Note: Each chapter concludes with a Chapter Summary, Review Exercises, a Chapter Test, Proofs in Mathematics, and P.S. Problem Solving | |
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 | |
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 | |
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 | |
Cumulative Test: Chapters 1–3 | |
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 | |
Analytic Trigonometry Using Fundamental | |
Identities Verifying Trigonometric | |
Identities Solving Trigonometric Equations | |
Sum and Difference Formulas | |
Multiple–Angle and Product–to–Sum Formulas | |
Law of Sines | |
Law of Cosines | |
Topics in Analytic Geometry | |
Lines Introduction to Conics: Parabolas Ellipses | |
Hyperbolas Parametric Equations | |
Polar Coordinates | |
Graphs of Polar Equations | |
Polar Equations of Conics | |
Cumulative Test: Chapters 4–6 | |
A Review of Fundamental Concepts of Algebra (web) | |
Real Numbers and Their Properties Exponents and Radicals Polynomials and Factoring Rational Expressions Solving Equations | |
Solving Inequalities Errors and the Algebra of Calculus | |
Concepts in Statistics (web) | |
Representing Data Measures of Central Tendency and Dispersion Least Squares Regression | |
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