1.1a The Real Number System

1.1b The Arithmetic of Algebraic Expressions

1.2a Properties of Exponents

1.2b Scientific Notation and Geometric Problems Using Exponents

1.2c Properties of Radicals

1.2d Rational Number Exponents

1.3 Polynomials and Factoring

1.4 The Complex Number System

1.5a Linear Equations in One Variable

1.5b Applications of Linear Equations in One Variable

1.6 Linear Inequalities in One Variable

1.7a Quadratic Equations in One Variable

1.7b Higher Degree Polynomial Equations

1.8a Rational Expressions and Equations

1.8b Radical Equations

1.1b The Arithmetic of Algebraic Expressions

1.2a Properties of Exponents

1.2b Scientific Notation and Geometric Problems Using Exponents

1.2c Properties of Radicals

1.2d Rational Number Exponents

1.3 Polynomials and Factoring

1.4 The Complex Number System

1.5a Linear Equations in One Variable

1.5b Applications of Linear Equations in One Variable

1.6 Linear Inequalities in One Variable

1.7a Quadratic Equations in One Variable

1.7b Higher Degree Polynomial Equations

1.8a Rational Expressions and Equations

1.8b Radical Equations

2.1 The Cartesian Coordinate System

2.2 Linear Equations in Two Variables

2.3 Forms of Linear Equations

2.4 Parallel and Perpendicular Lines

2.5 Linear Inequalities in Two Variables

2.6 Introduction to Circles

2.2 Linear Equations in Two Variables

2.3 Forms of Linear Equations

2.4 Parallel and Perpendicular Lines

2.5 Linear Inequalities in Two Variables

2.6 Introduction to Circles

3.1 Relations and Functions

3.2a Linear and Quadratic Functions

3.2b Max/Min Applications of Quadratic Functions

3.3 Other Common Functions

3.4 Variation and Multi-Variable Functions

3.5 Transformations of Functions

3.6 Combining Functions

3.7 Inverses of Functions

3.2a Linear and Quadratic Functions

3.2b Max/Min Applications of Quadratic Functions

3.3 Other Common Functions

3.4 Variation and Multi-Variable Functions

3.5 Transformations of Functions

3.6 Combining Functions

3.7 Inverses of Functions

4.1 Introduction to Polynomial Equations and Graphs

4.2 Polynomial Division and the Division Algorithm

4.3 Locating Real Zeros of Polynomials

4.4 The Fundamental Theorem of Algebra

4.5a Rational Functions

4.5b Rational Inequalities

4.2 Polynomial Division and the Division Algorithm

4.3 Locating Real Zeros of Polynomials

4.4 The Fundamental Theorem of Algebra

4.5a Rational Functions

4.5b Rational Inequalities

5.1 Exponential Functions and their Graphs

5.2 Applications of Exponential Functions

5.3 Logarithmic Functions and their Graphs

5.4 Properties and Applications of Logarithms

5.5 Exponential and Logarithmic Equations

5.2 Applications of Exponential Functions

5.3 Logarithmic Functions and their Graphs

5.4 Properties and Applications of Logarithms

5.5 Exponential and Logarithmic Equations

6.1 Radian and Degree Measure of Angles

6.2 Trigonometric Functions of Acute Angles

6.3 Trigonometric Functions of Any Angle

6.4 Graphs of Trigonometric Functions

6.5 Inverse Trigonometric Functions

6.2 Trigonometric Functions of Acute Angles

6.3 Trigonometric Functions of Any Angle

6.4 Graphs of Trigonometric Functions

6.5 Inverse Trigonometric Functions

7.1 Fundamental Identities and their Uses

7.2 Sum and Difference Identities

7.3 Product - Sum Identities

7.4 Trigonometric Equations

7.2 Sum and Difference Identities

7.3 Product - Sum Identities

7.4 Trigonometric Equations

8.1a The Law of Sines and the Law of Cosines

8.1b Area of Triangles

8.2 Polar Coordinates and Polar Equations

8.3a Parametric Equations - Graphing and Applications

8.3b Parametric Equations - Eliminating the Parameter

8.3c Parametric Equations - Constructing Equations

8.4a Trigonometric Form of Complex Numbers

8.4b Operations with Complex Numbers

8.5 Vectors in the Cartesian Plane

8.6 The Dot Product and Its Uses

8.1b Area of Triangles

8.2 Polar Coordinates and Polar Equations

8.3a Parametric Equations - Graphing and Applications

8.3b Parametric Equations - Eliminating the Parameter

8.3c Parametric Equations - Constructing Equations

8.4a Trigonometric Form of Complex Numbers

8.4b Operations with Complex Numbers

8.5 Vectors in the Cartesian Plane

8.6 The Dot Product and Its Uses

9.1 The Ellipse

9.2 The Parabola

9.3 The Hyperbola

9.4 Rotation of Conics

9.5 Polar Form of Conic Sections

9.2 The Parabola

9.3 The Hyperbola

9.4 Rotation of Conics

9.5 Polar Form of Conic Sections

10.1 Solving Systems by Substitution and Elimination

10.2 Matrix Notation and Gaussian Elimination

10.3 Determinants and Cramer's Rule

10.4 The Algebra of Matrices

10.5 Inverses of Matrices

10.6 Partial Fraction Decomposition

10.7 Linear Programming

10.8 Nonlinear Systems of Equations

10.2 Matrix Notation and Gaussian Elimination

10.3 Determinants and Cramer's Rule

10.4 The Algebra of Matrices

10.5 Inverses of Matrices

10.6 Partial Fraction Decomposition

10.7 Linear Programming

10.8 Nonlinear Systems of Equations

11.1 Sequences and Series

11.2 Arithmetic Sequences and Series

11.3 Geometric Sequences and Series

11.4 Mathematical Induction

11.5a An Introduction to Combinatorics - Counting, Permutations, and Combinations

11.5b An Introduction to Combinatorics - The Binomial and Multinomial Theorems

11.6 An Introduction to Probability

11.2 Arithmetic Sequences and Series

11.3 Geometric Sequences and Series

11.4 Mathematical Induction

11.5a An Introduction to Combinatorics - Counting, Permutations, and Combinations

11.5b An Introduction to Combinatorics - The Binomial and Multinomial Theorems

11.6 An Introduction to Probability