and Unemployment: The Phillips Curve
Quantity Theory of Money
Velocity of Money
Levels of the Money Supply
Positive and Negative Shocks to the Money Supply
Theory of Liquidity
Monetary Policy and National Banking
National Banking Systems, Tools, Federal Reserve
The Role and Structure of Intermediaries
The Fisher Effect and the Laffer Curve
The Supply of and Demand for Money
Money Neutrality, Money Non-Neutrality, and
Monetary Equilibrium
Rational and Irrational Expectations
Welfare Improving Stabilization Policy
Currency Printing and Seigniorage
Ex Ante Outcomes, Ex Post Outcomes, Multiple
Equilibria, and Animal Spirits
International Economics
Imports, Exports, and Trade Policies
Trade Balance Behavior
Foreign Exchange Markets/Foreign Exchange Rates
Currency Speculation and Signal Watching
Balance of Payments
Income Equality and Inequality: The Gini
Coefficient
and Autarky
Poverty and Distribution of Income
Immigration, Exploitation, and Paternalism
*Calculus-based
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Intermediate Microeconomics (Back to Top)
Consumer Theory (Calculus-Based)
Budget Constraints and Consumer Surplus
Consumer Choice and Demand
Consumer Preferences and Utility
Insurance, Lotteries, and Risk Aversion
Compensating Variation and The Slutsky Equation
Price Elasticity
Game Theory
Nash Equilibrium, Mixed Strategies, and Dominant
Strategies
Sequential Games and Subgame Perfection
Bayesian Equilibrium and Signaling\Separating
Equilibrium
Adverse Selection
Threats, Commitments, and Credibility
Behavioral Economics
Asymmetric and Incomplete Market Information
Positive Externalities, Negative Externalities, and
Market Failures
Solutions for Negative Externalities and Markets
for
Positive Externalities
Moral Hazard and the Principal-Agent Problem
Warranties, Quality, Uncertainty, and Signaling
Risks, Risk Preferences, and the Demand for Risky
Assets
Public, Private, and Network Goods
Tragedy of the Commons and the Coase Theorem
Monopoly and Monopsony (Calculus-Based)
Monopoly Structure and Power
Monopoly Marginal Revenue and Monopoly Profit
Maximization
Price Discrimination
Social Costs of Market Power
Monopoly Advertising and Building
Monopsony Structure and Power
Tariffs, Price Ceilings, and Price Floors
Monopolistic Competition and Oligopoly (Calculus-
Based)
Market for Factor Inputs
Structure and Power of Monopolistic Competition
Oligopoly Structure and Power: Cournot and
Stackelberg Models
Price Competition
Prisoner’s Dilemma and Price Setting
Cartels and Breakdown of Cartels
Theory of the Firm and Managerial Economics
(Calculus-Based)
Cost Minimization and the Cost Function
Profit Maximization and the Profit Function
Consumption Duality
Long-Run Costs and Short-Run Costs
Long-Run Supply and Short-Run Supply
The Shutdown Condition
Economies of Scope and Economies of Scale
Technology, Inputs, and Outputs
Marginal Product of Capital
Labor Market (Calculus-Based)
Supply of and Demand for Labor
Managerial Wage Determination and Minimum
Wage
Total Labor and Marginal Product of Labor
Labor Market Efficiency Wage Theory
Labor Unions
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Finance (Back to Top)
Role and objective of financial management
Review of the four basic financial statements
Analysis of financial statements and financial performance
Financial ratio analysis
Financial Institutions
Valuation Methods and Models (cash flow valuation; capital budgeting and risk analysis)
Time Value of Money
Single cash flow and annuity valuation
Using Excel for TVM
Advanced TVM word problems
Financial Choices of Firms
Dividend Policy
Managing current assets/working capital
Raising capital and financing decisions
The Financial Environment
Interest rates
Risk and rates of return
Bonds and their valuation
Stocks and their valuation
Cost of capital
Capital budgeting, including cash flow estimation, decision criteria, and risk analysis
Capital structure and leverage
Financial planning, budgeting, and forecasting
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Principles of Management (Back to Top)
History and Theories of Management
Scientific Management
Organizational Developments
Sociotechnical Theory
Hierarchy of Needs
Five disciplines of the Learning Organization
The Role of Customer Relations
Building customer relationships
Promotions, Pricing & Credit
Environmentalism (burdens and potentials)
Psychological & Sociological influences
Professional Management & Managing Growth
Managing Human Resources
Managing Operations
Managing Risk
Leadership & Authority
Time management
Entrepreneurial Opportunities
Small Businesses Concepts
Ethics in Business
Integrity framework
Supporting Organizational Culture
Business Analysis
SWOT
Internal & External (outside-in analysis &
inside-out analysis)
The Business Plan
Function of and
formatting plan
Main types of plans
Employee Relations &
Leadership
Roles in motivation
Specifying structure and
creating balance
Legal forms of Organizations
Sole proprietorship,
partnerships, C Corp, LLC,
etc.
Financial Planning
Income statement
Balance sheet
Cash Flow statement
Financial forecasting
Debt & Equity
Product & Supply Chain
Management
Product lifecycle
Branding, labeling,
strategies
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Business & Consumer Math (Back to Top)
Business Statistics
Data Interpretation
Graphs and Charts
Measures of Central Tendency
Consumer Credit
Credit
Depreciation
Loans and Mortgages
Equations
Formulas
Solving Equations
Writing Equations
Investing
Bank Accounts
Interest
Present and Future Value
Stocks, Bonds, and Mutual Funds
Numbers
Decimals
Fractions
Whole Numbers and Integers
Probability
Ratios and Proportions
Real Number System
Payroll
Deductions
Gross Pay
Taxes
Percent
Converting
Discounts
Markups and Markdowns
Problem Solving
Sales Terms
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Business Law (Back to Top)
Foundations of Law
Criminal vs. Civil Law
Substantive vs. Procedural Law
Sources of Law
Administrative Law & Regulation
Consumer Protection Laws
Anti-Trust Regulations
Unfair Trade Practices
Employment Law & Labor Relations
Professional Liability and Accountability
Environmental Law
Dispute Settlement
Means of Dispute Settlement
State and Federal Court Organization
Alternative Dispute Resolution
Court Procedure
Criminal Concerns
Intentional Torts
Liability
Contracts & E-Contracts
Elements of Contracts
Offer & Acceptance (Agreement)
Consideration
Form and Meaning
Capacity
Consent, Mistakes, Fraud, Undue influence
& Duress
Statute of Frauds & Writing Requirement
Third Party Rights
Performance and Discharge
Breach & Remedies
Sales & Lease Contract Formation
Uniform Commercial Code (UCC)
Title
Risk
Insurable Interest
Performance, Breach and Remedies
Warranties & Limitations
Products Liability
Agency and Employment
Agency Formation and Duties
Agency Rights and Remedies
Agency Liability and Termination
Employment at Will
Employment Discrimination
Employment & Immigration
Business Organization
Partnerships
Hybrid Business Forms
Corporations Formation
Management of Corporations
Property
Personal Property vs. Real Property
Landlord-Tenant Relationships
Zoning & Government Regulations
Estates and Trusts
Insurance Terms, Concepts & Types
Intellectual Property
Commercial Paper
Negotiable Instruments Definition
Transferability & Holder in Due Course
Liability of Parties
Checks and Electronic Fund Transfers
E-money & Online Banking
Creditor Rights
Creditor Rights and Remedies
Debtor Protections
Surety & Guarantees
Bankruptcy Concepts
Mortgage and Foreclosure
Introductory Legal Research and Writing
Effective Legal Research Strategies
Researching Cases, Statutes, and
Regulations
Legal Databases and Governmental Codes
Organizing Legal Research Notes
Summarizing Case Law
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Marketing (Back to Top)
Marketing Strategy Fundamentals
Establishing SMART marketing objectives, strategies, and tactics
Identifying target markets
Understanding the marketing mix or Four Ps
Conducting situation and competitor analysis
Navigating B2B, B2C, and non-profit marketing
Product or Service Development
Designing a product or service concept and prototype
Formulating brand positioning
Calculating development costs and projecting sales
Preparing a launch strategy
Market Research and Data Analysis
Writing research proposals
Planning the research design
Conducting research through focus groups, surveys, and interviews
Analyzing and Interpreting data
Reporting on research findings
Consumer Behavior
Understanding consumer decision making process
Examining consumer information searches
Exploring subcultures influencing consumer behavior
Distinguishing between planned versus impulse purchases
Defining brand equity, perception, and reputation
Public Relations and Communications
Composing ethical marketing policies
Determining social responsibility strategies and campaigns
Pitching compelling stories for the media
Designing a crisis communication plan
Recognizing owned, earned and paid media methods
Measuring and evaluating public relations results
Supply Chain and Distribution Logistics
Creating supply chain management processes
Implementing a customer service management system
Negotiating for suppliers, vendors, and intermediaries
Estimating and fulfilling orders
Planning warehousing and distribution logistics
Creative Strategy, Advertising, and New Media
Writing a creative brief
Formulating promotional strategies via traditional
Constructing digital marketing and social media strategies
Developing interactive and mobile marketing strategies
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MS Access (Back to Top)
Proficiency with Access 2010 required, preferably older and newer versions as well. English version required.
Database Relations and Development
Database Terminology
Primary and Secondary Keys - Creating
Relationships
Enforcing Referential Integrity in Key
Relationships
Creating a Database
Creating a Database from a Template
Tables
Types of Tables within a DB
Creating Tables
Creating Linked Tables
Changing Tables
Entering New Data
Adding Descriptions
Indexing a field
Data Validation
Hiding Fields
Validating and Managing Records within a
Table - Adding and Updating
Queries
Using Queries within a Database
Running a Query
Creating a Simple Query
Creating a Crosstab Query
Creating a Parameter Query
Operators and Expressions in a Query
Creating an Aggregate Query
Create an Action Query
Create a Multiple Table Query
Saving Queries
Forms
Using Forms within a Database
Creating a Blank Form
Creating a Form from a Template
Saving Forms
Adding and Moving Form Controls
Managing Labels
Adding Sub-Forms
Working with Data on Forms
Modifying Print Settings
Inserting backgrounds, headers, and footers
Reports and Reporting Tools
Creating a New Report
Creating a Report Based on a Query
Creating a Report Using a Wizard
Selecting Summary options
Group and Sort Report Fields
Report Text Box Controls
Modify Data Sources
Inserting headers, footers, and applying
themes
Formatting Reports
Macros
Using Macros
Understanding Security
Creating a Macro
Sub Macros
Handling Macro Errors
Importing/Exporting
Creating a DB by importing
Importing Data into Tables
Exporting Data
Data Analysis
Transforming Data
Calculations and Dates
Parametrized Queries
Entering SQL
Subqueries and Aggregation
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MS Excel (Back to Top)
Note: Proficiency with Excel 2010 required, preferably older and newer versions as well. English version
required.
Environment & Capabilities
File Tab
Excel Options including finding and customizing
Templates including finding and implementing
Add-Ins including finding and installing
Toolbars
Ribbon including identification, usage, customization, etc.
Quick Access Toolbar including identification, usage, customization, etc.
Custom Tabs including creation and arrangement of custom tabs, custom groups, etc.
Formula Bar and Name Box
Spreadsheet Basics
Rows and Columns
Ranges including selecting, naming, finding, using named ranges, etc.
Views including page layout, page break, custom, etc.
Entering Data
Printing
Worksheet Management including inserting, deleting, hiding, unhiding, moving, copying, etc.
Panes and Page Breaks
Headers and Footers inserting, using templates, customizing, etc.
Keyboard Shortcuts
Formatting
Formatting Cells, Worksheets, Workbooks
Format Painter
Paste Special
Conditional Formatting including built-in styles and formula-based styles
Filtering & Sorting
Filters including implementing, using, customizing, etc.
Sorting including basic and custom sorts
Formulas & Functions
Entering Formulas including basic formula syntax, etc.
Using Functions including commonly used functions, using function helper, etc.
Evaluating Formulas and Function Results including tracing formulas/precedents, error checking, etc.
Interpreting and Troubleshooting Formulas and Functions
Calculation Operations including manual vs. automatic
Charts, Tables, & PivotTables
Creating, Using, and Formatting Charts
Creating, Using, and Formatting Tables
Creating, Using, and Formatting
PivotTables
Smart Art and Illustrations
Sparklines
Importing & Exporting
Importing and Exporting Data/Documents
Importing and Exporting Pictures
Picture Editing
Macros
Recording Macros
Running Macros
Saving, Sharing & Protecting
Auto-Save including default settings and
customizing
Recovery
File Types (e.g., .xls, .xlsx, .xlsm, etc.)
Sharing and Protecting Worksheets and
Workbooks
Evaluating Changes in Shared Documents
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MS Word (Back to Top)
Note: Proficiency with Word 2010 required, preferably older and newer versions as well. English version
required.
Program Fundamentals
Giving Commands in Word
Using Command Shortcuts
Creating, Opening, Previewing, Printing, Saving, and Closing a Document
Using Help
Getting Started with Documents
Entering, Deleting, Selecting, and Replacing Text
Navigating, Browsing, and Viewing a Document
Working with the Document Window and Viewing Multiple Document Windows
Working With and Editing Text
Checking Spelling and Grammar
Finding and Replacing Text
Using Word Count and the Thesaurus
Inserting Symbols and Special Characters
Copying and Moving Text
Collecting Multiple Items to Move or Copy
Using Undo, Redo, and Repeat
Formatting Characters and Paragraphs
Changing Font Type, Size, Color, Highlighting, Styles, and Effects
Applying Spacing and Ligatures
Creating Lists
Changing Paragraph Alignment, Paragraph Spacing, and Line Spacing
Adding Paragraph Borders and Shading
Copying Formatting
Setting, Adjusting, and Removing Tab Stops
Using Left and Right Indents, and First Line and Hanging Indents
Formatting the Page
Adjusting Margins, Page Orientation, and Size
Using Columns, Page Breaks, Section Breaks, Line Numbers, and Hyphenations
Working with the Page Background
Rearranging, Numbering, and Viewing an Outline
Rearranging and Navigating Long Documents
Using Headers, Footers, Bookmarks, Cross-references, Footnotes, Endnotes, Citations, and Bibliographies
Working with Picture Captions
Adding a Table of Contents, Index, Cover Page, and Page Numbers
Working with Themes and Styles
Creating, Modifying, Applying, and Deleting a Style
Working with the Styles Gallery
Creating a New Quick Style Set
Selecting, Removing, and Printing Styles
Comparing and Cleaning Up Styles
Applying Document Themes
Creating and Saving New Theme Colors and Fonts
Working with Shapes and Pictures
Inserting and Formatting Clip Art, Screenshots, Pictures, Text Boxes, Shapes, and Graphics Files
Removing a Picture’s Background
Formatting and Otherwise Altering the Look of Pictures and Graphics
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Resizing, Moving, Copying, Positioning, Grouping, and Deleting Objects
Applying Special Effects
Aligning, Distributing, Flipping, Rotating, and Layering Objects
Working with WordArt, SmartArt, and Charts
Inserting, Editing, and Formatting WordArt
Inserting and Formatting SmartArt
Working with SmartArt Elements
Inserting, Editing, and Formatting a Chart
Working with Labels
Using Chart Templates
Working with Tables
Creating, Resizing, Moving, and Manipulating a Table
Adjusting Table Alignment and Text Wrapping
Working with Cell Formatting
Merging and Splitting Cells and Tables
Inserting and Deleting Rows and Columns
Adjusting Row Height and Column Width
Using Table Drawing Tools
Working with Sorting and Formulas
Working with Borders and Shading
Using Table Styles and Table Style Options
Converting or Deleting a Table
Using Quick Tables
Working with Mailings
Setting Up the Main Document for Mail
Merge
Creating and Editing a Data Source
Selecting an Existing Data Source
Inserting Merge and Rules Fields
Previewing and Completing a Mail Merge
Creating Labels and Envelopes
Using Collaborative Editing Tools
Tracking, Accepting, and Rejecting
Revisions
Using Comments
Comparing and Combining Documents
Protecting a Document (with or without
password)
Working with Templates
Creating and using a Document Template
Creating and Using Building Blocks and
AutoText
Attaching a Different Template to a
Document
Copying Styles between Documents and
Templates
Working with Forms
Creating a New Form
Adding Content Controls
Assigning Help to Form Content Controls
Preparing the Form for Distribution
Filling Out a Form
Customizing Word
Customizing the Ribbon and Quick Access
Toolbar
Using and Customizing AutoCorrect
Changing Word’s Default Options
More Topics
Converting an Older Document to Word
2010
Translating Text
Publishing a Blog Entry
Using Hyperlinks
Viewing Document Properties and Finding
a File
Recovering Your Documents
Managing Versions
Recording, Playing, and Deleting a Macro
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MS PowerPoint (Back to Top)
Note: Proficiency with PowerPoint 2010 required, preferably older and newer versions as well. English
version required.
Apply and change advanced options
Customizing the ribbon
Customizing the quick access toolbar
Creating/using macros
Using different view options
Proofreading options
Creating presenter notes
Setting up a slideshow
Adding animations
Utilizing transitions
Using & creating themes
Inserting charts & graphs
Inserting images
Grouping shapes and pictures
Creating tables
Inserting text options
Using audio & video in presentations
Working with watermarks
Creating and printing handouts
Adding headers & footers
Flowchart creation
Using and creating templates
Using drawing tools
Adding, removing, publishing slides
Creating layouts
Save & send options
Font options
Print options
Properties and Protecting File
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Windows (Back to Top)
Note: Those wanting to tutor MS Windows must be proficient with BOTH the user side of Windows and the
admin side of Windows.
Windows Installation and Setup
Preparing for Installation
Adding/Managing User Accounts
Display Settings & Personalization Options
Power Settings
Privacy / Security Settings
Accessibility Options
File and Folder Operations
Desktop, Start Menu & Taskbar
Navigating with File Explorer
Creating Folders and Saving Files
Move, Copy, Delete, and Rename Files/Folders
Folder Views and Settings
File/Folder Searches
Managing Hard Drives and Storage - Local, Removable, and Cloud
Windows Utilities
Desktop Accessories
Control Panel
Backup and Recovery Tools
Security - Antivirus, Antimalware, and Firewall Tools
Windows Update
Basic Software & Hardware Management
Windows Apps & Microsoft Store
Adding/Removing Programs
Adding/Removing/Managing Printers
Adding/Removing/Managing Bluetooth Devices
Locating and Running Programs
Accessing the Internet
Connecting to a Network - Ethernet & Wi-Fi
Accessing the Internet with Internet Explorer, Microsoft Edge
Email and the Mail app
Searching the Internet/Default Search Engine
Basic Troubleshooting
Viewing System Information
Task Manager - Monitoring System Performance
Windows Troubleshooter
Safe Mode
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Adobe Illustrator (Back to Top)
Program Basics
Workspace
Artboards
Sharing
Working with Layers
Colors
Program Tools
Selection Tools
Drawing Tools
Shape Tools
Typography Tools
Painting Tools
Modifying Tools
Automation
Other Program Features
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Adobe InDesign (Back to Top)
Program Basics
Working with Objects
Drawing Tools
Color Tools
Page Tools
Typography
Using Styles
Other Program Features
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Adobe Photoshop (Back to Top)
Program Basics
Working with Layers
Painting Tools
Coloring Tools
Drawing Tools
Making Selections
Editing Images
Using Shapes
Typography
Animation and Action Panel
Other Program Features
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Web Design (Back to Top)
Internet Fundamentals
Layers of the Internet (application, transport, etc..)
URL
Pathway
FTP and File Management
Protocols (HTTP, HTTPS)
HTML
Basic XML
HTML Structure
Lists
Classes and IDs
Tables
Linking Resources
Special Tags
Div. and Span
Forms
CSS
Selectors
Alignment
Element Position
Padding and Margins
Content Decoration
Variables
Layout
Multiple Browser Support
Fundamental JavaScript
Basic programming concepts (functions, loops, etc..)
DOM
Events
PHP
Variables, including PHP Reserved Variables
Control Structures
Functions
Mixing HTML and PHP
Handling Input (e.g. GET, POST, PUT, DELETE)
REGEX for PHP
php.ini
Accessibility
Web Accessibility Standards
Presentation of content
Operable and understandable user interfaces
Different web browsers and devices like mobile
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Database Systems (Back to Top)
Database Design
Methodology - Conceptual/Logical/Physical
ER Modeling
Advanced ER
Normalization
Security and Administration
Structured Query Language
CRUD Statements
Aggregates
Subqueries
Filtering Query Output
JOINs
Advanced Queries
Designing Advanced queries
Query optimization
Common Table Elements
Constraints
Triggers
Business Intelligence
Designing a client application
Data Warehousing
Reporting
Database Management Systems
SQL Server
Oracle
MySQL
Cloud Computing/Web DBMS
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Principles of CS (Back to Top)
NOTE: Computer Science tutors are expected to be familiar with all concepts on this list in addition to the
language-specific list of the subject(s) they would like to tutor.
Object-Oriented Program Design
Program design
Read and understand a problem description,
purpose, and goals
Apply data abstraction and encapsulation.
Read and understand class specifications and
relationships among the classes (“is-a,” “has-a”
relationships).
Understand and implement a given class
hierarchy.
Identify reusable components from existing code
using classes and class libraries.
Class design
Design and implement a class.
Choose appropriate data representation and
algorithms.
Apply functional decomposition.
Extend a given class using inheritance.
Program Analysis
Testing
Test classes and libraries in isolation.
Identify boundary cases and generate
appropriate test data.
Perform integration testing.
Debugging
Categorize errors: compile-time, run-time, logic.
Identify and correct errors.
Debugging, adding extra output statements,
hand-tracing code.
Understand and modify existing code
Extend existing code using inheritance
Understand error handling
Understand runtime exceptions.
Reason about programs
Pre- and post-conditions
Assertions
Analysis of algorithms
Informal comparisons of running times
Exact calculation of statement execution counts
Basic big-O questions
Numerical representations and limits
Representations of numbers in different bases
Limitations of finite representations (e.g., integer
bounds, imprecision of floating-point
representations, and round-off error)
Program Implementation
Implementation techniques
Methodology
Object-oriented development
Top-down development
Encapsulation and information hiding
Procedural abstraction
Programming constructs
Primitive types vs. objects
Constant declarations, Variable declarations
Class declarations
Interface declarations
Method declarations, Parameter declarations
Console output (System.out.print/println)
Control
Methods
Sequential
Conditional
Iteration
Understand and evaluate recursive methods
Standard Data Structures
Simple data types (int, Boolean, double)
Classes
Lists
Arrays
Sets and Multisets
Stacks
Dictionaries
Queues
Trees, binary trees, and binary search trees
Standard Algorithms
Operations on data structures previously listed
Traversals
Insertions, Deletions
Searching
Sequential
Binary
Bubble Sort, Selection Sort, Insertion Sort
Merge sort
Computing in Context
System reliability
Privacy
Legal issues and intellectual property
Social and ethical ramifications of computer use
Software Methodology
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C++ (Back to Top)
NOTE: Computer Science tutors wishing to tutor C++ are expected to be familiar with all concepts on this
list in addition to the Computer Science Principles list.
Namespaces
Functions
Control Structures
Conditional (if, if else, else, switch statements)
Iteration (for, while, do-while loops)
Break and continue
Input/Output
Standard (iostream)
File I/O (fstream)
Strings
Pointers
Exception Handling
Try/Catch blocks
Throw statement
Arrays
Classes and Structs
Operator Overloading
Parameters
Call by reference vs Call by value
Inheritance
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C (Back to Top)
NOTE: Computer Science tutors wishing to tutor C are expected to be familiar with all concepts on this list
in addition to the Computer Science Principles list.
Syntax and Structures
Variables
Data Types
Arrays (single and multidimensional)
Strings
Operators
Structures (struct)
Control Flow
If/Else Statements
Iterators
Break/Continue
Switch
Goto
Input/Output
Standard I/O
Formatting
Error Handling
Preprocessor
Streams
C Fundamentals
Functions
Standard Library
Data Structures
Pointers
Declaration and Usage
Arrays and Pointers
Pointer to Pointer
Pointers and Functions
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A+ (Back to Top)
COMPTIA A+
Principles and Procedures
Safety and Security
Windows 10
Hardware Overview
Processors
Memory
BIOS
Motherboards
Storage
Power
Operating Systems
OS basics
CLI
Virtualization
Mobile
Troubleshooting OS
File Systems
Users and Groups
Building/Imaging a PC
Custom components
Install or upgrade OS
Patching/SP
Drivers
Migrate data
Peripherals
USB/Thunderbolt
Keyboards
Pointers (Mouse)
KVM
Multimedia
Touch Screens
Smartcard and Biometric
Display
Hard Drives
RAID
Types (SATA,SSD,Magnetic)
Formatting & Partitioning
Removable Storage
Multifunction Devices
Printers
Copier/Scanners
Fax
Installation/Drivers
Troubleshooting
Network
Ethernet
LAN
WAN
Wireless
Internet
Mobile
Network Security
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Java (Back to Top)
NOTE: Computer Science tutors wishing to tutor Java are expected to be familiar with all concepts on this
list in addition to the Computer Science Principles list.
Primitive Data Types
Integers
Floating Point Types
o Characters
o Boolean
Literals
Variables
Variable Scope
Initializing Variables
Operators
Type Casting and Conversion
Control Statements
For loops
While Loops
If-Else Statements
Switch Statements
Classes
Constructors
Class Definitions
Object Instantiation
Methods
Using Parameters
Method Overloading
Returning Values
Arrays
Multidimensional Arrays
Irregular Arrays
Strings
Constructing Strings
Operating on Strings
Bitwise Operators
Static Keyword
File I/O
Inheritance and Polymorphism
Super classes and Subclasses
Abstract Classes
Method Overriding
Packages and Interfaces
Packages and Member Access
Implementing Interfaces
Exception Handling
Using Try-Catch-Finally
The Exception Hierarchy
Enumerations
Generics Fundamentals
Page | 105
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Python (Back to Top)
NOTE: Computer Science tutors wishing to tutor Python are expected to be familiar with all concepts on
this list in addition to the Computer Science Principles list.
Lists
Control Flow and Looping (while/for, use of the range() function instead of traditional for loop)
Tuples (relation to lists, unpacking)
List/Dictionary/Generator comprehensions
"Dunder" methods (__init__, __plus__, etc)
Variadic arguments (*args)
Keyword arguments (**kwargs)
List slices
Generators (yield)
Lambda functions
Dictionaries
Functions (including map, filter, reduce)
Files
Raptor
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Cisco System Administration (Back to Top)
Data Networks
OSI and TCP/IP
Network Devices
Topologies
LAN Switching
Configurations
Troubleshooting
Security
IP Addressing
IPv4
IPv6
Addressing schema
Routing
Configurations
Troubleshooting
Security
Protocols
WAN Technologies
DSL
VPN
Cellular 3G and 4G
ISDN
Page | 107
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Windows Server (Back to Top)
Server Setup and Installation
Prep for Installation
New install/Upgrade to Existing
Selecting Server Hardware
Server Manager
Accessing and starting server manager
Create/Edit groups of servers
View/Change roles, role services, and features
Access Management Tools
Managing Services
Server Status - issues, events, and failures
Manage Remote Computers
Managing Storage
Access storage options/Disk Management
Disk types
RAID options
Network Storage (NAS/SAN)
Disk volumes/partitioning
Mounting/Unmounting
Windows Services
File services, NTFS/Sharing Drives
Installing/Setting up printers
Naming resolution, DNS, Hosts
DHCP
Active Directory
IIS
Virtualization and Cloud
Basic Concepts
Hypervisors
Install Hyper -V
Configure VM
Manage or Modify VM
Azure
Monitor and Troubleshoot
Performance and
Resource Monitor
Server Repair and Boot
Options
Fault Tolerance and
Clustering
Power - UPS, Redundancy
Safe Mode
Windows Server 2019
Storage Migration Service
Containers
Security
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C# (Back to Top)
NOTE: Computer Science tutors wishing to tutor C++ are expected to be familiar with all concepts on this
list in addition to the Computer Science Principles list.
Fundamentals
Namespaces
Directives
LINQ
.NET Framework
Syntax and Structures
Variables
Data Types
Arrays
Operators
Lambda Expressions
Input/Output
File Read/Write
Escape Sequencing
Convert data
Control Structures
Conditional Statements
Iterators
Jump/Break/Continue
Exception Handling
OOP Concepts in C#
Methods
Constructors
Classes
Inheritance
Polymorphism
Interfaces
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Arabic (Back to Top)
NOTE: Voice-approval is required to tutor this subject. You will conduct a Voice test in your Classroom
Introduction and Interview (CII). If you are an existing tutor who does not yet have voice approval, please
contact Tutor Support.
Vocabulary
Greetings and Polite Expressions
Numbers and Time
Common Phrases
Various Common Words
Grammar
Sentence Structure
Verbs and Adverbs
Nouns and Adjectives
Possessive Phrases
Gender and Plurality
Literary Arabic
Arabic Alphabet
Vowels and Consonants
Phonology
Pronunciation
Full Pronunciation
Formal Short
Informal Short
Proper Diction
Types of Arabic
Modern Standard Arabic
Classical Arabic
Regional Dialects
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Spanish (Back to Top)
NOTE: Voice-approval is required to tutor this subject. You will conduct a Voice test in your Classroom
Introduction and Interview (CII). If you are an existing tutor who does not yet have voice approval, please
contact Tutor Support.
Basic Sentence Structure
Gender & Number of Nouns
Definite Articles
Indefinite Articles
Noun-Adjective Agreement
Negation (& Double Negatives)
Contractions Al / Del
Questions and Exclamations
Advanced Sentence Structure
Direct and Indirect Object Pronouns
Relative Pronouns & Adjectives
Possessive Pronouns
Superlatives
Demonstratives
Comparisons of Quantity and Number
The Personal “a”
Por vs. Para
Pero / Sino / Sino Que
Basic Verb Forms
Present Indicative
Stem Changing Verbs
Gustar Type Verbs
Irregular 1st Person Verbs (“go, zco, jo, oy,
eo “verbs)
Present Progressive
Ser vs. Estar
Saber vs. Conocer
Intermediate Verb Forms
Preterit (Definite Past)
Imperfect (Undefined Past)
Reflexive Verbs
Conditional Tense
Future Tense
Irregular Preterit Verbs
Advanced Verb Forms
Subjunctive Tenses & Conditions
Perfect Tenses
Past Participles
Formal Commands
Informal (tú) Commands
Negative Commands
Idiomatic Expressions
Acabar de
Hay / Hay que
Hace… (To indicate time that has passed)
Valer la Pena
Basic Vocabulary Units
Ordinal Numbers
Telling Time
Expressions for Weather
Sports & Recreation
Science & Technology
Animals
Home Decor and Furnishings
Food & Kitchen
School & Office
Family Expressions & Relationships
Clothing
Medical Care & Human Physiology
Feelings & Emotions
Travel (Train & Air)
Customary Greetings & Protocol
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French (Back to Top)
NOTE: Voice-approval is required to tutor this subject. You will conduct a Voice test in your Classroom Introduction and
Interview (CII). If you are an existing tutor who does not yet have voice approval, please contact Tutor Support.
Basic Sentence Structure
Gender & Number of Nouns
Vocabulary (including but not limited to…)
Numbers and time
Greetings, letter writing, speaking on the phone
Food and drink
Marketplace
Clothing
Education and careers
Personal relationships, friends, family
Emotions
Hobbies, sports, leisure, travel
Animals, plants, scenery, weather
Body parts, illnesses, basic medical terms
Residences, rooms, furniture
Government, public institutions, infrastructure, news
French/English faux amis
Common French idioms
Grammar and Style
Verb conjugations, tenses, and moods
Pronouns
Literature (including but not limited to…)
Louise Labé
Jean-Jacques Rousseau
Guy de Maupassant
Paul Verlaine
Jules Verne
Victor Hugo
Albert Camus
Pronunciation and Phonetics
Describe how French vowels and certain French consonants differ from their English counterparts
Identify silent consonants and vowels
Identify and pronounce nasalized vowels
Use liaison and enchaînement to enhance euphony
Describe how stress functions in words and sentences
Describe how pronunciation and stress differ in poetry
French History and Culture
Basic history of France, from Roman Gaul to modern times
Basic geography of France, French territories, and other French-speaking nations
French education system
Present-day government of France
French holidays and customs
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German (Back to Top)
NOTE: Voice-approval is required to tutor this subject. You will conduct a Voice test in your Classroom
Introduction and Interview (CII). If you are an existing tutor who does not yet have voice approval, please
contact Tutor Support.
Adjectives
Adjective Endings
Comparative & Superlative
Definite & Indefinite Articles
Der- & ein-Words
Extended Adjective Modifiers
Present & Past Participles
Adverbs
Expressions of Time
Negation
Conjunctions
Coordinating Conjunctions
Subordinating Conjunctions
Main and Subordinate Clauses
Nouns
Appositives
Case: Nominative, Accusative, Dative, & Genitive
Gender
Prepositions
Accusative, Dative, Genitive, & Two-way
da- & wo-compounds
Idiomatic Use of Prepositions
Pronouns
Personal, Interrogative, Demonstrative, Indefinite, Possessive, Relative, & Reflexive
Punctuation
Comma Rules
Verbs
Conjugation
Imperative
Indirect Discourse & Subjunctive I
Infinitival Constructions (um…zu, (an)statt…zu, ohne…zu)
Modal Verbs
Passive Voice, Statal Passive, Alternatives to Passive
Regular & Irregular Verbs
Subjunctive II
Tense: Present, Present Perfect, Simple Past, Past Perfect, Future & Future Perfect
Verbs with Separable & Inseparable Prefixes
Word Order
Page | 113
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Italian (Back to Top)
NOTE: Voice-approval is required to tutor this subject. You will conduct a Voice test in your Classroom Introduction and
Interview (CII). If you are an existing tutor who does not yet have voice approval, please contact Tutor Support.
Basic Sentence Structure
Italian alphabet, special characteristics
Regular verbs
Greetings
Common salutations
Expressing opinions
Masculine versus feminine nouns
Pronouns
Numbers/currency
Date
Time
Weather/seasons
Action verbs
Direction, travel
Culinary, food
Advances sentence structure
Irregular verbs
Direct pronouns
Indirect-object pronouns
Reflexive verbs
Adjectives
Using prepositions
Imperfect subjunctive
Il congiuntivo trapassato
Il congiuntivo passato
Il congiuntivo futuro
Modal verbs
Articulated prepositions
Double object pronouns
Future perfect
Words with dual meaning
Adverb
Negative statements
Conosce/Sapere
Prepositions
Anatomy/Medical/Dental
Body parts
Symptoms
Study of
Italian lifestyle
Culture
Politics
Current affairs
Business
Professional writing
Culinary, food
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Mandarin (Back to Top)
NOTE: Voice-approval is required to tutor this subject. You will conduct a Voice test in your Classroom
Introduction and Interview (CII). If you are an existing tutor who does not yet have voice approval, please
contact Tutor Support.
Pinyin
Initials and Finals
Four Tones
Chinese Syllables
Vocabulary
Number, Time, Age, Money, Math
Measure Words, Quantifiers
Greetings
Relationships, Family Members
Body Parts, Basic Medical Terms
Animals, Plants, Fruits, Vegetables
Places, Locations, Directions
Transportation and Travel
Food, Restaurant, Dining
Colors and Shapes
Households, Furniture
Media and News
Sports
Emotions and Feelings
Education
Business
Government, Provinces, Cities
Grammar
Pronouns
Verbs
Adjectives
Adverbs
Prepositions
Basic Sentence Structure (Subject-
Verb-Object)
Conjunctions and Connectors
Imperative
Passive
Negation
Questions
Classical Literature
Classical Poetry - Shi form
Classical Poetry - Ci form
Classical Prose
Classical Fiction and Drama
Chinese Culture and Traditions
Politeness and Courtesy
Festivals and Celebrations
Art (Calligraphy, Painting Performing
Art, etc.)
Chinese Food
Religion and Philosophy
(Confucianism, Taoism and Buddhism)
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Vietnamese (back to top)
NOTE: Voice-approval is required to tutor this subject. You will conduct a Voice test in your Classroom Introduction and
Interview (CII). If you are an existing tutor who does not yet have voice approval, please contact Tutor Support.
Literary
Alphabet
Vowels and Consonants
Tones
Vocabulary
Number
Time and Dates
Money
Math
Quantifiers
Family members
Greetings and Polite expressions
Transportation
Places
Animals
Home essentials
Clothes
Colors
Emotions
Food
Weather
Human body
Medical terms
Education
Business
Government
Word play
Common words and Phrases
Parts of Speech
Nouns
Demonstrative noun modifiers
Articles
Classifiers
Numerals
Quantifiers
Focus marker particle
Verbs
Adjectives
Adverbial particles
Prepositions
Grammar
Sentence structure
Word formation
Figures of speech
Passivization
Regional Dialects
Northern
North-Central
Mid-Central
South-Central
Southern
Literature
Folk literature
Medieval literature
Modern literature
Poetry
Culture
Festival and Celebrations
Lifestyle and Customs
Religion and Philosophy
Cuisine
History
Geography
Visual arts
Performing arts
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Elementary Math Methods (Back to Top)
Planning, Teaching and Assessing
Develop a Lesson
Develop Assessments
Evaluate Learning
Mathematical Practices and Processes
Solve Problems using various and appropriate
strategies
Reason abstractly and quantitatively
Construct and evaluate mathematical arguments
Use representations to model with mathematics, such
as counters, linked cubes, a balance and a number line
Use tools strategically
Use precise mathematical language, symbols and units
Find and use patterns to make generalizations
Determine if repeated processes are reasonable
Make connections among mathematical ideas
Number Sense
Classify numbers and use numbers in patterns
Use conservation, group recognition, comparison,
one-to-one correspondence
Develop counting strategies counting on, counting
back or skip counting
Use place value to introduce the base 10 number
system and decimals
Geometry
Draw and identify lines and angles
Classify shapes by properties of their lines and angles
Graph points on the coordinate plane to solve
problems
Reason with shapes and their attributes
Operations, Basic Facts and
Computation
Apply properties of operations
Solve problems involving the four
operations with whole numbers
and fractions
Add and subtract whole numbers
within 20 fluently
Multiply and divide whole
numbers within 100 fluently
Write and interpret numerical
expressions
Use models (such as geometric
shapes and other objects) to order
fractions, understand equivalent
fractions and compute with
fractions
Compare decimal quantities and
convert from fractions
Measurement and Data
Solve problems involving
measurement and estimation
Represent and interpret data
Tell and write time using analog
and digital clocks
Solve problems involving money
Find the perimeter, area and
volume of objects
Convert like measurement units
within a given measurement
system
Measure and sketch angles
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Elementary Reading Methods (Back to Top)
Reading Development
Signs student is ready for reading instruction
Discourse-Oral Language Development
Print/Book Awareness
Listening and Retelling
Phonemic Awareness
Letter Recognition
Letter-Sound Correlations/ Language Development
Instructional Strategies for Reading
Identifying Student's Current Reading Level
Reading Theories
The 5 Components of Reading
Balanced Literacy/ Whole Language/ Phonics
Developing Curriculum
Vocabulary
Creating Activities for Instruction
Fluency
Comprehension strategies
Scaffolding Instruction
Differentiating Instruction
Technology Use
Types of Assessment
Affective Reading assessments
Summative Assessment for the 5 Components of Reading
Formative Assessment for the 5 Components of Reading
Analyzing Student Assessment Data
Diagnosing Reading Issues
Maintaining student records/portfolios
Identifying Students Who May Need Additional Intervention
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General Education (Back to Top)
Active Learning
Collaborative discussion
Independent Learning
Critical Thinking
Creative thinking
Brainstorming
Journaling
Group Work
Focused listening
Formulating Questions
Note-taking
Annotating
Role-playing
Scaffolding
Assessment
Hybrid Learning (Blended Learning)
On-line activities
Project based learning
Peer instruction
Small group discussion
Just-in-time teaching
Flipped learning
Critical Thinking
Deep learning
Concept mapping (mind-mapping)
Goal setting
Considering alternatives
Utilizing past strategies
Time Management
Self-reflection
Activating prior Knowledge
Reviewing
Summarizing
Study skills
Emotional Intelligence
Assertive communication
Conflict resolution
Active listening skills
Promoting positive attitude
Self-awareness
Student engagement strategies
Empathy
Responding to Criticism
Developing Leadership skills
Journaling
Peer Conferences
Teacher-student Conferencing
Self-regulated learning
Organizing and transforming
information
Keeping Records
Rehearsing and memorizing
Environmental awareness
Recognizing Individual learning styles
Goal-setting
Reflective dialogue
Constructive feedback
Abstract Thinking
Link new learning to prior learning
Professional Learning
Self-evaluating
Adapting new strategies to individuals
Accept leadership opportunities
Growth mindset
Learning from failure
Accepting challenge
Process over result
Sense of purpose
Growth over speed
Effort before talent
Learning from others' mistakes
Bias
Test anxiety and performance
Ignore triggers
Cross-group interactions
Positive role models
Managing stress and threat
High standards for all
Personal value affirmation
Positive role models
Community and service learning
Volunteer project learning
Community involvement
Rhetorical communication
Production of discourse
Response to discourse
Effective communication
in the classroom
Problem-solving communication
Curriculum Development
Identifying overarching objectives
Lesson plans
Grading standards
Common core/benchmarks
Rubrics
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Early Childhood Education (Back to Top)
Development Stages (Milestones)
Birth-18 months
18 months-2 Years
3 years-5 years
6 years-8 years
Theorists
Urie Bronfenbrenner
Erik Erikson
Abraham Maslow
Maria Montessori
Jean Piaget
Lev Vygotsky
Reggio Emilia
BF Skinner
Observation and Assessment
Anecdotal Records
Work Samples
Observations
Why is it important?
Diversity in the Classroom
How to Promote Diversity
Curriculum Development
Social/Emotional Development
Cognitive Development
Language/Literacy Development
Math/Scientific Reasoning
Physical Development
Differentiation and Accommodations
Music
Health, Safety and Nutrition
Mandatory Reporter
Safe Sleep Practices
First Aid/CPR
Abusive Head Trauma
Importance of Physical Development
Nutrition
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Intercultural and Global Communication (Back to Top)
Culture & Cross-Cultural Values
What is Culture?
Defining Cross-Cultural
Stereotypes vs. Cultural Values
Communication Styles Reflective of Cultural Values
Hofstede's Cultural Dimensions
Ethics and Cross-Cultural Communication
Cross-Cultural Communication Comparisons
Chinese vs. American Technical Communication
Japanese vs. American Technical Communication
Hispanic/Latino vs. American Technical Comm.
Korean vs. American Technical Communication
Intercultural Communication
Defining Intercultural Communication
Intercultural vs. Cross-Cultural Communication
Challenges in Intercultural and Global Communication
Intercultural Communication Conflicts
Cross-Cultural and Global Communication Barriers
Practical Intercultural & Global Comm. Strategies
Using Interpersonal Skills
Practicing Relationship vs. Deal Focused Comm.
Non-Verbal Communication
Technical Skills
Simplified and Plain English
Digital Communication
Defining Digital Communication
Text Messages
E-mail
Social Networks
Health Communication
Healthcare Professional vs. Patient Understanding
Plain Language
Patient Considerations
Multicultural Communication
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Business and Organizational Communication (Back to Top)
Theoretical/Ideological Influences
Survey of Communication Theories
Leadership Communication Theories
Importance of Effective Professional Communication
Practical Application
Effective Written Communication
Effective Oral Communication
Interpersonal Communication
Conflict Management
Non-verbal Communication
Page | 122
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Public Speaking (Back to Top)
Essentials of Communication
Communication Models
Public Speaking Apprehension
Communication Ethics
Language
Language Characteristics
Language Devices
Intercultural Communication
Culture & Communication
Cultural Identity & Co-Cultures
Interpersonal Communication
Perception
Defining Self, Self-Concept, Self-Esteem
Self-Disclosure
Conflict Management
Nonverbal Communication
Principles of Nonverbal Communication
Functions of Nonverbal Communication
Types of Nonverbal Communication
Audience Analysis
Methods of Audience Analysis
Gathering Audience Information
Speech Organization & Topic Selection
Brainstorming, Concept Maps
Introductions, Conclusions, Connectives
General and Specific Purpose Statements
Narrowing the Topic
Research and Support
Where to Locate Credible Sources
How to Identify Credible Sources
Using Examples, Testimony, and
Statistics
Source Documentation
Speech Delivery
Types of Delivery
Components of a Quality Delivery
Delivery & Practice
Listening
Active Listening Practices
Challenges to Listening
Informative Speaking
Types of Informative Speeches
Effective Use of Research &
Support
Persuasive Speaking
Reasoning
Types of Persuasive Speaking
Persuasive Speech Organizational
Patterns
Emotional Appeals
Rhetorical Appeals
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Journalism (Back to Top)
News Writing/Reporting
Lead
Layout/Organization Styles
Content
Feature/Magazine Writing
Lead
Layout/Organization Styles
Content
Broadcast News Writing
Content, Lead, Layout
Journalism and Theory
Society/History
Feminist Theory
Ethics
Policies
Politics
Grammar/Copy Editing
Basic Grammar concepts
Copy editing concepts
Interviewing
How to
Statistics
Creating Statistics/Infographics
Analyzing Statistics
Using Multimedia
Twitter, Podcast, Web, video
Research, Newsgathering
Conducting research
Newsgathering
Page | 124
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Interpersonal and Small Group Communication (Back to Top)
News Writing/Reporting
Essential Personal Communication Skills
Self-Management
Critical Thinking
Leadership
Problem Solving and Decision-Making
Responsibility and Accountability
Emotional Integrity
Principles of Interpersonal & Small Group Communication
Culture
Group Culture
Hofstede's Cultural Dimensions
Workplace Culture
Written Communication
Professional and Workplace Group Documents
Verbal Communication
Tone
Clear Language
Persuasion
Rhetorical Strategies
Non-Verbal Communication
Team-Working
Creating Relationships
Observation
Active Listening
Questioning
Social Awareness
Diversity
Assertiveness
Conflict Management Skills
Constraints and Barriers
Language Differences
Cultural Differences
Personality Differences
Emotional Barriers
Generational Differences
Physical Disabilities
Psychological Barriers
Computer-Mediated Group Communication
Elements of Computer-Mediated Communication
Physical Barriers
Ethics of Small Group Communication
Ethical Responsibilities
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Mass Communication (Back to Top)
Theory & Function
Mass comm vs interpersonal communications
Mass communication theories
Mass media functions
Audience analysis
Historical and Cultural Context
Impacts of technological changes
Ownership and economics of mass media
Impact on politics & government
Entertainment & mass culture
Use in business
Mass Media Practices
Newspapers
Magazines
Broadcast: Radio & TV
Cable
Advertising & PR
Film
The Internet & Social Media
Disruption of traditional media
Impacts on audience
Impacts on ownership
Impact on content development
Media representation
Ethics & Laws
Legal protections: libel, false advertising, FCC role
Content developer's responsibilities
Page | 126
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Social Studies K-8 (Back to Top)
Ancient Civilizations
Political Practices
Religious Beliefs
Cultural Traditions
World Trade & Exploration
Major European Explorers 120-1519
Major European Discoveries 120-1519
16-17th century world trade
18-19th century world trade
The Middle Ages
The Renaissance - major philosophers
The Renaissance - major theories
Sociopolitical and Sociocultural Practices
The Medieval Pyramid
World Religions & Cultures
Major World Religions
Family structures
World holidays
Cultural diversity
Geography
Continents of the World
Oceans of the World
U.S. Geographic Regions
Early map skills
Early American Settlements
Roanoke Colony
Jamestown Colony
Plymouth Colony
The 13 Colonies
The U.S.
U.S. States and Capitals
U.S. Presidents 1789-present
Founding fathers
Founding documents
Government
Early U.S. Political Systems
Early European Political Systems
Early Asian Political Systems
Civics
Democracy
The Voting Process
Immigration
Voting Rights
Civil Rights
Civil Rights Advocates
Civil Rights Movement
The Civil Rights Act
U.S. Wars
1754-1812
1813-1865
1866-1975
World Wars
World War 1
World War 2
The Cold War
Westward Expansion
The Louisiana Purchase
The Monroe Doctrine
The Indian Removal Act
Slavery
Pre-Civil War
The Slave Trade 1480-1865
Post-Civil War
Major Historical Figures
American Inventors
Women's Rights Activists
Civil Rights Advocates
The Information Age
The rise of Mass Media
The Digital Era
Forms of Virtual Communication
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Geography (Back to Top)
Basic Geography Skills
Interpreting Maps and Diagrams
Defining Regions and Places
Space and Distance
Cultural Patterns and Influences
Formation of Social/Cultural Groups
Diffusion and Migration
Rural and Urban Land Use
Impacts of Industrialization and Agriculture
Political Patterns and Influences
Political Territories and Boundaries
Types of Political Regions
Interaction and Conflict
Natural Features
Types of Natural Regions
Change and Sustainability
Interrelationships and Causes
Spatial Association
Cause and Effect
Analyzing and Interpreting Data
Identifying Patterns
Page | 128
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US History (Back to Top)
American Identity
Native Americans
Colonization/Road to Revolution
Citizenship, Rights, Voting
Liberty, Equality, Freedoms
Sectionalism/States vs National
THE vs THESE United States
New World Power
Individualism
Politics and Power
Representation
Fight for Suffrage
Role and expansion of federal
government
Segregation/desegregation/Jim Crow
Laws
Political Parties
Work, Tech, Exchange
Agrarian America - Cash crops and early
economies
Economic change overtime
(Mercantilism - Capitalism - Laissez-
faire)
Panic, Recession, Bust
Industrialization, Boom
Labor and Unions
Invention and Innovation
Communication and Transportation
Culture and Society
Religious influences
Reform Movements
Minorities and Immigrants
Social Revolutions (women, Civil Rights,
family)
Gender Roles over Time
Migration and settlement
Push/Pull Factors
Manifest Destiny/Westward Expansion
Rural-Urban/Urban-Suburban
Government policies towards
immigration
Immigration patterns over time
forced and voluntary immigration
Internal migrations
Geography/Environment
Patterns of settlement
Pollution
Westward expansion/frontier
Conservation and Energy Management
Regional specialization
America in the World
Emergences as a world power
Involvement in international conflicts
Imperialism
Superpower
The Slave Trade
Internal Conflicts
Democracy
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World History (Back to Top)
Historical time periods - Ancient civilizations
Greece
Rome
River Valley civilizations
Historical time periods - Middle Ages
Early
Late
High
Renaissance
Art
Religion
Philosophy
Historical themes
War and conflict
Revolutions
Cultural development
Modern Times
Enlightenment
Industrial Revolution
Europe - Napoleonic Era
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Student Success and Parent Coaching (Back to Top)
Academic Strategies
Note-taking Techniques
Studying Techniques
Homework
Selecting a Major
Managing Knowledge Gaps
Scholarly Resources
Habits for Success
Organizational Skills
Attendance & Punctuality
Motivation & Goals
Stress Management
Healthy Habits
Finding Balance
Building a Support System
Non-Traditional Students
Work/Life/Family Balance
Learning New Technologies
Financial Planning
Career Transition
Scheduling & Organization
Parent Coaching for Student Success
Scheduling & Organization
Setting Expectations
Studying Techniques
Using Resources
Motivation & Goals
Managing Knowledge Gaps
Finding Balance
Page | 131
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Resume and Career Help (Back to Top)
Cover Letters
Template & formatting
Content & length
Grammar & spelling
Targeted cover letters
Resumes
Templates and formatting
Contact information placement
Appropriate email address
Resume language v. conversational language
Resume grammar and sentence structure
Identifying and using key words
Screen-out factors
Resume length
Use of color, graphics, photos
Proper tenses
Summaries and bullet points
Job history length
Summaries and bullet points
Military crossover resumes
Power verbs
Job Search Strategies
Immediate needs v. long term goals
Salary and benefits
Targeted job searches
Understanding the online application process
How to prepare for an interview
Appropriate interview attire
Online v in-person interviews