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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
-
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
- Basic science and technology courses
- Instructor(s)
- Purkait Soma
- Class Format
- Lecture
- Media-enhanced courses
- Day/Period(Room No.)
- Tue3-4(H111) Thr1-2(H111)
- Group
- W
- Course number
- LAS.M105
- Credits
- 2
- Academic year
- 2018
- Offered quarter
- 4Q
- Syllabus updated
- 2018/3/20
- Lecture notes updated
- 2019/2/18
- Language used
- English
- Access Index
-
Lecture
Lecture 1 Real Numbers - Completeness axiom, Archimedean property, Density theorem
2018.11.29(Thu.) 1-2Session
Lecture
Lecture 2 Sequences, Limit Theorems, Monotone sequences
2018.12.4(Tue.) 3-4Session
Lecture
Lecture 3 Bolzano-Weierstrass Theorem, Cauchy-completeness, Introduction to Series
2018.12.6(Thu.) 1-2Session
Lecture
Lecture 4 Series, Convergence tests
2018.12.11(Tue.) 3-4Session
Lecture
Lecture 5 Limits and Continuity
2018.12.13(Thu.) 1-2Session
Lecture
Lecture 6 Intermediate value theorem, Inverse function theorem, Uniform continuity
2018.12.18(Tue.) 3-4Session
Lecture
Lecture 7 Mean value theorems
2018.12.20(Thu.) 1-2Session
Midterm Examination
Lecture 8 Mid term test
2018.12.26(Wed.) 1-2Session
Lecture
Lecture 9 Taylor's Theorem and applications
2019.1.8(Tue.) 3-4Session
Lecture
Lecture 10 Integrals
2019.1.10(Thu.) 1-2Session
Lecture
Lecture 11 Topology of Euclidean spaces, Functions of several variables
2019.1.15(Tue.) 3-4Session
Lecture
Lecture 12 Differentiation in R^m
2019.1.17(Thu.) 1-2Session
Lecture
Lecture 13 Differentiation in R^m - Continued
2019.1.22(Tue.) 3-4Session
Lecture
Lecture 14 Sequence of functions, continuous and differentiable limit theorems
2019.1.29(Tue.) 1-2Session
Lecture
Lecture 15 Series of functions, Power series, Taylor series
2019.1.31(Thu.) 3-4Session
End of Term Examination
Lecture 16 Final exam
2019.2.7(Thu.) 1-2Session
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