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Math in Our World 4 2019 9781259969690
Math in Our World
Math in Our World

Math in Our World, 4th Edition

ISBN10: 125996969X | ISBN13: 9781259969690
By David Sobecki

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* The estimated amount of time this product will be on the market is based on a number of factors, including faculty input to instructional design and the prior revision cycle and updates to academic research-which typically results in a revision cycle ranging from every two to four years for this product. Pricing subject to change at any time.

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Mathematics in Our World, Fourth 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 Introduction to Set Theory

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 Applications of Linear Equations 

6-2 Ratio, Proportion, and Variation 

6-3 The Rectangular Coordinate System and Linear Equations in Two Variables

6-4 Functions

6-5 Quadratic, Exponential, and Logarithmic Functions 

Chapter 6 Summary 

Chapter 7: Consumer Mathematics 

7-1 Percents 

7-2 Personal Budgeting

7-3 Simple Interest

7-4 Compound Interest 

7-5 Installment Buying 

7-6 Student Loans and Home Buying

7-7 Investing in Stocks and Bonds 

Chapter 7 Summary 

Chapter 8: Measurement 

8-1 Measures of Length: Converting Units and the Metric System 

8-2 Measures of Area, Volume, and Capacity 

8-3 Measures of Weight and Temperature 

Chapter 8 Summary 

Chapter 9: Geometry 

9-1 Points, Lines, Planes and Angles 

9-2 Triangles 

9-3 Polygons and Perimeter 

9-4 Areas of Polygons and Circles

9-5 Volume and Surface Area 

9-6 Right Triangle Trigonometry 

9-7 A Brief Survey of Non-Euclidean and Other Geometries

Chapter 9 Summary 

Chapter 10: Probability and Counting Techniques 

10-1 The Fundamental Counting Principle and Permutations 

10-2 Combinations 

10-3 Basic Concepts of Probability 

10-4 Tree Diagrams, Tables, and Sample Spaces 

10-5 Probability Using Permutations and Combinations 

10-6 Odds and Expectation 

10-7 The Addition Rules for Probability 

10-8 The Multiplication Rules and Conditional Probability 

10-9 The Binomial Distribution 

Chapter 10 Summary 

Chapter 11: Statistics 

11-1 Gathering and Organizing Data

11-2 Picturing Data 

11-3 Measures of Average 

11-4 Measures of Variation 

11-5 Measures of Position 

11-6 The Normal Distribution 

11-7 Applications of the Normal Distribution 

11-8 Correlation and Regression Analysis 

Supplement: Misuses of Statistics 

Chapter 11 Summary 

Chapter 12: Voting Methods 

12-1 Preference Tables and the Plurality Method 

12-2 The Borda Count Method and the Plurality-with-Elimination Method 

12-3 The Pairwise Comparison Method and Approval Voting 

12-4 Apportionment 

12-5 Apportionment Flaws 

Chapter 12 Summary 

Chapter 13: Graph Theory 

13-1 Basic Concepts of Graph Theory 

13-2 Euler’s Theorem 

13-3 Hamilton Paths and Circuits 

13-4 Trees 

Chapter 13 Summary 

Chapter 14-Available online: Other Mathematical Systems 

14-1 Mathematical Systems and Groups 

14-2 Clock Arithmetic 

14-3 Modular Systems 

Chapter 14 Summary 

Appendix A: Area Under the Standard Normal Distribution

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

Selected Answers

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About the Author

David Sobecki

I was born and raised in Cleveland, and started college at Bowling Green State University in 1984 majoring in creative writing. Eleven years later, I walked across the graduation stage to receive a PhD in math, a strange journey indeed. After two years at Franklin and Marshall College in Pennsylvania, I came home to Ohio, accepting a tenure-track job at the Hamilton campus of Miami University. I’ve won a number of teaching awards in my career, and while maintaining an active teaching schedule, I now spend an inordinate amount of time writing textbooks and course materials. I’ve written or co-authored either seven or twelve textbooks, depending on how you count them, as well as several solutions manuals and interactive CD-ROMS. After many years as developmental math coordinator at Miami Hamilton, I share the frustration that goes along with low pass rates in the developmental math curriculum. Far too many students end up on the classic Jetson’s-style treadmill, with the abstract nature of the traditional algebra curriculum keeping them from reaching their goals. Like so many instructors across the country, I believe the time is right to move beyond the one-size-fits-all curriculum that treats students the same whether they hope to be an engineer or a pastry chef. “Because we’ve always done it that way” is NOT a good reason to maintain the status quo in our curriculum. Let’s work together to devise alternate pathways that help students to learn more and learn better while hastening their trip into credit-bearing math courses. Since my book (Math in Our World) is written for the Liberal Arts Math and Quantitative Literacy market, I think I’m in the right place at the right time to make a difference in the new and exciting pathways course. I’m in a very happy place right now: my love of teaching meshes perfectly with my childhood dream of writing. (Don’t tell my publisher this – they think I spend 20 hours a day working on textbooks – but I’m working on my first novel in the limited spare time that I have.) I’m also a former coordinator of Ohio Project NExT, as I believe very strongly in helping young college instructors focus on high-quality teaching as a primary career goal. I live in Fairfield, Ohio with my lovely wife Cat and fuzzy dogs Macleod and Tessa. When not teaching or writing, my passions include Ohio State football, Cleveland Indians baseball, heavy metal music, travel, golf, and home improvement.


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