2021 Advanced courses in Analysis D

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Academic unit or major
Mathematics
Instructor(s)
Yanagida Eiji 
Course component(s)
Lecture    (ZOOM)
Day/Period(Room No.)
Fri3-4(H118)  
Group
-
Course number
ZUA.C334
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 is following Advanced courses in Analysis C.

Student learning outcomes

Understanding of the basic theory of reaction-diffusion systems

Keywords

reaction-diffusion systems, 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

This is a 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

Report (100%)

Related courses

  • MTH.C407 : Advanced topics in Analysis C1

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

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