This course follows the first two semsters of
and is primarily about ordinary
differential equations and their applications. The last few weeks of the course are a short introduction to the basic partial differential equations and Fourier series. In THIS SECTION, we emphasize the basic theory of linear equations, we learn to solve equations and 2X2 systems of equations with constant coefficients, and we learn the first steps at understanding non-linear phenomena (find the equilibrium points and linearize!). We emphasize fundamental applications to radioactivity, population dynamics and graphical understanding of the behavior of equations. The is an excellent opportunity to see how calculus is used, and to solidify practical understanding of calculus. It also fits in well with a course in linear algebra. If you take this course first, it will help with linear algebra. If you take linear algebra first, part of this course will be easier. A certain number of topics in this course overlap with physics and engineering courses as well.
For fun, we look at one example of chaos, and students are given an opportunity to do a project for part of their grade. Neither the project, nor the computer exercises are required, but they are strongly recommended, partly because many students enjoy both. We have had some very interesting projects on everything from ecology through war to traffic. Other topics done partly for entertainment are some population modeling (wolves eating sheep, et.) and a lecture on basic music phenomena (what are overtones?).
Professor Uhlenbeck's office hours are M
2-3, Tu 2-3 ,Fri 3-4**and by
You may make an appointment by e-mailing either her firstname.lastname@example.org
her secretary email@example.com. Her office is in RLM on the 9th floor (9.160). She is out-of-town or has conflicts from time-to-time, and the times she will not be available are posted on her schedule. Handouts for the class to date are listed. Those in blue are posted on the web. If you miss a lecture when the handouts are passed out, your TA will have extra copies the next session. Practice exams will NOT be posted on the web. You must attend a lecture or TA session to obtain one.
News and corrections (for
there was an error on the computer instructions.)
First Day Handout ( basic course information)
Lecture Schedule and Homework Assignments one (through first exam)
Lecture Schedule and Homework Assignments two (first exam to second exam)
Lecture Schedule and Homework Asignments three (second exam to third exam)
Lecture Schedule and Homework Assignments four (third exam to final)
Information on computer accounts and netmath
Class Exercise (1/25)
Computer Assignment 1 (2/3)
Directions for using Netmath to do Computer Assignment 1(2/3)
Practice Problems on (finite difference equations).
Computer Assignment 2 (assigned 2/28)
Directions and advice on doing Computer Assignment 2
Computer Assignment 3 (to be assigned)
Computer Assignment 4 (to be assigned)
Computer Assignment 5 (to be assigned)
Other Course Information
(from fall l998)
The text is Elementary Differential
and Boundary Value Problems, by William
Boyce and Ruchard DiPrima
Lectures are TuTh 11:00 in CPE 2.208
Recitations are MW 3-4. You should go to recitation Wednesday 1/19. Computer accounts
will be handed out on that day (as well as later). You should also be sure to go to lecture on
1/18 and 1/20. Important information about the course and computers will be discussed.
The exams will all be held in the TA sections. The
exam is tentatively scheduled for February 9,
3:00-4:00. The second exam is scheduled for March 8, 3:00-4:00. The third exam is scheduled for
April 12, 3:00-4:00.The final is scheduled for May 12, 9:00-12:00.
Project Due dates: List of team members and topic (2/24), Outline (3/24) final project (4/28).
For more inforamtion, see projects.