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- Academic unit or major
- Mathematics
- Instructor(s)
- Yanagida Eiji
- Class Format
- Lecture
- Media-enhanced courses
- Day/Period(Room No.)
- Fri3-4(H137)
- Group
- -
- Course number
- ZUA.C333
- Credits
- 1
- Academic year
- 2018
- Offered quarter
- 3Q
- Syllabus updated
- 2018/3/20
- Lecture notes updated
- -
- Language used
- Japanese
- Access Index
-
Course description and aims
Reaction-diffusion equations are partial differential equations which mathematically describe the process of time evolution of spatial patterns, and are introduced as mathematical models for various phenomena in Biology, Physics, Chemistry, Population genetics and Neurophysiology. This course is intended to provide a fundamental mathematical theory for the equations. This course will be followed by "Advanced courses in Analysis D".
Student learning outcomes
By the end of this course, students will be able to:
1) understand the properties of reaction-diffusion equations,
2) learn the method of analyzing the behavior of solutions.
Keywords
Reaction-diffusion equation, spatial pattern, stability
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 | Reaction-diffusion models | Details will be provided during each class session. |
| Class 2 | Various types of special solutions | Details will be provided during each class session. |
| Class 3 | Properties of scalar reaction-diffusion equations | Details will be provided during each class session. |
| Class 4 | Scalar reaction-diffusion equation on a bounded domain | Details will be provided during each class session. |
| Class 5 | Scalar reaction-diffusion equation on a bounded interval | 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. |
Textbook(s)
None
Reference books, course materials, etc.
Eiji Yanagida, Reaction-diffusion equations, University of Tokyo Press
Assessment criteria and methods
Repots (100%).
Related courses
- MTH.C341 ： Differential Equations I
- MTH.C342 ： Differential Equations II
- ZUA.C334 ： Advanced courses in Analysis D
Prerequisites (i.e., required knowledge, skills, courses, etc.)
Students are expected to have passed MTH.C341: Differential Equations I and MTH.C342: Differential Equations II.
Contact information (e-mail and phone) Notice : Please replace from "[at]" to "@"(half-width character).
yanagida[at]math.titech.ac.jp
