College Algebra
by Coburn, JohnBuy Used
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Summary
Table of Contents
| A Review of Basic Concepts and Skills | |
| The Language, Notation, and Numbers of Mathematics | |
| Algebraic Expressions and the Properties of Real Numbers | |
| Exponents, Scientific Notation, and a Review of Polynomials | |
| Factoring Polynomials | |
| Rational Expressions | |
| Radicals and Rational Exponents | |
| Equations and Inequalities | |
| Linear Equations, Formulas, and Problem Solving | |
| Linear Inequalities in One Variable | |
| Absolute Value Equations and Inequalities | |
| Complex Numbers | |
| Solving Quadratic Equations | |
| Solving Other Types of Equation | |
| Relations, Functions and Graphs | |
| Rectangular Coordinates; Graphing Circles and Relations | |
| Graphs of Linear Equations | |
| Linear Equations and Rates of Change | |
| Functions, Notation, and Graphs of Functions | |
| Analyzing the Graph of a Function | |
| Toolbox Functions and Transformations | |
| Piecewise-Defined Functions | |
| The Algebra and Composition of Functions | |
| Polynomial and Rational Functions | |
| Quadratic Functions and Applications | |
| Synthetic Division; The Remainder and Factor Theorems | |
| The Zeroes of Polynomial Functions | |
| Graphing Polynomial Functions | |
| Graphing Rational Functions | |
| Additional Insights into Rational Functions | |
| Polynomial and Rational Inequalities | |
| Variation: Function Models in Action | |
| Exponential and Logarithmic Functions | |
| One-to-One and Inverse Functions | |
| Exponential Functions | |
| Logarithms and Logarithmic Functions | |
| Properties of Logarithms; Solving Exponential and Logarithmic Equations | |
| Applications from Business, Finance, and Science | |
| Business, Finance, and Science Applications | |
| Systems of Equations and Inequalities | |
| Linear Systems in Two Variables with Applications | |
| Linear Systems in Three Variables with Applications | |
| Nonlinear Systems of Equations and Inequalities | |
| Systems of Inequalities and Linear Programming | |
| Matrices and Matrix Applications | |
| Solving Systems Using Matrices and Row Operations | |
| The Algebra of Matrices | |
| Solving Linear Systems Using Matrix Equations | |
| Applications of Matrices and Determinants: | |
| Analytical Geometry and Conic Sections | |
| Introduction to Analytic Geometry | |
| The Circle and the Ellipse | |
| The Hyperbola | |
| The Analytic Parabola | |
| Additional Topics in Algebra | |
| Sequences and Series | |
| Arithmetic Sequences | |
| Geometric Sequences | |
| Mathematical Induction | |
| Counting Techniques | |
| Introduction to Probability | |
| The Binomial Theorem | |
| Appendices | |
| More on Synthetic Division | |
| More on Matrices | |
| Deriving the Equation of a Conic | |
| Proof Positive | |
| A Selection of Proofs from College Algebra | |
| Table of Contents provided by Publisher. All Rights Reserved. |
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