College Algebra

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

• ISBN13: 9780534378837
• ISBN10: 0534378838
• Format: Hardcover
• Copyright: 2000-08-04
• Publisher: Brooks Cole

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