HB206000 Mathematics for Computation B

Hiroshima University Syllabus

Japanese

Academic Year 2025Year 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) Weds7-10

Lesson Style Lecture Lesson Style
(More Details) Face-to-face, 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 3 : Undergraduate High-Intermediate

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, Laplace transform, transfer function, block diagram, optimal regulator, feedback control, pole placement method

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 control theory.
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 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, 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  About the Laplace Transform
lesson6  Describing Engineering Systems.
lesson7   Controlling Engineering Systems.
Lesson 8: Review of matrices and linear operators (finite dimensions) I
Eigenvalues and eigenvectors
Lesson 9: Review of matrices and linear operators (finite dimensions) II
Eigenvalues and response, mode expansion
Lesson 10: Review of matrices and linear operators (finite dimensions) III
Coordinate transformation and standard form, block diagram
Lesson 11: Classical control theory I
Controllability and observability
Lesson 12: Classical control theory II
Pole placement method
Lesson 13: Classical control theory III
Optimal regulator
Lesson 14: Classical control theory IV
Folding method
Lesson 15: PID control

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

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 will be held primarily in the main Media Center building.

Lectures: Media Center 2nd floor, Seminar Room 3

Practice: Media Center 2nd floor, Computer Room, back 36 computers

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	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) Weds7-10
Lesson Style	Lecture	Lesson Style (More Details)	Face-to-face, 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	3 : Undergraduate High-Intermediate
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, Laplace transform, transfer function, block diagram, optimal regulator, feedback control, pole placement method
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 control theory.
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	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, 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 About the Laplace Transform lesson6 Describing Engineering Systems. lesson7 Controlling Engineering Systems. Lesson 8: Review of matrices and linear operators (finite dimensions) I Eigenvalues and eigenvectors Lesson 9: Review of matrices and linear operators (finite dimensions) II Eigenvalues and response, mode expansion Lesson 10: Review of matrices and linear operators (finite dimensions) III Coordinate transformation and standard form, block diagram Lesson 11: Classical control theory I Controllability and observability Lesson 12: Classical control theory II Pole placement method Lesson 13: Classical control theory III Optimal regulator Lesson 14: Classical control theory IV Folding method Lesson 15: PID control 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
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 will be held primarily in the main Media Center building. Lectures: Media Center 2nd floor, Seminar Room 3 Practice: Media Center 2nd floor, Computer Room, back 36 computers 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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