Fall 2003
 
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Final Projects |
 
FINAL EXAM SOLUTIONS page 1, 2, 3, 4, 5 (corrected: spiral sink, not sink!), and Mathematica plots etc ( notebook and html).
 
 
IMPORTANT:
If you would like, you can have your oral project
presentation count as an oral final exam. However, if you choose to do so,
you must have, on average, very good to excellent assessments of your
homework assignments and you must have turned in something plausible for
all but one of the assignments. (I.e., you can have one missing and one
lousy assignment, since your average homework score is computed dropping
your two worst scores.) Scout's honor that the homeworks that count towards
your average are principally original work (not copied from the solutions
or others in the class); it's OK to get a few problems that way, but the
bulk of the assignment should be your own work. Ask me if you have any
questions about that. If you qualify for and choose to make use of this
option, please let me know by the Tuesday after Thanksgiving (the earlier the
better, though).
Also, if you're missing more than two homework assignments, expect
that to influence your grade. Get in any late homework ASAP!!!
 
 
Mathematica notebooks
Arnold's cat Mathematica
notebook
(or html `hardcopy') from class
and cat sketching hints
(notebook
or html `hardcopy') for homework.
Mathematica notebook on matric exponentiation:
notebook (executable and modifiable in Mathematica),
HTML file.
 
INSTRUCTOR INFORMATION
Instructor: Debra Lewis
Differential Equations, second edition, by
P. Blanchard, R. Devaney, G. Hall. Brooks/Cole.
COURSE WEBPAGE
Math 106A home
OPTIONAL GRAPHING SOFTWARE
Some simple numerical and graphics software is provided with the
textbook. (Windows and Macs machines only, sorry!)
A
phase portrait plotting Java applet.
A graphing utility called
DPGraph is available for free to
all UCSC students, faculty and staff.
For further information, go to
DPGraph information.
Mathematica, Maple, and Matlab are excellent multipurpose
mathematical software packages, but cost money.
Supposed instructional computing lab software availability:
DPGraph: BE 109;
Mathematica 3.0: all instructional computing PC labs;
Matlab 6.5: BE 109, Oakes, and Social Sciences I PC labs.
HOMEWORK POLICIES
EXAMS
GRADING
TENTATIVE LECTURE SCHEDULE:
If you choose to take a written exam, the project will still contribute to
your grade. In that situation, the project can only influence your grade
for the better. If you have more specific questions, ask.
Office: 213 Kerr
Phone: 459-2718
E-mail: lewis@math.ucsc.edu
Office hours: M 10:30-12:00, W 7:00-8:30 PM, and by appointment
 
 
 
WARNING: The computing lab installations of mathematical software tend to be
unstable. ``The PC lab ate my homework'' is not a valid justification
for an incomplete assignment.
 
Homework assignments and solutions are available online, but
assignments are not `locked in' until they've been given in lecture.
Late homework will not be accepted.
Your homework should be neatly written, with the pages
securely fastened together and your name on every page.
 
 
Your two lowest homework scores will be dropped.
 
Tuesday
Thursday
September 25: 1.1-3   Review from a dynamical systems perspective
September 30: 1.5-7   Equilibria, bifurcations in 1-D
October 2: 2.1-2   Modeling dynamical systems,
2-D vector fields
October 7: 2.2-3   Some special systems
October 9: 2.4-5   Approximating solutions: Euler's method
October 14: 3.1   Linear systems
October 16: 3.2   Eigenvectors and straight-line solutions
October 21: 3.3   Linear systems with real eigenvalues
October 23: 3.4   Linear systems with complex eigenvalues
October 28: 3.6   Second-order linear systems, harmonic oscillators
October 30: MIDTERM
November 4: 3.7   Trace-determinant plane, bifurcations
November 6: 4.1-2   Forced harmonic oscillators
November 11:   HOLIDAY
November 13: 4.2-3   Undamped forcing and resonance
November 18: 5.1   Equilibria of nonlinear systems
November 20: 5.2   Qualitative analysis of nonlinear systems
November 25: 5.3   Hamiltonian systems (!!!)
November 27:   HOLIDAY
December 2: 5.3   Existence and uniqueness of solutions
December 4: 6.1   Laplace transforms