ANM06001 Differential Equations

Hiroshima University Syllabus

Japanese

Academic Year 2024Year School/Graduate School School of Integrated Arts and Sciences Department of Integrated Arts and Sciences

Lecture Code ANM06001 Subject Classification Specialized Education

Subject Name 微分方程式

Subject Name
（Katakana）ビブンホウテイシキ

Subject Name in
English Differential Equations

Instructor KISHIBA SEIGO

Instructor
(Katakana) キシバ　セイゴ

Campus Higashi-Hiroshima Semester/Term 2nd-Year,  First Semester,  2Term

Days, Periods, and Classrooms (2T) Tues1-4：IAS C808

Lesson Style Lecture Lesson Style
(More Details) 　

Face-to face oral lecture.
Online on-demand teaching materials are also available.

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

Course Level 2 : Undergraduate Low-Intermediate

Course Area（Area） 25 : Science and Technology

Course Area（Discipline） 01 : Mathematics/Statistics

Eligible Students

Keywords ordinary differential equations

Special Subject for Teacher Education 　 Special Subject 　

Class Status
within Educational
Program
(Applicable only to targeted subjects for undergraduate students) Differential equations are important tools to handle models appear in natural field and/or social field.
Criterion referenced
Evaluation
(Applicable only to targeted subjects for undergraduate students) Integrated Arts and Sciences
（Knowledge and Understanding）
・Knowledge and understanding of the importance and characteristics of each discipline and basic theoretical framework.
（Abilities and Skills）
・The ability and skills to specify necessary theories and methods for consideration of issues.

Class Objectives
/Class Outline The aim of this course is to learn theory, techniques, and applications related to the differential equations.

Class Schedule Introduction / existence and uniqueness of solution of ODE
How to solve ODE / the method of quadrature
How to configure fundamental sets of solutions of ODE
initial value problems of constant coefficient linear differential equations
How to investigate behavior of ODE solution
boundary value problems of ODE  / Sturm-Liouville equation / Green function
Stability analysis / dynamical system / method of perturbation

post-class report every week / examination at the last of term

Some topics may be added/skipped according to the progress of the class.

Text/Reference
Books,etc. Eiji Yanagita, Shin-ichiro Ei, "Joubibunhouteishikiron", Asakura Publishing, Tokyo, 2002 (in Japanese)

PC or AV used in
Class,etc. 　

(More Details) PC may be used for graphics

Learning techniques to be incorporated 　

Suggestions on
Preparation and
Review Students should review/practice the knowledge of the lecture by themselves.

Requirements Students should understand the basics of the differential/integral calculus and the linear algebra.

Grading Method Evaluation is done by examination and/or reports. Details will be instructed in the lecture.

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.

Academic Year	2024Year	School/Graduate School	School of Integrated Arts and Sciences Department of Integrated Arts and Sciences
Lecture Code	ANM06001	Subject Classification	Specialized Education
Subject Name	微分方程式
Subject Name （Katakana）	ビブンホウテイシキ
Subject Name in English	Differential Equations
Instructor	KISHIBA SEIGO
Instructor (Katakana)	キシバ　セイゴ
Campus	Higashi-Hiroshima	Semester/Term	2nd-Year, First Semester, 2Term
Days, Periods, and Classrooms	(2T) Tues1-4：IAS C808
Lesson Style	Lecture	Lesson Style (More Details)
Face-to face oral lecture. Online on-demand teaching materials are also available.
Credits	2.0	Class Hours/Week		Language of Instruction	J : Japanese
Course Level	2 : Undergraduate Low-Intermediate
Course Area（Area）	25 : Science and Technology
Course Area（Discipline）	01 : Mathematics/Statistics
Eligible Students
Keywords	ordinary differential equations
Special Subject for Teacher Education		Special Subject
Class Status within Educational Program (Applicable only to targeted subjects for undergraduate students)	Differential equations are important tools to handle models appear in natural field and/or social field.
Criterion referenced Evaluation (Applicable only to targeted subjects for undergraduate students)	Integrated Arts and Sciences （Knowledge and Understanding）・Knowledge and understanding of the importance and characteristics of each discipline and basic theoretical framework. （Abilities and Skills）・The ability and skills to specify necessary theories and methods for consideration of issues.
Class Objectives /Class Outline	The aim of this course is to learn theory, techniques, and applications related to the differential equations.
Class Schedule	Introduction / existence and uniqueness of solution of ODE How to solve ODE / the method of quadrature How to configure fundamental sets of solutions of ODE initial value problems of constant coefficient linear differential equations How to investigate behavior of ODE solution boundary value problems of ODE / Sturm-Liouville equation / Green function Stability analysis / dynamical system / method of perturbation post-class report every week / examination at the last of term Some topics may be added/skipped according to the progress of the class.
Text/Reference Books,etc.	Eiji Yanagita, Shin-ichiro Ei, "Joubibunhouteishikiron", Asakura Publishing, Tokyo, 2002 (in Japanese)
PC or AV used in Class,etc.
(More Details)	PC may be used for graphics
Learning techniques to be incorporated
Suggestions on Preparation and Review	Students should review/practice the knowledge of the lecture by themselves.
Requirements	Students should understand the basics of the differential/integral calculus and the linear algebra.
Grading Method	Evaluation is done by examination and/or reports. Details will be instructed in the lecture.
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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