Class10
| Week | Course Content | Course Video |
|---|---|---|
| Class1 課程介紹 第一章 Measure theory Class1 課程導論 | Watch Online | |
| Class2 | 線上觀看 | |
| Class3 Sec.1.2. Measure Sec.1.3. Outer Me | 線上觀看 | |
| Class4 Sec.1.4. Constructing outer measure | 線上觀看 | |
| Class5 Sec.1.5-1.6 Lebesgue measure | 線上觀看 | |
| Class6 Sec.1.7 Metric space | 線上觀看 | |
| Class7 Sec.1.8-1.9 Construction of metric outer meas | 線上觀看 | |
| Class8 Sec.1.9 Construction of metric outer measure | 線上觀看 | |
| Class9 sec.1.10 Signed measure | 線上觀看 | |
| Class10 | 線上觀看 | |
| 第二章 Integration Class11 Sec. 2.2 Operations on measurable functions | 線上觀看 | |
| Class12 Sec 2.3. Egoroffs Thm. | 線上觀看 | |
| Class13 Sec 2.3 Egoroffs Thm. | 線上觀看 | |
| Class14 Sec 2.4 Convergence in measure | 線上觀看 | |
| Class15 Sec 2.5 Integrals of simple functions | 線上觀看 | |
| Class16 Sec. 2.6 Integrable functions | 線上觀看 | |
| Class17 | 線上觀看 | |
| Class18 Sec. 2.7 Properties of integral | 線上觀看 | |
| Class19 | 線上觀看 | |
| Class20 | 線上觀看 | |
| Class21 Sec.2.9 DCT | 線上觀看 | |
| Class22 Sec. 2.10 Applications of DCT | 線上觀看 | |
| Class23 Sec 2.11 (Proper) Riemann integral | 線上觀看 | |
| Class24 | 線上觀看 | |
| Class25 | 線上觀看 | |
| Class26 Sec. 2.13. Lebesgue decomposition | 線上觀看 | |
| Class27 Sec. 2.13. Lebesgue decomposition | 線上觀看 | |
| Class28 Sec. 2.14 Fundamental Thm of Calculus on | 線上觀看 | |
| Class29 | 線上觀看 | |
| Class30 | 線上觀看 | |
| Class31 | 線上觀看 | |
| Class32 | 線上觀看 | |
| Class33 | 線上觀看 |
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