| Academic Year |
2024Year |
School/Graduate School |
School of Science |
| Lecture Code |
HB250000 |
Subject Classification |
Specialized Education |
| Subject Name |
代数学Ｄ |
Subject Name
（Katakana） |
ダイスウガクD |
Subject Name in
English |
Algebra D |
| Instructor |
SHIMADA ICHIROU |
Instructor
(Katakana) |
シマダ イチロウ |
| Campus |
Higashi-Hiroshima |
Semester/Term |
4th-Year, Second Semester, 3Term |
| Days, Periods, and Classrooms |
(3T) Mon3-4,Thur3-4：SCI E211 |
| Lesson Style |
Lecture |
Lesson Style
(More Details) |
|
| Blackboard |
| Credits |
2.0 |
Class Hours/Week |
|
Language of Instruction |
B
:
Japanese／English |
| Course Level |
4
:
Undergraduate Advanced
|
| Course Area（Area） |
25
:
Science and Technology |
| Course Area（Discipline） |
01
:
Mathematics/Statistics |
| Eligible Students |
|
| Keywords |
elliptic curve, period, hypergeometric function |
| 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 |
An introductory lectures on hypergeometric deferential equations associated with algebraic varieties. |
| Class Schedule |
Elliptic curves by the algebraic definition
Elliptic curves by the complexanalyticdefinition
Relations between by thetwo definitions 1
Relations between by the two definitions 2
Differential equation satisfied by the period of elliptic curves 1
Differential equation satisfied by the period of elliptic curves 2
Differential equation satisfied by the period of elliptic curves 3
The hypergeometric function of Gauss 1
The hypergeometric function of Gauss 2
The hypergeometric function of Gauss 3
The general theory of Linear differential equations in a complex domain 1
The general theory of Linear differential equations in a complex domain 2
The general theory of Linear differential equations in a complex domain 3
The general theory of Linear differential equations in a complex domain 4
The schedule may change. |
Text/Reference
Books,etc. |
References will be given during the courses.
|
PC or AV used in
Class,etc. |
|
| (More Details) |
blackboard and handouts |
| Learning techniques to be incorporated |
|
Suggestions on
Preparation and
Review |
Examine the examples given in the lecture.
Examine the examples given in the lecture.
Examine the examples given in the lecture.
Examine the examples given in the lecture.
Examine the examples given in the lecture.
Examine the examples given in the lecture.
Examine the examples given in the lecture.
Examine the examples given in the lecture.
Examine the examples given in the lecture.
Examine the examples given in the lecture.
Examine the examples given in the lecture.
Examine the examples given in the lecture.
Examine the examples given in the lecture.
Examine the examples given in the lecture.
Examine the examples given in the lecture. |
| Requirements |
|
| Grading Method |
By reports |
| 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. |