Overview
This textbook prepares students for calculus by integrating advanced algebra, trigonometry, and function analysis. Students investigate periodic behavior, mathematical modeling, conic sections, vectors, polar coordinates, and analytical techniques used throughout higher mathematics, engineering, computer science, economics, and the physical sciences.
Table of Contents
- Chapter 1: Functions, Graphs, and Models
- Chapter 2: Transformations, Inverses, and Function Operations
- Chapter 3: Angles, Circles, and Radian Measure
- Chapter 4: The Unit Circle and Trigonometric Functions
- Chapter 5: Graphs of Trigonometric Functions
- Chapter 6: Trigonometric Identities and Equations
- Chapter 7: Triangle Trigonometry and Applications
- Chapter 8: Polynomial and Rational Functions
- Chapter 9: Exponential and Logarithmic Functions
- Chapter 10: Sequences, Series, and Mathematical Induction
- Chapter 11: Conic Sections and Analytic Geometry
- Chapter 12: Parametric Equations, Polar Coordinates, and Vectors
- Chapter 13: Limits, Continuity, and Rates of Change
- Chapter 14: Precalculus Modeling and Capstone Review
Learning Outcomes
- Analyze and graph trigonometric functions.
- Apply trigonometric identities and equations.
- Model periodic and cyclical phenomena.
- Investigate advanced polynomial, rational, exponential, and logarithmic functions.
- Use vectors, matrices, and analytic geometry to solve quantitative problems.
- Analyze sequences, series, and mathematical patterns.
- Develop the mathematical foundation necessary for success in calculus.