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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 onReading and Interpreting Graphs,a section onRight Triangle Trigonometry,and a section onStocks, Bonds, and Annuities. New!Online algebra review appendix helps students review prerequisite algebra concepts. AnExcursionactivity and correspondingExcursion Exercisesconclude 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, calledCheck Your Progress,is for the student to try. Each problem includes a reference to afully worked-out solutionin 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/Answerfeature 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 Mattersfeature 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 includesTake 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; andCalculator Notes,providing point-of-use tips. Chapter-ending resources include aChapter SummarywithKey WordsandEssential Concepts; Chapter Review Exercises(answers available in a special section), and aChapter Test.
Table of Contents
|Inductive and deductive reasoning|
|Problem solving with patterns|
|Basic properties of sets|
|Complements, subsets, and venn diagrams|
|Applications of sets|
|Logic statements and quantifiers|
|Truth tables, equivalent statements, and tautologies|
|The conditional and the biconditional|
|The conditional and related statements|
|Numeration Systems and Number Theory|
|Early numeration systems|
|Different base systems|
|Arithmetic in different bases|
|Topics from number theory|
|Applications of Equations|
|Rate, ratio, and proportion|
|Applications of Functions|
|Rectangular coordinates and functions|
|Properties of linear functions|
|Finding linear models|
|Applications of modular arithmetic|
|Introduction to group theory|
|Basic concepts of Euclidean geometry|
|Perimeter and area of plane figures|
|Properties of triangles|
|Volume and surface area|
|Introduction to trigonometry|
|The Mathematics of Graphs|
|Traveling roads and visiting cities|
|Planarity and Euler's formula|
|Map coloring and graphs|
|The Mathematics of Finance|
|Credit cards and consumer loans|
|Stocks, bonds, and mutual funds|
|Combinatorics and Probability|
|The counting principle|
|Permutations and combinations|
|Probability and odds|
|Addition and complement rules|
|Measures of central tendency|
|Measures of dispersion|
|Measures of relative position|
|Linear regression and correlation|
|Apportionment and Voting|
|Introduction to apportionment|
|Introduction to voting|
|Weighted voting systems|
|Table of Contents provided by Publisher. All Rights Reserved.|