Contents: Messages · Examinations · Syllabus · Exercises · Lectures
2007-01-11: The grading is done. Results should appear in the usual places soon. The distribution was as follows:
A: 6 – B: 5 – C: 13 – D: 6 – E: 4 – F: 15 – total: 49.
This seems quite reasonable except that too many (30.5%) have failed.
2007-01-03: Availability of grades. On the exam sheets, I wrote that grades will be available on 5. January 2007. It turns out that this was based on lack of information about the rules. Instead, grades should be available on 12. january. The extra time is really needed in order to do the grading properly.
I have corrected a few more misprints in the posted solution. It is now up to version 1.7. (The version number is in the lower righthand corner on each sheet.)
HH-O: The Cauchy integral theorem. (PDF: A5/A4.) Basically, the note gives a more fundamental definition of the path integral, and a different proof of the Cauchy integral theorem. It gives some proofs in much more detail than I expect you to absorb.
Paul R. Chernoff: Pointwise Convergence of Fourier Series. The American Mathematical Monthly, 87 (1980), 399–400. (The link requires a subscription. NTNU subscribes, so you can get the paper so long as you are within the NTNU computer network. Use the DOWNLOAD link at the top of the page, and select high quality output to get something that looks good when you print it.)
HH-O: The Riemann–Lebesgue lemma. (PDF: A5/A4.) A much simpler proof than the one in the book (on p.~504). We need it for the proof in Chernoff's paper.
HH-O: The classification of isolated singularities. (PDF: A5/A4.) Section 4.6 of the book, in very short form.
Nakhlé H. Asmar: Applied Complex Analysis with Partial Differential Equations (Prentice Hall; ISBN: 0130892394).
Some changes may occur.
Chap | Read | Comments |
---|---|---|
1 | All | |
2 | 1–4 | |
3 | 1–7, 9 | Skip proofs in 3.5 and 3.9 |
4 | 1–6 | |
5 | 1–4 | except pages 338–342 and 348–351 |
7 | 1–5 | |
8 | 1–4, 6 | except pages 558–560 |
Note: There was a misprint in the syllabus: I had listed only sections 1–4 for Chapter 7. But don't worry, there will be no need for complex Fourier series on this year's exam. But I reserve the right to ask about it on the spring exam, for those that need to (re)take the exam then.
Harald Hanche-Olsen Oppdatert: 2007–01–11 19:37