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Algebra for College Students,9780321036476

Algebra for College Students

by ;
Edition:
4th
ISBN13:

9780321036476

ISBN10:
0321036476
Format:
Hardcover
Pub. Date:
1/1/2000
Publisher(s):
Addison-Wesley
List Price: $145.75

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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


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