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Functions and Their Graphs
- Rectangular Coordinates
- Graphs of Equations
- Linear Equations in Two Variables
- Functions
- Analyzing Graphs of Functions
- A Library of Parent Functions
- Transformations of Functions
- Combinations of Functions: Composite Functions
- Inverse Functions
- Mathematical Modeling and Variation
- Review Exercises
- Chapter Test
- P.S. Problem Solving
Polynomial and Rational Functions
- Quadratic Functions and Models
- Polynomial Functions of Higher Degree
- Polynomial and Synthetic Division
- Complex Numbers
- Zeros of Polynomial Functions
- Rational Functions
- Nonlinear Inequalities
- Review Exercises
- Chapter Test
- P.S. Problem Solving
Exponential and Logarithmic Functions
- Exponential Functions and Their Graphs
- Logarithmic Functions and Their Graphs
- Properties of Logarithms
- Exponential and Logarithmic Equations
- Exponential and Logarithmic Models
- Review Exercises
- Chapter Test
- Cumulative Test for Chapters 1-3
- P.S. Problem Solving
Trigonometry
- 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
- P.S. Problem Solving
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
- P.S. Problem Solving
Additional Topics in Trigonometry
- Law of Sines
- Law of Cosines
- Vectors in the Plane
- Vectors and Dot Products
- The Complex Plane
- Trigonometric Form of a Complex Number
- Review Exercises
- Chapter Test
- Cumulative Test for Chapters 4-6
- P.S. Problem Solving
Systems of Equations and Inequalities
- Linear and Nonlinear Systems of Equations
- Two-Variable Linear Systems
- Multivariable Linear Systems
- Partial Fractions
- Systems of Inequalities
- Linear Programming
- Review Exercises
- Chapter Test
- P.S. Problem Solving
Matrices and Determinants
- 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
- P.S. Problem Solving
Sequences, Series, and Probability
- Sequences and Series
- Arithmetic Sequences and Partial Sums
- Geometric Sequences and Series
- Mathematical Induction
- The Binomial Theorem
- Counting Principles
- Probability
- Review Exercises
- Chapter Test
- Cumulative Test for Chapters 7-9
- P.S. Problem Solving
Topics in Analytic Geometry
- Lines
- Introduction to Conics: Parabolas
- Ellipses
- Hyperbolas
- Rotation of Conics
- Parametric Equations
- Polar Coordinates
- Graphs of Polar Equations
- Polar Equations of Conics
- Review Exercises
- Chapter Test
- P.S. Problem Solving
Appendix A
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