# Math in Our World

3^{rd}Edition

ISBN10: 0073519677

ISBN13: 9780073519678

Copyright: 2015

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### Program Details

# Mathematics in Our World, Third Edition

### Chapter 1: Problem Solving

#### 1-1 The Nature of Mathematical Reasoning

#### 1-2 Estimation and Interpreting Graphs

#### 1-3 Problem Solving Strategies

#### Chapter 1 Summary

### Chapter 2: Sets

#### 2-1 The Nature of Sets

#### 2-2 Subsets and Set Operations

#### 2-3 Using Venn Diagrams to Study Set Operations

#### 2-4 Using Sets to Solve Problems

#### 2-5 Infinite Sets

#### Chapter 2 Summary

### Chapter 3: Logic

#### 3-1 Statements and Quantifiers

#### 3-2 Truth Tables

#### 3-3 Types of Statements

#### 3-4 Logical Arguments

#### 3-5 Euler Circles

#### Chapter 3 Summary

### Chapter 4: Numeration Systems

#### 4-1 Early and Modern Numeration Systems

#### 4-2 Tools and Algorithms in Arithmetic

#### 4-3 Base Number Systems

#### 4-4 Operations in Base Number Systems

#### Chapter 4 Summary

### Chapter 5: The Real Number System

#### 5-1 The Natural Numbers

#### 5-2 The Integers

#### 5-3 The Rational Numbers

#### 5-4 The Irrational Numbers

#### 5-5 The Real Numbers

#### 5-6 Exponents and Scientific Notation

#### 5-7 Arithmetic and Geometric Sequences

#### Chapter 5 Summary

### Chapter 6: Topics in Algebra

#### 6-1 The Fundamentals of Algebra

#### 6-2 Solving Linear Equations

#### 6-3 Applications of Linear Equations

#### 6-4 Ratio, Proportion, and Variation

#### 6-5 Solving Linear Inequalities

#### 6-6 Solving Quadratic Equations

#### Chapter 6 Summary

### Chapter 7: Additional Topics in Algebra

#### 7-1 The Rectangular Coordinate System and Linear Equations in Two Variables

#### 7-2 Systems of Linear Equations

#### 7-3 Linear Inequalities

#### 7-4 Linear Programming

#### 7-5 Functions

#### 7-6 Quadratic, Exponential, and Logarithmic Functions

#### 7-7 Available Online: Solving Systems of Linear Equations Using Matrices

#### Chapter 7 Summary

### Chapter 8: Consumer Mathematics

#### 8-1 Percents

#### 8-2 Simple Interest

#### 8-3 Compound Interest

#### 8-4 Installment Buying

#### 8-5 Student Loans and Home Buying

#### 8-6 Investing in Stocks and Bonds

#### Chapter 8 Summary

### Chapter 9: Measurement

#### 9-1 Measures of Length: Converting Units and the Metric System

#### 9-2 Measures of Area, Volume, and Capacity

#### 9-3 Measures of Weight and Temperature

#### Chapter 9 Summary

### Chapter 10: Geometry

#### 10-1 Points, Lines, Planes and Angles

#### 10-2 Triangles

#### 10-3 Polygons and Perimeter

#### 10-4 Areas of Polygons and Circles

#### 10-5 Volume and Surface Area

#### 10-6 Right Triangle Trigonometry

#### 10-7 A Brief Survey of Non-Euclidean and

#### Transformational Geometries

#### Chapter 10 Summary

### Chapter 11: Probability and Counting Techniques

#### 11-1 The Fundamental Counting Rule and Permutations

#### 11-2 Combinations

#### 11-3 Basic Concepts of Probability

#### 11-4 Tree Diagrams, Tables, and Sample Spaces

#### 11-5 Probability Using Permutations and Combinations

#### 11-6 Odds and Expectation

#### 11-7 The Addition Rules for Probability

#### 11-8 The Multiplication Rules and Conditional

#### Probability

#### 11-9 The Binomial Distribution

#### Chapter 11 Summary

### Chapter 12: Statistics

#### 12-1 Gathering and Organizing Data

#### 12-2 Picturing Data

#### 12-3 Measures of Average

#### 12-4 Measures of Variation

#### 12-5 Measures of Position

#### 12-6 The Normal Distribution

#### 12-7 Applications of the Normal Distribution

#### 12-8 Correlation and Regression Analysis

#### Supplement: Misuses of Statistics

#### Chapter 12 Summary

### Chapter 13: Voting Methods

#### 13-1 Preference Tables and the Plurality Method

#### 13-2 The Borda Count Method and the Plurality-with-Elimination Method

#### 13-3 The Pairwise Comparison Method and Approval Voting

#### 13-4 Apportionment

#### 13-5 Apportionment Flaws

#### Chapter 13 Summary

### Chapter 14: Graph Theory

#### 14-1 Basic Concepts of Graph Theory

#### 14-2 Euler’s Theorem

#### 14-3 Hamilton Paths and Circuits

#### 14-4 Trees

#### Chapter 14 Summary

### Chapter 15-Available online: Other Mathematical Systems

#### 15-1 Mathematical Systems and Groups

#### 15-2 Clock Arithmetic

#### 15-3 Modular Systems

#### Chapter 15 Review

#### Appendix A: Area Under the Standard Normal Distribution

#### Appendix B-Available Online: Using the TI-84 Plus Graphing Calculator

#### Selected Answers

#### Additional Exercise Sets

#### Answers to Additional Exercise Sets

#### Photo Credits

#### Index

# Mathematics in Our World, Third Edition

### Chapter 1: Problem Solving

#### 1-1 The Nature of Mathematical Reasoning

#### 1-2 Estimation and Interpreting Graphs

#### 1-3 Problem Solving Strategies

#### Chapter 1 Summary

### Chapter 2: Sets

#### 2-1 The Nature of Sets

#### 2-2 Subsets and Set Operations

#### 2-3 Using Venn Diagrams to Study Set Operations

#### 2-4 Using Sets to Solve Problems

#### 2-5 Infinite Sets

#### Chapter 2 Summary

### Chapter 3: Logic

#### 3-1 Statements and Quantifiers

#### 3-2 Truth Tables

#### 3-3 Types of Statements

#### 3-4 Logical Arguments

#### 3-5 Euler Circles

#### Chapter 3 Summary

### Chapter 4: Numeration Systems

#### 4-1 Early and Modern Numeration Systems

#### 4-2 Tools and Algorithms in Arithmetic

#### 4-3 Base Number Systems

#### 4-4 Operations in Base Number Systems

#### Chapter 4 Summary

### Chapter 5: The Real Number System

#### 5-1 The Natural Numbers

#### 5-2 The Integers

#### 5-3 The Rational Numbers

#### 5-4 The Irrational Numbers

#### 5-5 The Real Numbers

#### 5-6 Exponents and Scientific Notation

#### 5-7 Arithmetic and Geometric Sequences

#### Chapter 5 Summary

### Chapter 6: Topics in Algebra

#### 6-1 The Fundamentals of Algebra

#### 6-2 Solving Linear Equations

#### 6-3 Applications of Linear Equations

#### 6-4 Ratio, Proportion, and Variation

#### 6-5 Solving Linear Inequalities

#### 6-6 Solving Quadratic Equations

#### Chapter 6 Summary

### Chapter 7: Additional Topics in Algebra

#### 7-1 The Rectangular Coordinate System and Linear Equations in Two Variables

#### 7-2 Systems of Linear Equations

#### 7-3 Linear Inequalities

#### 7-4 Linear Programming

#### 7-5 Functions

#### 7-6 Quadratic, Exponential, and Logarithmic Functions

#### 7-7 Available Online: Solving Systems of Linear Equations Using Matrices

#### Chapter 7 Summary

### Chapter 8: Consumer Mathematics

#### 8-1 Percents

#### 8-2 Simple Interest

#### 8-3 Compound Interest

#### 8-4 Installment Buying

#### 8-5 Student Loans and Home Buying

#### 8-6 Investing in Stocks and Bonds

#### Chapter 8 Summary

### Chapter 9: Measurement

#### 9-1 Measures of Length: Converting Units and the Metric System

#### 9-2 Measures of Area, Volume, and Capacity

#### 9-3 Measures of Weight and Temperature

#### Chapter 9 Summary

### Chapter 10: Geometry

#### 10-1 Points, Lines, Planes and Angles

#### 10-2 Triangles

#### 10-3 Polygons and Perimeter

#### 10-4 Areas of Polygons and Circles

#### 10-5 Volume and Surface Area

#### 10-6 Right Triangle Trigonometry

#### 10-7 A Brief Survey of Non-Euclidean and

#### Transformational Geometries

#### Chapter 10 Summary

### Chapter 11: Probability and Counting Techniques

#### 11-1 The Fundamental Counting Rule and Permutations

#### 11-2 Combinations

#### 11-3 Basic Concepts of Probability

#### 11-4 Tree Diagrams, Tables, and Sample Spaces

#### 11-5 Probability Using Permutations and Combinations

#### 11-6 Odds and Expectation

#### 11-7 The Addition Rules for Probability

#### 11-8 The Multiplication Rules and Conditional

#### Probability

#### 11-9 The Binomial Distribution

#### Chapter 11 Summary

### Chapter 12: Statistics

#### 12-1 Gathering and Organizing Data

#### 12-2 Picturing Data

#### 12-3 Measures of Average

#### 12-4 Measures of Variation

#### 12-5 Measures of Position

#### 12-6 The Normal Distribution

#### 12-7 Applications of the Normal Distribution

#### 12-8 Correlation and Regression Analysis

#### Supplement: Misuses of Statistics

#### Chapter 12 Summary

### Chapter 13: Voting Methods

#### 13-1 Preference Tables and the Plurality Method

#### 13-2 The Borda Count Method and the Plurality-with-Elimination Method

#### 13-3 The Pairwise Comparison Method and Approval Voting

#### 13-4 Apportionment

#### 13-5 Apportionment Flaws

#### Chapter 13 Summary

### Chapter 14: Graph Theory

#### 14-1 Basic Concepts of Graph Theory

#### 14-2 Euler’s Theorem

#### 14-3 Hamilton Paths and Circuits

#### 14-4 Trees

#### Chapter 14 Summary

### Chapter 15-Available online: Other Mathematical Systems

#### 15-1 Mathematical Systems and Groups

#### 15-2 Clock Arithmetic

#### 15-3 Modular Systems

#### Chapter 15 Review

#### Appendix A: Area Under the Standard Normal Distribution

#### Appendix B-Available Online: Using the TI-84 Plus Graphing Calculator

#### Selected Answers

#### Additional Exercise Sets

#### Answers to Additional Exercise Sets

#### Photo Credits

#### Index

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