The purpose is to learn how to handle complex numbers and their functions, the concept of frequency, and the theory of linear systems necessary for analyzing these systems, which are important in the study of engineering.
To learn the basics of linear algebra, the function of complex numbers, Fourier transform, Laplace transform, z-transform, theory to model systems and to understand linear circuits and the basis of control theory.
Determinant, eigenvalue, eigenvector, function of complex numbers, Cauchy-Riemann equations, Taylor series, Laurant series, pole, Fourier expansion, Fourier transform, Laplace transform, discrete time Fourier transform, discrete Fourier transform, z-transform, continuous time system, discrete time system, controllability, observability, and stability.
✔ Specialist skills | Intercultural skills | Communication skills | Critical thinking skills | Practical and/or problem-solving skills |
Lecture and Practice.
Course schedule | Required learning | |
---|---|---|
Class 1 | Determinant | To understand how to calculate the determinant |
Class 2 | Eigenvalue, eigenvector | To understand the calculation using eigenvalue and eigenvector. |
Class 3 | Function of complex numbers, series, derivative | To understand the calculation using the function of complex numbers. |
Class 4 | Domain, regular, Cauchy-Riemann equations | To understand the calculation using the domain, regular, and the Cauchy-Riemann equations. |
Class 5 | Contour integration, Cauchy's integral expression | To understand the calculation using the contour integration and Cauchy's integral expression. |
Class 6 | Taylor series, Laurent series, pole, singular point, Residue theorem | To understand the calculation using the Taylor series, Laurent series, pole, singular point, and residue theorem. |
Class 7 | Fourier expansion | To understand how to calculate the Fourier expansion. |
Class 8 | Fourier transform | To understand how to calculate the Fourier transform. |
Class 9 | Laplace transform | To understand how to calculate the Laplace transform. |
Class 10 | Inverse Laplace transform | To understand how to calculate the inverse Laplace transform. |
Class 11 | Modelling of continuous-time system | To understand how to model the continuous-time system. |
Class 12 | Analysis of continuous-time system | To understand how to analyze the continuous-time system. |
Class 13 | Feedback control | To understand how to calculate the feedback control. |
Class 14 | Controllability, observability, and stability. | To understand how to check controllability, observability, and stability. |
Students are encouraged to spend approximately 200 minutes for preparation and reviewing class content afterward (including assignments) for each week to enhance effective learning.
山下幸彦「線形システム論」朝倉書店, 2013.
Hwei P. Hsu, "Signals and Systems"
Evaluated based on the weekly reports and the face-to-face final examination.
None in particular
The syllabus will be changed as needed.