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Algebra for College Students (with CD-ROM, BCA/iLrn™ Tutorial, and InfoTrac)

ISBN: 9780534463878 | 0534463878
Edition: 7th
Format: Hardcover
Publisher: Cengage Learning
Pub. Date: 3/12/2004

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SummaryTable of Contents
Tried and true, Gustafson and Frisk's ALGEBRA FOR COLLEGE STUDENTS 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 Edit... MORE
A Review of Basic Algebra
1(82)
The Real Number System
2(11)
Arithmetic and Properties of Real Numbers
... MORE
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)
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)
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)
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)
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)
Test
338(1)
Rational Expressions
339(79)
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(15)
Projects
410(1)
Chapter Summary
411(4)
Test
415(1)
Cumulative Review Exercises
416(2)
Radicals and Rational Exponents
418(74)
Radical Expressions
419(12)
Applications of Radicals
431(7)
Rational Exponents
438(8)
Simplifying and Combining Radical Expressions
446(10)
Multiplying and Dividing Radical Expressions
456(8)
Radical Equations
464(9)
Complex Numbers
473(19)
Projects
483(1)
Chapter Summary
484(6)
Test
490(2)
Quadratic Functions and Inequalities
492(53)
Solving Quadratic Equations by Completing the Square
493(10)
Solving Quadratic Equations by the Quadratic Formula
503(7)
The Discriminant and Equations That Can Be Written in Quadratic Form
510(6)
Graphs of Quadratic Functions
516(12)
Quadratic and Other Nonlinear Inequalities
528(17)
Projects
537(2)
Chapter Summary
539(3)
Test
542(1)
Cumulative Review Exercises
543(2)
More Functions and Operations on Functions
545(63)
Symmetry and Stretchings of Graphs
546(10)
Piecewise-Defined Functions and the Greatest Integer Function
556(5)
More Rational Functions
561(15)
Partial Fractions
576(8)
Algebra and Composition of Functions
584(8)
Inverses of Functions
592(16)
Projects
601(1)
Chapter Summary
602(4)
Test
606(2)
Exponential and Logarithmic Functions
608(64)
Exponential Functions
609(11)
Base-e Exponential Functions
620(8)
Logarithmic Functions
628(10)
Base-e Logarithms
638(6)
Properties of Logarithms
644(9)
Exponential and Logarithmic Equations
653(19)
Projects
662(2)
Chapter Summary
664(5)
Test
669(1)
Cumulative Review Exercises
670(2)
Solving Polynomial Equations
672(37)
The Remainder and Factor Theorems; Synthetic Division
673(9)
Descartes' Rules of Signs and Bounds on Roots
682(7)
Rational Roots of Polynomial Equations
689(9)
Irrational Roots of Polynomial Equations
698(11)
Projects
704(1)
Chapter Summary
705(3)
Test
708(1)
Conic Sections and Quadratic Systems
709(58)
The Circle
710(9)
The Parabola
719(10)
The Ellipse
729(11)
The Hyperbola
740(10)
Solving Simultaneous Second-Degree Equations
750(17)
Projects
758(1)
Chapter Summary
759(5)
Test
764(1)
Cumulative Review Exercises
765(2)
Natural-Number Functions and Probability
767
The Binomial Theorem
768(6)
Sequences, Series, and Summation Notation
774(7)
Arithmetic Sequences
781(6)
Geometric Sequences
787(9)
Mathematical Induction
796(5)
Permutations and Combinations
801(10)
Probability
811(7)
Computation of Compound Probabilities
818(5)
Odds and Mathematical Expectation
823
Projects
827(1)
Chapter Summary
828(5)
Test
833(1)
Cumulative Review Exercises
834
Appendix I Matrix Algebra
1(14)
Appendix II Tables
15(3)
Table A Powers and Roots
15(1)
Table B Base-10 Logarithms
16(1)
Table C Base-e Logarithms
17(1)
Appendix III Answers to Selected Exercises
18
Index1

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