P. Prerequisites: Fundamental Concepts of Algebra

P.1 Algebraic Expressions, Mathematical Models, and Real Numbers

P.2 Exponents and Scientific Notation

P.3 Radicals and Rational Exponents

P.4 Polynomials

P.5 Factoring Polynomials

Mid-Chapter Check Point

P.6 Rational Expressions

P.7 Equations

P.8 Modeling with Equations

P.9 Linear Inequalities and Absolute Value Inequalities

SUMMARY, REVIEW, AND TEST

REVIEW EXERCISES

CHAPTER P TEST

1. Functions and Graphs

1.1 Graphs and Graphing Utilities

1.2 Basics of Functions and Their Graphs

1.3 More on Functions and Their Graphs

1.4 Linear Functions and Slope

1.5 More on Slope

Mid-Chapter Check Point

1.6 Transformations of Functions

1.7 Combinations of Functions; Composite Functions

1.8 Inverse Functions

1.9 Distance and Midpoint Formulas; Circles

1.10 Modeling with Functions

SUMMARY, REVIEW, AND TEST

REVIEW EXERCISES

CHAPTER 1 TEST

2. Polynomial and Rational Functions

2.1 Complex Numbers

2.2 Quadratic Functions

2.3 Polynomial Functions and Their Graphs

2.4 Dividing Polynomials; Remainder and Factor Theorems

2.5 Zeros of Polynomial Functions

Mid-Chapter Check Point

2.6 Rational Functions and Their Graphs

2.7 Polynomial and Rational Inequalities

2.8 Modeling Using Variation

SUMMARY, REVIEW, AND TEST

REVIEW EXERCISES

CHAPTER 2 TEST

CUMULATIVE REVIEW EXERCISES (CHAPTERS P-2)

3. Exponential and Logarithmic Functions

3.1 Exponential Functions

3.2 Logarithmic Functions

3.3 Properties of Logarithms

Mid-Chapter Check Point

3.4 Exponential and Logarithmic Equations

3.5 Exponential Growth and Decay; Modeling Data

SUMMARY, REVIEW, AND TEST

REVIEW EXERCISES

CHAPTER 3 TEST

CUMULATIVE REVIEW EXERCISES (CHAPTERS P-3)

4. Trigonometric Functions

4.1 Angles and Radian Measure

4.2 Trigonometric Functions: The Unit Circle

4.3 Right Triangle Trigonometry

4.4 Trigonometric Functions of Any Angle

Mid-Chapter Check Point

4.5 Graphs of Sine and Cosine Functions

4.6 Graphs of Other Trigonometric Functions

4.7 Inverse Trigonometric Functions

4.8 Applications of Trigonometric Functions

SUMMARY, REVIEW, AND TEST

REVIEW EXERCISES

CHAPTER 4 TEST

CUMULATIVE REVIEW EXERCISES (CHAPTERS P-4)

5. Analytic Trigonometry

5.1 Verifying Trigonometric Identities

5.2 Sum and Difference Formulas

5.3 Double-Angle, Power-Reducing, and Half-Angle Formulas

Mid-Chapter Check Point

5.4 Product-to-Sum and Sum-to-Product Formulas

5.5 Trigonometric Equations

SUMMARY, REVIEW, AND TEST

REVIEW EXERCISES

CHAPTER 5 TEST

CUMULATIVE REVIEW EXERCISES (CHAPTERS P-5)

6. Additional Topics in Trigonometry

6.1 The Law of Sines

6.2 The Law of Cosines

6.3 Polar Coordinates

6.4 Graphs of Polar Equations

Mid-Chapter Check Point

6.5 Complex Numbers in Polar Form; DeMoivre's Theorem

6.6 Vectors

6.7 The Dot Product

SUMMARY, REVIEW, AND TEST

REVIEW EXERCISES

CHAPTER 6 TEST

CUMULATIVE REVIEW EXERCISES (CHAPTERS P-6)