HB206000 Mathematics for Computation B

Hiroshima University Syllabus

Japanese

Academic Year 2024Year School/Graduate School School of Science

Lecture Code HB206000 Subject Classification Specialized Education

Subject Name 計算数理Ｂ

Subject Name
（Katakana）ケイサンスウリB

Subject Name in
English Mathematics for Computation B

Instructor OHNISHI ISAMU

Instructor
(Katakana) オオニシ　イサム

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

Days, Periods, and Classrooms (3T) Weds5-8：SCI A004

Lesson Style Lecture Lesson Style
(More Details) 　

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 Students interested in prospects for both mathematically Scientific applications and its foundations for control engineering.

Keywords nonlinear mathematical science for life organization,
mathematically scientific theoretical deterministic control theory,
research for nonlinearity

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 Our labo's slogan is “To control it, we must first understand this”. My labo works for
nonlinear pure mathematical science, especially within such subjects, my specialty
is nonlinear mathemtical science related to biological activities of both plants' and cyanobacteria's  biological activity. We use a system of nonlinear partial differential
equations to create a dynamical system in which interesting dynamics occur due to
nonlinear effects, also using the perspective of finite-dimensional and infinite-
dimensional dynamical systems.
Furthermore, our labo will deal with the mathematically scientifical theoretical deterministic
control theory.  Actually. by applying it to concrete control problems (especially concrete
engineering control problems), we will study it from mathematically scientific point of view.

Class Schedule 1st

Control engineering intro (1)
2nd time

Control engineering intro (2)
3rd

Control engineering intro (3)
4th

Control engineering intro (4)
5th

Feedback control system and its stability (1)
6th

Feedback control system and its stability (2)
7th

Characteristics of feedback control system (1)
8th

Characteristics of feedback control system (2)
9th

Infinite dimensionality, nonlinear parabolic evolution equation theory, and variational inequalities (1)
10th

Infinite dimensionality, nonlinear parabolic evolution equation theory, and variational inequalities (2)
11th

Infinite dimensionality, nonlinear parabolic evolution equation theory, and variational inequalities (3)
12th

Infinite dimensionality, nonlinear parabolic evolution equation theory, and variational inequalities (4)
13th

Infinite dimensionality, nonlinear parabolic evolution equation theory, and variational inequalities (5)
14th

APPENDIX (1) Operator method and spectral decomposition theorem (1)
15th

APPENDIX (2) Analytical method for feedback control system

Text/Reference
Books,etc. In Japanese:

1. 新版フィードバック制御の基礎　片山徹著　 (朝倉書店)
2. 放物型発展方程式とその応用（上）（下）　八木厚志著　（岩波書店）
3. 線形代数を基礎とする応用数理入門　佐藤一宏著（サイエンス社）
4. 理工系のための微分積分 (I) (II)   山田義雄ら共著　（内田老鶴圃）
5. これならわかる工学部で学ぶ数学　千葉逸人著　（プレアデス出版）

InFrench:

６. Control optimal de systemes gouvernes par des equations aux dérivées partielle
(偏微分方程式と最適制御) J.L. Lions

In English：

7. Functional Analysis, Sobolev Spaces and Partial Differential Equations オンデマンド (ペーパーバック) H. Breziz

PC or AV used in
Class,etc. 　

(More Details)

Learning techniques to be incorporated 　

Suggestions on
Preparation and
Review Work hard with references.

Requirements

Grading Method Reports :  60%
Attending lecture: 30%
The others : 10%

Practical Experience

Summary of Practical Experience and Class Contents based on it

Message With prospects for both mathematically Scientific applications and its foundations for control engineering.

Other If student from foreign countries, then I can make lectures in English.

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	2024Year	School/Graduate School	School of Science
Lecture Code	HB206000	Subject Classification	Specialized Education
Subject Name	計算数理Ｂ
Subject Name （Katakana）	ケイサンスウリB
Subject Name in English	Mathematics for Computation B
Instructor	OHNISHI ISAMU
Instructor (Katakana)	オオニシ　イサム
Campus	Higashi-Hiroshima	Semester/Term	4th-Year, Second Semester, 3Term
Days, Periods, and Classrooms	(3T) Weds5-8：SCI A004
Lesson Style	Lecture	Lesson Style (More Details)

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	Students interested in prospects for both mathematically Scientific applications and its foundations for control engineering.
Keywords	nonlinear mathematical science for life organization, mathematically scientific theoretical deterministic control theory, research for nonlinearity
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	Our labo's slogan is “To control it, we must first understand this”. My labo works for nonlinear pure mathematical science, especially within such subjects, my specialty is nonlinear mathemtical science related to biological activities of both plants' and cyanobacteria's biological activity. We use a system of nonlinear partial differential equations to create a dynamical system in which interesting dynamics occur due to nonlinear effects, also using the perspective of finite-dimensional and infinite- dimensional dynamical systems. Furthermore, our labo will deal with the mathematically scientifical theoretical deterministic control theory. Actually. by applying it to concrete control problems (especially concrete engineering control problems), we will study it from mathematically scientific point of view.
Class Schedule	1st Control engineering intro (1) 2nd time Control engineering intro (2) 3rd Control engineering intro (3) 4th Control engineering intro (4) 5th Feedback control system and its stability (1) 6th Feedback control system and its stability (2) 7th Characteristics of feedback control system (1) 8th Characteristics of feedback control system (2) 9th Infinite dimensionality, nonlinear parabolic evolution equation theory, and variational inequalities (1) 10th Infinite dimensionality, nonlinear parabolic evolution equation theory, and variational inequalities (2) 11th Infinite dimensionality, nonlinear parabolic evolution equation theory, and variational inequalities (3) 12th Infinite dimensionality, nonlinear parabolic evolution equation theory, and variational inequalities (4) 13th Infinite dimensionality, nonlinear parabolic evolution equation theory, and variational inequalities (5) 14th APPENDIX (1) Operator method and spectral decomposition theorem (1) 15th APPENDIX (2) Analytical method for feedback control system
Text/Reference Books,etc.	In Japanese: 1. 新版フィードバック制御の基礎　片山徹著　 (朝倉書店) 2. 放物型発展方程式とその応用（上）（下）　八木厚志著　（岩波書店） 3. 線形代数を基礎とする応用数理入門　佐藤一宏著（サイエンス社） 4. 理工系のための微分積分 (I) (II) 山田義雄ら共著　（内田老鶴圃） 5. これならわかる工学部で学ぶ数学　千葉逸人著　（プレアデス出版） InFrench: ６. Control optimal de systemes gouvernes par des equations aux dérivées partielle (偏微分方程式と最適制御) J.L. Lions In English： 7. Functional Analysis, Sobolev Spaces and Partial Differential Equations オンデマンド (ペーパーバック) H. Breziz
PC or AV used in Class,etc.
(More Details)
Learning techniques to be incorporated
Suggestions on Preparation and Review	Work hard with references.
Requirements
Grading Method	Reports : 60% Attending lecture: 30% The others : 10%
Practical Experience
Summary of Practical Experience and Class Contents based on it
Message	With prospects for both mathematically Scientific applications and its foundations for control engineering.
Other	If student from foreign countries, then I can make lectures in English.
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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