College Algebra

Chapter 1: Graphs, Functions, and Models

• • 1.1 Introduction to Graphing
• • 1.2 Functions and Graphs
• • 1.3 Linear Functions, Slope, and Applications
• • 1.4 Equations of Lines and Modeling
• • 1.5 Linear Equations, Functions, Zeros, and Applications
• • 1.6 Solving Linear Inequalities

Chapter 2: More on Functions

• • 2.1 Increasing, Decreasing, and Piecewise Functions; Applications
• • 2.2 The Algebra of Functions
• • 2.3 The Composition of Functions
• • 2.4 Symmetry
• • 2.5 Transformations
• • 2.6 Variation and Applications

Chapter 3: Quadratic Functions and Equations; Inequalities

• • 3.1 The Complex Numbers
• • 3.2 Quadratic Equations, Functions, Zeros, and Models
• • 3.3 Analyzing Graphs of Quadratic Functions
• • 3.4 Solving Rational Equations and Radical Equations
• • 3.5 Solving Equations and Inequalities with Absolute Value

Chapter 4: Polynomial Functions and Rational Functions

• • 4.1 Polynomial Functions and Models
• • 4.2 Graphing Polynomial Functions
• • 4.3 Polynomial Division; The Remainder Theorem and the Factor Theorem
• • 4.4 Theorems about Zeros of Polynomial Functions
• • 4.5 Rational Functions
• • 4.6 Polynomial Inequalities and Rational Inequalities

Chapter 5: Exponential Functions and Logarithmic Functions

• • 5.1 Inverse Functions
• • 5.2 Exponential Functions and Graphs
• • 5.3 Logarithmic Functions and Graphs
• • 5.4 Properties of Logarithmic Functions
• • 5.5 Solving Exponential Equations and Logarithmic Equations
• • 5.6 Applications and Models: Growth and Decay; Compound Interest

Chapter 6: Systems of Equations and Matrices

• • 6.1 Systems of Equations in Two Variables
• • 6.2 Systems of Equations in Three Variables
• • 6.3 Matrices and Systems of Equations
• • 6.4 Matrix Operations
• • 6.5 Inverses of Matrices
• • 6.6 Determinants and Cramer's Rule
• • 6.7 Systems of Inequalities and Linear Programming
• • 6.8 Partial Fractions

Chapter 7: Conic Sections

• • 7.1 The Parabola
• • 7.2 The Circle and the Ellipse
• • 7.3 The Hyperbola
• • 7.4 Nonlinear Systems of Equations and Inequalities

Chapter 8: Sequences, Series, and Combinatorics

• • 8.1 Sequences and Series
• • 8.2 Arithmetic Sequences and Series
• • 8.3 Geometric Sequences and Series
• • 8.4 Mathematical Induction
• • 8.5 Combinatorics: Permutations
• • 8.6 Combinatorics: Combinations
• • 8.7 The Binomial Theorem
• • 8.8 Probability