Topics In Contemporary Mathematics

by Bello, Ignacio; Britton, Jack R.

• ISBN13: 9780618347520
• ISBN10: 0618347526
• Edition: 8th
• Format: Hardcover
• Copyright: 2004-02-17
• Publisher: Brooks Cole

Summary

Topics in Contemporary Mathematics,8/e, is uniquely designed to help students see math at work in the contemporary world by presenting problem solving in purposeful and meaningful contexts. Strong technology focus encourages students to learn and apply their knowledge using the most up-to-date web links maintained by the author on a companion web site. Instructors may also use this site to access PowerPoint slides for convenient class presentations. In addition to these web resources, lecture and practice test videos have been developed to provide extra support and foster confidence outside of the classroom. For those students in Florida, a CLAST Test guide and video are available as well. A variety of pedagogical features reinforce ideas and motivate students to learn.Getting Startedoffers a motivating introduction for the techniques and ideas in each section. Through web references andWeb Itexercises, students utilize the Internet as an educational and creative tool to study mathematical concepts.Collaborative Learningencourages student interaction as they work together to solve problems. TheGraph Itfeature found in the book margins provides step-by-step directions for solving specific examples using the TI-83 graphing calculator. Problem-solving approach throughout the text helps students learn techniques and methods that will benefit them throughout their lives and careers. These special examples use George Polya's problem-solving strategy (RSTUV--Read, Select, Think of a plan, Use the techniques, Verify) and a unique two-column format for describing the general problem-solving method and demonstrating specific uses. Eduspace, powered by Blackboard, for the Bello/BrittonTopics in Contemporary Mathcourse features algorithmic exercises, test bank content in question pools and video explanations.

Table of Contents

Note: Each chapter concludes with a Summary, Research Questions, a Practice Test, and Answers to Practice Test

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 of Arguments

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, 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

Linear Programming

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

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 Probabilities

Conditional Probability

Independent Events

Odds and Mathematical Expectation

Statistics

Sampling and Frequency Distributions

Measures of Central Tendency: The Mean, Median, and Mode

Measures of Dispersion: 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

Your Money and Your Math

Interest, Taxes, and Discounts

Credit Cards and Consumer Credit

Annual Percentage Rate (APR) and the Rule of 78

Buying a House

Voting and Apportionment

Voting Systems

Voting Objections

Apportionment Methods

Apportionment Objections

Graph Theory

Introduction to Graph Theory

Euler Paths and Euler Circuits

Hamilton Paths and Hamilton Circuits

Trees Appendix: The Metric System

Answers to Odd-Numbered Problems

Research Bibliography

Acknowledgments

Photo Credits

Index

Table of Contents provided by Publisher. All Rights Reserved.