2021 Advanced topics in Analysis C1

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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.C407
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, 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

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