2021 Advanced courses in Analysis C

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Academic unit or major
Mathematics
Instructor(s)
Yanagida Eiji 
Course component(s)
Lecture    (ZOOM)
Day/Period(Room No.)
Fri3-4(H137)  
Group
-
Course number
ZUA.C333
Credits
1
Academic year
2021
Offered quarter
3Q
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 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, 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

This is a 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 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.

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.

Textbook(s)

Not required

Reference books, course materials, etc.

Reaction-diffusion equations, Eiji Yanagida, University of Tokyo Press

Assessment criteria and methods

Report (100%)

Related courses

  • ZUA.C334 : Advanced courses in Analysis D

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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