HC290000 Mathematics for Physics D

Hiroshima University Syllabus

Japanese

Academic Year 2024Year School/Graduate School School of Science

Lecture Code HC290000 Subject Classification Specialized Education

Subject Name 物理数学Ｄ

Subject Name
（Katakana）ブツリスウガクD

Subject Name in
English Mathematics for Physics D

Instructor OKABE NOBUHIRO

Instructor
(Katakana) オカベ　ノブヒロ

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

Days, Periods, and Classrooms (2nd) Tues9-10：SCI E102

Lesson Style Lecture Lesson Style
(More Details) 　

Will decide a lecture style later, depending on COVID-19 situation.  In any cases, I will distribute the video on the Teams.

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） 06 : Physics

Eligible Students Semester No. 4

Keywords Fourier analysis, partial different equation, and special functions

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) Physics
（Abilities and Skills）
・Mathematical ability to describe physical items.

Class Objectives
/Class Outline To understand Fourier analysis, partial different equation and special functions

Class Schedule lesson1 Sec. 1 Review of Fourier series
lesson2  Sec. 1 Review of Fourier series/Sec. 2 Fourier transform
lesson3 Sec. 2. Fourier transform
lesson4 Sec. 2 Fourier transform
lesson5 Sec. 3 Green function
lesson6 Sec. 4 Poisson equation
lesson7 Sec. 5 Wave equation
lesson8  Sec.5 Wave equation
lesson9 Sec. 6 Diffusion equation
lesson10 Sec. 7 Gamma function, Beta function, zeta function
lesson11 Sec. 8 Legendre function
lesson12 Sec. 8 Legendre function
lesson13 Sec. 9 Bessel function
lesson14 Sec. 9 Bessel function
lesson15 Final examination

Several short examinations and final examination.

Text/Reference
Books,etc. Reference books:
Partial Differential Equations for Scientists and Engineers, Stanley J. Farlow, Dover Publications

PC or AV used in
Class,etc. 　

(More Details) Lecture note will be shown on a screen, and explanations are additionally written.

Learning techniques to be incorporated 　

Suggestions on
Preparation and
Review To solve equations and think about mathematical backgrounds by yourself is vitally important. This is the first step to really understand physics and mathematics. Otherwise, you will not be able to take advantage of  the lecture contents in your next studies and researches.  I strongly recommend you to perform exercises.

Requirements

Grading Method reports (~30-40%), and final examination (~60-70%)

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 Science
Lecture Code	HC290000	Subject Classification	Specialized Education
Subject Name	物理数学Ｄ
Subject Name （Katakana）	ブツリスウガクD
Subject Name in English	Mathematics for Physics D
Instructor	OKABE NOBUHIRO
Instructor (Katakana)	オカベ　ノブヒロ
Campus	Higashi-Hiroshima	Semester/Term	2nd-Year, Second Semester, Second Semester
Days, Periods, and Classrooms	(2nd) Tues9-10：SCI E102
Lesson Style	Lecture	Lesson Style (More Details)
Will decide a lecture style later, depending on COVID-19 situation. In any cases, I will distribute the video on the Teams.
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）	06 : Physics
Eligible Students	Semester No. 4
Keywords	Fourier analysis, partial different equation, and special functions
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)	Physics （Abilities and Skills）・Mathematical ability to describe physical items.
Class Objectives /Class Outline	To understand Fourier analysis, partial different equation and special functions
Class Schedule	lesson1 Sec. 1 Review of Fourier series lesson2 Sec. 1 Review of Fourier series/Sec. 2 Fourier transform lesson3 Sec. 2. Fourier transform lesson4 Sec. 2 Fourier transform lesson5 Sec. 3 Green function lesson6 Sec. 4 Poisson equation lesson7 Sec. 5 Wave equation lesson8 Sec.5 Wave equation lesson9 Sec. 6 Diffusion equation lesson10 Sec. 7 Gamma function, Beta function, zeta function lesson11 Sec. 8 Legendre function lesson12 Sec. 8 Legendre function lesson13 Sec. 9 Bessel function lesson14 Sec. 9 Bessel function lesson15 Final examination Several short examinations and final examination.
Text/Reference Books,etc.	Reference books: Partial Differential Equations for Scientists and Engineers, Stanley J. Farlow, Dover Publications
PC or AV used in Class,etc.
(More Details)	Lecture note will be shown on a screen, and explanations are additionally written.
Learning techniques to be incorporated
Suggestions on Preparation and Review	To solve equations and think about mathematical backgrounds by yourself is vitally important. This is the first step to really understand physics and mathematics. Otherwise, you will not be able to take advantage of the lecture contents in your next studies and researches. I strongly recommend you to perform exercises.
Requirements
Grading Method	reports (~30-40%), and final examination (~60-70%)
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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