Finite Mathematics

by Berresford, Geoffrey C.; Rockett, Andrew M.

• ISBN13: 9780618372218
• ISBN10: 0618372210
• Edition: 2nd
• Format: Hardcover
• Copyright: 2004-02-06
• Publisher: Cengage Learning

Summary

The Second Edition of this engaging text for the one-semester finite mathematics course uses intriguing, real-world applications to capture the interest of business, economics, life science, and social science majors. This practical approach to mathematics, along with the integration of graphing calculators and Excel spreadsheet explorations, exposes students to the tools they will encounter in future careers. A wealth of pedagogy includes the following distinctive features: detailedWorked-out Examples with Annotationshelp students through more challenging concepts;Practice Problemsare offered to help students check their understanding of concepts presented in the examples;Section Summariesbriefly restate essential formulas and key concepts;Chapter Summary with Hints and Suggestionsunify chapter themes, give specific reminders, and reference problems in the review exercises suitable for a practice test; andCumulative Review Exercisesappear at the end of groups of chapters to reinforce previously learned concepts and skills. Graphing Calculator ExamplesandExerciseslocated throughout the text explore new topics, guide students through "messy" calculations, or show technology pitfalls. These may be omitted without disrupting the flow or cohesion of the text. Application Previewsplace mathematics in a real-world context and motivate students' interest in the material. Annotationsbeside many formulas and solution steps emphasize the importance of being able to "read mathematics" by restating much of the mathematics in words.

Table of Contents

Note: Each chapter concludes with a Summary with Hints and Suggestions

Review Exercises, and Projects and Essays

Functions

Real Numbers, Inequalities, and Lines Application Preview: World-Record Mile Runs

Exponents Application Preview: Size, Shape, and Exponents

Functions Application Preview: Functional Drunkenness

Functions, continued Application Preview: Automobile Efficiency and Rational Functions

Exponential Functions Application Preview: Exponential Functions and the World's Worst Currency

Logarithmic Functions Application Preview: Carbon-14 Dating and the Shroud of Turin

Mathematics of Finance

Simple Interest Application Preview: Benjamin Franklin's Will

Compound Interest Application Preview: Musical Instruments as Investments

Annuities Application Preview: Retirement Planning

Amortization Application Preview: Loan Repayment and the Rule of 78

Matrices and Systems of Equations

Systems of Two Linear Equations in Two Variables Application Preview: A "Taxing" Problem

Matrices and Linear Equations in Two Variables Application Preview: Spreadsheets

Systems of Linear Equations and the Gauss-Jordan Method Application Preview: Ancient Chinese Mathematics

Matrix Arithmetic Application Preview: Matrices and Computers

Inverse Matrices and Systems of Linear Equations Application Preview: Sensitivity Analysis

Two Applications

Linear Programming

Linear Inequalities Application Preview: Northwest Airlines and Crew Schedules

Two-Variable Linear Programming Problems Application Preview: Managing an Investment Portfolio

The Simplex Method for Standard Maximum Problems Application Preview: George Dantzig and the Origins of the Simplex Method

Duality and Standard Minimum Problems Application Preview: Diet Problems and "The Cost of Subsistence

Nonstandard Problems: The Dual Pivot Element and the Two-Stage Method Application Preview: Kantorovich and Production Planning

Nonstandard Problems: Artificial Variables and the Big-M Method Application Preview: Kantorovich and Production Planning

Probability

Sets, Counting, and Venn Diagrams Application Preview: The Chevalier de Mere

Permutations, Combinations, and the Binomial Theorem Application Preview: Starting Lineups

Probability Spaces Application Preview: Coincidences

Conditional Probability and Indedepence Application Preview: Independence and the Law

Bayes' Theorem Application Preview: Airline Hijacking

Random Variables and Distributions Application Preview: Home Run Records

Statistics

Random Samples and Data Organization Application Preview: Roosevelt and Landon in 1936

Measures of Central Tendency Application Preview: Household Incomes

Measures of Variation Application Preview: Pain, Suffering, and Statistics

Normal Distributions and Binomial Approximation Application Preview: The Bell-Shape Curve

Markov Chains

States and Transitions Application Preview: Weather in Sri Lanka

Regular Markov Chains Application Preview: Hidden Markov Models and Genetics

Absorbing Markov Chains Application Preview: Random Walks

Logic

Statements and Connectives Application Preview: Grammar, Logic, and Rhetoric

Truth Tables Application Preview: Circuits

Implications Application Preview: "If..., then..." as a Computer Instruction

Valid Arguments Application Preview: Fuzzy Logic and Artificial Intelligence

Quantifiers and Euler Diagrams Application Preview: The Dog Walking Ordinance

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