| Academic Year |
2024Year |
School/Graduate School |
School of Science |
| Lecture Code |
HB360000 |
Subject Classification |
Specialized Education |
| Subject Name |
解析学特殊講義 |
Subject Name
（Katakana） |
カイセキガクトクシュコウギ |
Subject Name in
English |
Topics in Analysis |
| Instructor |
NAITO YUKI |
Instructor
(Katakana) |
ナイトウ ユウキ |
| Campus |
Higashi-Hiroshima |
Semester/Term |
4th-Year, Second Semester, 4Term |
| Days, Periods, and Classrooms |
(4T) Mon5-6,Thur5-6：SCI B301 |
| Lesson Style |
Lecture |
Lesson Style
(More Details) |
|
| Lecture |
| Credits |
2.0 |
Class Hours/Week |
|
Language of Instruction |
B
:
Japanese／English |
| Course Level |
6
:
Graduate Advanced
|
| Course Area（Area） |
25
:
Science and Technology |
| Course Area（Discipline） |
01
:
Mathematics/Statistics |
| Eligible Students |
1st year of master course |
| Keywords |
Fourier series, Partial Differential Equations |
| 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. |
|---|
Class Objectives
/Class Outline |
In this course, lectures on Fourier series and fundamentals of second order linear partial differential equations are given. |
| Class Schedule |
lesson1 Fourier series
lesson2 Fourier sine series, cosein series
lesson3 Complex Fourier series
lesson4 Bessel inequality
lesson5 Mean-square convergence
lesson6 Convergence of Fourier series
lesson7 Separation of variables for the heat and wave equations
lesson8 eparation of variablesfor the Laplace equations
lesson9 Heat equations I
lesson10 Heat Equations II
lesson11 Heat Equations III
lesson12 Laplace Equations I
lesson13 Laplace Equations II
lesson14 Wave Equations I
lesson15 Wave Equations II
report |
Text/Reference
Books,etc. |
Text book is not fixed. |
PC or AV used in
Class,etc. |
|
| (More Details) |
Black bard is only used. |
| Learning techniques to be incorporated |
|
Suggestions on
Preparation and
Review |
Please consider what is the theme on each day’s course. |
| Requirements |
|
| Grading Method |
Grading is mainly based on the report presented in the lase part of the course. This is for participants who attend the course at least 2/3 times. For participants not satisfying the rule, the examination should be done and good score is required. |
| 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. |