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Overview

Written for the Math for Liberal Arts course, TOPICS IN CONTEMPORARY MATHEMATICS helps students see math at work in the world by presenting problem solving in purposeful and meaningful contexts. Many of the problems in the text demonstrate how math relates to subjects—such as sociology, psychology, business, and technology—that generally interest students. This Enhanced Edition includes instant access to WebAssign®, the most widely-used and reliable homework system. WebAssign® presents over 500 problems, as well as links to relevant textbook sections, that help students grasp the concepts needed to succeed in this course. As an added bonus, the Start Smart Guide has been bound into this text. This guide contains instructions to help students learn the basics of WebAssign quickly.

Ignacio Bello, University of South Florida

Ignacio Bello attended the University of South Florida (USF), where he earned a B.A. and M.A. in Mathematics. He began teaching at USF in 1967, and in 1971 he became a member of the faculty and Coordinator of the Math and Sciences Department ay Hillsborough Community College (HCC). Professor Bello instituted the USF/HCC remedial program, which started with 17 students taking Intermediate Algebra and grew to more than 800 students with courses covering Developmental English, Reading, and Mathematics. In addition to Topics in Contemporary Mathematics, Professor Bello has written many other books that span the mathematics curriculum, many of which have been translated to Spanish. Professor Bello is featured in three television programs on the award-winning Education Channel. He helped create and develop the USF Mathematics department website, which serves as support for the Finite Math, College Algebra, Intermediate Algebra, Introductory Algebra, and CLAST classes at USF. Professor Bello is a member of the Mathematical Association of America (MAA) and the American Mathematical Association of Two-Year Colleges (AMATYC). He has given many presentations regarding the teaching of mathematics at the local, state, and national levels.

Jack R. Britton, Late of University of South Florida

Anton Kaul, California Polytechnic State University

  • This Enhanced Edition includes instant access to WebAssign®, the most widely-used and reliable homework system. WebAssign® presents over 500 problems, as well as links to relevant textbook sections, that help students grasp the concepts needed to succeed in this course. As an added bonus, the Start Smart Guide has been bound into this text. This guide contains instructions to help students learn the basics of WebAssign quickly.
  • New! Media support now includes CL Testing (powered by Diploma), a computerized database that provides instructors with algorithmic test items; instructional DVDs with closed captioning that cover all sections of the text; and Eduspace, powered by Blackboard, Houghton Mifflin’s online learning environment and course management system.
  • New! Throughout the text, applications have been replaced and revised for currency and student interest.
  • New! The author’s inclusion of a new section that covers stocks, bonds, and mutual funds engages students and further helps them see the connection between mathematics and the real world.
  • The text incorporates suggestions of AMATYC’s Standards for Introductory College Mathematics. For instance, the authors de-emphasize the more abstract and theoretical aspects of the subject matter.
  • A unique problem-solving approach emphasized throughout the text helps students learn the mathematical skills that will benefit them in their lives and careers. Using the RSTUV method (Read, Select, Think, Use, and Verify), this approach guides students through problems and includes references to similar problems in the exercise set.
  • A strong technology focus motivates students and shows them different ways in which mathematics can be applied. Web references and Web It exercises in the text offer students ways to utilize the Internet as an educational and creative tool to study mathematical concepts. Graph It, a feature found in the book margins, provides step-by-step directions for solving specific examples using the TI-83 graphing calculator. The Online Study Center for students and Online Teaching Center for instructors provide even more technology support, including up-to-date web links that correlate to topics covered in the textbook.
Each chapter concludes with a Summary, Research Questions, a Practice Test, and Answers.
1. PROBLEM SOLVING.
Inductive Reasoning. Estimation: A Problem Solving Tool. Graph Interpretation: A Problem-Solving Tool.
2. SETS.
Sets: A Problem-Solving Tool. Set Operations. Venn Diagrams. The Number of Elements in a Set: A Problem-Solving Tool. Infinite Sets.
3. LOGIC.
Statements. Truth Tables: A Problem-Solving Tool. The Conditional and the Biconditional. Variations of the Conditional and Implications. Euler Diagrams: A Problem-Solving Tool. Truth Tables and Validity Arguments. Switching Networks: A Problem-Solving Tool.
4. NUMERATION SYSTEMS.
Egyptian, Babylonian, and Roman Numeration Systems. The Hindu-Arabic (Decimal) System. Number Systems with Bases Other Than 10. Binary Arithmetic. Octal and Hexadecimal Arithmetic.
5. NUMBER THEORY AND THE REAL NUMBERS.
Number Theory: Primes and Composites. Whole Numbers, Integers, and Order of Operations. The Rational Numbers. Decimals, Scientific Notation, and Significant Digits. Rationals as Decimals: Percents. Real Numbers, Square Roots, and Decimal Representation. Radicals. Number Sequences.
6. EQUATIONS, INEQUALITIES, AND PROBLEM SOLVING.
Solutions of First-Degree Sentences. Graphs of Algebraic Sentences. Sentences Involving Absolute Values. Quadratic Equations. Modeling and Problem Solving. Ratio, Proportion, and Variation.
7. FUNCTIONS AND GRAPHS.
Graphing Relations and Functions. Linear Functions, Relations, and Applications. Slopes and Equations of a Line. Quadratic Functions and Their Graphs. Exponential and Logarithmic Functions. Two Linear Equations in Two Variables. Linear Inequalities. Linear Programming.
8. GEOMETRY.
Points, Lines, Planes, and Angles. Triangles and Other Polygons. Perimeter and Circumference. Area Measure and the Pythagorean Theorem. Volume and Surface Area. Networks, Non-Euclidean Geometry, and Topology. Right Triangle Trigonometry. Chaos and Fractals.
9. MATHEMATICAL SYSTEMS AND MATRICES.
Matrix Operations. Solving Systems of Linear Equations with Matrices. Clock and Modular Arithmetic. Abstract Mathematical Systems: Groups and Fields. Game Theory.
10. COUNTING TECHNIQUES.
The Sequential Counting Principle (SCP): A Problem-Solving Tool. Permutations. Combinations. Miscellaneous Counting Methods.
11. PROBABILITY.
Sample Spaces and Probability. Counting Techniques and Probability. Computation of Probability. Conditional Probability. Independent Events. Odds and Mathematical Expectation.
12. STATISTICS.
Sampling and Frequency Distribution. Measures of Central Tendency: The Mean, Median, and Mode. Measures of Depression: The Range and Standard Deviation. The Normal Distribution: A Problem Solving Tool. Statistical Graphs: A Problem-Solving Tool. Making Predictions: Linear Regression. Scattergrams and Correlation.
13. YOUR MONEY AND YOUR MATH.
Interest, Taxes, and Discounts. Credit Cards and Consumer Credit. Annual Percentage Rate (APR) and the Rules of 78. Buying a House. Investing in Stocks, Bonds, and Mutual Funds.
14. VOTING AND APPORTIONMENT. (Online Only)
Voting Systems. Voting Objections. Apportionment Methods. Apportionment Objections.
15. GRAPH THEORY. (Online Only)
Introduction to Graph Theory. Euler Paths and Euler Circuits. Hamilton Paths and Hamilton Circuits. Trees.
APPENDIX: THE METRIC SYSTEM. (Online Only)
A.1 Metric Units of Measurement. A.2 Convert If You Must.
WebAssign
Each WebAssign online product offers the full textbook combined with a flexible and fully customizable online instructional assignments and tools.

Cengage provides a seamless user experience for Learning Management Systems (LMS) integration. Please contact your Cengage Learning Consultant for ordering information and visit our Learning Management System Integration web page on WebAssign for general information.

Standalone Digital Access — Ultimate Value

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  • ISBN-10: 1285858034
  • ISBN-13: 9781285858036
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Cengage provides a range of supplements that are updated in coordination with the main title selection. For more information about these supplements, contact your Learning Consultant.

FOR INSTRUCTORS

Cartridge - Topics in Contemporary Mathematics, 9th

ISBN: 9780618868568

Multimedia Assets

ISBN: 9780618921263

Online Study Guide

ISBN: 9780618775996

Online Instructor's Solutions Manual

ISBN: 9780618776023

FOR STUDENTS

Cartridge - Topics in Contemporary Mathematics, 9th

ISBN: 9780618868568

Multimedia Assets

ISBN: 9780618921263

Online Study Guide

ISBN: 9780618775996