Table of Contents
 Algebraic Methods

Functions and Graphs
 Absolute Value Equations
 OneVariable Absolute Value Inequalities
 Relations and Functions
 Piecewise Functions
 Graphs of Piecewise Functions
 Composite Functions
 Inverse of a Function
 Graphs of Inverses of Functions
 Reflecting Graphs Using the Absolute Value
 Combining Function Transformations
 Solving Absolute Value Problems

Sequences and Series
 Calculations with Arithmetic Sequences
 Using Arithmetic Sequence Formulas
 Arithmetic Series
 Geometric Sequences
 Finding the 𝑛th Term of a Geometric Sequence
 Sum of a Finite Geometric Sequence
 Sum of an Infinite Geometric Sequence
 Sigma Notation
 Recursive Formula of a Sequence
 Applications of Arithmetic Sequences
 Applications of Geometric Sequences and Series
 Binomial Expansion

Radians
 Conversion between Radians and Degrees
 Exact Values of Trigonometric Ratios
 Graphs of Trigonometric Functions
 Related and Correlated Angle Identities
 Arc Lengths
 Areas of Sectors and Segments
 Simple Trigonometric Equations
 Solving Trigonometric Equations Using Trigonometric Identities
 SmallAngle Approximations

Trigonometric Functions
 Evaluating Reciprocal Trigonometric Functions
 The Graphs of Reciprocal Trigonometric Functions
 Simplifying Trigonometric Expressions
 Solving Reciprocal Trigonometric Equations
 Simplifying Trigonometric Expressions Using Trigonometric Identities
 Inverse Trigonometric Functions
 Graphs of inverse trigonometric functions
 Trigonometry and Modelling
 Parametric Equations

Differentiation
 Differentiation of Trigonometric Functions
 Differentiation of Exponential Functions
 The Chain Rule
 The Product Rule
 The Quotient Rule
 Differentiation of Reciprocal Trigonometric Functions
 Derivatives of Parametric Equations
 Implicit Differentiation
 Convexity and Points of Inflection
 Related Time Rates
 Numerical Methods

Integration
 Integrating Standard Functions
 Trigonometric Integrals
 Reverse Chain Rule
 Integration by Substitution: Indefinite Integrals
 Integration by Substitution: Definite Integrals
 Integration by Parts
 Integration by Partial Fractions with Linear Factors
 Area between Curves
 Numerical Integration: The Trapezoidal Rule
 Separable Differential Equations
 Modeling with FirstOrder Separable Differential Equations
 Definite Integration as the Limit of a Sum
 Vectors