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Class2
µÚÒ»ÕÂ Measure theory

Class3
Sec.1.2. Measure       
Sec.1.3. Outer Measure

Class4
Sec.1.4. Constructing outer measure

Class5
Sec.1.5-1.6 Lebesgue measure

Class6
Sec.1.7 Metric space

Class7
Sec.1.8-1.9 Construction of metric outer measure

Class8
Sec.1.9 Construction of metric outer measure

Class9
sec.1.10 Signed measure

Class10

Class11       
µÚ¶þÕÂ Integration
Sec. 2.2 Operations on measurable functions

Class12
Sec 2.3. Egoroff¡¯s Thm.

Class13
Sec 2.3 Egoroff¡¯s Thm.

Class14
Sec 2.4 Convergence in measure

Class15
Sec 2.5 Integrals of simple functions

Class16
Sec. 2.6 Integrable functions

Class17

Class18
Sec. 2.7 Properties of integrals

Class19-20

Class21
Sec.2.9 DCT

Class22
Sec. 2.10 Applications of DCT

Class23-24
Sec 2.11 (Proper) Riemann integral

Class25

Class26
Sec. 2.13. Lebesgue decomposition

Class27
Sec. 2.13. Lebesgue decomposition

Class28
Sec. 2.14 Fundamental Thm of Calculus on

Class29

Class30

Class31

Class32

Class33
µÚÈýÕÂ Metric spaces
Sec. 3.1 Topological spaces & metric spaces

Class34

Class35

Class36

Class37

Class38

Class39

Class40

Class41
Sec.3.7 Stone-Weierstiass Thm.

Class42

Class43

Class44
µÚËÄÕÂ Banach spaces

Class45-46
Sec. 4.4 Linear Transformations

Class47
sec. 4.5 Principle of uniform bddness (Banach- Steinhaus Thm)

Class48

Class49

Class50

Class51 ÎÞ

Class52

Class53

Class54-56

Class57

Class58
Sec. 4.11 Topology

Class59

Class60
Sec. 4.13 Adjoint operators

Class61

Class62

Class63

Class64

Class65
µÚÎåÕÂ Compact operators

Class66
Sec. 5.2 Fredholm-Riesz-Schauder Theory

Class67

Class68

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