College algebra
著者
書誌事項
College algebra
Pearson/Prentice Hall, c2008
8th ed
- : set
- : CD-ROM
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注記
Includes index
内容説明・目次
内容説明
The Eighth Edition of this dependable text retains its best features - accuracy, precision, depth, strong student support, and abundant exercises - while substantially updating content and pedagogy. After completing the book, students will be prepared to handle the algebra found in subsequent courses such as finite mathematics, business mathematics, and engineering calculus.
目次
- TABLE OF CONTENTS Chapter R Review R.1 Real Numbers R.2 Algebra Essentials R.3 Geometry Essentials R.4 Polynomials R.5 Factoring Polynomials R.6 Synthetic Division R.7 Rational Expressions R.8 nth Roots
- Rational Exponents Chapter 1 Equations and Inequalities 1.1 Linear Equations 1.2 Quadratic Equations 1.3 Complex Numbers
- Quadratic Equations in the Complex Number System 1.4 Radical Equations
- Equations Quadratic in Form
- Factorable Equations 1.5 Solving Inequalities 1.6 Equations and Inequalities Involving Absolute Value 1.7 Problem Solving: Interest, Mixture, Uniform Motion, and Constant Rate Job Applications Chapter 2 Graphs 2.1 The Distance and Midpoint Formulas 2.2 Graphs of Equations in Two Variables
- Intercepts
- Symmetry 2.3 Lines 2.4 Circles 2.5 Variation Chapter 3 Functions and Their Graphs 3.1 Functions 3.2 The Graph of a Function 3.3 Properties of Functions 3.4 Library of Functions
- Piecewise-defined Functions 3.5 Graphing Techniques: Transformations 3.6 Mathematical Models: Building Functions Chapter 4 Linear and Quadratic Functions 4.1 Linear Functions and Their Properties 4.2 Building Linear Functions from Data 4.3 Quadratic Functions and Their Properties 4.4 Quadratic Models
- Building Quadratic Functions from Data 4.5 Inequalities Involving QuadraticFunctions Chapter 5 Polynomial and Rational Functions 5.1 Polynomial Functions and Models 5.2 Properties of Rational Functions 5.3 The Graph of a Rational Function 5.4 Polynomial and Rational Inequalities 5.5 The Real Zeros of a Polynomial Function 5.6 Complex Zeros: Fundamental Theorem of Algebra Chapter 6 Exponential and Logarithmic Functions 6.1 Composite Functions 6.2 One-to-One Functions
- Inverse Functions 6.3 Exponential Functions 6.4 Logarithmic Functions 6.5 Properties of Logarithms 6.6 Logarithmic and Exponential Equations 6.7 Compound Interest 6.8 Exponential Growth and Decay Models
- Newton's Law
- Logistic Growth and Decay Models 6.9 Building Exponential, Logarithmic, and Logistic Functions from Data Chapter 7 Analytic Geometry 7.1 Conics 7.2 The Parabola 7.3 The Ellipse 7.4 The Hyperbola Chapter 8 Systems of Equations and Inequalities 8.1 Systems of Linear Equations: Substitution and Elimination 8.2 Systems of Linear Equations: Matrices 8.3 Systems of Linear Equations: Determinants 8.4 Matrix Algebra 8.5 Partial Fraction Decomposition 8.6 Systems of Nonlinear Equations 8.7 Systems of Inequalities 8.8 Linear Programming Chapter 9 Sequences
- Induction
- the Binomial Theorem 9.1 Sequences 9.2 Arithmetic Sequences 9.3 Geometric Sequences
- Geometric Series 9.4 Mathematical Induction 9.5 The Binomial Theorem Chapter 10 Counting and Probability 10.1 Sets and Counting 10.2 Permutations and Combinations 10.3 Probability Appendix Graphing Utilities 1 The Viewing Rectangle 2 Graphing Equations in Two Variables 3 Locating Intercepts and Checking for Symmetry 4 Solving Equations Using a Graphing Utility 5 Square Screens 6 Graphing Inequalities in Two Variables 7 Solving Systems of Linear Equations 8 Graphing a Polar Equation 9 Graphing Parametric Equations
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