College Algebra (with CD),9780534390495

College Algebra (with CD)

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ISBN13: 9780534390495
ISBN10: 0534390498
Format: Hardcover
Pub. Date: 2001-08-16
Publisher(s): Brooks Cole
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Summary

Clearly written and comprehensive, the seventh edition of Gustafson and Frisk's popular book provides in-depth and precise coverage that is incorporated into a framework of tested teaching strategy. Gustafson and Frisk, both career mathematics educators, combine carefully selected pedagogical features and patient explanation to give students a book that preserves the integrity of mathematics, yet does not discourage them with material that is confusing or too rigorous. Long respected for its ability to help students quickly master difficult problems, this book also helps them develop the skills they'll need in future courses and in everyday life.

Table of Contents

Prerequisites for College Algebra
1(74)
Sets of Real Numbers
2(11)
Integer Exponents and Scientific Notation
13(11)
Rational Exponents and Radicals
24(11)
Polynomials
35(11)
Factoring Polynomials
46(9)
Algebraic Fractions
55(20)
Problems and Projects
65(3)
Chapter Summary
68(5)
Chapter Test
73(2)
Equations and Inequalities
75(78)
Equations
76(8)
Applications of Linear Equations
84(9)
Quadratic Equations
93(10)
Applications of Quadratic Equations
103(7)
Complex Numbers
110(9)
Polynomial and Radical Equations
119(6)
Inequalities
125(12)
Absolute Value
137(16)
Problems and Projects
144(1)
Chapter Summary
145(4)
Chapter Test
149(1)
Cumulative Review Exercises
150(3)
The Rectangular Coordinate System and Graphs of Equations
153(71)
The Rectangular Coordinate System
154(15)
The Slope of a Nonvertical Line
169(11)
Writing Equations of Lines
180(12)
Graphs of Equations
192(15)
Proportion and Variation
207(17)
Problems and Projects
215(1)
Chapter Summary
216(6)
Chapter Test
222(2)
Functions
224(82)
Functions and Function Notation
225(11)
Quadratic Functions
236(10)
Polynomial and Other Functions
246(9)
Translating and Stretching Graphs
255(10)
Rational Functions
265(14)
Operations on Functions
279(10)
Inverse Functions
289(17)
Problems and Projects
297(1)
Chapter Summary
298(4)
Chapter Test
302(2)
Cumulative Review Exercises
304(2)
Exponential and Logarithmic Functions
306(59)
Exponential Functions and Their Graphs
307(12)
Applications of Exponential Functions
319(6)
Logarithmic Functions and Their Graphs
325(10)
Applications of Logarithmic Functions
335(5)
Properties of Logarithms
340(10)
Exponential and Logarithmic Equations
350(15)
Problems and Projects
357(2)
Chapter Summary
359(4)
Chapter Test
363(2)
Solving Polynomial Equations
365(35)
The Remainder and Factor Theorems; Synthetic Division
366(9)
Descartes' Rule of Sings and Bounds on Roots
375(6)
Rational Roots of Polynomial Equations
381(8)
Irrational Roots of Polynomial Equations
389(11)
Problems and Projects
394(1)
Chapter Summary
395(3)
Chapter Test
398(1)
Cumulative Review Exercises
398(2)
Linear Systems
400(87)
Systems of Linear Equations
401(12)
Gaussian Elimination and Matrix Methods
413(10)
Matrix Algebra
423(13)
Matrix Inversion
436(7)
Determinants
443(13)
Partial Fractions
456(7)
Graphs of Linear Inequalities
463(6)
Linear Programming
469(18)
Problems and Projects
478(2)
Chapter Summary
480(5)
Chapter Test
485(2)
Conic Sections and Quadratic Systems
487(48)
The Circle and the Parabola
488(13)
The Ellipse
501(11)
The Hyperbola
512(9)
Solving Simultaneous Second-Degree Equations
521(14)
Problems and Projects
526(2)
Chapter Summary
528(4)
Chapter Test
532(1)
Cumulative Review Exercises
533(2)
Natural-Number Functions and Probability
535(62)
The Binomial Theorem
536(5)
Sequences, Series, and Summation Notation
541(7)
Arithmetic Sequences
548(5)
Geometric Sequences
553(8)
Mathematical Induction
561(5)
Permutations and Combinations
566(9)
Probability
575(6)
Computation of Compound Probabilities
581(5)
Odds and Mathematical Expectation
586(11)
Problems and Projects
589(2)
Chapter Summary
591(4)
Chapter Test
595(2)
The Mathematics of Finance
597
Compound Interest
598(8)
Annuities and Future Value
606(6)
Present Value of an Annuity; Amortization
612
Problems and Projects
617(2)
Chapter Summary
619(2)
Chapter Test
621(1)
Cumulative Review Exercises
622
Appendix I A Proof of the Binomial Theorem 1(2)
Appendix II Tables 3(3)
Table A Powers and Roots
3(1)
Table B Base-10 Logarithms
4(1)
Table C Base-e Logarithms
5(1)
Appendix III Answers to Selected Exercises 6
Index 1

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