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1
College Algebra: A Graphing Approach- Text Only
2005, Thomson; Brooks/ Cole
Hardcover
in English
- 2nd edition
0006294499 9780006294498
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WorldCat
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2
College Algebra: A Graphing Approach (with CD-ROM, BCA/iLrn Tutorial, and InfoTrac®)
February 11, 2004, Brooks Cole
Hardcover
in English
- 2 edition
0534462162 9780534462161
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Book Details
Table of Contents
Preface
Page xi
Chapter R.
Review of Basic Algebra
Page 1
Application: Understanding the Universe in Which We Live
Page 2
R.1.
Real Numbers and Their Properties
Page 3
R.2.
Rational Exponents, Scientific Notation, and Doses of Medicine
Page 16
R.3.
Polynomials
Page 30
R.4.
Factoring
Page 38
R.5.
Rational Expressions
Page 49
R.6.
Equations, Traffic Flow, and Fermat's Last Theorem
Page 58
Chapter Project: Space-Time Travel
Page 71
Highlights
Page 73
Review Exercises
Page 75
Chapter Test
Page 78
Chapter 1.
Interplay between Algebra and Geometry
Page 79
Application: Skeleton Sizes
Page 80
1.1.
Equations, Graphs, and Data Analysis
Page 80
1.2.
Functions, Tables, and Skeleton Sizes
Page 90
1.3.
Lines, Least-Squares Fit, and Analysis of Tuition Costs
Page 105
1.4.
Linear Functions, Reservoir Monitoring, and Location Evaluation
Page 127
1.5.
Parabolas and Quadratic Equations
Page 140
1.6.
Quadratic Functions, Learning German, and Fluid Flow
Page 149
1.7.
Distances, Circles, and Typesetting
Page 161
Chapter Project: Real and Subjective Times
Page 179
Highlights
Page 181
Review Exercises
Page 183
Chapter Test
Page 187
Chapter 2.
Solving Equations and Inequalities
Page 189
Application: Motion under Gravity
Page 190
2.1.
Quadratic Equations
Page 190
2.2.
Further Types of Equations
Page 203
2.3.
Equations, Variation, Architecture, Navigation, and Ecology
Page 213
2.4.
Inequalities, Temperature Range of a Computer; and Spread of a Disease
Page 225
2.5.
Equations and Inequalities with Absolute Values
Page 240
Chapter Project: Algorithms for Finding Roots and Solving Equations
Page 248
Highlights
Page 250
Review Exercises
Page 251
Chapter Test
Page 253
Cumulative Test: Chapters R-2
Page 254
Chapter 3.
Further Development of Functions
Page 255
Application: Tracking an Asteroid
Page 256
3.1.
Polynomial Functions
Page 256
3.2.
Construction of Functions, Optimization, and Drug Administration
Page 265
3.3.
Special Functions, Symmetry, and Consumer Awareness
Page 278
3.4.
Shifting and Stretching Graphs and Supply and Demand for Wheat
Page 293
3.5.
Rational Functions and Queuing Theory
Page 313
3.6.
Operations on Functions and an Introduction to the Theory of Chaos
Page 326
3.7.
Inverse Functions, One-to-One Functions, and Cryptography
Page 341
Chapter Project: Recalling Ability
Page 357
Highlights
Page 358
Review Exercises
Page 360
Chapter Test
Page 363
Chapter 4.
Further Theory of Polynomials
Page 364
Application: Fractal Geometry
Page 365
4.1.
Synthetic Division, Zeros, and Factors
Page 365
4.2.
Complex Numbers and the Mandelbrot Set
Page 371
4.3.
Complex Zeros, Complex Factors, and the Fundamental Theorem of Algebra
Page 381
4.4.
Computing Zeros of Polynomials
Page 389
Chapter Project: Julia Sets
Page 396
Highlights
Page 397
Review Exercises
Page 398
Chapter Test
Page 399
Chapter 5.
Exponential and Logarithmic Functions
Page 400
Application: The Bacterium Escherichia coli
Page 401
5.1.
Exponential Functions and the Growth of Escherichia coli
Page 402
5.2.
The Natural Exponential Function and Color Television
Page 415
5.3.
Logarithmic Functions and Seismography
Page 426
5.4.
Logarithmic Equations, Dating of Artifacts, and the Learning Curve Effect
Page 437
5.5.
Exponential Regression and Intravenous Drug Administration
Page 451
Chapter Project: Simulating the Government Model for World Population
Page 459
Highlights
Page 460
Review Exercises
Page 461
Chapter Test
Page 463
Cumulative Test: Chapters 3-5
Page 464
Chapter 6.
Systems of Equations and Inequalities
Page 465
Application: Manufacturing Calculators
Page 466
6.1.
Systems of Linear Equations in Two Variables
Page 467
6.2.
Systems of Linear Equations in Three Variables
Page 478
6.3.
Gauss-Jordan Elimination and Electrical Networks
Page 491
6.4.
Systems of Nonlinear Equations
Page 498
6.5.
Systems of Linear Inequalities
Page 504
6.6.
Linear Programming and Optimal Use of Resources
Page 510
Chapter Project: Linear Programming
Page 519
Highlights
Page 520
Review Exercises
Page 522
Chapter Test
Page 524
Chapter 7.
Matrices
Page 525
Application: Group Relationships in Sociology
Page 526
7.1.
Matrices and Group Relationships in Sociology
Page 526
7.2.
Multiplication of Matrices and Population Movements
Page 541
7.3.
The Inverse of a Matrix, Color Graphics, and Interdependence of Industries
Page 552
7.4.
Determinants and Cramer's Rule
Page 563
7.5.
Symmetric Matrices and Archaeology
Page 573
Chapter Project: Influence within a Group
Page 580
Highlights
Page 581
Review Exercises
Page 583
Chapter Test
Page 585
Chapter 8.
Sequences and Series
Page 587
Application: Accumulation of Email Messages
Page 588
8.1.
Sequences, Series, and the Fibonacci Sequence
Page 588
8.2.
Arithmetic Sequences
Page 595
8.3.
Geometric Sequences, Bacteria Counts, and the Flaw in the Pentium Chip
Page 605
8.4.
Mathematical Induction
Page 619
8.5.
The Binomial Theorem
Page 625
Chapter Project: Email Messages
Page 631
Highlight
Page 632
Review Exercises
Page 633
Chapter Test
Page 635
Chapter 9.
Permutations, Combinations, and Probability
Page 636
Application: Blood Donors
Page 637
9.1.
Permutations and Combinations
Page 638
9.2.
Probability and Blood Groups
Page 647
Chapter Project: Traffic Flow
Page 663
Highlights
Page 664
Review Exercises
Page 665
Chapter Test
Page 667
Cumulative Test: Chapters 6-9
Page 668
Appendix A.
Conic Sections: Parabolas, Ellipses, and Hyperbolas
Page A-1
Conic Sections
Page A-1
Parabolas
Page A-2
Ellipses
Page A-4
Hyperbolas
Page A-6
Appendix B.
Calculator Reference
Page A-13
General Calculations
Page A-13
TI-83/83 Plus Reference
Page A-14
Answers to Odd-Numbered Exercises
Page A-20
Index of Applications
Page A-63
Index
Page A-66
The Physical Object
ID Numbers
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