Synopses & Reviews
By presenting problem solving in purposeful and meaningful contexts, Mathematical Excursions, 2/e, provides students in the Liberal Arts course with a glimpse into the nature of mathematics and how it is used to understand our world. Highlights of the book include the proven Aufmann Interactive Method and multi-part Excursion exercises that emphasize collaborative learning. An extensive technology program provides instructors and students with a comprehensive set of support tools.
- New Content new to this edition includes a subsection on Reading and Interpreting Graphs, a section on Right Triangle Trigonometry, and a section on Stocks, Bonds, and Annuities.
- New Online algebra review appendix helps students review prerequisite algebra concepts.
- An Excursion activity and corresponding Excursion Exercises conclude each section, providing concept reinforcement and opportunities for in-class cooperative work, hands-on learning, and development of critical-thinking skills.
- Aufmann Interactive Method ensures that students try concepts and manipulate real-life data as they progress through the material. Every objective contains at least one set of matched-pair examples, the first of which is a completely worked-out example with an annotated solution. The second problem, called Check Your Progress, is for the student to try. Each problem includes a reference to a fully worked-out solution in the back of the text.
- A section on ProblemSolving Strategies in Chapter 1 introduces students to the inductive and deductive reasoning strategies they will use throughout the text.
- Question/Answer feature encourages students to pause and think about the current discussion and to answer the question. For immediate reinforcement, the Answer is provided in a footnote on the same page.
- Carefully developed exercise sets emphasize skill building, skill maintenance, concepts, and applications. Icons are used to identify various types of exercises, including writing, data analysis, graphing calculator, and web exercises.
- Extension exercises at the end of each exercise set include Critical Thinking, Cooperative Learning, and Explorations, which may require Internet or library research.
- Math Matters feature throughout the text helps to motivate students by demonstrating how and why math is applicable to contemporary, real-life situations.
- Variety of supporting margin notes includes Take Note, alerting students to a concept requiring special attention; Point of Interest, offering motivating contextual information; Historical Notes, providing background information or vignettes of individuals responsible for major advancements in their field; and Calculator Notes, providing point-of-use tips.
- Chapter-ending resources include a Chapter Summary with Key Words and Essential Concepts; Chapter Review Exercises (answers available in a special section), and a Chapter Test.
Synopsis
By presenting problem solving in purposeful and meaningful contexts, Mathematical Excursions, 2/e, provides students in the Liberal Arts course with a glimpse into the nature of mathematics and how it is used to understand our world. Highlights of the book include the proven Aufmann Interactive Method and multi-part Excursion exercises that emphasize collaborative learning. An extensive technology program provides instructors and students with a comprehensive set of support tools.New Content new to this edition includes a subsection on Reading and Interpreting Graphs, a section on Right Triangle Trigonometry, and a section on Stocks, Bonds, and Annuities.New Online algebra review appendix helps students review prerequisite algebra concepts.An Excursion activity and corresponding Excursion Exercises conclude each section, providing concept reinforcement and opportunities for in-class cooperative work, hands-on learning, and development of critical-thinking skills.Aufmann Interactive Method ensures that students try concepts and manipulate real-life data as they progress through the material. Every objective contains at least one set of matched-pair examples, the first of which is a completely worked-out example with an annotated solution. The second problem, called Check Your Progress, is for the student to try. Each problem includes a reference to a fully worked-out solution in the back of the text.A section on Problem Solving Strategies in Chapter 1 introduces students to the inductive and deductive reasoning strategies they will use throughout the text.Question/Answer feature encourages students to pause and think about the current discussion and toanswer the question. For immediate reinforcement, the Answer is provided in a footnote on the same page.Carefully developed exercise sets emphasize skill building, skill maintenance, concepts, and applications. Icons are used to identify various types of exercises, including writing, data analysis, graphing calculator, and web exercises.Extension exercises at the end of each exercise set include Critical Thinking, Cooperative Learning, and Explorations, which may require Internet or library research.Math Matters feature throughout the text helps to motivate students by demonstrating how and why math is applicable to contemporary, real-life situations.Variety of supporting margin notes includes Take Note, alerting students to a concept requiring special attention; Point of Interest, offering motivating contextual information; Historical Notes, providing background information or vignettes of individuals responsible for major advancements in their field; and Calculator Notes, providing point-of-use tips.Chapter-ending resources include a Chapter Summary with Key Words and Essential Concepts; Chapter Review Exercises (answers available in a special section), and a Chapter Test.
Synopsis
By presenting problem solving in purposeful and meaningful contexts, Mathematical Excursions, 2/e, provides students in the Liberal Arts course with a glimpse into the nature of mathematics and how it is used to understand our world. Highlights of the book include the proven Aufmann Interactive Method and multi-part Excursion exercises that emphasize collaborative learning. An extensive technology program provides instructors and students with a comprehensive set of support tools.
About the Author
Richard Aufmann is the lead author of two bestselling developmental math series and a bestselling college algebra and trigonometry series, as well as several derivative math texts. He received a BA in mathematics from the University of California, Irvine, and an MA in mathematics from California State University, Long Beach. Mr. Aufmann taught math, computer science, and physics at Palomar College in California, where he was on the faculty for 28 years. His textbooks are highly recognized and respected among college mathematics professors. Today, Mr. Aufmann's professional interests include quantitative literacy, the developmental math curriculum, and the impact of technology on curriculum development. Joanne Lockwood received a BA in English Literature from St. Lawrence University and both an MBA and a BA in mathematics from Plymouth State University. Ms. Lockwood taught at Plymouth State University and Nashua Community College in New Hampshire, and has over 20 years' experience teaching mathematics at the high school and college level. Ms. Lockwood has co-authored two bestselling developmental math series, as well as numerous derivative math texts and ancillaries. Ms. Lockwood's primary interest today is helping developmental math students overcome their challenges in learning math. Richard Nation is Professor of Mathematics at Palomar College. He is the co-author of several Aufmann titles.
Table of Contents
Each chapter concludes with a chapter summary, a chapter review, and a chapter test. 1. Problem Solving 1.1 Inductive and Deductive Reasoning 1.2 Problem Solving with Patterns 1.3 Problem-Solving Strategies 2. Sets 2.1 Basic Properties of Sets 2.2 Complements, Subsets, and Venn Diagrams 2.3 Set Operations 2.4 Applications of Sets 2.5 Infinite Sets 3. Logic 3.1 Logic Statements and Quantifiers 3.2 Truth Tables, Equivalent Statements, and Tautologies 3.3 The Conditional and the Biconditional 3.4 The Conditional and Related Statements 3.5 Arguments 3.6 Euler Diagrams 4. Numeration Systems and Number Theory 4.1 Early Numeration Systems 4.2 Place-Value Systems 4.3 Different Base Systems 4.4 Arithmetic in Different Bases 4.5 Prime Numbers 4.6 Topics from Number Theory 5. Applications of Equations 5.1 First-Degree Equations and Formulas 5.2 Rate, Ratio, and Proportion 5.3 Percent 5.4 Second-Degree Equations 6. Applications of Functions 6.1 Rectangular Coordinates and Functions 6.2 Properties of Linear Functions 6.3 Finding Linear Models 6.4 Quadratic Functions 6.5 Exponential Functions 6.6 Logarithmic Functions 7. Mathematical Systems 7.1 Modular Arithmetic 7.2 Applications of Modular Arithmetic 7.3 Introduction to Group Theory 8. Geometry 8.1 Basic Concepts of Euclidean Geometry 8.2 Perimeter and Area of Plane Figures 8.3 Properties of Triangles 8.4 Volume and Surface Area 8.5 Introduction to Trigonometry 8.6 Non-Euclidean Geometry 8.7 Fractals 9. The Mathematics of Graphs 9.1 Traveling Roads and Visiting Cities 9.2 Efficient Routes 9.3 Planarity and Euler's Formula 9.4 Map Coloring and Graphs 10. The Mathematics of Finance 10.1 Simple Interest 10.2 Compound Interest 10.3 Credit Cards and Consumer Loans 10.4 Stocks, Bonds, and Mutual Funds 10.5 Home Ownership 11. Combinatorics and Probability 11.1 The Counting Principle 11.2 Permutations and Combinations 11.3 Probability and Odds 11.4 Addition and Complement Rules 11.5 Conditional Probability 11.6 Expectation 12. Statistics 12.1 Measures of Central Tendency 12.2 Measures of Dispersion 12.3 Measures of Relative Position 12.4 Normal Distributions 12.5 Linear Regression and Correlation 13. Apportionment and Voting 13.1 Introduction to Apportionment 13.2 Introduction to Voting 13.3 Weighted Voting Systems Appendix: The Metric System of Measurement Web Appendix: Algebra Review