Math 309 C:

Linear Analysis

Instructor: Sean Holman

Email: holmansf[at]math.washington.edu

Office: Padelford C-435

Office Hours: Thursdays 2-4 pm, Tuesdays 2:30 – 4:00 pm, and by appointment.

· Official Department Syllabus for 309

Announcements

Wednesday, September 26. This is the first day of class. If you didn’t get the Syllabus, then please follow the link above. Note that the first homework assignment will be due on October 5. Even though this is a week and a half away, you should start it now!
Tuesday, October 2. All of the homework problems due on 10/12 are now posted under the Homework/Lectures link.
Monday, October 8. I have had to change my office hour from Wednesday 4-5 to Tuesday 2:30 – 4:00.
Monday, October 15. Since some of the material I am covering in class on Jordan forms and matrix exponentials is not in the book, I wrote the following handout. Jordanhandout.pdf . The exercises in the handout are not required, but if you want a deeper understanding of the topic they are certainly suggested. Also I have written up the following solutions to the review problems. Review Problem Solutions . Finally, I have a new challenge problem related to matrix exponentials which will be due on October 26. Challenge Problem 2 . This problem is extra credit (optional).
Monday, October 22. Don’t forget that the midterm is this Wednesday, the 22^nd. Here is a link to the review sheet. Don’t forget that you are allowed one page of handwritten notes, but are not allowed to use graphing calculators. I will be in my office from 9:30-12:00 and from 2:30-4:30 on Tuesday if you want any help before the exam.
Monday, October 29. I have finished grading the midterms. You can find solutions here. The average score was 36.2/50, and the median was 38/50. You can estimate your grade on the midterm by linearly interpolating between the following grades:

48/50 = 4.0

38/50 = 3.3

30/50 = 2.6

20/50 = 2.1

Monday, October 29. For the homework problems that ask you to plot trajectories from level curves of a function, you can use this level curve plotter. Thanks to Brian Higgins at UC Davis for creating this application and making it available on the web.
Monday, November, 5. Here is a solution of the second challenge problem. Here is a new challenge problem that will be due 11/16.
Wednesday, November 14. Don’t forget that the second midterm is next Wednesday, the 21^st! To prepare for the exam I suggest the following problems, which I also announced in class and are listed on the homework portion of the website

10.5: 10, 11

10.6: 12(a)(b), 13(a)(c).

I will also be posting a review sheet, probably on Friday, that will tell you what other material will be on the test.

· Friday, November 16. Here is a study sheet that will tell you what topics will be covered by the second midterm.

· Monday, November 26. You can find solutions to the second midterm here. The average and median scores on the exam were both 35/50. You can estimate your grade by linearly interpolating between the following grades:

45/50 = 4.0

35/50 = 3.2

30/50 = 2.6

23/50 = 2.0

· Monday, December 3. You can find the last challenge problem here. Also, I have posted some suggested problems from section 10.8 to help you study for the final. These are

10.8: 2, 3(a), 6(a), 10.

· Tuesday, December 4. Here is the review sheet for the final.

· Friday, December 7. After thinking more about the final I have decided, as I announced in class today, that the breakdown of material by topic will actually be:

Solving Systems of ODE: 35%

Phase Plane (Qualitative) Analysis: 10%

Solving PDEs and Fourier Series: 55%

This is slightly different from what it says on the review sheet. On the review sheet I put 30% for the ODEs and 60% for the PDEs.