Welcome to the home page for Mathematics 427k

The professor for this section of the course is Professor Karen Uhlenbeck. Professor Uhlenbeck can be reached at uhlen@math.utexas.edu

The TA is Jonathan Williams. His e-mail address is jwilliam@math.utexas.edu.

Professor Uhlenbeck's Schedule and Office Hours

Basic information about the course is available on the first day handout.

The first exam will be in the lecture hall on Tuesday, February 8. It will cover sections 1.1-1.3; 2.1-2.5 and the material discussed in the lecture and in the homework (Note that there is a homework set due February 10 which you should be able to do for the exam).

The second exam is scheduled for Thursday, March 31 during the lecture. It will cover 3.1,3.2,3.3,3.4,3.5.4.14.2,4.3,7.1,7.2,7.3,7.5, 7.6.

The third make-up exam will be during the last week of class, Tuesday, May 3.

The final is scheduled in the slot of the Problem Section, MW 3:00-4:00. According to this schedule, the final exam will be Wed May 11 7-10 PM. It will be held in two adjoining rooms in Pharmacy PHR2.110-2.108.

Here is a list of the homework under the date it is to be handed in.

There will a total of 11 assignments. The last one will be due May 5. Your grade on the homework will take into account the top 10 (the lowest grade will be dropped).

Homework 1 (to be handed in Jan 25)

Homework 2 (to be handed in February 3)

Homework 3 (due February 10) (Review before the exam 2/8)

Homework 4 (due February 24)

Homework 5 (due March 3).

Homework 6(due March 10)

Homework scheduled over spring break is to do be sure you can do the exercises at the end of Section 7.2 -7.4 of the text. This will not be collected.

Homework 7(due March 31)

Homework 8(due April 14)

Homework 9(due April 21)

Homework 10 (due April 28).

Homework 11 (extra assignment, can replace any of 1-10) (due May 5)

(click(here) if you need more info on the maple program for assignment 11)

Click here for a list of lecture topics, readings and problems to do for practice for course. The more problems from the book you do, the better off you are!

(1/28)There was an error in some of the algebra in the lecture on 1/25. here is a correction.

(2/1) In the lecture, we covered the notion of linearizing a first order autonomous differential equation at a critical point. It is not in the book. Here is a description. Note the correction of -15 made on 2/7 in the last example.

(2/7) Office hours are 4-5 today. The corrected homework is outside Professor Uhlenbeck's door.

(2/15) Yes, I forgot to put the link to the homework for Thursday (2/17) on my web page. Hence there is no homework due until a week from Thursday (2/24). Please ask if you do not find the homework for the next Thursday posted a week in advance.

(2/21) There was an erroro in the first version of problem 2 in homework #4. It should have read (and now reads) y" - 9y = 0.

(2/22) There will be no office hours today due to a faculty meeting. Office hours on 2/23 will start at 1:30 instead of 1:00.

(2/23) For the homework due on March 3, you are asked to use a symbolic manipulation program to solve an equation, and it is suggested you might like to check your answers to all the problems using this method. The program dsolve in matlab is one possibility.

Call up matlab and type help dsolve to learn how to use this program.

(3/24) I corrected problem 4 today on homework 7. The original version was an equation not of the type we are studying. The rest of the questions seem to be sensible.

(3/29) There will be no office hours today due to a department meeting. Your can try to find me after 4:30 or so if you need to talk to me..

(4/18) There was a random = sign in problem 1of homework 9 which should be a minus. It is corrected on the current version of homework 9. Note that there is a great deal of similarity between problem 1 and problem 2---but a key difference, too.

(4-19)-(4-29) I have extra office hours during these two weeks for advising graduate students, but you 427k students are welcome to sign up in one of the vacant slots. The sign-up sheet is posted on my door. You are also welcome to drop by during these extended hours if no one is signed up. I noticed that some of you have tried to come by when I have been busy with graduate students and mathematical colleagues. I apologize that I usually cannot drop everything to see you. My secretary always has good information on when is a good time to try me.