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- Liberal arts and basic science courses
- 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.C407
- Credits
- 1
- Academic year
- 2021
- Offered quarter
- 3Q
- 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 scalar reaction-diffusion equations.
This course is followed by Advanced courses in Analysis D1.
Student learning outcomes
Understanding of the basic theory of reaction-diffusion equations
Keywords
reaction-diffusion equations, stability, steady states, dynamics
Competencies that will be developed
| ✔ Specialist skills | Intercultural skills | Communication skills | Critical thinking skills | Practical and/or problem-solving skills |
Class flow
Standard course
Course schedule/Required learning
| Course schedule | Required learning | |
|---|---|---|
| Class 1 | Reaction-diffusion models | Details will be provided during each class session |
| Class 2 | Characteristic solutions for reaction-diffusion equations | Details will be provided during each class session |
| Class 3 | Fundamental properties of scaler reaction-diffusion equtions | Details will be provided during each class session |
| Class 4 | Scalar reaction-diffusion equations on bounded domains | Details will be provided during each class session |
| Class 5 | Scalar reaction-diffusion equations on intervals | Details will be provided during each class session |
| Class 6 | Fujita equation | Details will be provided during each class session |
| Class 7 | Fisher equation | Details will be provided during each class session |
| Class 8 | Nagumo 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.C408 ： Advanced topics in Analysis D1
Prerequisites (i.e., required knowledge, skills, courses, etc.)
Not required
Contact information (e-mail and phone) Notice : Please replace from "[at]" to "@"(half-width character).
yanagida[at]math.titech.ac.jp
