Brooks/Cole Mathematical Excursions

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. Review 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 About the Author Richard Nation received a B.A. in mathematics from Morningside College and a M.S. degree in mathematics from the University of South Dakota. Mr. Nation also attended a National Science Foundation academic year institute in mathematics at San Diego State University. Mr. Nation taught math at Palomar College in California, where he was on the faculty for 20 years. He has over 38 years’ experience teaching mathematics at the high school and college levels. He is the co-author of several Aufmann titles. Today, Mr. Nation’s professional interests include the impact of technology on curriculum development and on the teaching of mathematics at the precalculus level. Daniel Clegg received his B.A. in Mathematics from California State University, Fullerton and his M.A. in Mathematics from UCLA. He is currently a professor of mathematics at Palomar College near San Diego, California, where he has taught for more than 20 years. Clegg co-authored BRIEF APPLIED CALCULUS with James Stewart and also assisted Stewart with various aspects of his calculus texts and ancillaries for almost 20 years. Ric