COURSE INFORMATION
550.391 DYNAMICAL SYSTEMS
AUTUMN 2011
| Instructor #1: | Gregory Eyink |
| Department: | Applied Mathematics & Statistics |
| Office: | Whitehead 202-D |
| Office hours: | Mon, Wed - 12:30-1:20pm |
| Email: | eyink@jhu.edu |
| Phone: | (410) 516-7201 |
Course Web Page: http://www.ams.jhu.edu/~eyink/Dynamical-Systems
Text: Stephen H. Strogatz, Nonlinear Dynamics and Chaos, 1994.
Homework: There will be weekly assignments due in class every Friday.
Students may
discuss homework, however, all solutions MUST be written up and submitted individually.
Overview of Topics Covered:
I. 1-Dimensional Flows (Fixed Points & Stability, Bifurcations).
II. 2-Dimensional Flows (Phase Portraits, Limit Cycles, Bifurcations).
III. Chaos (Lorenz Equations, Maps of the Interval, Fractals, Strange Attractors).
Grading:
Your final grade in this class will be determined as follows:
| Homework | 50% | (due every Friday in class) |
| Class Project (Term Paper) | 25% | (due December 3) |
| Midterm/Final Exam | 25% | (early to middle October/Finals Week) |
The importance of the three items is in the order listed:
Homework, Class Project, Midterm/Final Exam.
Late Homework and Make-Up Exams:
Unless discussed ahead of time with the instructor, the following rules apply to late homework:
If homework is not turned in during class, it MUST be delivered to Whitehead 100.
Make-ups for the Midterm and Final Exams may be available if exams are missed due to illness
or family emergency.
Make-up exams are only available if discussed with the instructor at least 1 day before the date
of the exam.
If an emergency arises after that time and there is a valid excuse, then the exam will be removed
from the student's
total grade for the course, and the remainder reweighted accordingly.
Proper documentation of the emergency
must be presented before either of these options can be offered.
Guidelines for Ethical Conduct:
The strength of the university depends on academic and personal integrity.
In this course, you must be honest
and truthful. Ethical violations
include cheating on exams, plagiarism, reuse of assignments, improper
use
of the Internet and electronic devices, unauthorized collaboration,
alteration of graded assignments, forgery
and falsification, lying,
facilitating academic dishonesty, and unfair competition.
In addition, specific ethics guidelines for this course are as follows:
Students may discuss homework. However,
all solutions MUST be written up and
submitted individually. The same rules apply to computer programs.
Basic ideas
may be discussed but detailed codes should not be copied or shared. Finally,
exams must
represent the result of individual effort and communication is
permitted only with the instructor and TA.
Report any violations you witness to the instructor. You may consult the
associate dean of student affairs
and/or the chairman of the Ethics Board
beforehand. See the guide on ``Academic Ethics for Undergraduates''
and
the Ethics Board Web site (http://ethics.jhu.edu) for more information.