Math in Our World
4th EditionISBN10: 125996969X
ISBN13: 9781259969690
Copyright: 2019
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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.
Program Details
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
Photo Credits
Index
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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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
Photo Credits
Index
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.
Affordability
Find out more about our affordable course material programs.
Reduce course material costs for your students while still providing full access to everything they need to be successful. It isn't too good to be true - it's Inclusive Access.
Learn more about Inclusive Access here.
When your students still want a book but don't want to keep it, McGraw-Hill's Textbook Rental program provides students with our latest editions at our most affordable hardcover prices.
Learn more about our Textbook Rental program.
Want more information?
How to Access Instructor Tools for your Course
- To get started, you'll need to visit connect.mheducation.com to sign in. (If you do not have an account, you'll need to request one from your MH rep. To find your rep – visit the Find Your Rep page).
- Then, under "Find a Title," you'll search by title, author or subject.
- Select your desired title and create a course. (Note – you do not have to create assignments, just a course instance)
- Then go to your Connect course homepage.
- In the top navigation, select library to access the instructor resources that accompany the title.
Accessibility Rubric
Creating accessible products is a priority for McGraw-Hill. We have put in place processes to make accessibility and meeting the WCAG AA guidelines part of our day-to-day development efforts and product roadmaps.
Please review our accessibility information for this specific product.
In future editions, this rubric will be reformatted to increase accessibility and usability.
McGraw-Hill sites may contain links to websites owned and operated by third parties. These links are provided as supplementary materials, and for learners’ information and convenience only. McGraw-Hill has no control over and is not responsible for the content or accessibility of any linked website.
For further information on McGraw‐Hill and Accessibility, please visit our accessibility page or contact us at accessibility@mheducation.com
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