College Algebra

by Blitzer, Robert F.

• ISBN13: 9780131013650
• ISBN10: 0131013653
• Edition: 3rd
• Format: Hardcover
• Copyright: 2004-01-01
• Publisher: Prentice Hall

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