Mathematical Modeling Using Microsoft Excel

Abstract

The entry into higher mathematics begins with calculus. Rarely, however, does the calculus student recognize the full power and applications for the mathematical concepts and tools that are taught. Frank R. Giordano, Maurice D. Weir, and William P. Fox produced A First Course in Mathematical Modeling a unique text designed to address this shortcoming and teach the student how to identify, formulate, and interpret the real world in mathematical terms. Mathematical modeling is the application of mathematics to explain or predict real world behavior. Often real world data are collected and used to veriiy or validate (and sometimes formulate) a hypothetical model or scenario. Inevitably, in such situations, it is desirable and necessary to have computational support available to analyze the large amounts of data. Certainly this eliminates the tedious and inefficient hand calculations necessary to validate and apply the model (assuming the calculations can even be reasonably done by hand). The primary purpose of Mathematical Modeling Using Microsoft Excel is to provide instructions and examples for using the spreadsheet program Microsoft Excel to support a wide range of mathematical modeling applications. Microsoft Excel is a powerful spreadsheet program which allows the user to organize numerical data into an easy to follow on-screen grid of columns and rows. Our version of Excel is based on Microsoft Windows. In this text, it is not the intent to teach mathematical modeling, but rather to provide computer support for most of the modeling topics covered in A First Course in Mathematical Modeling. The examples given here are support that text as well.

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Document Details

Document Type
Technical Report
Publication Date
Jun 01, 1997
Accession Number
ADA333360

Entities

People

  • Nelson L. Emmons Jr

Organizations

  • Naval Postgraduate School

Tags

Communities of Interest

  • C4I
  • Weapons Technologies

DTIC Thesaurus Topics

  • Computational Science
  • Computer Programming
  • Computers
  • Convex Sets
  • Curve Fitting
  • Data Analysis
  • Equations
  • Fungi
  • Linear Programming
  • Mathematical Models
  • Mathematics
  • Operating Systems
  • Probabilistic Models
  • Probability
  • Regression Analysis
  • Simplex Method
  • Spreadsheet Software

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  • Artificial Intelligence
  • Computational Modeling and Simulation
  • Database Systems and Applications