HB375000 Mathematics for Modeling and Simulation

Hiroshima University Syllabus

Japanese

Academic Year 2026Year School/Graduate School School of Science

Lecture Code HB375000 Subject Classification Specialized Education

Subject Name 現象数理

Subject Name
（Katakana）ゲンショウスウリ

Subject Name in
English Mathematics for Modeling and Simulation

Instructor ICHIKAWA MASATOSHI,IIMA MAKOTO,FUJII MASASHI,FUJIMOTO KOICHI,AWAZU AKINORI

Instructor
(Katakana) イチカワ　マサトシ,イイマ　マコト,フジイ　マサシ,フジモト　コウイチ,アワヅ　アキノリ

Campus Higashi-Hiroshima Semester/Term 3rd-Year, Second Semester, 4Term

Days, Periods, and Classrooms (4T) Tues9-10,Weds5-6：SCI E208

Lesson Style Lecture Lesson Style
(More Details) Face-to-face

Lecture

Credits 2.0 Class Hours/Week 4 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 biological processes, nonlinear and non-equilibrium phenomena, self-propelled motions and collective dynamics, dynamical systems and chaos, fluid dynamics, aerodynamics

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 We will learn mathematical methods for understanding dynamical phenomena and the underlying mechanisms that appear in a wide range of natural systems, including biological processes, chemical reactions, crowd motion, insect aerodynamics, and swimming of microorganisms. The course consists of a foundational part, which covers basic modeling approaches and essential mathematical treatments, and an applied part, which introduces diverse targets and a variety of modeling methodologies.

Class Schedule We plan to cover the following topics (in no particular order)

1. Mathematical theory of random walks
2. Mathematical application of pattern formation in reaction–diffusion systems
3. Oscillators and the complex Ginzburg–Landau equation
4. Mathematical theory of self-propelled motion
5. Mathematical theory of collective motion
6. Theory for Dynamical systems (continuous and discrete)
7. Mathematics of chaos
8. Vortex dynamics and the mathematical applications of flight and swimming
9. Mathematical theory of convection
10. Practical case studies in mathematical modeling (1)
11. Practical case studies in mathematical modeling (2)
12. Practical case studies in mathematical modeling (3)
13. Practical case studies in mathematical modeling (4)
14. Practical case studies in mathematical modeling (5)
15. Practical case studies in mathematical modeling (6)

Please note that the order and/or content may be modified depending on the pace of the course and other circumstances.

Several short reports, the final report

The contents may be changed depending on the progress of the class.

Text/Reference
Books,etc. No specific textbook is required for preparation. Guidance will be provided during the lecture as needed

PC or AV used in
Class,etc.

(More Details)

Learning techniques to be incorporated

Suggestions on
Preparation and
Review Review and prepare as necessary.

Requirements

Grading Method Evaluation will be based on short reports and the final report.

Practical Experience

Summary of Practical Experience and Class Contents based on it

Message

Other Students from other grades and departments are also welcome to attend.

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.

Academic Year	2026Year	School/Graduate School	School of Science
Lecture Code	HB375000	Subject Classification	Specialized Education
Subject Name	現象数理
Subject Name （Katakana）	ゲンショウスウリ
Subject Name in English	Mathematics for Modeling and Simulation
Instructor	ICHIKAWA MASATOSHI,IIMA MAKOTO,FUJII MASASHI,FUJIMOTO KOICHI,AWAZU AKINORI
Instructor (Katakana)	イチカワ　マサトシ,イイマ　マコト,フジイ　マサシ,フジモト　コウイチ,アワヅ　アキノリ
Campus	Higashi-Hiroshima	Semester/Term	3rd-Year, Second Semester, 4Term
Days, Periods, and Classrooms	(4T) Tues9-10,Weds5-6：SCI E208
Lesson Style	Lecture	Lesson Style (More Details)	Face-to-face
Lecture
Credits	2.0	Class Hours/Week	4	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	biological processes, nonlinear and non-equilibrium phenomena, self-propelled motions and collective dynamics, dynamical systems and chaos, fluid dynamics, aerodynamics
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	We will learn mathematical methods for understanding dynamical phenomena and the underlying mechanisms that appear in a wide range of natural systems, including biological processes, chemical reactions, crowd motion, insect aerodynamics, and swimming of microorganisms. The course consists of a foundational part, which covers basic modeling approaches and essential mathematical treatments, and an applied part, which introduces diverse targets and a variety of modeling methodologies.
Class Schedule	We plan to cover the following topics (in no particular order) 1. Mathematical theory of random walks 2. Mathematical application of pattern formation in reaction–diffusion systems 3. Oscillators and the complex Ginzburg–Landau equation 4. Mathematical theory of self-propelled motion 5. Mathematical theory of collective motion 6. Theory for Dynamical systems (continuous and discrete) 7. Mathematics of chaos 8. Vortex dynamics and the mathematical applications of flight and swimming 9. Mathematical theory of convection 10. Practical case studies in mathematical modeling (1) 11. Practical case studies in mathematical modeling (2) 12. Practical case studies in mathematical modeling (3) 13. Practical case studies in mathematical modeling (4) 14. Practical case studies in mathematical modeling (5) 15. Practical case studies in mathematical modeling (6) Please note that the order and/or content may be modified depending on the pace of the course and other circumstances. Several short reports, the final report The contents may be changed depending on the progress of the class.
Text/Reference Books,etc.	No specific textbook is required for preparation. Guidance will be provided during the lecture as needed
PC or AV used in Class,etc.
(More Details)
Learning techniques to be incorporated
Suggestions on Preparation and Review	Review and prepare as necessary.
Requirements
Grading Method	Evaluation will be based on short reports and the final report.
Practical Experience
Summary of Practical Experience and Class Contents based on it
Message
Other	Students from other grades and departments are also welcome to attend.
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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