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College Algebra,9780131013650
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College Algebra

by
Edition:
3rd
ISBN13:

9780131013650

ISBN10:
0131013653
Format:
Hardcover
Pub. Date:
1/1/2004
Publisher(s):
Prentice Hall
List Price: $116.00

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Summary

This book presents the traditional content of Precalculus in a manner that answers the age-old question of "When will I ever use this?" Highlighting truly relevant applications, this book presents the material in an easy to teach from/easy to learn from approach.KEY TOPICS Chapter topics include equations, inequalities, and mathematical models; functions and graphs; polynomial and rational functions; exponential and logarithmic functions; systems of equations and inequalities; matrices and determinants; conic sections; and sequences, induction, and probability. For engineers of every kind, manufacturing personnel, technologists, technicians, and technical marketing professionals.

Table of Contents

Preface vii
To the Student xii
Applications Index xx
Prerequisites: Fundamental Concepts of Algebra
1(74)
Real Numbers and Algebraic Expressions
2(11)
Exponents and Scientific Notation
13(11)
Radicals and Rational Exponents
24(12)
Polynomials
36(12)
Factoring Polynomials
48(11)
Rational Expressions
59(16)
Summary
71(1)
Review Exercises or Algebra Skills Diagnostic Test
71(2)
Chapter P Test
73(2)
Equations, Inequalities, and Mathematical Models
75(100)
Graphs and Graphing Utilities
76(8)
Linear Equations
84(11)
Formulas and Applications
95(13)
Complex Numbers
108(6)
Quadratic Equations
114(17)
Other Types of Equations
131(13)
Linear Inequalities
144(13)
Quadratic and Rational Inequalities
157(18)
Summary
168(2)
Review Exercises
170(3)
Chapter 1 Test
173(2)
Functions and Graphs
175(104)
Lines and Slope
176(17)
Distance and Midpoint Formulas; Circles
193(8)
Basics of Functions
201(13)
Graphs of Functions
214(21)
Transformations of Functions
235(13)
Combinations of Functions; Composite Functions
248(12)
Inverse Functions
260(19)
Summary
270(2)
Review Exercises
272(4)
Chapter 2 Test
276(2)
Cumulative Review Exercises
278(1)
Polynomial and Rational Functions
279(94)
Quadratic Functions
280(13)
Polynomial Functions and Their Graphs
293(11)
Dividing Polynomials: Remainder and Factor Theorems
304(11)
Zeros of Polynomial Functions
315(10)
More on Zeros of Polynomial Functions
325(10)
Rational Functions and Their Graphs
335(18)
Modeling Using Variation
353(20)
Summary
366(2)
Review Exercises
368(3)
Chapter 3 Test
371(1)
Cumulative Review Exercises
372(1)
Exponential and Logarithmic Functions
373(65)
Exponential Functions
374(11)
Logarithmic Functions
385(13)
Properties of Logarithms
398(9)
Exponential and Logarithmic Equations
407(11)
Modeling with Exponential and Logarithmic Functions
418(20)
Summary
432(1)
Review Exercises
433(4)
Chapter 4 Test
437(1)
Cumulative Review Exercises
437(1)
Systems of Equations and Inequalities
438(70)
Systems of Linear Equations in Two Variables
439(17)
Systems of Linear Equations in Three Variables
456(9)
Partial Fractions
465(9)
Systems of Nonlinear Equations in Two Variables
474(9)
Systems of Inequalities
483(10)
Linear Programming
493(15)
Summary
502(1)
Review Exercises
503(3)
Chapter 5 Test
506(1)
Cumulative Review Exercises
507(1)
Matrices and Determinants
508(73)
Matrix Solutions to Linear Systems
509(14)
Inconsistent and Dependent Systems and Their Applications
523(9)
Matrix Operations and Their Applications
532(15)
Multiplicative Inverses of Matrices and Matrix Equations
547(15)
Determinants and Cramer's Rule
562(19)
Summary
575(1)
Review Exercises
576(3)
Chapter 6 Test
579(1)
Cumulative Review Exercises
579(2)
Conic Sections and Analytic Geometry
581(48)
The Ellipse
582(13)
The Hyperbola
595(16)
The Parabola
611(18)
Summary
625(1)
Review Exercises
626(1)
Chapter 10 Test
627(1)
Cumulative Review Exercises
628(1)
Sequences, Induction, and Probability
629(1)
Sequences and Summation Notation
630(11)
Arithmetic Sequences
641(9)
Geometric Sequences
650(14)
Mathematical Induction
664(9)
The Binomial Theorem
673(8)
Counting Principles, Permutations, and Combinations
681(11)
Probability
692(13)
Summary
705(2)
Review Exercises
707(3)
Chapter 8 Test
710(1)
Cumulative Review Exercises
711
Appendix Where Did That Come From? Selected Proofs 1(1)
Answers to Selected Exercises 1(1)
Subject Index 1(1)
Photo Credits 1


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