Algebra for College Students

by Lial, Margaret L.; Hornsby, John

• ISBN13: 9780321036476
• ISBN10: 0321036476
• Edition: 4th
• Format: Hardcover
• Copyright: 2000-01-01
• Publisher: Addison-Wesley

Summary

KEY MESSAGE: The Lial series has helped thousands of readers succeed in developmental mathematics through its approachable writing style, relevant real-world examples, extensive exercise sets, and complete supplements package Review of the Real Number System; Linear Equations, Inequalities, and Applications; Graphs, Linear Equations, and Functions; Systems of Linear Equations; Exponents, Polynomials, and Polynomial Functions; Factoring; Rational Expressions and Functions; Roots, Radicals, and Root Functions; Quadratic Equations and Inequalities; Additional Functions and Relations; Inverse, Exponential, and Logarithmic Functions; More on Polynomial and Rational Functions; Conic Sections; Further Topics in Algebra For all readers interested in Algebra.

Table of Contents

Preface	xi
An Introduction to Calculators	xix
Review of the Real Number System	1	(44)
Basic Terms	2	(13)
Operations on Real Numbers	15	(12)
Properties of Real Numbers	27	(18)
Group Activity	35	(2)
Summary	37	(3)
Review Exercises	40	(3)
Test	43	(2)
Linear Equations and Inequalities	45	(80)
Linear Equations in One Variable	46	(8)
Formulas	54	(8)
Applications of Linear Equations	62	(13)
More Applications of Linear Equations	75	(9)
Linear Inequalities in One Variable	84	(10)
Set Operations and Compound Inequalities	94	(8)
Absolute Value Equations and Inequalities	102	(23)
Summary: Exercises on Solving Linear and Absolute Value Equations and Inequalities	110	(1)
Group Activity	111	(1)
Summary	112	(4)
Review Exercises	116	(4)
Test	120	(2)
Cummulative Review Exercises Chapters 1--2	122	(3)
Graphs, Linear Equations, and Functions	125	(82)
The Rectangular Coordinate System	126	(11)
The Slope of a Line	137	(14)
Linear Equations in Two Variables	151	(14)
Linear Inequalities in Two Variables	165	(7)
Introduction to Functions	172	(14)
Variation	186	(21)
Group Activity	195	(1)
Summary	196	(3)
Review Exercises	199	(4)
Test	203	(2)
Cumulative Review Exercises Chapters 1--3	205	(2)
Exponents and Polynomials	207	(83)
Integer Exponents and Scientific Notation	208	(14)
Addition and Subtraction of Polynomials	222	(6)
Polynomial Functions	228	(8)
Multiplication of Polynomials	236	(8)
Greatest Common Factors; Factoring by Grouping	244	(7)
Factoring Trinomials	251	(7)
Special Factoring	258	(6)
General Methods of Factoring	264	(4)
Solving Equations by Factoring	268	(22)
Group Activity	277	(2)
Summary	279	(3)
Review Exercises	282	(5)
Test	287	(1)
Cumulative Review Exercises Chapters 1--4	288	(2)
Rational Expressions	290	(66)
Rational Expressions and Functions; Multiplication and Division	291	(10)
Addition and Substraction of Rational Expressions	301	(8)
Complex Fractions	309	(5)
Division of Polynomials	314	(7)
Graphs and Equations with Rational Expressions	321	(9)
Summary: Exercises on Operations and Equations with Rational Expressions	329	(1)
Applications of Rational Expressions	330	(26)
Group Activity	342	(1)
Summary	343	(4)
Review Exercises	347	(4)
Test	351	(1)
Cumulative Review Exercises Chapters 1--5	352	(4)
Roots and Radicals	356	(67)
Rational Exponents and Radicals	357	(10)
Simplifying Radical Expressions	367	(11)
Addition and Substraction of Radical Expressions	378	(6)
Multiplication and Division of Radical Expressions	384	(8)
Graphs and Equations with Radical Expressions	392	(11)
Complex Numbers	403	(20)
Group Activity	411	(1)
Summary	412	(4)
Review Exercises	416	(4)
Test	420	(1)
Cumulative Review Exercises Chapters 1--6	421	(2)
Quardratic Equations and Inequalities	423	(57)
Completing the Square	424	(8)
The Quadratic Formula	432	(11)
Equations Quardratic in Form	443	(9)
Formulas and Applications	452	(10)
Nonlinear Inequalities	462	(18)
Group Activity	468	(2)
Summary	470	(3)
Review Exercises	473	(3)
Test	476	(1)
Cumulative Review Exercises Chapters 1--7	477	(3)
Graphing Relations and Functions	480	(88)
The Algebra of Functions	481	(8)
Quadratic Functions; Translations	489	(12)
More About Parabolas; Applications	501	(12)
Symmetry; Increasing and Decreasing Functions	513	(10)
The Circle and the Ellipse	523	(10)
The Hyperbola; Conic Sections	533	(11)
Piecewise Linear Functions	544	(24)
Group Activity	554	(1)
Summary	554	(6)
Review Exercises	560	(4)
Test	564	(2)
Cumulative Review Exercises Chapters 1--8	566	(2)
Polynomial and Rational Functions	568	(65)
Synthetic Division	569	(7)
Zeros of Polynomial Functions	576	(9)
Graphs and Applications of Polynomial Functions	585	(20)
Summary: Exercises on Polynomial Functions and Graphs	604	(1)
Graphs and Applications of Rational Functions	605	(28)
Group Activity	621	(1)
Summary	622	(4)
Review Exercises	626	(3)
Test	629	(1)
Cumulative Review Exercises Chapters 1--9	630	(3)
Inverse, Exponential, and Logarithmic Functions	633	(68)
Inverse Functions	634	(10)
Exponential Functions	644	(10)
Logarithmic Functions	654	(8)
Properties of Logarithms	662	(8)
Evaluating Logarithms	670	(10)
Exponential and Logarithmic Equations; Applications	680	(21)
Group Activity	688	(1)
Summary	689	(4)
Review Exercises	693	(4)
Test	697	(2)
Cumulative Review Exercises Chapters 1--10	699	(2)
Systems of Equations and Inequalities	701	(68)
Linear Systems of Equations in Two Variables	702	(12)
Linear Systems of Equations in Three Variables	714	(7)
Applications of Linear Systems of Equations	721	(15)
Nonlinear Systems of Equations	736	(8)
Second-Degree Inequalities, Systems of Inequalities, and Linear Programming	744	(25)
Group Activity	755	(1)
Summary	756	(5)
Review Exercises	761	(4)
Test	765	(2)
Cumulative Review Exercises Chapters 1--11	767	(2)
Matrices and Determinants	769	(63)
Matrix Solution of Linear Systems	770	(11)
Properties of Matrices	781	(13)
Determinats	794	(10)
Cramer's Rule	804	(6)
Matrix Inverses	810	(22)
Group Activity	821	(2)
Summary	823	(3)
Review Exercises	826	(3)
Test	829	(1)
Cumulative Review Exercises Chapters 1--12	830	(2)
Further Topics in Algebra	832
Sequences and Series	833	(8)
Arithmetic Sequences	841	(7)
Geometric Sequences	848	(11)
The Binomial Theorem	859	(7)
Mathematical Induction	866	(6)
Counting Theory	872	(8)
Basics of Probability	880
Group Activity	889	(1)
Summary	890	(4)
Review Exercises	894	(3)
Test	897	(2)
Cumulative Review Exercises Chapters 1--13	899
Answers to Selected Exercises	A-1
Index	I-1
Index of Applications	I-11