| Math 111b |
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| Analysis, II | |
| Winter 2010–11 | |
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2:30 - 4:00 MW // 159 Sloan
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Instructor: Barry
Simon, 164 Sloan, 395-4330, bsimon@caltech.edu
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Announcements:
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Topics: This year, Ma 111b will do advanced topics in complex analysis following up on Ma 110b, which is a prerequisite. Topics include: Elliptic Integrals, Review of Weierstrass Elliptic functions, Jacobi Elliptic Functions, Elliptic Modular Functions. Introduction to Analytic Number Theory: Jacobi 2 and 4 square Theorems, Dirichlet Series, Dirichelt’s Prime Progression Theorem, Prime Number Theorem. Picard’s Theorem via Zalcman’s Lemma, Conformal Metrics, Alhfors-Robinson Proof of Picard’s theorem. If time allows, some topics in Complex ODEs and asymptotic methods will be discussed. |
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Grading: Based on homework; no exams. Homework: There will be four homeworks due roughly every two weeks. They will definitely be longer than a one-week homework. The first three homeworks will have roughly equal weight and the last homework, which will have a three-week time period, will be longer and be worth somewhat more. Until one week before the homework is due, you may not collaborate but you may use any books. For the last week you may collaborate with others in the class or ask leading questions of the TA or Professor. The spirit of this is that you should be making significant effort to do the homework yourself before speaking to others (so if you leave the homework for the last few days, you really shouldn't collaborate until a day after you seriously start). Also, this should be primarily your own efforts. So it is contrary to the spirit (but not technically the letter) of the collaboration policy for two or more students to sit down and do the homework as a joint project. Included in "use any books" is googling on the Internet. However, posting the homework on a chat site is definitely an example of collaboration NOT with others in the class and is therefore not allowed.Late homework policy: If you get a note from the Dean's Office (personal problems) or infirmary (medical problems) requesting a postponement, it will be honored. Otherwise, late homework will not be accepted EXCEPT ONE time you may email me PRIOR to the due time requesting an extension of up to one week and it will granted. |
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We will use a draft book by Barry Simon on Complex Analysis (that covers both Ma 110b and 111b). We are getting this 800-page manuscript "printed" by Caltech media arts at a cost of $50 per copy. You need to place an order and pay for this no later than Monday, December 13 at noon. You can place the order with Stacey or Kristy in the Math Office. (Part of this was used in Ma 110b last year but this has a lot of new material beyond that version). |
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Video Course Captures |
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