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.
Course Information, Handouts & Assignments | ||||
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Math 4452's Syllabus Spring 2012 |
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| Assignments | ||||
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 | ||||
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Handout 5 (pdf) (For class on Feb 7-14, 2012.) |
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| 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.) | |
| 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.) |
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A few examples for Mathematica | ||||
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(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). | ||
since December 21, 2004