Math 4452's Homepage

Math 4452's Homepage

Welcome to the Home Page of
Mathematical Modeling: Classical, Contemporary and for the 21st Century.


Can you identify these mathematical structures? Answers at the bottom.

Table of Contents

Course Information, Handouts & Assignments

Math 4452's Syllabus
Fall 2008
Handout 14 (pdf) (For class on Nov 20 till Dec 4, 2008.) Here are a few problems for Queueing Models; they are not due, but you have to know how to do them. We will do a few in class. Project's peport due on Fri Dec 5 and presentations on Thur Dec 11 Handout for the Course Project ; evaluation for the Project's report ; and evaluation for the Project's presentation . Final Exam: Tue Dec 16 1:30-3:30pm ; it covers topics from Probabilistic and Queueing Models.
Assignments
Assignment 5 due Thu, Oct 9 Assignment 6 due by 10am Fri, Oct 17 in my office Assignment 7 due by 10am Fri, Oct 24 in my office Assignment 8 due Thur, Nov 6 or at my office by 10am on Fri Nov 7 Assignment 9 due Tue Nov 18
Assignment 1 due Tue, Sept 9 Assignment 2 due Tue, Sept 16 Assignment 3 due Tue, Sept 23 Assignment 4 due Tue, Sept 30  
Handouts
Handout 10 (pdf) (For class on Nov 4 2008.) Handout 11 (pdf) (For class on Nov 4, 6, & 11, 2008.) Handout 12 (pdf) (For class on Nov 11 & 18, 2008.) Handout 13 (pdf) (For class on Nov 18, 2008.)  
Handout 6 (pdf) (For class on Sept 25, 30 & Oct 2, 2008.) Handout 7 (pdf) (For class on Oct 9 & 14, 2008.) Handout for examples of using TORA (pdf) (For lab on Oct 16, 2008.) Handout 8 (pdf) (For class on Oct 16 & 28, 2008.) Handout 9 (pdf) (For class on Oct 28 - 30, 2008.)
Handout 1 (pdf) (For class on Aug 28, 2008.) Handout 2 (pdf) (For class on Sept 2, 2008.) Handout 3 (pdf) (For class on Sept 4, 2008.) Handout 4 (pdf) (For class on Sept 16 & 23, 2008.) Handout 5 (pdf) (For class on Sept 18, 23, & 25, 2008.)
Other Stuff
Handout for the Course Project ; evaluation for the Project's report ; and evaluation for the Project's presentation . ( Oct 9: decide on a topic Example of the Cobweb Analysis that we did in class on Sept 10, 2008. You might find this Grid useful when doing cobweb analysis on Assignment 3. Contour Plot of the Lotka-Volterra Model (For class on Sept 23, 2008.) Lotka-Volterra Model's Trajectory (page 1) ; Lotka-Volterra Model's Trajectory (page 2) ; (For class on Sept 25, 2008.)

A few examples for Mathematica

(Sept 11, 2008.)
Numerical solutions to DDS Model ( Helpful for Assg 3)
(Sept 16, 2008.)
Numerical solutions to a system of DDS ( Helpful for Assg 3 & 4)
(Sept 16, 2008.)
Matrix Operations for eigenvalue methods for a system of DDS ( Helpful for Assg 4)
(Sept 23 & 25, 2008.)
Numerical solutions to the Lotka-Volterra Model ( For assignment 4)
(Sept 18, 2008.)
Contour Plots for level curves for F(P,H) = constant ( For assignment 4)
If you need a quick refresher on how to plot y=f(x) using mathematica, go to plotting y=f(x) ( For assignment 1) (Sept 2, 2008.)
Plots for Logistics Model
     
         

Resources on Mathematical Modeling

Institute for Mathematical Modeling JAVA Exploration Tool for Dynamical Systems GIDEN (Graphical Implementation Development Environment for Networks) (software for solving optimization problems on graphs).



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© 2001 by Peh Ng
Last Modified Tuesday, December 02, 2008
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( The Klein bottle; a graph.)