SEMESTER 1

Chapter 1 - Linear Relations and Functions 

1-1 Relations and Functions

1-2 Composition of Functions

1-3 Graphing Linear Equations

1-4 Writing Linear Equations

Mid Chapter Review

1-5 Writing Equations of Parallel and Perpendicular Lines

1-6 Modeling Real-World Data with Linear Functions

1-7 Piecewise Functions

1-8 Graphing Linear Inequalities

Chapter 1 Review

Chapter 2 - Systems of Linear Equations and Inequalities

2-1 Solving Systems of Equations in Two Variables

2-2 Solving Systems of Equations in Three Variables

2-3 Modeling Real-World Data with Matrices

Mid Chapter Review

2-5 Determinants and Multiplicative Inverses of Matrices

2-5B Augmented Matrices and Reduced Row-Echelon Form

2-6 Solving Systems of Linear Inequalities

Chapter 2 Review

Chapter 3 - The Nature of Graphs

3-1 Symmetry and Coordinate Graphs

3-2 Families of Graphs

3-3 Graphs of Nonlinear Inequalities

Mid Chapter Review

3-4 Inverse Functions and Relations

3-7 Graphs of Rational Functions

Chapter 3 Review

Chapter 4 - Polynomial and Rational Functions

4-1 Polynomial Functions

4-2 Quadratic Functions

4-3 The Remainder and Factor Theorems

4-4 The Rational Root Theorem

4-5 Locating Zeros of a Polynomial Function

4-6 Rational Equations and Partial Fractions

4-7 Radical Equations and Inequalities

Chapter 4 Review

Chapter 11 - Exponential and Logarithmic Functions

11-1 Real Exponents

11-2 Exponential Functions

11-3 The Number e

11-4 Logarithmic Functions

Chapter 5 - The Trigonometric Functions

5-1 Angles and Degree Measure

5-2 Trigonometric Ratios in Right Triangles

5-3 Trigonometric Functions on the Unit Circle

5-4 Applying Trigonometric Functions

5-5 Solving Right Triangles

5-6 The Law of Sines

5-7 The Ambiguous Case for the Law of Sines

5-8 The Law of Cosines

Chapter 5 Review

Chapter 6 - Graphs of Trigonometric Functions

6-1 Angles and Radian Measure

6-2 Linear and Angular Velocity

6-3 Graphing Sine and Cosine Functions

6-4 Amplitude and Period of Sine and Cosine Functions

MidChapter 6 Review

6-5 Translations of Sine and Cosine Functions

6-7 Graphing Other Trigonometric Functions

6-8 Trigonometric Inverses

Chapter 6 Review

Chapter 7

7-1 Basic Trigonometric Identities

7-2 Verifying Trigonometric Identities

7-3 Sum and Difference Identities

Mid Chapter 7 Review

7-4 Double-Angle and Half-Angle Identities

7-5 Solving Trigonometric Equations

Chapter 7 Review

Chapter 8

8-1 Geometric Vectors

8-2 Algebraic Vectors

8-3 Vectors in 3D Space

8-4 Perpendicular Vectors

8-5 Applications with Vectors

8-6 Vectors and Parametric Equations

8-7 Modeling Motion Using Parametric Equations

8-8 Transformation Matrices in 3D Space

Chapter 8 Review

Chapter 13

13-1 Permutations and Combinations

13-2 Permutations with Repetitions and Circular Permutations

13-3 Probability and Odds

Chapter 9