Math 340: Differential Equations (Fall 2015) |
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Home > Assignments> Project |
Course Project |
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 prepare for it with the appropriate resources necessary to do a
satisfactory job.
Project Description: The idea behind the project in differential equations is to provide you with the opportunity to present your understanding of a topic in differential equations that you find interesting or compelling.
OPTION 1: Choose a topic from one that we will not cover in ourr class
Some potential ideas of topics to choose from that we will not discuss in class are:
The project may be done as a trio or pairs (or in very rare cases as an individual)
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 300 points
1. Project Proposal: Friday, October 2nd. 50 points] On this day you will turn in It is strongly encouraged that you contact
me (either in person or by e-mail) to discuss your |
2. Rough Draft: Friday November 13th: 50 points] One component
of your final project will |
3. Final Paper: Wednesday December 2nd:
[100
points] All groups will turn in
their final paper |
4. Oral Presentations: Monday November 23rd,
Monday November 30th and Wednesday, December 2nd [100
points] |
Here is checklist for how to evaluate your Course Project Paper. 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 (I expect at least 5) 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?
Here are the presentation slots for the 2015 edition of Math 341: Differential Equations
Time Slot |
Time Limit |
Group |
Title |
MON NOV 23 #1* (extra credit) |
15 minutes |
Niko Lachman, Kaleb Mitchell and Matt Mulvehill |
Various Applications of the Hopf Bifurcation |
MON NOV 23 |
15 minutes |
Brian Okimoto, Yifan Shen and Jonah Taylor | The Double Pendulum |
MON NOV 23 #3* (extra credit) |
15 minutes | Noor Ahmed, Gloria Mayorga-Garcia and Erin Kim | Chaos Theory |
MON NOV 30 #1
|
12 minutes |
Trevor Nash and Peter Renn | An Orderly Approach To Chaos (link) |
MON NOV 30 #2
|
12 minutes |
Riley James and Thayer Fisher | Stiff Differential Equations |
MON NOV 30 #3 |
12 minutes |
Will Bergman and Mike Ma | Harmonic Oscillators |
WED DEC 2 #1 |
15 minutes |
Zack Conrad, Michal Nowicki and Eddie Perezic | The Magnus Effect |
WED DEC 2 #2 |
12 minutes |
Stephen Heim and Ellie O'Brien | Three Dimensional Systems of Linear ODEs |
WED DEC 2 #3 |
15 minutes |
Jake Chambers, Courtney Hutton and Evan Lubin | Nonlinear Systems in Three Dimensions |
Here are the project groups for the 2015 edition of Math 340: Differential Equations
Group |
Members |
Time Limit |
1 | Zack Conrad, Michal Nowicki and Eddie Perezic |
15 |
2 | Stephen Heim and Ellie O'Brien |
12 |
3 | Niko Lachman, Kaleb Mitchell and Matt Mulvehill |
15 |
4 | Noor Ahmed, Gloria Mayorga-Garcia and Erin Kim |
15 |
5 | Trevor Nash and Peter Renn |
12 |
6 | Jake Chambers, Courtney Hutton and Evan Lubin |
15 |
7 | Riley James and Thayer Fisher |
12 |
8 | Brian Okimoto, Yifan Shen and Jonah Taylor |
15 |
9 |
Will Bergman and Mike Ma |
12 |