2020 Real Analysis II

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Academic unit or major
Undergraduate major in Mathematics
Instructor(s)
Tonegawa Yoshihiro 
Course component(s)
Lecture / Exercise
Mode of instruction
ZOOM
Day/Period(Room No.)
Tue3-6(H102)  
Group
-
Course number
MTH.C306
Credits
2
Academic year
2020
Offered quarter
2Q
Syllabus updated
2020/3/24
Lecture notes updated
2020/7/4
Language used
Japanese
Access Index

Lecture

Lecture 1 Extension theorem for measures

2020.6.23(Tue.) 3-4Session

Exercise

Lecture 2 Problem session

2020.6.23(Tue.) 5-6Session

Lecture

Lecture 3 Outer measures and construction of measures

2020.6.30(Tue.) 3-4Session

Exercise

Lecture 4 Problem session

2020.6.30(Tue.) 5-6Session

Lecture

Lecture 5 Relation between Riemann integral and Lebesgue integral

2020.7.7(Tue.) 3-4Session

Exercise

Lecture 6 Problem session

2020.7.7(Tue.) 5-6Session

Lecture

Lecture 7 L^p-spaces and its completeness, fundamental functional inequalities

2020.7.14(Tue.) 3-4Session

Exercise

Lecture 8 Problem session

2020.7.14(Tue.) 5-6Session

Lecture

Lecture 9 Product measure and iterated integral

2020.7.21(Tue.) 3-4Session

Exercise

Lecture 10 Problem session

2020.7.21(Tue.) 5-6Session

Lecture

Lecture 11 Fubini theorem and its applications

2020.7.28(Tue.) 3-4Session

Exercise

Lecture 12 Problem session

2020.7.28(Tue.) 5-6Session

Lecture

Lecture 13 Extension of Fubini theorem

2020.8.4(Tue.) 3-4Session

Exercise

Lecture 14 Problem session

2020.8.4(Tue.) 5-6Session

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