| Academic Year |
2024Year |
School/Graduate School |
School of Science |
| Lecture Code |
HB020000 |
Subject Classification |
Specialized Education |
| Subject Name |
代数学Ａ |
Subject Name
（Katakana） |
ダイスウガクA |
Subject Name in
English |
Algebra A |
| Instructor |
SHIMADA ICHIROU |
Instructor
(Katakana) |
シマダ イチロウ |
| Campus |
Higashi-Hiroshima |
Semester/Term |
3rd-Year, First Semester, 1Term |
| Days, Periods, and Classrooms |
(1T) Tues5-6：SCI E209, (1T) Thur1-2：ECON B257 |
| Lesson Style |
Lecture |
Lesson Style
(More Details) |
|
| Mainly blackboard |
| Credits |
2.0 |
Class Hours/Week |
|
Language of Instruction |
J
:
Japanese |
| Course Level |
3
:
Undergraduate High-Intermediate
|
| 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) | Mathematics
（Knowledge and Understanding）
・Understanding on primary theory of modern mathematics established on classical theory.
（Abilities and Skills）
・To acquire basic mathematical abilities (Ability to understand concepts, calculation ability, argumentation ability). |
|---|
Class Objectives
/Class Outline |
We learn the theory of commutative rings. |
| Class Schedule |
0.Review of group theory
1.Review of group theory
2.Review of group theory
3: Definitions of rings and fields
4: Homomorphisms
5: Ideals
6: Homomorphism theorem
7: Polynomial rings
8: Exam
9: Factoring polynomials
10: PID
11: UFD
12: Modules
13: Moduless over PID
14: Exam
|
Text/Reference
Books,etc. |
Not specified |
PC or AV used in
Class,etc. |
|
| (More Details) |
Handouts |
| Learning techniques to be incorporated |
|
Suggestions on
Preparation and
Review |
Understand definitions and examine examples carefully |
| Requirements |
|
| Grading Method |
Mini-tests and Exams |
| 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. |