Math 341: Differential Equations (Fall 2008)
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Course Project

A printable version of the Course Project handout is available. You can also see the PowerPoint slides from previous students' projects.

Here are the groups for the 2010 edition of Differential Equations

Group

 Members

Option
9 Nik Addleman and Jenn Fox 1
5 Michael Lopez and P.J. Maresca 1
4 Francisco Hernandez, Jorge Muñoz and Kliah Soto 1
7 Mariam Balbanyan and Vane Petrosyan 1
1 Caitlin Brown and Lianne Pinsky 1
6 Oliver Morfin and Connor Smith 1
8 Anthony Salsedo and Anthony Schaeffer 1
2 Noam Goldberg, Craig Kaplan and Tucker Riley 1
3 Jeremy Cooper, Ian Husted and Austin Nelson 2

 

Time Slot

 Group Members Title
MON DEC 6 #1 Caitlin Brown and Lianne Pinsky A Stead State Analysis of a Rosenzweig-MacArthur Predator-Prey System
MON DEC 6 #2 Noam Goldberg, Craig Kaplan and Tucker Riley The Parachute Problem
MON DEC 6 #3 Jeremy Cooper, Ian Husted and Austin Nelson An Experimental Model of Memory
MON DEC 6 #4 Michael Lopez and P.J. Maresca Equilibrium Analysis of the Edwards-Buckmire Model for Movie Sales
FRI DEC 3 #1  Oliver Morfin and Connor Smith The Hopf Birfurcation and the Brusselator
FRI DEC 3 #2 Mariam Balbanyan and Vane Petrosyan Traffic Model Using 2nd Order ODEs
FRI DEC 3 #3 Nik Addleman and Jenn Fox Extensions and Modern Applications of the SIR Epidemic Model
ECO SLOT 12/1 Francisco Hernandez, Jorge Muñoz and Kliah Soto Analysis of a 3-D Lotka-Volterra System
ECO SLOT 12/1 Anthony Salsedo and Anthony Schaeffer Picard's Method of Successive Iteration

 

Here is checklist for how to evaluate your Course Project. Also, here is the grading rubric I will use

Does this paper:

¨      have an Introduction, Conclusion and Thesis Statement (which I would prefer that you write in bold)?

¨      provide a paragraph (100-200 word abstract) at the top which summarizes the salient details of the project?

¨      include ALL and appropriate references and citations (in a consistent style) to sources used to complete the project?

¨      give a precise and well-organized explanation of both the problem and its answer?

¨      clearly label diagrams, tables, graphs, or other visual representations of the math?

¨      define all variables, terminology, and notation used?

¨      use correct spelling, grammar, and punctuation?

¨      contain correct mathematics?

¨      is spell-checked, free of grammar-errors and of a reasonable duration?

¨     contain a cover page with the signatures of all the members of the group?

Differential Equations Course Project

In this course, you are being asked to complete a course project. This handout details the
information you need to complete the project successfully. The goals of this project are to have
you extend your knowledge of differential equations according to your own personal interest and to
practice your new ODE skills and enhance both your technical writing and communication skills.
The project is worth 20% of your final course grade. Please treat it accordingly.

Project Description: You have two basic options in your project. Option 1: You can find
a research paper where the mathematics is ODE based and you can present that work. If
you choose this option, you should plan to really understand the mathematical work of the
paper and how it connects to what we have done in class. Option 2: “Do” your own ODE
project-develop a model or work on a theory, etc. If you are considering this option, you can
consult your text for ideas. It has lab sections at the end of each chapter. Although it is
not anticipated that any single lab problem would satisfy the project requirement, you could
choose a sequence of exercises and put them together, or just use them as ideas to jump start
your own problem. The project may be done as an individual effort or in pairs or, in one
case, as a trio but in all cases groups get a single grade assigned to them, with members and
myself having input into how the credit should be allotted.

Project Timeline: Your project will have several deadlines associated with it. Although
the majority of your project grade will be based on the final paper and presentation, failure
to fully complete a step by the deadline will result in a 5 point deduction off your final grade.
The project is worth a total of 200 points

1. Project Proposal: Friday, October 29th. [25 points] On this day you will turn in
a project proposal that is no less than one page typed and double spaced. It should explain
whether you are choosing option 1 or option 2, your project topic and how the topic is connected
to differential equations. It should include any references you already have that you plan to
be using. If you are choosing option 1, please attach one copy of your primary paper (you can
consult many papers, but only attach the “main” one) as well as an idea of references you may
still need to find. It should also include a detailed plan to complete your project and what you
want your punch line to be that is, you should have an understanding of why your project is cool
and important. If you are proposing a group project, you should also detail how each member
plans to contribute. You only need to include one copy of the proposal, signed by all members.

2. Rough Draft: Friday November 19th: [25 points] One component of your final project will
include a formal write up of your work. You should turn in a rough draft of your project paper
by Friday, November 14th at 5 p.m. It is fine to turn in your rough draft early. Drafts should
be submitted by hard copy and not electronically. The length of the paper will vary between
projects, but it is anticipated that no project will be adequately described in less than 5 pages.
You should also include an outline of the paper with your rough draft. This is a technical paper
and should include an abstract, an introduction, a paper body, a conclusion, and appendices.
Figures and relevant data should be included and properly labeled. You should also make sure
to cite any references you have used.

3. Final Paper: Monday,  November 29th: [50 points] All groups will turn in their final paper
on Monday December 6th by 5 p.m. EXTRA CREDIT OPPORTUNITY:  Oral Presentations Early (11/29 or 12/1).

4. Oral Presentations: Friday December 3rd and Monday, December 6th [100 points]
Oral presentations will be done in class. Each project group should plan on speaking
for 12 minutes if the group consists of two people or 8 minutes if solo and 15 minutes if the
group is a trio. This is not a long time to explain the amount of work you have been doing,
so your presentations will have to be well prepared and practiced. Your presentation should be
done with the use of a computer projector in a medium such as power point. A properly timed
presentation will be within a minute of the allotted time. Speaking for a shorter length of time
or a longer length of time will affect your project grade by at least 5 points. EXTRA CREDIT OPPORTUNITY: Oral Presentation on Monday November 29th or Wednesday December 1st.