2024 Faculty Courses School of Computing Undergraduate major in Computer Science
System Analysis
- Academic unit or major
- Undergraduate major in Computer Science
- Instructor(s)
- Masakazu Sekijima
- Class Format
- Lecture (Face-to-face)
- Media-enhanced courses
- -
- Day of week/Period
(Classrooms) - 7-8 Mon / 7-8 Thu
- Class
- -
- Course Code
- CSC.T351
- Number of credits
- 200
- Course offered
- 2024
- Offered quarter
- 2Q
- Syllabus updated
- Mar 14, 2025
- Language
- Japanese
Syllabus
Course overview and goals
This lecture covers the basic mathematical knowledge required for analyzing dynamical systems.
First, the complex function theory is introduced as preparation to the frequency-domain analysis.
Next, Fourier expansion, Fourier transform and Laplace transform are explained.
Course description and aims
The aim of this lecture to make students acquire the basic mathematical knowledge required in four courses related to dynamical systems in this department. At the end of this course, students will acquire mathematical skills for analyzing dynamical systems through studying Fourier expansion, Fourier transform and Laplace transform.
Keywords
Complex function theory, Frequency domain, Fourier expansion, Fourier transform, Laplace transform
Competencies
- Specialist skills
- Intercultural skills
- Communication skills
- Critical thinking skills
- Practical and/or problem-solving skills
Class flow
Students are given exercise problems.
Course schedule/Objectives
| Course schedule | Objectives | |
|---|---|---|
| Class 1 | Complex function theory (1) | Properties of complex number and complex function 1 |
| Class 2 | Complex function theory (2) | Properties of complex number and complex function 2 |
| Class 3 | Complex function theory (3) | Derivatives of complex functions |
| Class 4 | Complex function theory (4) | Integrals of complex functions 1 |
| Class 5 | Complex function theory (5) | Integrals of complex functions 2 |
| Class 6 | Complex function theory (6) | Series expansions of complex functions |
| Class 7 | Fourier expansion (1) | Introduction |
| Class 8 | Fourier expansion (2) | Properties and Examples |
| Class 9 | Fourier transform (1) | Introduction |
| Class 10 | Fourier transform (2) | Properties and Examples 1 |
| Class 11 | Fourier transform (3) | Properties and Examples 2 |
| Class 12 | Laplace transform (1) | Introduction |
| Class 13 | Laplace transform (2) | Properties and Examples 1 |
| Class 14 | Laplace transform (3) | Properties and Examples 2 |
Study advice (preparation and review)
To enhance effective learning, students are encouraged to spend approximately 100 minutes preparing for class and another 100 minutes reviewing class content afterwards (including assignments) for each class.
They should do so by referring to textbooks and other course material.
Textbook(s)
Hiroshi, Usui. Foundation of Applied analysis- Complex function theory・Fourier analysis・Laplace transform. Coronasha. ISBN-10: 4339060666
Yo, Kenro. Foundation of Fourier analysis and Laplace transform for system analysis. Coronasha. ISBN-10: 433906095X
Reference books, course materials, etc.
All materials used in class can be found on T2SCHOLA.
Evaluation methods and criteria
Students’ course scores are based on reports (50%) and exams (50%).
Related courses
- CSC.T373 ： Dynamical Systems
- CSC.T374 ： Control Systems
- CSC.T362 ： Numerical Analysis
- CSC.T342 ： Problem Solving and Decision Making
- CSC.T365 Time Series Modeling
Prerequisites
It is desirable that students has completed CSC.T362: Numerical Analysis.