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Functions and Their Graphs
- Lines in the Plane
- Functions
- Graphs of Functions
- Shifting, Reflecting, and Stretching Graphs
- Combinations of Functions
- Inverse Functions
- Linear Models and Scatter Plots
- Review Exercises
- Chapter Test
Polynomial and Rational Functions
- Quadratic Functions
- Polynomial Functions of Higher Degree
- Real Zeros of Polynomial Functions
- Complex Numbers
- The Fundamental Theorem of Algebra
- Rational Functions and Asymptotes
- Graphs of Rational Functions
- Quadratic Models
- Review Exercises
- Chapter Test
Exponential and Logarithmic Functions
- Exponential Functions and Their Graphs
- Logarithmic Functions and Their Graphs
- Properties of Logarithms
- Solving Exponential and Logarithmic Equations
- Exponential and Logarithmic Models
- Nonlinear Models
- Review Exercises
- Chapter Test
- Cumulative Test
Trigonometric Functions
- Radian and Degree Measure
- Trigonometric Functions: The Unit Circle
- Right Triangle Trigonometry
- Trigonometric Functions of Any Angle
- Graphs of Sine and Cosine Functions
- Graphs of Other Trigonometric Functions
- Inverse Trigonometric Functions
- Applications and Models
- Review Exercises
- Chapter Test
- Library of Parent Functions Review
Analytic Trigonometry
- Using Fundamental Identities
- Verifying Trigonometric Identities
- Solving Trigonometric Equations
- Sum and Difference Formulas
- Multiple-Angle and Product-to-Sum Formulas
- Review Exercises
- Chapter Test
Additional Topics in Trigonometry
- Law of Sines
- Law of Cosines
- Vectors in the Plane
- Vectors and Dot Products
- Trigonometric Form of a Complex Number
- Review Exercises
- Chapter Test
- Cumulative Test
Linear Systems and Matrices
- Solving Systems of Equations
- Systems of Linear Equations in Two Variables
- Multivariable Linear Systems
- Matrices and Systems of Equations
- Operations with Matrices
- The Inverse of a Square Matrix
- The Determinant of a Square Matrix
- Applications of Matrices and Determinants
- Review Exercises
- Chapter Test
Sequences, Series, and Probability
- Sequences and Series
- Arithmetic Sequences and Partial Sums
- Geometric Sequences and Series
- The Binomial Theorem
- Counting Principles
- Probability
- Review Exercises
- Chapter Test
Topics in Analytic Geometry
- Conics: Circles and Parabolas
- Ellipses
- Hyperbolas and Rotation of Conics
- Parametric Equations
- Polar Coordinates
- Graphs of Polar Equations
- Polar Equations of Conics
- Review Exercises
- Chapter Test
- Cumulative Test
Analytic Geometry in Three Dimensions
- The Three-Dimensional Coordinate System
- Vectors in Space
- The Cross Product of Two Vectors
- Lines and Planes in Space
- Review Exercises
- Chapter Test
Limits and an Introduction to Calculus
- Introduction to Limits
- Techniques for Evaluating Limits
- The Tangent Line Problem
- Limits at Infinity and Limits of Sequences
- The Area Problem
- Review Exercises
- Chapter Test
- Cumulative Test
Appendix
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