WG115002 Mathematical Analysis A

Hiroshima University Syllabus

Japanese

Academic Year 2025Year School/Graduate School Graduate School of Integrated Sciences for Life (Master's Course) Division of Integrated Sciences for Life Program of Mathematical and Life Sciences

Lecture Code WG115002 Subject Classification Specialized Education

Subject Name 応用数理学Ａ

Subject Name
（Katakana）オウヨウスウリガクエー

Subject Name in
English Mathematical Analysis A

Instructor OHNISHI ISAMU

Instructor
(Katakana) オオニシ　イサム

Campus Higashi-Hiroshima Semester/Term 1st-Year,  First Semester,  2Term

Days, Periods, and Classrooms (2T) Tues5-6,Fri5-6：Online

Lesson Style Lecture Lesson Style
(More Details) Face-to-face, Online (simultaneous interactive), Online (on-demand)

Mainly lectures, mainly exercises, heavy use of blackboard writing

Credits 2.0 Class Hours/Week 4 Language of Instruction J : Japanese

Course Level 6 : Graduate Advanced

Course Area（Area） 25 : Science and Technology

Course Area（Discipline） 01 : Mathematics/Statistics

Eligible Students 4th year mathematics department students

Keywords Classical control theory, PID control, block diagram, optimal regulator, feedback control, model based predictive control

Special Subject for Teacher Education 　 Special Subject 　

Class Status
within Educational
Program
(Applicable only to targeted subjects for undergraduate students) In order to learn, research and develop "at the intersection of control engineering and mathematical science," we will introduce basic mathematical science concepts, classical control theory, PID control, etc. to learn model based predictive control.
Criterion referenced
Evaluation
(Applicable only to targeted subjects for undergraduate students)

Class Objectives
/Class Outline In order to conduct research "at the intersection of mathematical science and control engineering," students will learn basic mathematical science concepts to study control theory, and will study classical control theory, PID control, model based predictive control etc. Also, during the first few lectures, students will be asked to create an account to use MATLAB and Simulink online, and as appropriate, they will be asked to actually code and execute the assignments using Simulink Online.

Class Schedule lesson1 Introduction I
MATLAB, Simulink Tutorial I
lesson2  Introduction II
MATLAB, Simulink Tutorial II
lesson3 Introduction III
MATLAB, Simulink Tutorial III
lesson4 Introduction IV
MATLAB, Simulink Tutorial IV
lesson5  At the intersection of control engineering and mathematical science
lesson6  Describing Engineering Systems.
lesson7  Controlling Engineering Systems.
Lesson 8: Review of classical control theory
Lesson 9: Review of PID control
Lesson 10: Model based predictive control I
Lesson 11: Model based predictive control II
Lesson 12: Model based predictive control III
Lesson 13: Model based predictive control IV
Lesson 14: Model based predictive control V
Lesson 15: Appendics: Matrices and linear operators

Attending Seminar :  35%
REPORTs : 65%


Text/Reference
Books,etc. In Japanese only, （Basic industrial Math., Control Theory, Applied Linear Algebra）

1. 新版フィードバック制御の基礎　片山徹　著　（朝倉書店）
2. 工学部で学ぶ数学　千葉逸人　著　　（プレアデス）
3. 線型代数と固有値問題 --スペクトル分解を中心に--  笠原晧司  著
4. Predictive control with constraints  J. M. Maciejowski 著　（Pearson educational L.t.d. inc.）
5. 基礎自動制御　相良節夫著　（森北出版）

PC or AV used in
Class,etc. Text, Handouts

(More Details)

Learning techniques to be incorporated Discussions, Quizzes/ Quiz format, Post-class Report

Suggestions on
Preparation and
Review I will give some concrete examples, including some that are related to engineering, so I would like you to not only understand the theory, but also code it using Simulink and take a look at the actual control.

Requirements This course is basically scheduled to be on-demand, but the tutorials for MATLAB and SIMULINK will be held in person at the main Media Center:

Location: 36 computers in the back of the computer room on the second floor of the Media Center

I would like you to gather here at least a few times from the first class (the first class for 2T! I think it will be in June???).

In addition, please always refer to the "Momiji bulletin board" and "Moodle page" for this course.

Grading Method The overall assessment, including lecture attendance, will be based on 35%

Report assignment submission: 65%

The evaluation will be based on the following ratios.

Practical Experience

Summary of Practical Experience and Class Contents based on it

Message Control theory uses many of the basic mathematical and scientific techniques and concepts that students learn in their second year of mathematics, and at the same time, it is related to actual things that are useful in real life, such as automatic driving control of automobiles in engineering, so it is important to be able to strike a balance between "being able to theoretically understand the theory and explain it in a logical manner" and "being able to simulate the behavior of specific solutions and the actual control."

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.

Academic Year	2025Year	School/Graduate School	Graduate School of Integrated Sciences for Life (Master's Course) Division of Integrated Sciences for Life Program of Mathematical and Life Sciences
Lecture Code	WG115002	Subject Classification	Specialized Education
Subject Name	応用数理学Ａ
Subject Name （Katakana）	オウヨウスウリガクエー
Subject Name in English	Mathematical Analysis A
Instructor	OHNISHI ISAMU
Instructor (Katakana)	オオニシ　イサム
Campus	Higashi-Hiroshima	Semester/Term	1st-Year, First Semester, 2Term
Days, Periods, and Classrooms	(2T) Tues5-6,Fri5-6：Online
Lesson Style	Lecture	Lesson Style (More Details)	Face-to-face, Online (simultaneous interactive), Online (on-demand)
Mainly lectures, mainly exercises, heavy use of blackboard writing
Credits	2.0	Class Hours/Week	4	Language of Instruction	J : Japanese
Course Level	6 : Graduate Advanced
Course Area（Area）	25 : Science and Technology
Course Area（Discipline）	01 : Mathematics/Statistics
Eligible Students	4th year mathematics department students
Keywords	Classical control theory, PID control, block diagram, optimal regulator, feedback control, model based predictive control
Special Subject for Teacher Education		Special Subject
Class Status within Educational Program (Applicable only to targeted subjects for undergraduate students)	In order to learn, research and develop "at the intersection of control engineering and mathematical science," we will introduce basic mathematical science concepts, classical control theory, PID control, etc. to learn model based predictive control.
Criterion referenced Evaluation (Applicable only to targeted subjects for undergraduate students)
Class Objectives /Class Outline	In order to conduct research "at the intersection of mathematical science and control engineering," students will learn basic mathematical science concepts to study control theory, and will study classical control theory, PID control, model based predictive control etc. Also, during the first few lectures, students will be asked to create an account to use MATLAB and Simulink online, and as appropriate, they will be asked to actually code and execute the assignments using Simulink Online.
Class Schedule	lesson1 Introduction I MATLAB, Simulink Tutorial I lesson2 Introduction II MATLAB, Simulink Tutorial II lesson3 Introduction III MATLAB, Simulink Tutorial III lesson4 Introduction IV MATLAB, Simulink Tutorial IV lesson5 At the intersection of control engineering and mathematical science lesson6 Describing Engineering Systems. lesson7 Controlling Engineering Systems. Lesson 8: Review of classical control theory Lesson 9: Review of PID control Lesson 10: Model based predictive control I Lesson 11: Model based predictive control II Lesson 12: Model based predictive control III Lesson 13: Model based predictive control IV Lesson 14: Model based predictive control V Lesson 15: Appendics: Matrices and linear operators Attending Seminar : 35% REPORTs : 65%
Text/Reference Books,etc.	In Japanese only, （Basic industrial Math., Control Theory, Applied Linear Algebra） 1. 新版フィードバック制御の基礎　片山徹　著　（朝倉書店） 2. 工学部で学ぶ数学　千葉逸人　著　　（プレアデス） 3. 線型代数と固有値問題 --スペクトル分解を中心に-- 笠原晧司著 4. Predictive control with constraints J. M. Maciejowski 著　（Pearson educational L.t.d. inc.） 5. 基礎自動制御　相良節夫著　（森北出版）
PC or AV used in Class,etc.	Text, Handouts
(More Details)
Learning techniques to be incorporated	Discussions, Quizzes/ Quiz format, Post-class Report
Suggestions on Preparation and Review	I will give some concrete examples, including some that are related to engineering, so I would like you to not only understand the theory, but also code it using Simulink and take a look at the actual control.
Requirements	This course is basically scheduled to be on-demand, but the tutorials for MATLAB and SIMULINK will be held in person at the main Media Center: Location: 36 computers in the back of the computer room on the second floor of the Media Center I would like you to gather here at least a few times from the first class (the first class for 2T! I think it will be in June???). In addition, please always refer to the "Momiji bulletin board" and "Moodle page" for this course.
Grading Method	The overall assessment, including lecture attendance, will be based on 35% Report assignment submission: 65% The evaluation will be based on the following ratios.
Practical Experience
Summary of Practical Experience and Class Contents based on it
Message	Control theory uses many of the basic mathematical and scientific techniques and concepts that students learn in their second year of mathematics, and at the same time, it is related to actual things that are useful in real life, such as automatic driving control of automobiles in engineering, so it is important to be able to strike a balance between "being able to theoretically understand the theory and explain it in a logical manner" and "being able to simulate the behavior of specific solutions and the actual control."
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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