| Academic Year |
2025Year |
School/Graduate School |
Graduate School of Advanced Science and Engineering (Master's Course) Division of Advanced Science and Engineering Mathematics Program |
| Lecture Code |
WSA24000 |
Subject Classification |
Specialized Education |
| Subject Name |
代数数理特論Ｂ |
Subject Name
（Katakana） |
ダイスウスウリトクロンビー |
Subject Name in
English |
Topics in Algebra B |
| Instructor |
KIMURA SHIYUNICHI,SHIMADA ICHIROU,TAKAHASHI NOBUYOSHI |
Instructor
(Katakana) |
キムラ シュンイチ,シマダ イチロウ,タカハシ ノブヨシ |
| Campus |
Higashi-Hiroshima |
Semester/Term |
1st-Year, Second Semester, 4Term |
| Days, Periods, and Classrooms |
(4T) Tues7-8,Thur3-4：SCI B305 |
| Lesson Style |
Lecture |
Lesson Style
(More Details) |
Face-to-face |
| |
| Credits |
2.0 |
Class Hours/Week |
4 |
Language of Instruction |
B
:
Japanese／English |
| Course Level |
5
:
Graduate Basic
|
| Course Area（Area） |
25
:
Science and Technology |
| Course Area（Discipline） |
01
:
Mathematics/Statistics |
| Eligible Students |
|
| Keywords |
|
| 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) | |
|---|
Class Objectives
/Class Outline |
It is an omnibus lecture given by three instructors.
Shimada's lecture aims to provide an overview of the concepts of ordinals and cardinals in set theory.
Takahashi's lecture will be on computations concerning algebraic equations and algebraic geometry with computer algebra systems.
Kimura's lectures goal is programming of recursive functions. We use Mathematica as the programming language. |
| Class Schedule |
In Sessions 1 to 5, Shimada will lecture on the set theory.
He will explain the concepts of ordinals and cardinals.
1. Axioms of Set Theory
2. Ordinals and Cardinals
3. The Continuum Hypothesis
Sessions 6 to 10 are given by Takahashi,
and the topics will include how to use SageMath, solution of algebraic equations,
and applications to the study of algebraic varieties.
Lectures on the background and demonstrations on examples will be given.
11 Use Mathematica as a calculator
12 Functional Programming
13 Recursive functions (1)
14 Recursive functions (2)
15 Applications |
Text/Reference
Books,etc. |
Shimada:The reference books will be introduced during the lecture.
Takahashi: Handouts will be distributed when necessary.
Kimura: Hand outs. Please install Mathematica on your computer in advance. |
PC or AV used in
Class,etc. |
|
| (More Details) |
|
| Learning techniques to be incorporated |
|
Suggestions on
Preparation and
Review |
Shimada: Take sufficient time to think problems given in each session.
Takahashi: Think about the exercises given in the sessions.
Kimura: Play with programming. |
| Requirements |
|
| Grading Method |
Three instructors will independently assign grades on a 100-point scale, and the evaluation will be based on their average.
Shimada will evaluate students based on their report submissions.
Takahashi's evaluation will be based on reports.
Kimura: Based on 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. |