College Algebra

1.1 The Real Number System

1.2 The Arithmetic of Algebraic Expressions

1.3a Properties of Exponents

1.3b Scientific Notation and Geometric Problems Using Exponents

1.4a Properties of Radicals

1.4b Rational Number Exponents

1.5 Polynomials and Factoring

1.6 The Complex Number System

2.1a Linear Equations in One Variable

2.1b Applications of Linear Equations in One Variable

2.2 Linear Inequalities in One Variable

2.3 Quadratic Equations in One Variable

2.4 Higher Degree Polynomial Equations

2.5 Rational Expressions and Equations

2.6 Radical Equations

3.1 The Cartesian Coordinate System

3.2 Linear Equations in Two Variables

3.3 Forms of Linear Equations

3.4 Parallel and Perpendicular Lines

3.5 Linear Inequalities in Two Variables

3.6 Introduction to Circles

4.1 Relations and Functions

4.2a Linear and Quadratic Functions

4.2b Max/Min Applications of Quadratic Functions

4.3a Other Common Functions

4.3b Direct and Inverse Variation

4.4 Transformations of Functions

4.5 Combining Functions

4.6 Inverses of Functions

7.1 Exponential Functions and their Graphs

7.2 Applications of Exponential Functions

7.3 Logarithmic Functions and their Graphs

7.4 Properties and Applications of Logarithms

7.5 Exponential and Logarithmic Equations

8.1 Solving Systems by Substitution and Elimination

8.2 Matrix Notation and Gaussian Elimination

8.3 Determinants and Cramer's Rule

8.4 The Algebra of Matrices

8.5 Inverses of Matrices

8.6 Linear Programming

8.7 Nonlinear Systems of Equations

9.1 Sequences and Series

9.2 Arithmetic Sequences and Series

9.3 Geometric Sequences and Series

9.4 Mathematical Induction

9.5a An Introduction to Combinatorics - Counting, Permutations, and Combinations

9.5b An Introduction to Combinatorics - The Binomial and Multinomial Theorems

9.6 An Introduction to Probability

A.1 Introduction to Polynomial Equations and Graphs (excluding complex numbers)

A.2 Polynomial Division and the Division Algorithm (excluding complex numbers)

A.3 Locating Real Zeros of Polynomials (excluding complex numbers)

A.4 The Fundamental Theorem of Algebra (excluding complex numbers)

A.5 Mathematical Models

A.6 Properties of Functions

A.7 Angles and Triangles

A.8 Perimeter

A.9 Area

A.10 Circles

A.11 Volume and Surface Area

A.12 Similar and Congruent Triangles

A.13 Square Roots and the Pythagorean Theorem