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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.
- 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.
1. PROBLEM SOLVING.
Inductive Reasoning. Estimation: A Problem Solving Tool. Graph Interpretation: A Problem-Solving Tool.
Sets: A Problem-Solving Tool. Set Operations. Venn Diagrams. The Number of Elements in a Set: A Problem-Solving Tool. Infinite Sets.
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.
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.
Sample Spaces and Probability. Counting Techniques and Probability. Computation of Probability. Conditional Probability. Independent Events. Odds and Mathematical Expectation.
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.
Instructor's Solutions Manual
Topics in Contemporary Mathematics, 10th: PowerLecture CD-ROM with ExamView Test Generator
Student Solutions Manual
Student Solutions Manual
Prepare for exams and succeed in your mathematics course with this comprehensive solutions manual! Featuring worked out-solutions to the problems in TOPICS IN CONTEMPORARY MATHEMATICS, 10th Edition, this manual shows you how to approach and solve problems using the same step-by-step explanations found in your textbook examples.