| |
| |
| |
Basic Concepts | |
| |
| |
| |
The Real Number System | |
| |
| |
| |
Arithmetic and Properties of Real Numbers | |
| |
| |
| |
Exponents | |
| |
| |
| |
Scientific Notation | |
| |
| |
| |
Solving Equations | |
| |
| |
| |
Using Equations to Solve Problems | |
| |
| |
| |
More Applications of Equations | |
| |
| |
Projects | |
| |
| |
Chapter Summary | |
| |
| |
Chapter Test | |
| |
| |
| |
Graphs, Equations of Lines, and Functions | |
| |
| |
| |
Graphing Linear Equations | |
| |
| |
| |
Slope of a Nonvertical Line | |
| |
| |
| |
Writing Equations of Lines | |
| |
| |
| |
Introduction to Functions | |
| |
| |
| |
Graphs of Other Functions | |
| |
| |
Projects | |
| |
| |
Chapter Summary | |
| |
| |
Chapter Test | |
| |
| |
Cumulative Review Exercises | |
| |
| |
| |
Systems of Equations | |
| |
| |
| |
Solutions by Graphing | |
| |
| |
| |
Solution by Elimination | |
| |
| |
| |
Solutions of Three Equations in Three Variables | |
| |
| |
| |
Solution by Matrices | |
| |
| |
| |
Solution by Determinants | |
| |
| |
Projects | |
| |
| |
Chapter Summary | |
| |
| |
Chapter Test | |
| |
| |
| |
Inequalities | |
| |
| |
| |
Linear Inequalities | |
| |
| |
| |
Equations and Inequalities with Absolute Values | |
| |
| |
| |
Linear Inequalities in Two Variables | |
| |
| |
| |
Systems of Inequalities | |
| |
| |
| |
Linear Programming | |
| |
| |
Projects | |
| |
| |
Chapter Summary | |
| |
| |
Chapter Test | |
| |
| |
Cumulative Review Exercises | |
| |
| |
| |
Polynomials and Polynomial Functions | |
| |
| |
| |
Polynomials and Polynomial Functions | |
| |
| |
| |
Adding and Subtracting Polynomials | |
| |
| |
| |
Multiplying Polynomials | |
| |
| |
| |
The Greatest Common Factor and Factoring by Grouping | |
| |
| |
| |
The Difference of Two Squares; the Sum and Difference of Two Cubes | |
| |
| |
| |
Factoring Trinomials | |
| |
| |
| |
Summary of Factoring Techniques | |
| |
| |
| |
Solving Equations by Factoring | |
| |
| |
Projects | |
| |
| |
Chapter Summary | |
| |
| |
Chapter Test | |
| |
| |
| |
Rational Expressions | |
| |
| |
| |
Rational Functions and Simplifying Rational Expressions | |
| |
| |
| |
Proportion and Variation | |
| |
| |
| |
Multiplying and Dividing Rational Expressions | |
| |
| |
| |
Adding and Subtracting Rational Expressions | |
| |
| |
| |
Complex Fractions | |
| |
| |
| |
Equations Containing Rational Expressions | |
| |
| |
| |
Dividing Polynomials | |
| |
| |
Projects | |
| |
| |
Chapter Summary | |
| |
| |
Chapter Test | |
| |
| |
Cumulative Review Exercises | |
| |
| |
| |
Radicals and Rational Exponents | |
| |
| |
| |
Radical Expressions | |
| |
| |
| |
Applications of Radicals | |
| |
| |
| |
Rational Exponents | |
| |
| |
| |
Simplifying and Combining Radical Expressions | |
| |
| |
| |
Multiplying and Dividing Radical Expressions | |
| |
| |
| |
Radical Equations | |
| |
| |
Projects | |
| |
| |
Chapter Summary | |
| |
| |
Chapter Test | |
| |
| |
| |
Quadratic Functions and Inequalities | |
| |
| |
| |
Completing the Square and the Quadratic Formula | |
| |
| |
| |
Graphs of Quadratic Functions | |
| |
| |
| |
Complex Numbers | |
| |
| |
| |
The Discriminant and Equations That Can Be Written in Quadratic Form | |
| |
| |
| |
Quadratic and Other Nonlinear Inequalities | |
| |
| |
Projects | |
| |
| |
Chapter Summary | |
| |
| |
Chapter Test | |
| |
| |
Cumulative Review Exercises | |
| |
| |
| |
More Functions and Operations on Functions | |
| |
| |
| |
Symmetry and Stretchings of Graphs | |
| |
| |
| |
Piecewise-Defined Functions and the Greatest Integer Function | |
| |
| |
| |
More Rational Functions | |
| |
| |
| |
Partial Fractions | |
| |
| |
| |
Algebra and Composition of Functions | |
| |
| |
| |
Inverses of Functions | |
| |
| |
Projects | |
| |
| |
Chapter Summary | |
| |
| |
Chapter Test | |
| |
| |
| |
Exponential and Logarithmic Functions | |
| |
| |
| |
Exponential Functions | |
| |
| |
| |
Base-e Exponential Functions | |
| |
| |
| |
Logarithmic Functions | |
| |
| |
| |
Base-e Logarithms | |
| |
| |
| |
Properties of Logarithms | |
| |
| |
| |
Exponential and Logarithmic Equations | |
| |
| |
Projects | |
| |
| |
Chapter Summary | |
| |
| |
Chapter Test | |
| |
| |
Cumulative Review Exercises | |
| |
| |
| |
Solving Polynomial Equations | |
| |
| |
| |
The Remainder and Factor Theorems; Synthetic Division | |
| |
| |
| |
Descartes' Rule of Signs and Bounds on Roots | |
| |
| |
| |
Rational Roots of Polynomial Equations | |
| |
| |
| |
Irrational Roots of Polynomial Equations | |
| |
| |
Projects | |
| |
| |
Chapter Summary | |
| |
| |
Chapter Test | |
| |
| |
| |
Conic Sections and Quadratic Systems | |
| |
| |
| |
The Circle | |
| |
| |
| |
The Parabola | |
| |
| |
| |
The Ellipse | |
| |
| |
| |
The Hyperbola | |
| |
| |
| |
Solving Simultaneous Second-Degree Equations | |
| |
| |
Projects | |
| |
| |
Chapter Summary | |
| |
| |
Chapter Test | |
| |
| |
Cumulative Review Exercises | |
| |
| |
| |
Natural Number Functions and Probability | |
| |
| |
| |
The Binomial Theorem | |
| |
| |
| |
Sequences, Series, and Summation Notation | |
| |
| |
| |
Arithmetic Sequences | |
| |
| |
| |
Geometric Sequences | |
| |
| |
| |
Mathematical Induction | |
| |
| |
| |
Permutations and Combinations | |
| |
| |
| |
Probability | |
| |
| |
| |
Computation of Compound Probabilities | |
| |
| |
| |
Odds and Mathematical Expectation | |
| |
| |
Projects | |
| |
| |
Chapter Summary | |
| |
| |
Chapter Test | |
| |
| |
Cumulative Review Exercises | |
| |
| |
| |
Matrix Algebra | |
| |
| |
| |
Matrix Algebra | |
| |
| |
| |
Matrix Inversion | |
| |
| |
| |
Tables | |
| |
| |
| |
Powers and Roots | |
| |
| |
| |
Base-10 Logarithms | |
| |
| |
| |
Base-e Logarithms | |
| |
| |
| |
Answers to Selected Exercises | |
| |
| |
Index | |