Eric Schulz has been on the mathematics faculty at Walla Walla Community College in Walla Walla, Washington for twenty-two years. He has a BS in mathematics from Seattle Pacific University and an MS in mathematics from the University of Washington. He has been working with technology in teaching since 1989 and is especially interested in innovative and effective uses of technology in teaching mathematics. He worked on Visual Linear Algebra with Gene Herman and Mike Pepe, created the Quick Start Assistant palettes shipping in Mathematica 7 & 8 worldwide, and works with Wolfram Research, Inc. as a developer.

William Briggs has been on the mathematics faculty at the University of Colorado at Denver for twenty-three years. He received his BA in mathematics from the University of Colorado and his MS and PhD in applied mathematics from Harvard University. He teaches undergraduate and graduate courses throughout the mathematics curriculum with a special interest in mathematical modeling and differential equations as it applies to problems in the biosciences. He has written a quantitative reasoning textbook, Using and Understanding Mathematics; an undergraduate problem solving book, Ants, Bikes, and Clocks; and two tutorial monographs, The Multigrid Tutorial and The DFT: An Owner’s Manual for the Discrete Fourier Transform. He is the Society for Industrial and Applied Mathematics (SIAM) Vice President for Education, a University of Colorado President’s Teaching Scholar, a recipient of the Outstanding Teacher Award of the Rocky Mountain Section of the Mathematical Association of America (MAA), and the recipient of a Fulbright Fellowship to Ireland.

1. Functions

1.1 What is a Function?

1.2 Graphs

1.3 Linear Functions

1.4 Combinations of Functions

1.5 Transformations of Functions

1.6 Quadratic Functions

1.7 Families of Functions

Chapter Summary and Review Exercises

2. Polynomials and Rational Functions

2.1 Polynomial Functions

2.2 Real Roots and Factors of Polynomial Functions

2.3 Complex Numbers

2.4 Complex Roots of Polynomial Functions

2.5 Rational Functions

2.6 Inequalities

Chapter Summary and Review Exercises

3. Exponentials and Logarithms

3.1 Exponential Functions

3.2 Inverse Functions

3.3 Logarithmic Functions

3.4 Logarithmic Identities

3.5 Solving Exponential and Logarithmic Equations

Chapter Summary and Review Exercises

4. Unit Circle Trigonometry

4.1 Angles and Their Measures

4.2 Unit Circle Definitions of Sine, Cosine, and Tangent

4.3 Sine, Cosine, and Tangent Functions

4.4 Secant, Cosecant, and Cotangent Functions

4.5 Inverse Trigonometric Functions

Chapter Summary and Review Exercises

5. Triangle Trigonometry

5.1 Right Triangle Trigonometry

5.2 Right Triangles and the Unit Circle

5.3 Law of Sines

5.4 Law of Cosines

5.5 Applications of Triangles

5.6 Vectors in the Plane

Chapter Summary and Review Exercises

6. Trigonometric Identities

6.1 Fundamental Identities

6.2 Sum, Difference, and Double-Angle Identities

6.3 Power-Reducing, Half-Angle, and Product—Sum Identities

6.4 Solving Trigonometric Equations

Chapter Summary and Review Exercises

7. Parametric and Polar Graphs

7.1 Parametric Equations

7.2 Polar Coordinates

7.3 Polar Graphs

7.4 Polar Form of Complex Numbers; De Moivre's Theorem

Chapter Summary and Review Exercises

8. Conic Sections

8.1 Parabolas

8.2 Ellipses and Circles

8.3 Hyperbolas

8.4 Eccentricity and Polar Equations of Conic Sections

Chapter Summary and Review Exercises

Appendix A. Looking Forward to Calculus: Limits

Appendix B. Looking Forward to Calculus: Sequences and Series

The New copy of this book will include any supplemental materials advertised. Please check the title of the book to determine if it should include any access cards, study guides, lab manuals, CDs, etc.

The Used, Rental and eBook copies of this book are not guaranteed to include any supplemental materials. Typically, only the book itself is included. This is true even if the title states it includes any access cards, study guides, lab manuals, CDs, etc.