2021 Faculty Courses School of Science Department of Mathematics Graduate major in Mathematics
Advanced topics in Analysis D1
- Academic unit or major
- Graduate major in Mathematics
- Instructor(s)
- Eiji Yanagida
- Class Format
- Lecture
- Media-enhanced courses
- -
- Day of week/Period
(Classrooms) - 3-4 Fri
- Class
- -
- Course Code
- MTH.C408
- Number of credits
- 100
- Course offered
- 2021
- Offered quarter
- 4Q
- Syllabus updated
- Jul 10, 2025
- Language
- English
Syllabus
Course overview and goals
The main subject of this course is the theory of reaction-diffusion equations.
We learn some systems of reaction-diffusion equations.
This course follows Advanced courses in Analysis C1.
Course description and aims
Understanding of the basic theory of reaction-diffusion systems
Keywords
reaction-diffusion systems, steady states, stability, dynamics
Competencies
- Specialist skills
- Intercultural skills
- Communication skills
- Critical thinking skills
- Practical and/or problem-solving skills
Class flow
Standard lecture course
Course schedule/Objectives
| Course schedule | Objectives | |
|---|---|---|
| Class 1 | Order-preserving properties of reaction-diffusion systems | Details will be provided during each class session |
| Class 2 | Reduction of domains | Details will be provided during each class session |
| Class 3 | Diffusion-induced instability | Details will be provided during each class session |
| Class 4 | Gradient and skew-gradient systems | Details will be provided during each class session |
| Class 5 | Lotka-Volterra equation | Details will be provided during each class session |
| Class 6 | FitzHugh-Nagumo equation | Details will be provided during each class session |
| Class 7 | Gierer-Meinhardt equation | Details will be provided during each class session |
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)
none
Reference books, course materials, etc.
Reaction-diffusion equations, Eiji Yanagida, University of Tokyo Press
Evaluation methods and criteria
Assignments (100%).
Related courses
- MTH.C407 ： Advanced topics in Analysis C1
Prerequisites
Advanced topics in analysis C1.