College Algebra (with Interactive Video Skillbuilder CD-ROM and CengageNOW, iLrn™ Tutorial Student Version, and Personal Tutor Printed Access Card)

by Gustafson, R. David; Frisk, Peter D.

• ISBN13: 9780495012665
• ISBN10: 0495012661
• Edition: 9th
• Format: Hardcover
• Copyright: 2006-01-03
• Publisher: Brooks Cole

Summary

Clearly written and comprehensive, the ninth edition of Gustafson and Frisk's popular book provides in-depth and precise coverage, incorporated into a framework of tested teaching strategy. The authors 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

A Review of Basic Algebra	1	(78)
Sets of Real Numbers	2	(12)
Integer Exponents and Scientific Notation	14	(12)
Rational Exponents and Radicals	26	(12)
Polynomials	38	(12)
Factoring Polynomials	50	(9)
Algebraic Fractions	59	(20)
Problems and Projects	69	(2)
Chapter Summary	71	(6)
Chapter Test	77	(2)
Equations and Inequalities	79	(85)
Equations	80	(9)
Applications of Linear Equations	89	(10)
Quadratic Equations	99	(11)
Applications of Quadratic Equations	110	(8)
Complex Numbers	118	(10)
Polynomial and Radical Equations	128	(7)
Inequalities	135	(12)
Absolute Value	147	(17)
Problems and Projects	155	(1)
Chapter Summary	156	(5)
Chapter Test	161	(1)
Cumulative Review Exercises	162	(2)
The Rectangular Coordinate System and Graphs of Equations	164	(77)
The Rectangular Coordinate System	165	(15)
The Slope of a Nonvertical Line	180	(12)
Writing Equations of Lines	192	(15)
Graphs of Equations	207	(17)
Proportion and Variation	224	(17)
Problems and Projects	231	(2)
Chapter Summary	233	(6)
Chapter Test	239	(2)
Functions	241	(91)
Functions and Function Notation	242	(12)
Quadratic Functions	254	(10)
Polynomial and Other Functions	264	(13)
Translating and Stretching Graphs	277	(10)
Rational Functions	287	(17)
Operations on Functions	304	(10)
Inverse Functions	314	(18)
Problems and Projects	323	(1)
Chapter Summary	324	(4)
Chapter Test	328	(2)
Cumulative Review Exercises	330	(2)
Exponential and Logarithmic Functions	332	(63)
Exponential Functions and Their Graphs	333	(13)
Applications of Exponential Functions	346	(6)
Logarithmic Functions and Their Graphs	352	(10)
Applications of Logarithmic Functions	362	(6)
Properties of Logarithms	368	(10)
Exponential and Logarithmic Equations	378	(17)
Problems and Projects	387	(2)
Chapter Summary	389	(5)
Chapter Test	394	(1)
Solving Polynomial Equations	395	(38)
The Remainder and Factor Theorems; Synthetic Division	396	(9)
Descartes' Rule of Signs and Bounds on Roots	405	(7)
Rational Roots of Polynomial Equations	412	(9)
Irrational Roots of Polynomial Equations	421	(12)
Problems and Projects	427	(1)
Chapter Summary	428	(3)
Chapter Test	431	(1)
Cumulative Review Exercises	432	(1)
Linear Systems	433	(93)
Systems of Linear Equations	434	(14)
Gaussian Elimination and Matrix Methods	448	(12)
Matrix Algebra	460	(13)
Matrix Inversion	473	(8)
Determinants	481	(12)
Partial Fractions	493	(8)
Graphs of Linear Inequalities	501	(7)
Linear Programming	508	(18)
Problems and Projects	518	(1)
Chapter Summary	519	(5)
Chapter Test	524	(2)
Conic Sections and Quadratic Systems	526	(53)
The Circle and the Parabola	527	(14)
The Ellipse	541	(13)
The Hyperbola	554	(10)
Solving Simultaneous Second-Degree Equations	564	(15)
Problems and Projects	570	(2)
Chapter Summary	572	(4)
Chapter Test	576	(1)
Cumulative Review Exercises	577	(2)
Natural-Number Functions and Probability	579	(66)
The Binomial Theorem	580	(6)
Sequences, Series, and Summation Notation	586	(8)
Arithmetic Sequences	594	(6)
Geometric Sequences	600	(8)
Mathematical Induction	608	(5)
Permutations and Combinations	613	(10)
Probability	623	(6)
Computation of Compound Probabilities	629	(5)
Odds and Mathematical Expectation	634	(11)
Problems and Projects	637	(2)
Chapter Summary	639	(4)
Chapter Test	643	(2)
The Mathematics of Finance	645
Interest	646	(10)
Annuities and Future Value	656	(6)
Present Value of an Annuity; Amortization	662
Problems and Projects	668	(1)
Chapter Summary	669	(3)
Chapter Test	672	(1)
Cumulative Review Exercises	672
Appendix I A Proof of the Binomial Theorem	1	(2)
Appendix II An Alternate Approach to Circles and Parabolas	3	(20)
Appendix III Tables	23	(3)
Table A Powers and Roots	23	(1)
Table B Base-10 Logarithms	24	(1)
Table C Base-e Logarithms	25	(1)
Appendix IV Answers to Selected Exercises	26
Index	1