[Book Cover]

College Mathematics with Technology for Business, Economics, Life and Social Sciences, 1/e

Raymond A. Barnett, (Emeritus) Merritt College
Michael R. Ziegler, Marquette University

Published January, 1997 by Prentice Hall Engineering/Science/Mathematics

Copyright 1997, 1160 pp.
Cloth
ISBN 0-13-570391-3


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Summary

Taking great care to be mathematically correct and highly accessible to students, this text prepares students to deal with finite mathematics - a collection of important topics from mathematics of finance, linear algebra, linear programming, probability, and statistics - and calculus - a traditional subject now used extensively in a wide variety of disciplines. Stressing computational skills, ideas, and problem solving (rather than mathematical theory), it highlights the interplay between geometric, algebraic, and numerical ideas - encouraging students to verbalize these concepts - and shows how to effectively use such modern technology as graphic calculators and computers.
Deals with the problem solving strategies required when using 'graphing utilities' such as graphing calculators or computer software packages.
Presents graphing concepts using sketching and verbal descriptions, as well as technology to analyze graphs based on an equation.
Offers broad topic selection, in-depth coverage, and a flexible format, providing the essential mathematical tools needed to effectively pursue courses of study in business, economics, life and social sciences.
Illustrates concepts with a large number of varied 'real-world' applied exercises and examples.

  • Contains over 5,000 diverse, carefully selected and graded exercises sets and problems.
  • Integrates over 380 numbered and worked-out examples, each followed by a parallel or 'matched' problems with an answer provided so students can immediately check their understanding of a concept.
Promotes exploration and discussion throughout to increase student involvement in the learning process, stimulate discussion, and give students a richer mathematical experience.
  • 'Explore-Discuss' boxes in every section encourage students to think about a relationship or process before a result is stated, or for further investigation.
  • 'Explore-Discuss' exercises prompt exploration and verbalization of mathematical concepts, results, and processes.
Includes a library of elementary functions to help students view mathematical ideas and processes graphically, numerically, and algebraically.
Demonstrates algebraic, graphical, and numerical solutions of finance equations.
Offers a thorough treatment of linear programming, including simplex, dual, big M, and two-phase methods utilizing slack, surplus, and artificial variables.
Covers the basic concepts and technology of Markov chains.
Introduces the derivative as a rate of change, leading to the natural development of limits, using graphs, tables, and algebra simplification.
Develops integrals numerically and geometrically in terms of both area and rates of change.
Uses slope fields to explore the geometric, numeric, and algebraic features of solutions of differential equations. =

= I. A LIBRARY OF ELEMENTARY FUNCTIONS. gif/chlist.gif 1. A Beginning Library of Elementary Functions. gif/chlist.gif 2. Additional Elementary Functions.

= II. FINITE MATHEMATICS. gif/chlist.gif 3. Mathematics of Finance. gif/chlist.gif 4. Systems of Linear Equations; Matrices. gif/chlist.gif 5. Linear Inequalities and Linear Programming. gif/chlist.gif 6. Probability. gif/chlist.gif 7. Markov Chains. gif/chlist.gif 8. The Derivative.

= III. CALCULUS. gif/chlist.gif 9. Graphing and Optimization. gif/chlist.gif 10. Additional Derivative Topics. gif/chlist.gif 11. Integration. gif/chlist.gif 12. Additional Integration Topics. gif/chlist.gif 13. Multivariable Calculus. gif/chlist.gif 14. Differential Equations. gif/chlist.gif Appendix A: Tables. I. Basic Geometric Formulas. II. Integration Formulas. =  …• 1997,  = 1160 pp.,  = cloth  =  (0-13-570391-3)  =  (57039-0)  = MM0504 = Course Guide Page 384 =  SUPPLEMENTS:  = MAC PH Custom Test (0-13-592858-3); (59285-7) = WIN PH Custom Test (0-13-592841-9); (59284-0) = Instructor's Resource Manual (0-13-592833-8); (59283-2) gif/subullet.gif = Contains answers to all even numbered exercises, as well as transparency masters and printed test bank. = Student Solutions Manual (0-13-592874-5); (59287-3) gif/subullet.gif = Contains solutions to all odd numbered exercises, and all solutions to chapter reviews.

Features


Deals with the problem solving strategies required when using 'graphing utilities' such as graphing calculators or computer software packages.
Presents graphing concepts using sketching and verbal descriptions, as well as technology to analyze graphs based on an equation.
Offers broad topic selection, in-depth coverage, and a flexible format, providing the essential mathematical tools needed to effectively pursue courses of study in business, economics, life and social sciences.
Illustrates concepts with a large number of varied 'real-world' applied exercises and examples.

  • Contains over 5,000 diverse, carefully selected and graded exercises sets and problems.
  • Integrates over 380 numbered and worked-out examples, each followed by a parallel or 'matched' problems with an answer provided so students can immediately check their understanding of a concept.
Promotes exploration and discussion throughout to increase student involvement in the learning process, stimulate discussion, and give students a richer mathematical experience.
  • 'Explore-Discuss' boxes in every section encourage students to think about a relationship or process before a result is stated, or for further investigation.
  • 'Explore-Discuss' exercises prompt exploration and verbalization of mathematical concepts, results, and processes.
Includes a library of elementary functions to help students view mathematical ideas and processes graphically, numerically, and algebraically.
Demonstrates algebraic, graphical, and numerical solutions of finance equations.
Offers a thorough treatment of linear programming, including simplex, dual, big M, and two-phase methods utilizing slack, surplus, and artificial variables.
Covers the basic concepts and technology of Markov chains.
Introduces the derivative as a rate of change, leading to the natural development of limits, using graphs, tables, and algebra simplification.
Develops integrals numerically and geometrically in terms of both area and rates of change.
Uses slope fields to explore the geometric, numeric, and algebraic features of solutions of differential equations.


Table of Contents
I. A LIBRARY OF ELEMENTARY FUNCTIONS.
    1. A Beginning Library of Elementary Functions.
    2. Additional Elementary Functions.

II. FINITE MATHEMATICS.
    3. Mathematics of Finance.
    4. Systems of Linear Equations; Matrices.
    5. Linear Inequalities and Linear Programming.
    6. Probability.
    7. Markov Chains.
    8. The Derivative.
III. CALCULUS.
    9. Graphing and Optimization.
    10. Additional Derivative Topics.
    11. Integration.
    12. Additional Integration Topics.
    13. Multivariable Calculus.
    14. Differential Equations.
    Appendix A: Tables. I. Basic Geometric Formulas. II. Integration Formulas.


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