| Math 110a |
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| Analysis, I | |
| Fall 2006-07 | |
11:00 MWF // 159 Sloan |
Instructor: Barry Simon, 164 Sloan, 395-4330, bsimon@caltech.edu
Grader: Dmitry Pavlov, 158 Sloan, 395-4373, dmitry@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 110a: Point set topology including compact spaces, Tychonoff's theorem, Stone-Weierstrass. The geometry of Hilbert space. Measure theory on compact and locally compact spaces. Convex functions and inequalities. Banach spaces. Lp spaces. Fourier analysis. |
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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. Until one week before the homework is due, you may not collaborate. For the last week you may collaborate with others in the class or ask leading questions of the TA or Professor.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. No collaboration on homework but you may use any books. |
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Recommended Texts: There are two texts, both are recommended, not required,in part because some material in the lectures will not be in them. That said, one or both will be very useful in terms 1 and 3 of Ma 110.
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