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School of Engineering
- Undergraduate major in Mechanical Engineering
- Undergraduate major in Systems and Control Engineering
- Undergraduate major in Electrical and Electronic Engineering
- Undergraduate major in Information and Communications Engineering
- Undergraduate major in Industrial Engineering and Economics
- Common courses
- School of Materials and Chemical Technology
- School of Computing
- School of Life Science and Technology
- School of Environment and Society
- 工学院，物質理工学院，環境・社会理工学院共通科目
- Liberal arts and basic science courses
- First-Year Courses
- School of Science
- School of Engineering
- School of Materials and Chemical Technology
- School of Computing
- School of Life Science and Technology
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School of Environment and Society
- Department of Architecture and Building Engineering
- Department of Civil and Environmental Engineering
- Department of Transdisciplinary Science and Engineering
- Department of Social and Human Sciences
- Department of Innovation Science
- Graduate major in Technology and Innovation Management
- Common courses
- Liberal arts and basic science courses
- Academic unit or major
- Graduate major in Mathematical and Computing Science
- Instructor(s)
- Murofushi Toshiaki
- Class Format
- Lecture
- Media-enhanced courses
- Day/Period(Room No.)
- Mon5-6() Thr5-6()
- Group
- -
- Course number
- MCS.T420
- Credits
- 2
- Academic year
- 2021
- Offered quarter
- 4Q
- Syllabus updated
- 2021/4/6
- Lecture notes updated
- 2022/2/15
- Language used
- Japanese
- Access Index
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Lecture
Lecture 1 Measurable spaces
第1回 可測空間 スライド ダイジェスト版(1601KB)
Lecture
Lecture 2 Definition and properties of measure
2021.12.9(Thu.) 5-6Session
Lecture
Lecture 3
2021.12.13(Mon.) 5-6Session
Lecture
Lecture 4 Construction of measures
2021.12.16(Thu.) 5-6Session
Lecture
Lecture 5 Lebesgue measure spaces
2021.12.20(Mon.) 5-6Session
Lecture
Lecture 6 Measurable functions
2021.12.23(Thu.) 5-6Session
Lecture
Lecture 7 Definition of integral
2022.1.6(Thu.) 5-6Session
Lecture
Lecture 8 Properties of integral
Lecture
Lecture 9 Convergence theorems
2022.1.17(Mon.) 5-6Session
Lecture
Lecture 10 Function spaces
2022.1.20(Thu.) 5-6Session
Lecture
Lecture 11 Convergence concepts
2022.1.24(Mon.) 5-6Session
Lecture
Lecture 12 Product measures and Fubini's theorem
2022.1.27(Thu.) 5-6Session
Lecture
Lecture 13 Signed measures
2022.1.31(Mon.) 5-6Session
Lecture
Lecture 14 Radon-Nykodym's theorem
2022.2.3(Thu.) 5-6Session
Lecture
Lecture 15 Non-additive measures and the Choquet integral
2022.2.9(Wed.) 5-6Session
End of Term Examination
Lecture 16 Final assignment
2022.2.13(Sun.)
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