9780321056580

College Algebra

by
  • ISBN13:

    9780321056580

  • ISBN10:

    0321056582

  • Edition: 8th
  • Format: Hardcover
  • Copyright: 1/1/2001
  • Publisher: Addison Wesley
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Summary

This book, intended for a graphing calculator optional college algebra course, offers students the content and tools they will need to successfully learn college algebra. The authors have addressed the needs of students who will continue their study of mathematics as well as those who are taking college algebra as their final mathematics course. Emphasis is placed on exploring mathematical concepts by using real data, current applications and optional technology.

Table of Contents

Preface vii
Algebraic Expressions
Real Numbers and Their Properties
2(14)
Order and Absolute Value
16(9)
Polynomials; The Binomial Theorem
25(12)
Factoring Polynomials
37(7)
Rational Expressions
44(9)
Rational Exponents
53(11)
Radical Expressions
64(20)
Summary
75(3)
Review Exercises
78(3)
Test
81(1)
Internet Project The NFL Quarterback Rating System
82(2)
Equations and Inequalities
Linear Equations
84(7)
Linear Applications and Modeling
91(12)
Complex Numbers
103(7)
Quadratic Equations
110(10)
Quadratic Applications and Modeling
120(9)
Other Types of Equations
129(9)
Inequalities
138(10)
Absolute Value Equations and Inequalities
148(17)
Summary
155(1)
Review Exercises
156(4)
Test
160(2)
Internet Project Protecting Our Environment
162(3)
Relations, Functions, and Graphs
Relations and the Rectangular Coordinate System; Circles
165(15)
Functions
180(15)
Linear Functions
195(13)
Equations of Lines; Curve Fitting
208(12)
Graphs of Relations and Functions
220(13)
General Graphing Techniques
233(16)
Operations and Composition
249(21)
Summary
258(3)
Review Exercises
261(4)
Test
265(3)
Internet Project Modeling the Drift of Whittier, California
268(2)
Polynomial and Rational Functions
Quadratic Functions; Curve Fitting
270(14)
Synthetic Division
284(7)
Zeros of Polynomial Functions
291(11)
Polynomial Functions: Graphs, Applications, and Models
302(14)
Rational Functions: Graphs, Applications, and Models
316(14)
Variation
330(16)
Summary
337(1)
Review Exercises
338(4)
Test
342(2)
Internet Project Polynomial Modeling of Social Security Numbers
344(2)
Exponential and Logarithmic Functions
Inverse Functions
346(12)
Exponential Functions
358(16)
Logarithmic Functions
374(10)
Evaluating Logarithms and the Change-of-Base Theorem
384(11)
Exponential and Logarithmic Equations
395(10)
Applications and Models of Exponential Growth and Decay
405(19)
Summary
415(1)
Review Exercises
416(4)
Test
420(2)
Internet Project Modeling Growth of Internet Hosts
422(2)
Systems of Equations and Inequalities
Linear Systems of Equations
424(17)
Matrix Solution of Linear Systems
441(10)
Determinant Solution of Linear Systems
451(12)
Partial Fractions
463(6)
Nonlinear Systems of Equations
469(10)
Systems of Inequalities and Linear Programming
479(11)
Properties of Matrices
490(14)
Matrix Inverses
504(23)
Summary
516(2)
Review Exercises
518(4)
Test
522(1)
Internet Project A Topic from Numerical Analysis
523(4)
Analytic Geometry
Parabolas
527(9)
Ellipses
536(11)
Hyperbolas
547(10)
Summary of the Conic Sections
557(15)
Summary
566(1)
Review Exercises
566(3)
Test
569(1)
Internet Project Modeling the Path of a Bouncing Ball
570(2)
Further Topics in Algebra
Sequences and Series
572(10)
Arithmetic Sequences and Series
582(8)
Geometric Sequences and Series
590(9)
The Binomial Theorem Revisited
599(7)
Mathematical Induction
606(7)
Counting Theory
613(10)
Basics of Probability
623(16)
Summary
633(2)
Review Exercises
635(2)
Test
637(1)
Internet Project Simulating Experiments Using Random Number Generators
638(1)
Appendix Sets 639
Answers to Selected Exercises 1(1)
Index 1(8)
Index of Applications 9

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