9780201741407

College Algebra

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  • ISBN13:

    9780201741407

  • ISBN10:

    0201741407

  • Format: Hardcover
  • Copyright: 1/1/2002
  • Publisher: Addison Wesley
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Summary

These authors have created a book to really help students visualize mathematics for better comprehension. 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, the authors have added a variety of new tools to help students better use the book for maximum effectiveness to not only pass the course, but truly understand the material.

Table of Contents

Basic Concepts of Algebra
The Real Number System
2(6)
Integer Exponents, Scientific Notation, and Order of Operations
8(7)
Addition, Subtraction, and Multiplication of Polynomials
15(4)
Factoring
19(5)
Rational Expressions
24(7)
Radical Notation and Rational Exponents
31(13)
Summary and Review
40(2)
Test
42(2)
Graphs, Functions, and Models
Introduction to Graphing
44(12)
Functions and Graphs
56(14)
Linear Functions, Slope, and Applications
70(11)
Equations of Lines and Modeling
81(12)
More on Functions
93(15)
Symmetry and Transformations
108(26)
Summary and Review
126(4)
Test
130(4)
Functions, Equations, and Inequalities
Linear Equations, Functions, and Models
134(13)
The Complex Numbers
147(6)
Quadratic Equations, Functions, and Models
153(15)
Analyzing Graphs of Quadratic Functions
168(10)
More Equation Solving
178(6)
Solving Linear Inequalities
184(10)
Summary and Review
189(3)
Test
192(2)
Polynomial and Rational Functions
Polynomial Functions and Models
194(10)
Polynomial Division; The Remainder and Factor Theorems
204(10)
Theorems about Zeros of Polynomial Functions
214(11)
Rational Functions
225(14)
Polynomial and Rational Inequalities
239(8)
Variation and Applications
247(15)
Summary and Review
255(4)
Test
259(3)
Exponential and Logarithmic Functions
Composite and Inverse Functions
262(15)
Exponential Functions and Graphs
277(11)
Logarithmic Functions and Graphs
288(13)
Properties of Logarithmic Functions
301(7)
Solving Exponential and Logarithmic Equations
308(9)
Applications and Models: Growth and Decay
317(19)
Summary and Review
331(3)
Test
334(2)
Systems of Equations and Matrices
Systems of Equations in Two Variables
336(11)
Systems of Equations in Three Variables
347(9)
Matrices and Systems of Equations
356(8)
Matrix Operations
364(12)
Inverses of Matrices
376(6)
Determinants and Cramer's Rule
382(9)
Systems of Inequalities and Linear Programming
391(10)
Partial Fractions
401(15)
Summary and Review
407(6)
Test
413(3)
Conic Sections
The Parabola
416(8)
The Circle and the Ellipse
424(10)
The Hyperbola
434(10)
Nonlinear Systems of Equations
444(18)
Summary and Review
455(4)
Test
459(3)
Sequences, Series, and Combinatorics
Sequences and Series
462(8)
Arithmetic Sequences and Series
470(9)
Geometric Sequences and Series
479(10)
Mathematical Induction
489(6)
Combinatorics: Permutations
495(9)
Combinatorics: Combinations
504(8)
The Binomial Theorem
512(7)
Probability
519
Summary and Review
530(3)
Test
533
Answers 1(1)
Index 1
Index of Applications

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