Topics in Contemporary Mathematics
ISBN: 9780618775248 | 0618775242
Edition: 9thFormat: Hardcover
Publisher: Cengage Learning
Pub. Date: 1/2/2007
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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.
| Problem Solving | |
| Inductive Reasoning | |
| Estimation: A Problem Solving Tool | |
| Graph Interpretation: A Problem-Solving Tool | |
| Sets | |
| Sets: A Problem-Solving Tool | |
| Set Operations | |
| Venn Diagrams | |
| The Number of Elements in a Set: A Problem-Solving Tool | |
| Infinite Sets | |
| 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 Online Only | |
| Switching Networks: A Problem-Solving Tool | |
| 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 | |
| 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 | |
| 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 | |
| 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 Online Only | |
| Linear Programming | |
| Geometry | |
| Points, Lines, Planes, and Angles | |
| Triangles and Other Polygons | |
| Perimeter and Circumfrence | |
| Area Measure and the Pythagorean Theorem | |
| Volume and Surface Area | |
| Networks, Non-Euclidean Geometry, and Topology Online Only | |
| Right Triangle Trigonometry Online Only | |
| Chaos and Fractals | |
| 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 | |
| Counting Techniques | |
| The Sequential Counting Principle (SCP): A Problem-Solving Tool | |
| Permutations | |
| Combinations | |
| Miscellaneous Counting Methods | |
| Probability | |
| Sample Spaces and Probability | |
| Counting Techniques and Probability | |
| Computation of Probability | |
| Conditional Probability | |
| Independent Events | |
| Odds and Mathematical Expectation | |
| Statictics | |
| Sampling and Frequency Distribution | |
| Measures of Central Tendency: The Mean, Median, and Mode | |
| Measures of Depression: The Range and Standard Deviation | |
| The Normal Dsitribution: A Problem Solving Tool | |
| Statistical Graphs: A Problem-Solving Tool | |
| Making Predictions: Linear Regression | |
| Scattergrams and Correlation | |
| 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 Online Only | |
| Voting and Apportionment | |
| Voting Systems | |
| Voting Objections | |
| Apportionment Methods | |
| Apportionment Objections Online Only | |
| Graph Theory | |
| Introduction to Graph Theory | |
| Euler Paths and Euler Circuits | |
| Hamilton Paths and Hamilton Circuits | |
| Trees Online Only: Appendix | |
| The Metric System | |
| Metric Units of Measurement | |
| Convert If You Must | |
| Table of Contents provided by Publisher. All Rights Reserved. |
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