9780201848908

College Algebra: Graphs and Models

by
  • ISBN13:

    9780201848908

  • ISBN10:

    0201848902

  • Edition: 1st
  • Format: Hardcover
  • Copyright: 1/1/1997
  • Publisher: Addison Wesley
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Supplemental Materials

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Table of Contents

Introduction to Graphs and Graphers 1(19)
R Basic Concepts of Algebra
The Real-Number System
20(5)
Integer Exponents, Scientific Notation, and Order of Operations
25(7)
Addition, Subtraction, and Multiplication of Polynomials
32(4)
Factoring
36(4)
Rational Expressions
40(9)
Radical Notation and Rational Exponents
49(9)
Solving Equations
58(8)
Solving Inequalities
66(6)
Modeling and Applications
72(12)
Summary and Review
79(5)
Graphs, Functions, and Models
Functions, Graphs, and Graphers
84(14)
Functions and Applications
98(13)
Linear Functions and Applications
111(16)
Data Analysis, Curve Fitting, and Linear Regression
127(8)
Distance, Midpoints, and Circles
135(5)
Symmetry
140(7)
Transformations of Functions
147(11)
The Algebra of Functions
158(14)
Summary and Review
167(5)
Polynomial and Rational Functions
Introduction to Polynomial Functions and Complex Numbers
172(8)
Quadratic Equations and Functions
180(16)
Polynomial Models and Curve Fitting
196(12)
Polynomial Division; The Remainder and Factor Theorems
208(7)
Theorems about Zeros of Polynomial Functions
215(9)
Rational Functions
224(14)
Polynomial and Rational Inequalities
238(12)
Summary and Review
245(5)
Exponential and Logarithmic Functions
Inverse Functions
250(11)
Exponential Functions and Graphs
261(13)
Logarithmic Functions and Graphs
274(13)
Properties of Logarithmic Functions
287(9)
Solving Exponetial and Logarithmic Equations
296(7)
Applications and Models: Growth and Decay
303(19)
Summary and Review
318(4)
Systems and Matries
Systems of Equations in Two Variables
322(10)
Systems of Equations in Three or More Variables
332(8)
Matrices and Systems of Equations
340(8)
Matrix Operations
348(12)
Inverses of Matrices
360(6)
Systems of Inequalities and Linear Programming
366(11)
Partial Fractions
377(13)
Summary and Review
385(5)
Conic Sections
The Parabola
390(8)
The Circle and the Ellipse
398(10)
The Hyperbola
408(9)
Nonlinear Sytems of Equations
417(13)
Summary and Review
425(5)
Sequences, Series, and Combinatorics
Sequences and Series
430(11)
Arithmetic Sequences and Series
441(10)
Geometric Sequences and Series
451(11)
Mathematical Induction
462(7)
Combinatorics: Permutations
469(10)
Combinatorics: Combinations
479(7)
The Binomial Theorem
486(9)
Probability
495(14)
Summary and Review
505(4)
Appendixes 509(1)
A Determinants and Cramer's Rule
509(7)
B Parametric Equations
516
Ansers A-1(1)
Index of Applications I-1(1)
Index I-5

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