Hiroshima University Syllabus

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Japanese
Academic Year 2024Year School/Graduate School School of Science
Lecture Code HB315000 Subject Classification Specialized Education
Subject Name 複雑系数理
Subject Name
(Katakana)
フクザツケイスウリ
Subject Name in
English
Theory of Complex Systems
Instructor SAITO NEN,HONDA NAOKI
Instructor
(Katakana)
サイトウ ネン,ホンダ ナオキ
Campus Higashi-Hiroshima Semester/Term 4th-Year,  First Semester,  2Term
Days, Periods, and Classrooms (2T) Tues1-4:SCI A017
Lesson Style Lecture Lesson Style
(More Details)
 
lecture 
Credits 2.0 Class Hours/Week   Language of Instruction J : Japanese
Course Level 4 : Undergraduate Advanced
Course Area(Area) 25 : Science and Technology
Course Area(Discipline) 01 : Mathematics/Statistics
Eligible Students
Keywords partial differential equation, reaction-diffusion equation, stochastic process 
Special Subject for Teacher Education   Special Subject  
Class Status
within Educational
Program
(Applicable only to targeted subjects for undergraduate students)
 
Criterion referenced
Evaluation
(Applicable only to targeted subjects for undergraduate students)
Mathematics
(Knowledge and Understanding)
・Acquiring knowledge and vision on advanced theories as an extension of core theory of modern mathematics.
(Abilities and Skills)
・To learn basic knowledge, skills, and attitudes related to information. Based on them, to be able to process, output and input information, as well as to utilize information appropriately. 
Class Objectives
/Class Outline
The lecture will provide an overview of spatio-temporal modeling methods, focusing on modeling by partial differential equations, as a method for describing complex systems such as life and natural phenomena.
 
Class Schedule lesson1 Introduction
lesson2 modeling by ordinary differential equation 1
lesson3 modeling by ordinary differential equation 2
lesson4 modeling by ordinary differential equation 3
lesson5 stochastic process and partial differential equation 1 (diffusion equation)
lesson6 stochastic process and partial differential equation 2 (Fokker-Planck equation)
lesson7 stochastic process and partial differential equation 3 (examples and applications)
lesson8 stochastic process and partial differential equation 4 (examples and applications)
lesson9 reaction-diffusion equation 1 (wave propagation)
lesson10 reaction-diffusion equation 2 (Turing pattern)
lesson11 reaction-diffusion equation 3 (examples and applications)
lesson12 reaction-diffusion equation 4 (examples and applications)
lesson13  extension and prospects 1
lesson14  extension and prospects 2
lesson15  extension and prospects 3
 
Text/Reference
Books,etc.
To be introduced in the lecture 
PC or AV used in
Class,etc.
 
(More Details)  
Learning techniques to be incorporated  
Suggestions on
Preparation and
Review
none 
Requirements  
Grading Method homework assignments 
Practical Experience  
Summary of Practical Experience and Class Contents based on it  
Message  
Other   
Please fill in the class improvement questionnaire which is carried out on all classes.
Instructors will reflect on your feedback and utilize the information for improving their teaching. 
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