| Math 110c |
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| Analysis, I | |
| Spring 2010-11 | |
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11:00 MWF // 159
Sloan
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Instructor: Barry
Simon, 164 Sloan, 395-4330, bsimon@caltech.edu
Grader: Milivoje Lukic, 158 Sloan, 395-4373, mlukic@caltech.edu |
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Topics: This year, Ma 110a will do the basics of real and functional analysis, Ma 110b the basics of complex analysis, and Ma 110c the basics of harmonic analysis and operator theory. In 110c: Maximal Functions, Ergodic Theorem, Differentiation of Integrals, Harmonic and Subharmonic Functions, Function Theory on the Disk including the basics of Hp spaces and boundary values, Compact Operators on a Hilbert Space, Orthogonal Polynomials, The Spectral Theorem, The Moment Problem, Commutative C*-Algebras |
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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 (per term) you may email me PRIOR to the due time requesting an extension of up to one week (for the last HW up to two days) and it will granted. |
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Recommended Text:
Rudin is a classic and will cover most of the material in the first half. Especially with the paperback edition, there are good prices to be found at http://www.bookfinder.com/. That said, I will provide notes for about 80% of the material, and where not, I will provide info on alternates available for download by chapter through the library from Caltech computers. |
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Audio Files Video Files |
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