MATH 440 - Mathematical Modeling
Spring 1996
MW 7:00 - 8:15 PM
Room 205, Gosnold Hall

Objectives

  • demonstrate the applicability of mathematics in the formulation, analysis and interpretation of models in the study of concrete problems
  • introduce students to problems which require effort for precise formulation
  • introduce students to problems whose treatment could require topics drawn from any mathematics course in the student's background
  • demonstrate the use of appropriate technologies in the solution of mathematical models
  • give students practice in the oral and written communication of mathematical ideas

    • Course pages

  • course syllabus
  • database of mathematical models

    • Additional Resources

    Links
      Cleveland State University
        This page contains a large collection of references on mathematical modeling - check it out!
      A Yahoo page
        This page contains links to several pages dealing with mathematical modeling, including the page listed above.


    Textbooks
      Clark, Mathematical Bioeconomics, Wiley-Interscience, 1976

      Giordano and Weir, A First Course in Mathematical Modeling, Brooks/Cole, 1985

      Strogatz, Nonlinear Dynamics and Chaos, Addison-Wesley, 1994


    Journals
      Journal of Dynamics and Differential Equations
      Journal of Differential Equations
      Journal of Difference Equations and Applications
      International Journal of Mathematics Education
      Nonlinear Dynamics
      The UMAP Journal
      SIAM Review
      SIAM Journal on Applied Mathematics


    Software
      MAPLE
        MAPLE contains many commands for the solution (analytical and numerical) and the analysis of ordinary differential equations. The best place to start learning about MAPLE's ODE facilities is with the Help menu.

      Interactive Differential Equations
        This is a CD-ROM based package which facilitates the visualization, discovery and exploration processes for ordinary differntial equations. Unlike a computer algebra system, like MAPLE, which allows the user to enter any differential equation, this package has a large collection of predefined equations which can be studied. If you are interested in exploring this piece of software, you can order your own copy from Addison-Wesley Interactive or you can borrow Dr. Bradie's copy.

      MacMath
        As the name implies, this is a collection of programs which run on the Macintosh. This toolkit supports mathematical computation and graphical exploration for dynamical systems defined by differential equations and difference equations. This is an excellent package for exploration the effect of changes in parameters on system performance. This package is available from the library.

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