Course title
線形システム   [Linear Systems]
Course category technology speciality courses  Requirement   Credit 2 
Department   Year 24  Semester 1st 
Course type 1st  Course code 022658
Instructor(s)
田中 聡久   [TANAKA Toshihisa]
Facility affiliation Faculty of Engineering Office afjgxte/L1151  Email address

Course description
The purpose of this course 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.
Expected Learning
To learn the basics of linear algebra, the function of complex numbers, Fourier transform, Laplace transform, theory to model systems and to understand linear circuits and the basis of control theory.
Course schedule
1. Basics of Fourier series
2. Characterictics of Fourier series
3. Complex Fourier series
4. Fundamentals of Fourier transforms
5. Characterictics of Fourier transforms
6. Fourier transforms and linear systems
7. Sampling theory
8. Mid-term examination
9. Discrete Fourier transforms
10. Fast Fourier transforms
11. Fundamentals of Laplace transforms
12. Characteristics of Laplace transforms
13. Applications of Laplace transforms to ordinary differential equations
14. Laplace transforms and linear systems
15. Summary
Finals
Prerequisites
Linear Algebra Ⅰ and II, Differential Equation, Calculus Ⅰ and II
Required Text(s) and Materials
水本哲也「フーリエ級数・変換 / ラプラス変換」オーム社、2010
References
N/A
Assessment/Grading
Mid-term exam (30%) and finals (70%)
Message from instructor(s)
Course keywords
Office hours
Email to the instructor.
Remarks 1
Remarks 2
Related URL
Lecture Language
Japanese
Language Subject
Last update
3/4/2020 5:44:19 PM