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Finite Mathematics and Calculus With Applications

by ; ;
Edition:
8th
ISBN13:

9780321426512

ISBN10:
0321426517
Format:
Hardcover
Pub. Date:
12/14/2007
Publisher(s):
Pearson
Includes 2-weeks free access to
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Summary

Key Message: Lial, Greenwell, and Ritchey continue their tradition of integrating relevant, realistic applications with current data sources to provide an application-oriented text for students majoring in business, management, economics, or the life or social sciences. The many opportunities for technology use allow for increased visualization and a better understanding of difficult concepts. In addition to MyMathLab reg; , a complete online course solution, a comprehensive series of video lectures is available for this text. Key Topics: Algebra Reference, Linear Functions, Systems of Linear Equations and Matrices, Linear Programming: The Graphical Method, Linear Programming: The Simplex Method, Mathematics of Finance, Logic, Sets and Probability, Counting Principles: Further Probability Topics, Statistics, Nonlinear Functions, The Derivative, Calculating the Derivative, Graphs and the Derivative, Applications of the Derivative, Integration, Further Techniques and Applications of Integration, Multivariable Calculus, Probability and Calculus Market: For all readers interested in Finite Mathematics and Applied Calculus

Author Biography

Marge Lial was always interested in math; it was her favorite subject in the first grade! Marge's intense desire to educate both her students and herself has inspired the writing of numerous best-selling textbooks. Marge, who received Bachelor's and Master's degrees from California State University at Sacramento, is now affiliated with American River College.

 

Marge is an avid reader and traveler. Her travel experiences often find their way into her books as applications, exercise sets, and feature sets. She is particularly interested in archeology. Trips to various digs and ruin sites have produced some fascinating problems for her textbooks involving such topics as the building of Mayan pyramids and the acoustics of ancient ball courts in the Yucatan.

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Raymond N. Greenwell earned a B.A. in Mathematics and Physics from the University of San Diego, and an M.S. in Statistics, an M.S. in Applied Mathematics, and a Ph.D. in Applied Mathematics from Michigan State University, where he earned the graduate student teaching award in 1979. After teaching at Albion College in Michigan for four years, he moved to Hofstra University in1983, where he currently is Professor of Mathematics.

 

Raymond has published articles on fluid mechanics, mathematical biology, genetic algorithms, combinatorics, statistics, and undergraduate mathematics education. He is a member of MAA, AMS, SIAM, NCTM, and AMATYC. He is currently (2002-2005) governor of the Metropolitan New York Section of the MAA, as well as webmaster and liaison coordinator, and he received a distinguished service award from the Section in 2003. He is an outdoor enthusiast and leads trips in the Sierra Club’s Inner City Outings program.

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Nathan P. Ritchey earned a B.A. in Mathematics with a minor in Music from Mansfield University of Pennsylvania. He earned a M.S. in Applied Mathematics and a Ph.D. in Mathematics from Carnegie Mellon University. He is currently a Professor of Mathematics and Chair of the Department of Mathematics and Statistics at Youngstown State University. He has published articles in economics, honors education, medicine, mathematics, operations research, and student recruitment. Nate is a Consultant/Evaluator for the North Central Association's Higher Learning Commission and regularly participates in program evaluations.

In recognition of his numerous activities, Nate has received the Distinguished Professor Award for University Service, the Youngstown Vindicator's "People Who Make a Difference Award," the Watson Merit Award for Department Chairs, the Spirit in Education Award from the SunTex corporation, and the Provost's Merit Award for significant contributions to the Honors Program.

A father of four children, Nate enthusiastically coaches soccer and softball. He also loves music, playing several instruments, and is a tenor in the Shenango Valley Chorale. More information about Nate Ritchey can be found at: http://www.as.ysu.edu/~nate/

Table of Contents

Chapter R
Reference (shared with FM, CWA, and Brief)
Polynomials
Factoring
Rational Expressions
Equations
Inequalities
Exponents
Radicals
Linear
Functions (shared with FM, CWA, and Brief)
Slopes and Equations of Lines
Linear Functions and Applications
The Least Squares Line
Chapter Review
Extended Application: Using Extrapolation to Predict Life Expectancy
Systems
Of Linear Equations and Matrices (FM)
Solution of Linear Systems by the Echelon Method
Solution of Linear Systems by the Gauss-Jordan Method
Addition and Subtraction of Matrices
Multiplication of Matrices
Matrix Inverses
Input-Output Models
Chapter Review
Extended Application: Contagion
Linear
Programming: The Graphical Method (FM)
Graphing Linear Inequalities
Solving Linear Programming Problems Graphically
Applications of Linear Programming
Chapter Review
Linear
Programming: The Simplex Method (FM)
Slack Variables and the Pivot
Maximization Problems
Minimization Problems; Duality
Nonstandard Problems
Chapter Review
Extended Application: Using Integer Programming in the Stock-Cutting Problem
Mathematics of Finance (FM)
Simple and Compound Interest
Future Value of an Annuity
Present Value of an Annuity; Amortization
Chapter Review
Extended Application: Time, Money, and Polynomials
Logic (FM)
Statements
Truth Tables and Equivalent Statements
The Conditional and Circuits
More on the Conditional
Analyzing Arguments and Proofs
Analyzing Arguments with Quantifiers
Chapter Review
Extended Application: Logic Puzzles
Sets and Probability (FM)
Sets
Applications of Venn Diagrams
Introduction to Probability
Basic Concepts of Probability
Conditional Probability; Independent Events
Bayes` Theorem
Chapter Review
Extended Application: Medial Diagnosis
Counting
Principles: Further Probability Topics (FM)
Table of Contents provided by Publisher. All Rights Reserved.


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