9780618052844

College Algebra

by
  • ISBN13:

    9780618052844

  • ISBN10:

    0618052844

  • Edition: 5th
  • Format: Hardcover
  • Copyright: 2000-06-08
  • Publisher: Brooks Cole
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Table of Contents

A Word from the Authors (Preface) ix
Features Highlights xii
An Introduction to Graphing Utilities xviii
Prerequisites
1(75)
Real Numbers
2(10)
Exponents and Radicals
12(13)
Polynomials and Special Products
25(9)
Factoring
34(8)
Rational Expressions
42(11)
Errors and the Algebra of Calculus
53(7)
Graphical Representation of Data
60(16)
Summary
70(1)
Review Exercises
71(3)
Project: Numerically Finding a Maximum Volume
74(1)
Test
75(1)
Equations and Inequalities
76(94)
Graphs of Equations
78(10)
Linear Equations in One Variable
88(10)
Modeling with Linear Equations
98(12)
Quadratic Equations
110(14)
Complex Numbers
124(7)
Other Types of Equations
131(12)
Linear Inequalities
143(10)
Other Types of Inequalities
153(17)
Summary
163(1)
Review Exercises
164(4)
Project: Finding Falling Times Numerically
168(1)
Test
169(1)
Functions and Their Graphs
170(82)
Linear Equations in Two Variables
172(15)
Functions
187(14)
Analyzing Graphs of Functions
201(13)
Shifting, Reflecting, and Stretching Graphs
214(11)
Combinations of Functions
225(8)
Inverse Functions
233(19)
Summary
243(1)
Review Exercises
244(4)
Project: A Graphical Approach to Maximization
248(1)
Test
249(1)
Cumulative Test: Chapters P--2
250(2)
Polynomial Functions
252(70)
Quadratic Functions
254(11)
Polynomial Functions of Higher Degree
265(13)
Polynomial and Synthetic Division
278(10)
Zeros of Polynomial Functions
288(15)
Mathematical Modeling
303(19)
Summary
315(1)
Review Exercises
316(4)
Project: Finding Points of Intersection Graphically
320(1)
Test
321(1)
Rational Functions and Conics
322(56)
Rational Functions and Asymptotes
324(9)
Graphs of Rational Functions
333(9)
Partial Fractions
342(8)
Conics
350(13)
Translations of Conics
363(15)
Summary
371(1)
Review Exercises
372(4)
Project: Graphical Approach to Finding Average Cost
376(1)
Test
377(1)
Exponential and Logarithmic Functions
378(64)
Exponential Functions and Their Graphs
380(12)
Logarithmic Functions and Their Graphs
392(11)
Properties of Logarithms
403(6)
Exponential and Logarithmic Equations
409(11)
Exponential and Logarithmic Models
420(22)
Summary
433(1)
Review Exercises
434(4)
Project: Graphical Approach to Compound Interest
438(1)
Test
439(1)
Cumulative Test: Chapters 3--5
440(2)
Systems of Equations and Inequalities
442(66)
Solving Systems of Equations
444(11)
Two-Variable Linear Systems
455(12)
Multivariable Linear Systems
467(13)
Systems of Inequalities
480(11)
Linear Programming
491(17)
Summary
501(1)
Review Exercises
502(4)
Project: Fitting Models to Data
506(1)
Test
507(1)
Matrices and Determinants
508(68)
Matrices and Systems of Equations
510(15)
Operations with Matrices
525(14)
The Inverse of a Square Matrix
539(9)
The Determinant of a Square Matrix
548(8)
Applications of Matrices and Determinants
556(20)
Summary
568(1)
Review Exercises
569(5)
Project: Solving Systems of Equations
574(1)
Test
575(1)
Sequences, Series, and Probability
576(2)
Sequences and Series
578(11)
Arithmetic Sequences and Partial Sums
589(9)
Geometric Sequences and Series
598(10)
Mathematical Induction
608(10)
The Binomial Theorem
618(8)
Counting Principles
626(10)
Probability
636(13)
Summary
649(1)
Review Exercises
650(4)
Project: Exploring Difference Quotients
654(1)
Test
655(1)
Cumulative Test: Chapters 6--8
656
Appendices
Appendix A Proofs of Selected Theorems
1(6)
Appendix B Concepts in Statistics
7(18)
B.1 Representing Data
7(4)
B.2 Measures of Central Tendency and Dispersion
11(9)
B.3 Least Squares Regression
20(5)
Answers to Odd-Numbered Exercises and Tests 25(92)
Index of Applications 117(3)
Index 120

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