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Fundamentals of algebraic modeling : an introduction to mathematical modeling with Algebra and statistics
Timmons, Daniel L.
اطلاعات کتابشناختی
Fundamentals of algebraic modeling : an introduction to mathematical modeling with Algebra and statistics
Author :
Timmons, Daniel L.
Publisher :
Brooks/Cole,
Pub. Year :
2010
Subjects :
Algebra. Statistics. Mathematical models.
Call Number :
QA 152 .3 .T56 2010
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Front Cover
(1)
Title Page
(2)
Copyright
(3)
ISBN-13: 9780495555094
(3)
Contents
(4)
Preface
(7)
Keys to Success
(12)
Chapter One: A REVIEW OF ALGEBRA FUNDAMENTALS
(14)
1-1 Mathematical Models
(15)
1-2 Real Numbers and Mathematical Operations
(17)
1-3 Solving Linear Equations
(27)
1-4 Formulas
(32)
1-5 Ratio and Proportion
(36)
1-6 Percents
(43)
1-7 Word Problem Strategies
(49)
Chapter Summary
(56)
Chapter Review Problems
(57)
Chapter Test
(59)
Suggested Laboratory Exercises
(60)
Chapter Two: GRAPHING
(64)
2-1 Rectangular Coordinate System
(65)
2-2 Graphing Linear Equations
(70)
2-3 Slope
(75)
2-4 Writing Equations of Lines
(86)
2-5 Applications and Uses of Graphs
(92)
Chapter Summary
(99)
Chapter Review Problems
(100)
Chapter Test
(101)
Suggested Laboratory Exercises
(101)
Chapter Three: FUNCTIONS
(108)
3-1 Functions
(109)
3-2 Using Function Notation
(118)
3-3 Linear Functions as Models
(125)
3-4 Direct and Inverse Variation
(133)
3-5 Quadratic Functions and Power Functions as Models
(140)
3-6 Exponential Functions as Models
(152)
Chapter Summary
(157)
Chapter Review Problems
(158)
Chapter Test
(160)
Suggested Laboratory Exercises
(162)
Chapter Four: MATHEMATICAL MODELS IN CONSUMER MATH
(170)
4-1 Mathematical Models in the Business World
(171)
4-2 Mathematical Models in Banking
(177)
4-3 Mathematical Models in Consumer Credit
(187)
4-4 Mathematical Models in Purchasing an Automobile
(193)
4-5 Mathematical Models in Purchasing a Home
(201)
4-6 Mathematical Models in Insurance Options and Rates
(208)
4-7 Mathematical Models in Stocks, Mutual Funds, and Bonds
(215)
4-8 Mathematical Models in Personal Income
(221)
Chapter Summary
(230)
Chapter Review Problems
(231)
Chapter Test
(233)
Suggested Laboratory Exercises
(234)
Chapter Five: ADDITIONAL APPLICATIONS OF ALGEBRAIC MODELING
(240)
5-1 Models and Patterns in Plane Geometry
(241)
5-2 Models and Patterns in Right Triangles
(249)
5-3 Models and Patterns in Art and Architecture: Perspective and Symmetry
(254)
5-4 Models and Patterns in Art, Architecture, and Nature: Scale and Proportion
(261)
5-5 Models and Patterns in Music
(269)
Chapter Summary
(276)
Chapter Review Problems
(277)
Chapter Test
(278)
Suggested Laboratory Exercises
(279)
Chapter Six: MODELING WITH SYSTEMS OF EQUATIONS
(282)
6-1 Solving Systems by Graphing
(283)
6-2 Solving Systems Algebraically
(289)
6-3 Applications of Linear Systems
(299)
6-4 Systems of Nonlinear Functions
(305)
Chapter Summary
(309)
Chapter Review Problems
(310)
Chapter Test
(311)
Suggested Laboratory Exercises
(312)
Chapter Seven: PROBABILITY MODELS
(314)
7-1 Sets and Set Theory
(315)
7-2 What Is Probability?
(319)
7-3 Theoretical Probability and Odds
(323)
7-4 Tree Diagrams
(333)
7-5 Or and And Problems
(339)
7-6 The Counting Principle, Permutations and Combinations
(347)
Chapter Summary
(355)
Chapter Review Problems
(357)
Chapter Test
(358)
Suggested Laboratory Exercises
(360)
Chapter Eight: MODELING WITH STATISTICS
(362)
8-1 Introduction to Statistics
(363)
8-2 Descriptive Statistics
(370)
8-3 Organizing and Displaying Data
(377)
8-4 Variation
(387)
8-5 Normal Curve
(392)
8-6 Scatter Diagrams and Linear Regression
(403)
Chapter Summary
(410)
Chapter Review Problems
(411)
Chapter Test
(412)
Suggested Laboratory Exercises
(414)
Appendix One: Commonly Used Calculator Keys
(420)
Calculator Practice
(420)
Appendix Two: Formulas Used in This Text
(424)
Appendix Three: Levels of Data in Statistics
(426)
Answer Key
(428)
Index
(448)
