2021 Advanced topics in Analysis D1

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Academic unit or major
Graduate major in Mathematics
Instructor(s)
Yanagida Eiji 
Course component(s)
Lecture    (ZOOM)
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
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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.

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