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- Academic unit or major
- Graduate major in Mathematics
- Instructor(s)
- Yanagida Eiji
- Class Format
- Lecture
- Media-enhanced courses
- Day/Period(Room No.)
- Fri3-4()
- Group
- -
- Course number
- MTH.C408
- Credits
- 1
- Academic year
- 2021
- Offered quarter
- 4Q
- Syllabus updated
- 2021/3/19
- Lecture notes updated
- -
- Language used
- English
- Access Index
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Course description and aims
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.
Student learning outcomes
Understanding of the basic theory of reaction-diffusion systems
Keywords
reaction-diffusion systems, steady states, stability, dynamics
Competencies that will be developed
| ✔ Specialist skills | Intercultural skills | Communication skills | Critical thinking skills | Practical and/or problem-solving skills |
Class flow
Standard lecture course
Course schedule/Required learning
| Course schedule | Required learning | |
|---|---|---|
| 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 |
Out-of-Class Study Time (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
Assessment criteria and methods
Assignments (100%).
Related courses
- MTH.C407 ： Advanced topics in Analysis C1
Prerequisites (i.e., required knowledge, skills, courses, etc.)
Advanced topics in analysis C1.
