Description

In a Liberal Arts Math course, a common question students ask is, “Why do I have to know this?”  A Survey of Mathematics with Applications continues to be a best-seller because it shows students how we use mathematics in our daily lives and why this is important. The Ninth Edition further emphasizes this with the addition of new “Why This Is Important” sections throughout the text. Real-life and up-to-date examples motivate the topics throughout, and a wide range of exercises help students to develop their problem-solving and critical thinking skills.

 

Angel, Abbott, and Runde present the material in a way that is clear and accessible to non-math majors. The text includes a wide variety of math topics, with contents that are flexible for use in any one- or two-semester Liberal Arts Math course.

Features

• Seeing the relevance of the material motivates students to learn.
  • NEW! When presenting the math concepts, the authors emphasizeWhy This Is Important to help students make the connection between their lives and the mathematics they are learning. Why This Is Important notes appear in all chapter and section opener applications as well as the Mathematics Today features.
  • NEW! Recreational Math boxes show how math is not only relegated to study environments, but can be entertaining as well. In addition, Recreational Mathematics exercises appear in the exercise sets so that they can be assigned as homework.
  • Mathematics Today boxes discuss current, real-life uses of the mathematical concept in the chapter. Each box ends with Why This Is Important.
  • Chapter and section openers, many of which are updated for the new edition, incorporate applications as a way to motivate students. For example, the opener for Chapter 3 (Logic) demonstrates how logic has become important in electronic devices such as cell phones and digital cameras.
  • Did You Know? are thoughtful boxes that highlight the connections of mathematics to a broad variety of disciplines including history, the arts, science, and technology.
  • Profiles in Mathematics present the stories of people who have advanced the discipline of mathematics in brief historical sketches and vignettes.
• Support for problem solving and exam preparation helps students achieve success in the course.
  • NEW! Chapter Summaries are redesigned in a chart format to make it easier for students to study and review. For each concept, definition, or idea presented, students are directed to the exact place in the text where the item is discussed.
  • Problem solving begins in Chapter 1 where students are introduced to problem-solving techniques and critical thinking. Problem-solving exercises help develop these skills throughout the text.
  • Critical thinking skills are developed throughout the book, including the sections on inductive reasoning, estimation, and dimensional analysis. Challenge Problems also appear in the exercise sets to test a student’s ability to think critically.
  • Timely Tips are easy-to-identify boxes that help students with concept comprehension or relate the material to other sections of the book.
  • Procedures are boxed and set apart from the text for easy identification and future reference.
• Extensive opportunities to practice andapply the concepts help students learn by doing. In the Ninth Edition, approximately 40% of the examples and exercises are new or updated.
  • Exercise sets now begin with fill-in-the-blank Warm Up Exercises. After that, the exercises include Practice the Skills, Problem Solving, Challenge Problem/Group Activity, Recreational Mathematics, and Internet/Research Activities.
  • Group Projects at the end of each chapter provide an opportunity for student collaboration.
  • Review Exercises are organized by section, helping students see where they are proficient and where they need additional study.In the Ninth Edition,Chapter Tests each contain 20 questions to provide consistency in exam preparation.
  • MyMathLab®, available for course management and online homework, has increased exercise coverage, Ready To Go course options that require no set-up time, and additional functionality to make it easier to teach the course. Ask your Pearson representative for a demo, or visit www.mymathlab.com for more information.
• Technology Tips explain how students can use calculators or Microsoft® Excel® to work certain types of application problems. <

New to this Edition

• Students are more motivated when they see the relevance of what they are learning. The text continues to evolve to incorporate ways to engage today’s students.
  • When presenting the math concepts, the authors emphasizeWhy This Is Important to help students make the connection between their lives and the mathematics they are learning. Why This Is Important notes appear in all chapter and section-opener applications as well as the Mathematics Today features.

• Chapter and section openers, many of which are updated for the new edition, incorporate applications as a way to motivate students. For example, the opener for Chapter 3 (Logic) demonstrates how logic has become important in electronic devices such as cell phones and digital cameras.
• Recreational Math boxes show how math is not only relegated to study environments, but can be entertaining as well. In addition, Recreational Mathematics exercises appear in the exercise sets so that they can be assigned as homework.
• Chapter Summaries are redesigned in a chart format to make it easier for students to study and review. For each concept, definition, or idea presented, students are directed to the exact place in the text where the item is discussed.

• Exercise sets are thoroughly updated and revised to help instructors assign homework and to give students ample practice opportunities.
  • Approximately 40% of the examples and exercises are revised to reflect current data and topics of interest to students.
  • Exercises now begin with fill-in-the-blank Warm Up Exercises.
  • Chapter Tests have been reorganized to include 20 questions for consistency in length, while thoroughly covering the content covered in the chapter.
  • MyMathLab®, available for course management and online homework, has increased exercise coverage, Ready To Go course options that require no set-up time, and additional functionality to make it easier to teach the course. Ask your Pearson representative for a demo, or visit www.mymathlab.com for more information.
• Content has been revised and added throughout to reflect today’s course needs.
  • Chapter 1, “Critical Thinking Skills,” includes exciting and current examples and exercises.
  • Chapter 2, “Sets,” includes many new applications of sets to a greater variety of topics such as sales of the iPod® and other electronic devices.
  • Chapter 3, “Logic,” has new exercises and a greater variety of exercises. The authors include several puzzles, Sudoku and Kakuro, as Recreational Mathematics exercises.
  • Chapter 4, “Systems of Numeration,” contains information on the bases 2, 8, and 16, which have many applications in modern devices such as smart phones, cameras, and high-definition televisions.
  • Chapter 5, “Number Theory and the Real Number System,” has updated information regarding the largest prime number found and the most calculated digits of pi. Exercise sets were updated to reflect current economic numbers involving the national debt, the gross domestic product, and population growth.
  • Chapter 6, “Algebra, Graphs, and Functions,” has updated examples and exercises dealing with real-life situations. Material on exponential equations was moved from Section 6.3 to Section 6.10 and updated to include examples and exercises on population growth.
  • Chapter 7, “Systems of Linear Equations and Inequalities,” contains many updated examples and exercises.
  • Chapter 8, “The Metric System,” has many new up-to-date examples, exercises, and photographs of real-life metric use throughou

Table of Contents

1. Critical Thinking Skills

1.1 Inductive Reasoning

1.2 Estimation

1.3 Problem Solving

 

2. Sets

2.1 Set Concepts

2.2 Subsets

2.3 Venn Diagrams and Set Operations

2.4 Venn Diagrams with Three Sets and Verification of Equality of Sets

2.5 Applications of Sets

2.6 Infinite Sets

 

3. Logic

3.1 Statements and Logical Connectives

3.2 Truth Tables for Negation, Conjunction, and Disjunction

3.3 Truth Tables for the Conditional and Biconditional

3.4 Equivalent Statements

3.5 Symbolic Arguments

3.6 Euler Diagrams and Syllogistic Arguments

3.7 Switching Circuits

 

4. Systems of Numeration

4.1 Additive, Multiplicative, and Ciphered Systems of Numeration

4.2 Place-Value or Positional-Value Numeration Systems

4.3 Other Bases

4.4 Computation In Other Bases

4.5 Early Computational Methods

 

5. Number Theory and the Real Number System

5.1 Number Theory

5.2 The Integers

5.3 The Rational Numbers

5.4 The Irrational Numbers and the Real Number System

5.5 Real Numbers and Their Properties

5.6 Rules of Exponents and Scientific Notation

5.7 Arithmetic and Geometric Sequences

5.8 Fibonacci Sequence

 

6. Algebra, Graphs, and Functions

6.1 Order of Operations

6.2 Linear Equations in One Variable

6.3 Formulas

6.4 Applications of Linear Equations In One Variable

6.5 Variation

6.6 Linear Inequalities

6.7 Graphing Linear Equations

6.8 Linear Inequalities In Two Variables

6.9 Solving Quadratic Equations By Using Factoring and By Using the Quadratic Formula

6.10 Functions and Their Graphs

 

7. Systems of Linear Equations and Inequalities

7.1 Systems of Linear Equations

7.2 Solving Systems of Linear Equations by the Substitution and Addition Methods

7.3 Matrices

7.4 Solving Systems of Linear Equations by Using Matrices

7.5 Systems of Linear Inequalities

7.6 Linear Programming

 

8. The Metric System

8.1 Basic Terms and Conversions Within the Metric System

8.2 Length, Area, and Volume

8.3 Mass and Temperature

8.4 Dimensional Analysis and Conversions To and From the Metric System

 

9. Geometry

9.1 Points, Lines, Planes, and Angles

9.2 Polygons

9.3 Perimeter and Area

9.4 Volume and Surface Area

9.5 Transformational Geometry, Symmetry, and Tessellations

9.6 Topology

9.7 Non-Euclidean Geometry and Fractal Geometry

 

10. Mathematical Systems

10.1 Groups

10.2 Finite Mathematical Systems

10.3 Modular Arithmetic

 

11. Consumer Mathematics

11.1 Percent

11.2 Personal Loans and Simple Interest

11.3 Compound Interest

11.4 Installment Buying

11.5 Buying A House With A Mortgage

11.6 Ordinary Annuities, Sinking Funds, and Retirement Investments

 

12. Probability

12.1 The Nature of Probability

12.2 Theoretical Probability

12.3 Odds

12.4 Expected Value (Expectation)

12.5 Tree Diagrams

12.6 OR and AND Problems

12.7 Conditional Probability

12.8 The Counting Principle and Permutations

12.9 Combinations

12.10 Solving Probability Problems By Using Combinations

12.11 Binomial Probability Formula

 

13. Statistics

13.1 Sampling Techniques

13.2 The Misuses of Statistics

13.3 Frequency Distributions and Statistical Graphs

13.4 Measures of Central Tendency

13.5 Measures of Dispersion

13.6 The Normal Curve

13.7 Linear Correlation and Regression

 

14. Graph Theory

14