| 週次 |
授課內容 |
| 第1週 |
Product space: Product measure, Fubini theorem (Feb. 25) |
| 第2週 |
Product space: Convolution (Mar.4) |
| 第3週 |
The Radon-Nikodym theorem: Hahn decomposition theorem, The Radon-Nikodym theorem(Mar.11) |
| 第4週 |
The Radon-Nikodym theorem: Lebesgue decomposition theorem, Bounded linearfunctional(MID report1) (Mar.18) |
| 第5週 |
Fourier transforms: The inversion theorem, The Plancherel theorem (Mar.25) |
| 第6週 |
Banach spaces: The Hahn-Banach theorem, Baire’s theorem and consequences (MID report2)(Apr.1) |
| 第7週 |
Holiday(Observed holiday for NCHU Anniversary & Sports meet, no class)(Apr.8) |
| 第8週 |
Hilbert spaces: Inner products, Orthonormal sets (Apr.15) |
| 第9週 |
Hilbert spaces: Frouirer series (Apr.22) |
| 第10週 |
MIDTERM (Apr.29) |
| 第11週 |
Probability: Definition, Independence (May 6) |
| 第12週 |
Probability: Weak/Strong law of large numbers(Presentation), Conditionalexpectation(Presentation) (May 13) |
| 第13週 |
Probability: Martingales(Lecture/Presentation), Weak convergence(Presentation) (May 20) |
| 第14週 |
Probability: Characteristic functions(Lecture/Presentation) (May 27) |
| 第15週 |
Probability: Central Limit theorem&Kolomogorov extenstion(Presentation) (June 3) |
| 第16週 |
Probability: Brownian motion(Lecutre/Presentation) (June 10) |
自主學習
內容 |
05.參與本校各單位舉辦之各類工作坊活動
|