Intermediate Algebra (with CD-ROM, BCA/iLrn™ Tutorial, and InfoTrac),9780534463427

Intermediate Algebra (with CD-ROM, BCA/iLrn™ Tutorial, and InfoTrac)

by ;
Edition: 7th
ISBN13: 9780534463427
ISBN10: 0534463428
Format: Hardcover
Pub. Date: 2004-02-12
Publisher(s): Brooks Cole
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Summary

Tried and true, Gustafson and Frisk's INTERMEDIATE ALGEBRA teaches solid mathematical skills while supporting the student with careful pedagogy. Each book in this series maintains the authors' proven style through clear, no-nonsense explanations, as well as the mathematical accuracy and rigor that only Gustafson and Frisk can deliver. The text's clearly useful applications emphasize problem solving to effectively develop the skills students need for future mathematics courses, such as college algebra, and for real life. The Seventh Edition of INTERMEDIATE ALGEBRA also features a robust suite of online course management, testing, and tutorial resources for instructors and students. This includes BCA/iLrn Testing and Tutorial, vMentor live online tutoring, the Interactive Video Skillbuilder CD-ROM with MathCue, a Book Companion Web Site featuring online graphing calculator resources, and The Learning Equation (TLE), powered by BCA/iLrn. TLE provides a complete courseware package, featuring a diagnostic tool that gives instructors the capability to create individualized study plans. With TLE, a cohesive, focused study plan can be put together to help each student succeed in math.

Table of Contents

A Review of Basic Algebra
1(83)
The Real Number System
2(11)
Arithmetic and Properties of Real Numbers
13(14)
Exponents
27(12)
Scientific Notation
39(7)
Solving Equations
46(11)
Using Equations to Solve Problems
57(11)
More Applications of Equations
68(15)
Projects
75(1)
Chapter Summary
76(5)
Chapter 1 Test
81(2)
Graphs, Equations of Lines, and Functions
83(68)
Graphing Linear Equations
84(15)
Slope of a Nonvertical Line
99(10)
Writing Equations of Lines
109(13)
Introduction to Functions
122(10)
Graphs of Other Functions
132(19)
Projects
143(1)
Chapter Summary
144(4)
Chapter 2 Test
148(1)
Cumulative Review Exercises
149(2)
Systems of Equations
151(57)
Solution by Graphing
152(8)
Solution by Elimination
160(15)
Solutions of Three Equations in Three Variables
175(10)
Solution by Matrices
185(9)
Solution by Determinants
194(14)
Projects
204(1)
Chapter Summary
205(2)
Chapter 3 Test
207(1)
Inequalities
208(57)
Linear Inequalities
209(12)
Equations and Inequalities with Absolute Values
221(13)
Linear Inequalities in Two Variables
234(8)
Systems of Inequalities
242(6)
Linear Programming
248(17)
Projects
258(1)
Chapter Summary
259(3)
Chapter 4 Test
262(1)
Cumulative Review Exercises
263(2)
Polynomials and Polynomial Functions
265(74)
Polynomials and Polynomial Functions
266(9)
Adding and Subtracting Polynomials
275(5)
Multiplying Polynomials
280(11)
The Greatest Common Factor and Factoring by Grouping
291(9)
The Difference of Two Squares; the Sum and Difference of Two Cubes
300(8)
Factoring Trinomials
308(11)
Summary of Factoring Techniques
319(4)
Solving Equations by Factoring
323(16)
Projects
331(2)
Chapter Summary
333(5)
Chapter 5 Test
338(1)
Rational Expressions
339(86)
Rational Functions and Simplifying Rational Expressions
340(12)
Proportion and Variation
352(13)
Multiplying and Dividing Rational Expressions
365(8)
Adding and Subtracting Rational Expressions
373(10)
Complex Fractions
383(10)
Equations Containing Rational Expressions
393(10)
Dividing Polynomials
403(7)
Synthetic Division (Optional)
410(15)
Projects
416(2)
Chapter Summary
418(3)
Chapter 6 Test
421(1)
Cumulative Review Exercises
422(3)
Radicals and Rational Exponents
425(74)
Radical Expressions
426(12)
Applications of Radicals
438(7)
Rational Exponents
445(8)
Simplifying and Combining Radical Expressions
453(10)
Multiplying and Dividing Radical Expressions
463(8)
Radical Equations
471(9)
Complex Numbers
480(19)
Projects
490(1)
Chapter Summary
491(6)
Chapter 7 Test
497(2)
Quadratic Functions, Inequalities, and Algebra of Functions
499(71)
Solving Quadratic Equations by Completing the Square
500(10)
Solving Quadratic Equations by the Quadratic Formula
510(7)
The Discriminant and Equations That Can Be Written in Quadratic Form
517(6)
Graphs of Quadratic Functions
523(12)
Quadratic and Other Nonlinear Inequalities
535(9)
Algebra and Composition of Functions
544(8)
Inverses of Functions
552(18)
Projects
561(2)
Chapter Summary
563(4)
Chapter 8 Test
567(1)
Cumulative Review Exercises
568(2)
Exponential and Logarithmic Functions
570(63)
Exponential Functions
571(11)
Base-e Exponential Functions
582(8)
Logarithmic Functions
590(10)
Base-e Logarithms
600(6)
Properties of Logarithms
606(9)
Exponential and Logarithmic Equations
615(18)
Projects
624(2)
Chapter Summary
626(5)
Chapter 9 Test
631(2)
More Graphing and Conic Sections
633(51)
The Circle and the Parabola
634(13)
The Ellipse
647(9)
The Hyperbola
656(10)
Solving Simultaneous Second-Degree Equations
666(6)
Piecewise-Defined Functions and the Greatest Integer Function
672(12)
Project
678(1)
Chapter Summary
679(2)
Chapter 10 Test
681(2)
Cumulative Review Exercises
683(1)
Miscellaneous Topics
684(1)
The Binomial Theorem
685(6)
The nth Term of a Binomial Expansion
691(2)
Arithmetic Sequences
693(8)
Geometric Sequences
701(7)
Infinite Geometric Sequences
708(4)
Permutations and Combinations
712(10)
Projects
722(2)
Chapter Summary
724(3)
Chapter 11 Test
727(1)
Cumulative Review Exercises
728
Appendix I Symmetries of Graphs
1(5)
Appendix II Sample Final Examination
6(3)
Appendix III Tables
9(3)
Table A Powers and Roots
9(1)
Table B Base-10 Logarithms
10(1)
Table C Base-e Logarithms
11(1)
Appendix IV Answers to Selected Exercises
12
Index 1

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