Math 246 Extra Credit Projects, Spring 2009
(11 May version)
Many of you have been assigned individual extra credit projects.
Most of these projects will consist of a sequence of phase-plane
portraits, each of which has a caption (paragraph) that explains
what the portrait shows and perhaps presenting supporting analysis.
Together, these portraits and their captions should tell a story.
For example, for a nonlinear problem they might explain where the
stationary points are located and how their stability is changing.
Your entire project should be combined into a single pdf file and
e-mailed to me by Tuesday, May 12. Please name your pdf file:
"XxxxxY.pdf" where Xxxxx is your last name
and Y is the initial letter of your first name. No spaces!
You get 20 points when it is posted below. Outstanding ones will
get an additional 5 points --- a total of 25 points.
Projects (listed alphabetically by student)
-
A Tour through the Mean-Discriminant Plane
[mu + 1, -mu; mu, mu - 1]
by Sarah Adelman (pdf)
-
The Transition between Problem 6 of 9.3 and
Problem 8 of 9.3
by Abdulmalik Almeheini (pdf)
-
The Transition between Problem 4 of 9.4 and
Problem 4 of 9.5
by Jason Baldwin (pdf)
-
The Transition between Problem 5 of 9.4 and
Problem 6 of 9.4
by Rosemond Boateng (pdf)
-
A Damped Hamiltonian System
by Marek Buda-Ortins (pdf)
-
An Undamped to Underdamped to Overdamped Pendulum
by Keith Burghardt (pdf)
-
The Transition between Problem 1 of 9.5 and
Problem 3 of 9.5
by Fiza Chaudhry (pdf)
-
The Transition between Problem 2 of 9.4 and
Problem 2 of 9.4
by Brian Chiosi (pdf)
-
The Transition between Problem 6 of 9.4 and
Problem 3 of 9.5
by David Craytor (pdf)
-
The Transition between Problem 3 of 9.4 and
Problem 5 of 9.4
by Jessica Ernst (pdf)
-
Pendulums in a Potential
by Tyler Fean (pdf)
-
A Tour through the Mean-Discriminant Plane
[2mu, mu - 1; mu + 1, 0]
by Ian Hall (pdf)
-
The Famous Lorenz Attractor
by Sean Henely (You need Java to play with this.)
-
The Transition between Problem 6 of 9.4 and
Problem 4 of 9.5
by Paul Henning (pdf)
-
The Transition between Problem 2 of 9.4 and
Problem 6 of 9.4
by Korey Hopkins (pdf)
-
The Transition between System (3) of 9.4
and System (21) of 9.4
by Norville Hughes (pdf)
-
The Transition between Problem 6 of 9.3 and
Problem 8 of 9.3
by Denis Karamyshev (pdf)
-
The Transition between Problem 3 of 9.4 and
Problem 3 of 9.5
by Jonathan Kumi (pdf)
-
A Family of Hamiltonian Systems
by Seung Lee (pdf)
-
The Transition between System (3) of 9.4
and System (2) of 9.5
by Andrew Levinson (pdf)
-
Various Hamiltonian Systems
by Matthew Marsh (pdf)
-
Various Cubic Oscillators
by Harsh Mishra (pdf)
-
Hamiltonian System with Various Dampings
by Ehsan Mohammadi (pdf)
-
Cubic Oscillator with Various Linear Dampings
by Henrik Molintas (pdf)
-
A Damped to Undamped Oscillator
by Alex Muroyama (pdf)
-
The Transition between System (21) of 9.4
and System (2) of 9.5
by Tim Murray (pdf)
-
A Tour through the Mean-Discriminant Plane
[mu + 1, 1; 3, mu - 1]
by Serge Muya (pdf)
-
The Transition between Problem 1 of 9.4 and
Problem 2 of 9.4
by Ben Nguyen (pdf)
-
A Tour through the Mean-Discriminant Plane
[mu + 1, -1; 3, mu - 1]
by Toan Nguyen (pdf)
-
A Tour through the Mean-Discriminant Plane
[mu, 1 - mu; 1 + mu, mu]
by Alexey Nikiforov (pdf)
-
The Transition between Problem 5 of 9.4
and Problem 3 of 9.5
by Nathan Ong (pdf)
-
The Rossler Attractor
by Tin Ousborne (pdf)
-
The Transition between Problem 2 of 9.5 and
Problem 3 of 9.5
by Chris Palm (pdf)
-
Quadratic Oscillator
with Various Linear Damping Coefficients
by Kevin Paszinski (pdf)
-
The Transition between Problem 1 of 9.4 and
Problem 2 of 9.5
by James Polivka (pdf)
-
Various Interacting Species
by David Pressman (pdf)
-
The Transition between Problem 10 of 9.2 and
Problem 13 of 9.2
by Corinne Resch (pdf)
-
The Transition between Problem 1 of 9.3 and
Problem 4 of 9.3
by Emily Rodriguez (pdf)
-
The Transition between Problem 15 of 9.3 and
Problem 16 of 9.3
by Omir Sabir (pdf)
-
Various Predator-Prey Systems
by Michael Schwartz (pdf)
-
Double Well System with Cubic Damping
by Mollie Semmes (pdf)
-
The Transition between Problem 1 of 9.4 and
Problem 1 of 9.5
by Irina Shaorshadze (pdf)
-
The Transition between Problem 2 of 9.4 and
Problem 1 of 9.5
by Rajan Sharma (pdf)
-
Pendulum with Various Cubic Dampings
by Justin Shearer (pdf)
-
Various Cubic Oscillators with Linear Damping
by Natan Simhai (pdf)
-
Quadratic Oscillator with Cubic Dampings
by Kevin Smith (pdf)
-
A Tour through the Mean-Discriminant Plane
[mu, mu - 1; mu + 1, mu]
by Kelley Stanka (pdf)
-
The Transition between System (5)
and System (11) of 9.2
by Anh-Duc Van (pdf)
-
The Transition between Problem 2 of 9.4 and
Problem 3 of 9.5
by Kelliann Wachrathit (pdf)
-
The Transition between Problem 2 of 9.4 and
Problem 4 of 9.5
by Bowei Zhu (pdf)