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Project 2

• The Project Goal

This is a group project. You are expected to work in groups of two. The goal is to numerically solve a system of differential equations modeling one of the applications below.  

• Dates

You will report your group composition and proposed problem on April 6th. A detailed progress report on your work to date is due April 13th. The final full report will be due April 25th. See below for formatting.

• Problems

Select a problem from the following:

•  One from Moler's Chapter 7:

  • Lotka Volterra predator-prey model 7.15 or 7.16

  • Paratrooper - 7.17

  • Projectiles - 7.18 or 7.19

  • Nonlinear Pendulum - 7.20

• Neuron Problem.

• The SIR Model for Spread of Disease

• Modeling Covid 19

• Modeling the outbreak of zombie infection  [Extras: slides, paper, book]

• Report Format

   

  All work should be typed with double-spacing and 12 pt font. You will be expected to use correct English grammar and punctuation. This is a report and thus you will use proper sentence and paragraph formatting. You will be graded on the evidence of work, mathematical detail and understanding, proper exposition and neatness. Your work should also be supported with properly labeled and embedded plots and equations. Any references used should be cited as well. These reports will count towards the project component of your grade.
   

• Structure

A suggested outline of the final report would be: Title page (including Title, Names, Abstract), Introduction to Problem (Statement and Background). Formulation of Model and Method of Solution (Discussion of Simulink Model), Solution Results (Analytical, Numerical, Plots of Solutions), Discussion/Results (Summary and Discussion of Solution), Bibliography.