Table of Contents
-
Properties of Functions and Graphs
- Lesson: Symmetry of Graphs and Functions
- Lesson: Absolute Value Functions
- Lesson: Piecewise Functions
- Lesson: Domain and Range of a Piecewise Function
- Lesson: Graphs of Piecewise Functions
- Lesson: Composite Functions
- Lesson: Extrema of a Function Graph
- Lesson: Function Transformations: Translations
- Lesson: Function Transformations: Reflection
- Lesson: Function Transformations: Dilation
- Lesson: Inverse of a Function
- Lesson: Graphs of Inverses of Functions
- Quadratic Functions
-
Polynomial Functions
- Lesson: Simplifying Expressions: Rules of Exponents
- Lesson: Monomial Functions
- Lesson: Polynomial Functions
- Lesson: Zeros of Polynomial Functions
- Lesson: Real and Complex Roots of Polynomials
- Lesson: Graphs of Polynomial Functions
- Lesson: Polynomial Equations
- Lesson: Dividing Polynomials by Monomials
- Lesson: Dividing Polynomials by Binomials Using Factorization
- Lesson: Polynomial Long Division without Remainder
- Lesson: Polynomial Long Division with Remainder
- Lesson: Synthetic Division
- Lesson: Remainder and Factor Theorem with Synthetic Division
- Lesson: Cubic Functions and Their Graphs
- Lesson: Roots of Cubic Functions
- Lesson: Descartes’ Rule of Signs
- Lesson: Rational Zeros Theorem
- Lesson: Linear Factorization and Conjugate Root Theorems
-
Rational and Radical Functions
- Lesson: Adding and Subtracting Square Roots
- Lesson: Multiplying and Dividing Square Roots
- Lesson: Rationalizing Denominators
- Lesson: Radical Equations
- Lesson: Radical Functions
- Lesson: Radical Inequalities
- Lesson: Simplifying Algebraic Fractions
- Lesson: Rational Equations
- Lesson: Rational Functions
- Lesson: Simplifying Rational Functions
- Lesson: Domain and Range of a Rational Function
- Lesson: Adding and Subtracting Rational Functions
- Lesson: Multiplying and Dividing Rational Functions
- Lesson: Horizontal and Vertical Asymptotes of a Function
- Lesson: Graphs of Rational Functions
- Lesson: Oblique Asymptotes
- Lesson: Rational Inequalities
-
Exponential and Logarithmic Functions
- Lesson: Solving Exponential Equations Using Exponent Properties
- Lesson: Exponential Inequalities
- Lesson: Evaluating Natural Exponential Expressions
- Lesson: Natural Exponential Equations
- Lesson: Logarithmic Functions
- Lesson: Laws of Logarithms
- Lesson: Evaluating Logarithms
- Lesson: Converting between Logarithmic and Exponential Forms
- Lesson: Graphs of Logarithmic Functions
- Lesson: Simplifying Natural Logarithmic Expressions
- Lesson: Natural Logarithmic Equations
- Lesson: Solving Exponential Equations Using Logarithms
- Lesson: Logarithmic Equations with Like Bases
- Lesson: Logarithmic Equations with Different Bases
-
Sequences and Series
- Lesson: Sigma Notation
- Lesson: Arithmetic Mean
- Lesson: Arithmetic Series
- Lesson: Geometric Mean
- Lesson: Sum of a Finite Geometric Sequence
- Lesson: Sum of an Infinite Geometric Sequence
- Lesson: Infinite Geometric Series
- Lesson: Applications of Geometric Sequences and Series
- Lesson: Mathematical Induction
- Sets
-
Probability and Statistics
- Lesson: Geometric Probability
- Lesson: Mutually Exclusive Events
- Lesson: Independent Events
- Lesson: Complementary Events
- Lesson: Operations on Events
- Lesson: Conditional Probability
- Lesson: Conditional Probability: Two-Way Tables
- Lesson: Dependent and Independent Events
- Lesson: Compound Events
- Lesson: Simulation Design
- Lesson: Types of Statistical Studies
- Lesson: Expected Values of Discrete Random Variables
- Lesson: Standard Deviation of Discrete Random Variables
- Conic Sections
-
Matrices
- Lesson: Introduction to Matrices
- Lesson: Equal Matrices
- Lesson: Scalar Multiplication of Matrices
- Lesson: Adding and Subtracting Matrices
- Lesson: Matrix Operations
- Lesson: Matrix Multiplication
- Lesson: Properties of Matrix Multiplication
- Lesson: Power of a Matrix
- Lesson: Two-by-Two Determinants
- Lesson: Three-by-Three Determinants
- Lesson: Cramer’s Rule
- Lesson: Using Determinants to Calculate Areas
- Lesson: Inverse of a 2 × 2 Matrix
- Lesson: Solving a System of Two Equations Using a Matrix Inverse
- Lesson: Inverse of a Matrix: The Adjoint Method
- Lesson: Inverse of a Matrix: Row Operations
- Lesson: Introduction to the System of Linear Equations
- Lesson: Solving a System of Three Equations Using a Matrix Inverse
- Lesson: Augmented Matrices
- Lesson: Linear Transformation Definition
- Lesson: Linear Transformations in Planes: Scaling
- Lesson: Linear Transformations in Planes: Reflection
- Lesson: Applications on Representing Data Using Matrices
-
Trigonometric Functions
- Lesson: Angles in Standard Position
- Lesson: Conversion between Radians and Degrees
- Lesson: Arc Lengths
- Lesson: Trigonometric Ratios on the Unit Circle
- Lesson: Trigonometric Ratios in Right Triangles
- Lesson: Signs of Trigonometric Functions in Quadrants
- Lesson: Trigonometric Functions’ Values with Reference Angles
- Lesson: Evaluating Trigonometric Functions with Special Angles
- Lesson: Evaluating Trigonometric Ratios given the Value of Another Ratio
- Lesson: Exact Values of Trigonometric Ratios
- Lesson: Graphs of Trigonometric Functions
- Lesson: Amplitude and Period of Trigonometric Functions
- Lesson: Inverse Trigonometric Functions
- Lesson: The Graphs of Reciprocal Trigonometric Functions
- Lesson: Graphing Periodic Functions
- Lesson: Transformation of Trigonometric Functions
-
Trigonometric Equations and Identities
- Lesson: Simplifying Trigonometric Expressions
- Lesson: Simplifying Trigonometric Expressions Using Trigonometric Identities
- Lesson: Evaluating Trigonometric Functions Using Pythagorean Identities
- Lesson: Evaluating Trigonometric Functions Using Periodic Functions
- Lesson: Solving Equations Using Inverse Trigonometric Functions
- Lesson: Solving Reciprocal Trigonometric Equations
- Lesson: Simple Trigonometric Equations
- Lesson: Solving a Trigonometric Equation
- Lesson: Angle Sum and Difference Identities
- Lesson: Double-Angle and Half-Angle Identities
- Lesson: Solving Trigonometric Equations Using Trigonometric Identities
- Lesson: Solving Trigonometric Equations with the Double-Angle Identity
- Lesson: Modeling with Trigonometric Functions