9780133999402

College Algebra

by
  • ISBN13:

    9780133999402

  • ISBN10:

    0133999408

  • Edition: 1st
  • Format: Hardcover
  • Copyright: 10/1/1997
  • Publisher: Prentice Hall Professional Technical Reference
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Summary

Utilizing the pedagogy and writing style of his successful Developmental Math series, Blitzer introduces his College Algebra text. Extensive optional graphing, group work and internet projects are integrated throughout.

Table of Contents

Preface ix(12)
To the Student xxi
CHAPTER P Prerequisites: Fundamental Concepts of Algebra
1(106)
P.1 The Real Number System
2(11)
P.2 Properties of Algebraic Expressions; Exponents
13(15)
P.3 Graphs and Graphing Utilities
28(14)
P.4 Radicals and Rational Exponents
42(13)
P.5 Polynomials
55(10)
P.6 Factoring
65(13)
P.7 Rational Expressions
78(12)
P.8 Complex Numbers
90(10)
Chapter Project
100(1)
Summary
101(1)
Review Problems
102(3)
Chapter Test
105(2)
CHAPTER 1 Equations, Inequalities, and Mathematical Models
107(104)
1.1 Linear Equations
108(14)
1.2 Quadratic Equations
122(14)
1.3 Linear and Quadratic Modeling
136(23)
1.4 Other Types of Equations
159(15)
1.5 Linear Inequalities
174(12)
1.6 Polynomial and Rational Inequalities
186(15)
Chapter Project
201(1)
Summary
202(2)
Review Problems
204(5)
Chapter Test
209(2)
CHAPTER 2 Functions and Graphs
211(116)
2.1 Introduction to Functions
212(11)
2.2 Linear Functions and Slope
223(19)
2.3 Graphs of Relations and Functions
242(15)
2.4 Increasing and Decreasing Functions; Extreme Values
257(12)
2.5 Transformations of Functions
269(18)
2.6 Combinations of Functions
287(13)
2.7 Inverse Functions
300(13)
Chapter Project
313(1)
Summary
314(2)
Review Problems
316(7)
Chapter Test
323(2)
Cumulative Review Problems (Chapters P-2)
325(2)
CHAPTER 3 Modeling with Polynomial and Rational Functions
327(104)
3.1 Quadratic Functions
328(15)
3.2 Polynomial Functions of Higher Degree and Polynomial Variation
343(16)
3.3 Zeros of Polynomial Functions
359(19)
3.4 More on Zeros of Polynomial Functions
378(14)
3.5 Graphing Rational Functions
392(17)
3.6 Modeling with Rational Functions and Inverse Variation
409(11)
Chapter Project
420(1)
Summary
421(2)
Review Problems
423(5)
Chapter Test
428(1)
Cumulative Review Problems (Chapters P-3)
429(2)
CHAPTER 4 Exponential and Logarithmic Functions
431(88)
4.1 Exponential Functions
432(17)
4.2 Logarithmic Functions
449(17)
4.3 Properties of Logarithmic Functions
466(11)
4.4 Exponential and Logarithmic Equations
477(16)
4.5 Modeling with Exponential and Logarithmic Functions
493(15)
Chapter Project
508(1)
Summary
509(2)
Review Problems
511(5)
Chapter Test
516(1)
Cumulative Review Problems (Chapters P-4)
517(2)
CHAPTER 5 Matrices and Linear Systems
519(148)
5.1 Solving Linear Systems Using Substitution and Addition
520(20)
5.2 Matrix Solutions to Linear Systems
540(18)
5.3 Inconsistent and Dependent Systems and Their Applications
558(9)
5.4 Matrix Operations and Their Applications
567(20)
5.5 Inverses of Matrices
587(18)
5.6 Determinants and Cramer's Rule
605(18)
5.7 Partial Fractions
623(14)
5.8 Systems of Linear Inequalities and Linear Programming
637(18)
Chapter Project
655(2)
Summary
657(2)
Review Problems
659(4)
Chapter Test
663(1)
Cumulative Review Problems (Chapters P-5)
664(3)
CHAPTER 6 Conic Sections and Nonlinear Systems
667(90)
6.1 The Ellipse
668(20)
6.2 The Hyperbola
688(19)
6.3 The Parabola
707(19)
6.4 Nonlinear Systems
726(20)
Chapter Project
746(2)
Summary
748(2)
Review Problems
750(3)
Chapter Test
753(1)
Cumulative Review Problems (Chapters P-6)
754(3)
CHAPTER 7 Sequences, Series, and Probability
757
7.1 Sequences and Series
758(17)
7.2 Arithmetic Sequences and Series
775(10)
7.3 Geometric Sequences and Series
785(20)
7.4 Mathematical Induction
805(10)
7.5 The Binomial Theorem
815(8)
7.6 Counting Principles, Permutations, and Combinations
823(14)
7.7 An Introduction to Probability
837(15)
Chapter Project
852(1)
Summary
853(1)
Review Problems
854(5)
Chapter Test
859
APPENDIX Review Problems Covering the Entire Book A1
Answers to Selected Exercises AA1
Index I-1
Index of Applications Inside front cover
Definitions, Rules, and Formulas Inside back cover

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