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
Spring 2012
Project's peport due on Thursday April 26 and presentations on Thur May 3 Handout for the Course Project ; evaluation for the Project's report ; and evaluation for the Project's presentation . Final Exam : Tue May 8 from 8:30am till 10:30am. It covers materials since Exam 2    
Assignments
Assignment on Queueing Models not due but you must know this for final exams Assignment 9 due April 17 Assignment 8 due Tue, April 3 Assignment 7 due Thu, Mar 22 Assignment 6 due Fri, Mar 9 by noon in my office
Assignment 5 due Thu, Mar 1 Assignment 4 due Thu, Feb 16 Assignment 3 due Thu, Feb 9 Assignment 2 due Thu, Feb 2 Assignment 1 due Thu, Jan 26
         
Handouts & Course Project Handout
Handout 14 (pdf) (For class on April 24, 26, & May 1, 2012.) Handout 13 (pdf) (For class on April 10 & 17, 2012.) Handout 12 (pdf) (For class on April 10, 2012.) Handout 11 (pdf) (For class on April 3-5, 2012.) Handout 10 (pdf) (For class on Mar 22 & 27, 2012.)
Handout 9 (pdf) (For class on Mar 22, 2012.) Handout 8 (pdf) (For class on Mar 6-8, 2012.) Handout 7 (pdf) (For class on Feb 28 - Mar 6, 2012.) Handout 6 (pdf) (For class on Feb 16 - 21, 2012.)  
Handout 1 (pdf) (For class on Jan 17, 2012.) Handout 2 (pdf) (For class on Jan 24, 2012.) Handout 3 (pdf) (For class on Jan 26, 2012.) Handout 4 (pdf) (For class on Feb 2, 2012.) Handout 5 (pdf) (For class on Feb 7-14, 2012.)
Other Stuff
Example of the Cobweb Analysis that we did in class on Jan 26 - Feb 7, 2012. You might find this Grid useful when doing cobweb analysis on Assignment 3. Contour Plot of the Lotka-Volterra Model (For class on Feb 9 - 14, 2012.) Lotka-Volterra Model's Trajectory (page 1) ; Lotka-Volterra Model's Trajectory (page 2) ; (For class on Feb 9 - 14, 2012.)  

A few examples for Mathematica

(Feb 2-9, 2012.)
Numerical solutions to DDS Model ( Helpful for Assg 3)
(Feb 2-9, 2012.)
Numerical solutions to a system of DDS ( Helpful for Assg 3 & 4)
(Feb 9-16, 2012.)
Matrix Operations for eigenvalue methods for a system of DDS ( Helpful for Assg 4)
(Feb 16-23, 2012.)
Numerical solutions to the Lotka-Volterra Model ( For assignment 4)
(Feb 16-23, 2012.)
Contour Plots for level curves for F(P,H) = constant ( For assignment 4)
A quick Reference for Mathematica ; you may find this handy when you work on mathematica assignments. Example of Graphing given Functions ( This is an example of using Mathematica for plotting graphs.) You might find this useful for graphing multiple functions More on Graphing Multiple Functions Example of Plotting and Multiplots using mathematica Examples of solving equations using mathematica
US Census Data for Population of the USA since 1800        

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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Peh H. Ng ,
Professor of Mathematics & Math Discipline's Web Janitor
Mathematics Discipline
Division of Science and Mathematics
University of Minnesota - Morris
Morris, MN 56267
(320)-589-6318
email: pehng@morris.umn.edu

© 2001 by Peh Ng
Last Modified Thursday, April 19, 2012
Page URL: http://www.morris.umn.edu/~pehng/Ma4452/index.html

( The Klein bottle; a graph.)