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College Algebra,9780321159342
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College Algebra

by ; ;
Edition:
2nd
ISBN13:

9780321159342

ISBN10:
0321159349
Format:
Hardcover
Pub. Date:
1/1/2005
Publisher(s):
Addison Wesley

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Summary

The BPB team has created a book where the use of the graphing calculator is optional but visualizing the mathematics is not. By creating algebraic visual side-by-sides to solve various problems in the examples, the authors show students the relationship of the algebraic solution with the visual, often graphical, solution. In addition to helping students visualize the math with side-by-sides, the authors focus on helping students make the connection between x-intercepts, zeros, and solutions, both visually and algebraically.

Table of Contents

Basic Concepts of Algebra
The Real-Number System
2(6)
Integer Exponents, Scientific Notation, and Order of Operations
8(8)
Addition, Subtraction, and Multiplication of Polynomials
16(5)
Factoring
21(8)
Rational Expressions
29(8)
Radical Notation and Rational Exponents
37(15)
Summary and Review
47(3)
Test
50(2)
Graphs, Functions, and Models
Introduction to Graphing
52(17)
Functions and Graphs
69(15)
Linear Functions, Slope, and Applications
84(12)
Equations of Lines and Modeling
96(16)
More on Functions
112(13)
The Algebra of Functions
125(11)
Symmetry and Transformations
136(30)
Summary and Review
158(5)
Test
163(3)
Functions, Equations, and Inequalities
Linear Equations, Functions, and Models
166(18)
The Complex Numbers
184(7)
Quadratic Equations, Functions, and Models
191(16)
Analyzing Graphs of Quadratic Functions
207(13)
More Equation Solving
220(9)
Solving Linear Inequalities
229(15)
Summary and Review
237(3)
Test
240(4)
Polynomial and Rational Functions
Polynomial Functions and Models
244(24)
Polynomial Division; The Remainder and Factor Theorems
268(8)
Theorems about Zeros of Polynomial Functions
276(10)
Rational Functions
286(19)
Polynomial and Rational Inequalities
305(9)
Variation and Applications
314(16)
Summary and Review
322(5)
Test
327(3)
Exponential and Logarithmic Functions
Inverse Functions
330(12)
Exponential Functions and Graphs
342(14)
Logarithmic Functions and Graphs
356(16)
Properties of Logarithmic Functions
372(8)
Solving Exponential and Logarithmic Equations
380(11)
Applications and Models: Growth and Decay
391(21)
Summary and Review
406(4)
Test
410(2)
Systems of Equations and Matrices
Systems of Equations in Two Variables
412(16)
Systems of Equations in Three Variables
428(10)
Matrices and Systems of Equations
438(9)
Matrix Operations
447(12)
Inverses of Matrices
459(7)
Determinants and Cramer's Rule
466(9)
Systems of Inequalities and Linear Programming
475(11)
Partial Fractions
486(16)
Summary and Review
492(6)
Test
498(4)
Conic Sections
The Parabola
502(9)
The Circle and the Ellipse
511(11)
The Hyperbola
522(10)
Nonlinear Systems of Equations
532(18)
Summary and Review
544(4)
Test
548(2)
Sequences, Series, and Combinatorics
Sequences and Series
550(9)
Arithmetic Sequences and Series
559(9)
Geometric Sequences and Series
568(12)
Mathematical Induction
580(6)
Permutations
586(10)
Combinatorics: Combinations
596(8)
The Binomial Theorem
604(8)
Probability
612(17)
Summary and Review
622(4)
Test
626(3)
Appendix: Basic Concepts from Geometry 629
Answers 1(55)
Photo Credits 56
Index 1(10)
Index of Applications 11


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