PreCalculus with Trigonometry, 4th Edition fully integrates technology to illustrate difficult concepts and gives students the opportunity to explore ideas, draw mathematical conclusions, and test hypotheses.
With this curriculum, educators can bring everyday relevance to abstract concepts, spark mathematical thinking, and prepare students for success in future courses, including Calculus and AP® Calculus.
New, helpful online resources for both teachers and students include:
- Interactive eBooks with note-taking capabilities
- Interactive math explorations through ClassPad.net
- Embedded video demonstrations
- Online access to teacher resources such as assessment materials, pacing guides, presentations, supplementary problems, differentiated instruction, Classpad papers, and more
Included is a 6-Year license to access the Teacher Edition eBook and digital materials through our online platform, Flourish.
Unit 1: Algebraic, Exponential, and Logarithmic Functions
- Chapter 1: Functions and Mathematical Models
- Chapter 2: Properties of Elementary Functions
- Chapter 3: Fitting Functions to Data
- Chapter 4: Polynomial and Rational Functions
Unit 2: Trigonometric and Periodic Functions
- Chapter 5: Periodic Functions and Right Triangle Problems
- Chapter 6: Applications of Trigonometric and Circular Functions
- Chapter 7: Trigonometric Function Properties and Identities, and Parametric Functions
- Chapter 8: Properties of Combined Sinusoids
- Chapter 9: Triangle Trigonometry
Unit 3: Analytic Geometry
- Chapter 10: Conic Sections and Quadric Surfaces
- Chapter 11: Polar Coordinates, Complex Numbers, and Moving Objects
- Chapter 12: Three-Dimensional Vectors
- Chapter 13: Matrix Transformations and Fractal Figures
Unit 4: Introduction to Discrete and Continuous Mathematics
- Chapter 14: Probability, and Functions of a Random Variable
- Chapter 15: Sequences and Series
- Chapter 16: Introduction to Limits, Derivatives, and Integrals
Appendix A Types of Numbers, Axioms, and Other Properties
Appendix B Mathematical Induction
Glossary
Index of Explorations
General Index
Image Credits
Answers to Selected Problems
Additional Answers

Paul Foerster
Paul A. Foerster enjoyed teaching mathematics at Alamo Heights High School in San Antonio, Texas, from 1961 to 2011. He holds a bachelor’s degree in chemical engineering, a master’s degree in mathematics, and an honorary doctorate in humane letters. His experience as an Engineering Duty Officer in the Navy from 1957 to 1961, with the design, manufacture, and testing of nuclear submarines, taught him the importance of understanding basic theory if you are to make intelligent applications of mathematics. As a teacher, he wrote problems that led his students to acquire this concept. The problems and supporting narrative now appear in his five textbooks—Algebra 1 through Calculus. Paul was the Texas recipient of the Presidential Award for Excellence in Mathematics Teaching in 1983, the first year of the award. In retirement, he remains active in mathematics education through presentations at national meetings, writing, and sharing teaching materials electronically with teachers around the world. He raised three children with the late Jo Ann
Foerster, has two stepchildren through his wife Peggy Foerster (all five children now married), seven grandchildren, and one great-grandson.