Graphs | |
Rectangular Coordinates; Graphing Utilities | |
Graphs of Equations | |
Solving Equations Using a Graphing Utility | |
Lines | |
Circles | |
Chapter Review | |
Chapter Test | |
Chapter Project | |
Functions and Their Graphs | |
Functions | |
The Graph of a Function | |
Properties of Functions | |
Linear Functions and Models | |
Library of Functions; Piecewise-Defined Functions | |
Graphing Techniques: Transformations | |
Mathematical Models: Constructing Functions | |
Chapter Review | |
Chapter Test | |
Chapter Project | |
Cumulative Review | |
Polynomial and Rational Functions | |
Quadratic Functions and Models | |
Polynomial Functions and Models | |
Properties of Rational Functions | |
The Graph of a Rational Function; Inverse and Joint Variation | |
Polynomial and Rational Inequalities | |
The Real Zeros of a Polynomial Function | |
Complex Zeros: Fundamental Theorem of Algebra | |
Chapter Review | |
Chapter Test | |
Chapter Project | |
Cumulative Review | |
Exponential and Logarithmic Functions | |
Composite Functions | |
One-to-One Functions; Inverse Functions | |
Exponential Functions | |
Logarithmic Functions | |
Properties of Logarithms | |
Logarithmic and Exponential Equations | |
Compound Interest | |
Exponential Growth and Decay; Newton's Law; Logistic Growth and Decay | |
Building Exponential, Logarithmic, and Logistic Models from Data | |
Chapter Review | |
Chapter Test | |
Chapter Project | |
Cumulative Review | |
Trigonometric Functions | |
Angles and Their Measure | |
Trigonometric Functions: Unit Circle Approach | |
Properties of the Trigonometric Functions | |
Graphs of the Sine and Cosine Functions | |
Graphs of the Tangent, Cotangent, Cosecant, and Secant Functions | |
Phase Shift; Sinusoidal Curve Fitting | |
Chapter Review | |
Chapter Test | |
Chapter Project | |
Cumulative Review | |
Analytic Trigonometry | |
The Inverse Sine, Cosine, and Tangent Functions | |
The Inverse Trigonometric Functions (continued) | |
Trigonometric Identities | |
Sum and Difference Formulas | |
Double-Angle and Half-Angle Formulas | |
Product-to-Sum and Sum-to-Product Formulas | |
Trigonometric Equations I | |
Trigonometric Equations II | |
Chapter Review | |
Chapter Test | |
Chapter Project | |
Cumulative Review | |
Applications of Trigonometric Functions | |
Right Triangle Trigonometry; Solving Right Triangles | |
Law of Sines | |
Law of Cosines | |
Chapter Review | |
Chapter Test | |
Chapter Project | |
Cumulative Review | |
Polar Coordinates; Vectors | |
Polar Coordinates | |
Polar Equations and Graphs | |
Chapter Review | |
Chapter Test | |
Chapter Project | |
Cumulative Review | |
Analytic Geometry | |
Plane Curves and Parametric Equations | |
Chapter Review | |
Chapter Test | |
Chapter Project | |
Cumulative Review | |
Systems of Equations and Inequalities | |
Systems of Linear Equations: Substitution and Elimination | |
Systems of Inequalities | |
Chapter Review | |
Chapter Test | |
Chapter Project | |
Cumulative Review | |
Sequences; Induction; The Binomial Theorem | |
Sequences | |
Arithmetic Sequences | |
Geometric Sequences; Geometric Series | |
Chapter Test | |
Chapter Project | |
Cumulative Review | |
Appendix Review | |
Algebra Review | |
Geometry Review | |
Polynomials and Rational Expressions | |
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