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Differential Equations writing project

As the first step in completing your Differential Equations writing project, you will be required to
submit a hard copy of a typewritten summary containing your project description, project outline, and a
corresponding reference list of at least two peer-reviewed sources. Minimally, an acceptable project
description must be a carefully constructed complete sentence with a focus narrow enough to treat fully in a 5-7
page paper. The project outline should include a bulleted list of points that refer to the appropriate reference(s)
You may not use non-refereed Internet or popular magazine sources for this assignment. For the final
draft of your paper, you will be asked to provide copies of the portions of your sources used. If your project
description is not approved, you will be required to resubmit this assignment. Projects submitted without an
approved description will not be graded.
The project description, outline, and reference list are due in class on Wednesday, October 14th, 2019.
The due date for your final project submission is November 11, 2020 (final day of class). Student projects
should all be substantially different and done independently. Examples of possible topics are listed below.
Sample Topics
1) Lorenz equations (chaos)
2) RLC circuits
3) Projectile motion with wind resistance
4) Predator-prey models
5) Solutions to differential equations involving special functions (Airy equation, Bessel equation, Hermite
equation, etc)
6) Fourier series solutions to linear ODEs
7) Double pendulum problem
8) Linear stability of dynamical systems
9) Kepler’s laws
10) Quantum harmonic oscillator equation and solutions
11) Reduction of partial differential equations to systems of ordinary differential equations (e.g. method of
separation of variables)
12) Sturm-Liouville boundary value problems and solutions
13) Numerical approaches to solving initial or boundary value problems
14) ODE models of epidemics (e.g. spread of disease)
15) Alternatives to Newton’s law of cooling model for time-of-death estimation (e.g. Rainy’s method,
Marshall & Hoare model, etc.)

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