Prerequisites and Review | |
Real Numbers | |
Integer Exponents and Scientific Notation | |
Polynomials: Basic Operations | |
Factoring Polynomials | |
Rational Expressions | |
Rational Exponents and Radicals | |
Complex Numbers | |
Equations and Inequalities | |
Linear Equations | |
Applications Involving Linear Equations | |
Quadratic Equations | |
Other Types of Equations | |
Linear Inequalities | |
Polynomial and Rational Inequalities | |
Absolute Value Equations and Inequalities | |
Graphs | |
Basic Tools: Cartesian Plane, Distance, and Midpoint | |
Graphing Equations: Point-Plotting, Intercepts, and Symmetry | |
Lines | |
Circles | |
Functions and Their Graphs | |
Functions | |
Graphs of Functions | |
Piecewise-Defined Functions | |
Increasing and Decreasing Functions | |
Average Rate of Change | |
Graphing Techniques: Transformations | |
Operations on Functions and Composition of Functions | |
One-to-One Functions and Inverse Functions | |
Modeling Functions Using Variation | |
Polynomial and Rational Functions | |
Quadratic Functions | |
Polynomial Functions of Higher Degree | |
Dividing Polynomials: Long Division and Synthetic Division | |
The Real Zeros of a Polynomial Function | |
Complex Zeros: The Fundamental Theorem of Algebra | |
Rational Functions | |
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 | |
Systems of Linear Equations and Inequalities | |
Systems of Linear Equations in Two Variables | |
Systems of Linear Equations in Three Variables | |
Partial Fractions | |
Systems of Linear Inequalities in Two Variables | |
The Linear Programming Model | |
Matrices | |
Matrices and Systems of Linear Equations | |
Matrix Algebra | |
Matrix Equations the Inverse of a Square Matrix | |
The Determinant of a Square Matrix and CramerâÇÖs Rule | |
Conics and Systems of Nonlinear Equations and Inequalities | |
Conic Basics | |
The Parabola | |
The Ellipse | |
The Hyperbola | |
Systems of Nonlinear Equations | |
Systems of Nonlinear Inequalities | |
Sequences, Series, and Probability | |
Sequences and Series | |
Arithmetic Sequences and Series | |
Geometric Sequences and Series | |
Mathematical Induction | |
The Binomial Theorem | |
Counting, Permutations, and Combinations | |
Probability | |
Trigonometric Functions | |
Radian Measure and Applications | |
Trigonometric Functions: The Unit Circle Approach | |
Graphs of Sine and Cosine Functions | |
Answers to Odd Numbered Exercises | |
Applications Index | |
Subject Index | |
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