Table of Contents
Chapter P – PREREQUISITES
- P.1 Real Numbers
- P.2 Exponents and Radicals
- P.3 Polynomials and Factoring
- P.4 Rational Expressions
- P.5 The Cartesian Plane
- P.6 Representing Data Graphically
Chapter 1 – FUNCTIONS AND THEIR GRAPHS
- 1.1 Graphs of Equations
- 1.2 Lines in the Plane
- 1.3 Functions
- 1.4 Graphs of Functions
- 1.5 Shifting, Reflecting, and Stretching Graphs
- 1.6 Combinations of Functions
- 1.7 Inverse Functions
Chapter 2 – SOLVING EQUATIONS AND INEQUALITIES
- 2.1 Linear Equations and Problem Solving
- 2.2 Solving Equations Graphically
- 2.3 Complex Numbers
- 2.4 Solving Quadratic Equations Algebraically
- 2.5 Solving Other Types of Equations Algebraically
- 2.6 Solving Inequalities Algebraically and Graphically
- 2.7 Linear Models and Scatter Plots
Chapter 3 – POLYNOMIAL AND RATIONAL FUNCTIONS
- 3.1 Quadratic Functions
- 3.2 Polynomial Functions of Higher Degree
- 3.3 Real Zeros of Polynomial Functions
- 3.4 The Fundamental Theorem of Algebra
- 3.5 Rational Functions and Asymptotes
- 3.6 Graphs of Rational Functions
- 3.7 Quadratic Models
Chapter 4 – EXPONENTIAL AND LOGARITHMIC FUNCTIONS
- 4.1 Exponential Functions and Their Graphs
- 4.2 Logarithmic Functions and Their Graphs
- 4.3 Properties of Logarithms
- 4.4 Solving Exponential and Logarithmic Equations
- 4.5 Exponential and Logarithmic Models
- 4.6 Nonlinear Models
Chapter 5 – LINEAR SYSTEMS AND MATRICES
- 5.1 Solving Systems of Equations
- 5.2 Systems of Linear Equations in Two Variables
- 5.3 Multivariable Linear Systems
- 5.4 Matrices and Systems of Equations
- 5.5 Operations with Matrices
- 5.6 The Inverse of a Square Matrix
- 5.7 The Determinant of a Square Matrix
- 5.8 Applications of Matrices and Determinants
Chapter 6 – SEQUENCES, SERIES, AND PROBABILITY
- 6.1 Sequences and Series
- 6.2 Arithmetic Sequences and Partial Sums
- 6.3 Geometric Sequences and Series
- 6.4 Mathematical Induction
- 6.5 The Binomial Theorem
- 6.6 Counting Principles
- 6.7 Probability
Chapter 7 – CONICS AND PARAMETRIC EQUATIONS
- 7.1 Circles and Parabolas
- 7.2 Ellipses
- 7.3 Hyperbolas
- 7.4 Parametric Equations
Course Access Options