Math In Our World, Media Update with Connect Access Card Hosted by ALEKS Corp. Access Card

by Sobecki, David; Bluman, Allan

• ISBN13: 9780077928490
• ISBN10: 0077928490
• Edition: 2nd
• Format: Package
• Publisher: McGraw-Hill Education

Summary

The author team of Dave Sobecki, Angela Matthews, and Allan Bluman have worked together to create the second edition of Mathematics in Our World, an engaging text catered to the needs of today's liberal arts mathematics students. This revision focuses strict attention to a clear and friendly writing style, integration of numerous relevant real-world examples and applications, and implementation of the step-by-step approach used for years in Bluman's Elementary Statistics: A Step by Step Approach. The result is an exceptionally engaging text that is able to both effectively and creatively convey the basic concepts fundamental to a liberal arts math curriculum for even the most hesitant student.

Table of Contents

Mathematics in Our World, Media UpdateSecond Edition

Chapter 1: Problem Solving

1-1 The Nature of Mathematical Reasoning

1-2 Estimation and Interpreting Graphs

1-3 Problem Solving

Chapter 1 Review

Chapter 2: Sets

2-1 The Nature of Sets

2-2 Subsets and Set Operations

2-3 Venn Diagrams

2-4 Using Sets to Solve Problems

2-5 Infinite Sets

Chapter 2 Review

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 Review

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 Review

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 Review

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 Review

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 Solving Systems of Linear Equations Using Matrices

7-4 Linear Inequalities

7-5 Linear Programming

7-6 Functions

7-7 Linear, Quadratic, and Exponential Functions

Supplement: An Application of Functions--Sound

Chapter 7 Review

Chapter 8: Consumer Mathematics

8-1 Percents

8-2 Simple Interest

8-3 Compound Interest

8-4 Installment Buying

8-5 Home Ownership

8-6 Stocks and Bonds

Chapter 8 Review

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 Review

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 Review

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 Review

Chapter 12: Statistics

12-1 The Nature of Statistics 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 Review

Chapter 13: Other Mathematical Systems

13-1 Mathematical Systems and Groups

13-2 Clock Arithmetic

13-3 Modular Systems

Chapter 13 Review

Chapter 14: Voting Methods

14-1 Preference Tables and the Plurality Method

14-2 The Borda Count Method and the Plurality-with-Elimination Method

14-3 The Pairwise Comparison Method and Approval Voting

14-4 Apportionment

14-5 Apportionment Flaws

Chapter 14 Review

Chapter 15: Graph Theory

15-1 Basic Concepts of Graph Theory

15-2 Euler’s Theorem

15-3 Hamilton Paths and Circuits

15-4 Trees

Chapter 15 Review

Appendix A: Area Under the Standard Normal Distribution

Selected Answers

Additional Exercise Sets

Answers to Additional Exercise Sets

Photo Credits

Index