College algebra (8th ed )

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Language: Anglais
Cover of the book College algebra (8th ed )

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840 p. · 21.6x27.9 cm · Paperback

KEY BENEFIT: The Eighth Edition of this highly dependable book retains its best features-accuracy, precision, depth, and abundant exercise sets-while substantially updating its content and pedagogy. Striving to teach mathematics as a way of life, Sullivan provides understandable, realistic applications that are consistent with the abilities of most readers. KEY TOPICS: Chapter topics include Graphs Polynomial and Rational Functions Conics Systems of Equations and Inequalities Exponential and Logarithmic Functions Counting and Probability and more. MARKET: For individuals with an interest in learning algebra as it applies to their everyday lives.

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