Holiday
GEN III綜三 115 T5T6F3F4
We will begin with review some preliminaries to Complex Analysis, then we will cover the basic part of complex analysis: Cauchy’s Theorem and Its Applications and . Next we will cover the harmonic functions And then, we will cover fractional linear transform and onformal Mappings. If we have more time, we will cover some analytic number theory: the Gamma and Zeta Functions , the Prime Number Theorem elliptic Functions and applications of Theta Functions
Course keywords: holomorphic functions, analysis functions ,Cauchy theirem, Cauchy integral formulae, harmonic functions, fractional transform, conformal mapping. Textbook : Basic COMPLEX ANALYSIS by Barry Simon A comprehensive course in analysis part2a Contents: 1. Preliminaries to Complex Analysis 2. Cauchy’s Theorem and Its Applications 3. Space of analytic functions. 4. Fractional linear Transform 5. Conformal mapping 6. The Gamma and Zeta Functions 7. Conformal Mappings 8. Zeros of analiytic functions 9. Elliptic Functions 本課程要求同學由作題目學習 Complex Analysis 成績的評定是依據作業的表現.
MON | TUE | WED | THU | FRI | |
08:00108:50 | |||||
09:00209:50 | |||||
10:10311:00 | |||||
11:10412:00 | |||||
12:10n13:00 | |||||
13:20514:10 | |||||
14:20615:10 | |||||
15:30716:20 | |||||
16:30817:20 | |||||
17:30918:20 | |||||
18:30a19:20 | |||||
19:30b20:20 | |||||
20:30c21:20 |
Average GPA 3.42
Std. Deviation 0.59
本課程上150分鐘,其餘時間由教授彈性運用。
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