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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
- Undergraduate major in Electrical and Electronic Engineering
- Instructor(s)
- Watanabe Masahiro Akatsuka Hiroshi
- Class Format
- Lecture
- Media-enhanced courses
- Day/Period(Room No.)
- Mon1-2(S221) Thr1-2(S221)
- Group
- -
- Course number
- EEE.M201
- Credits
- 2
- Academic year
- 2018
- Offered quarter
- 1Q
- Syllabus updated
- 2018/4/3
- Lecture notes updated
- 2018/6/6
- Language used
- Japanese
- Access Index
-
Lecture
Lecture 1 Complex number, complex plane, polar expression, De Moivre's formula, n-th root, the complex plane figure
講義スライド(1094KB)
Lecture
Lecture 2 Complex function, mapping, linear transformation, exponential, trigonometric, hyperbolic, logarithmic, and power functions
Lecture
Lecture 3 Differential, regularity, Cauchy-Riemann equations, harmonic function, the complex potential
Lecture
Lecture 4 Line integral, integral formula, the integration path, parametric expression of the integration path, complex line integration, integration of integer power function
Lecture
Lecture 5 Cauchy's integral theorem, change of the path of integration, Cauchy's integral formula, the derivative
Lecture
Lecture 6 Series, radius of convergence, Taylor expansion, power series expression, Laurent expansion, singularity
Lecture
Lecture 7 Residue, how to obtain a residue, residue theorem, the definite integral of trigonometric functions and rational functions, the principal value of integration, etc.
Lecture
Lecture 8 Confirmation of understanding of contents of the lectures up to this week and commentary
Lecture
Lecture 9 Basic matters of differential equations and differential equations with separation of variables and homogeneous differential equations.
Lecture
Lecture 10 First-order linear homogeneous equations, first-order linear non-homogeneous equations, and first-order exact ODFs.
Lecture
Lecture 11 Circuit analysis (LR, CR circuit), the structure of solutions of the second-order linear differential equations, and Second-order linear homogeneous differential equations with constant coefficients.
Lecture
Lecture 12 Second-order linear non-homogeneous equations and method of variation of parameters. Also, interim confirmation of understanding of contents of the lectures up to this week and commentary.
2018.5.21(Mon.) 1-2Session
Lecture
Lecture 13 Circuit analysis (LCR, RLC circuit), series expansion method
Lecture
Lecture 14 Simultaneous first-order linear ordinary differential equations with constant coefficients.
Lecture
Lecture 15 Prospects to partial differential equations
2018.5.31(Thu.) 1-2Session
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