| Academic Year |
2026Year |
School/Graduate School |
School of Science |
| Lecture Code |
HA120000 |
Subject Classification |
Specialized Education |
| Subject Name |
代数学II |
Subject Name
（Katakana） |
ダイスウガク２ |
Subject Name in
English |
Algebra II |
| Instructor |
MATSUI HIROKI |
Instructor
(Katakana) |
マツイ ヒロキ |
| Campus |
Higashi-Hiroshima |
Semester/Term |
2nd-Year, Second Semester, 3Term |
| Days, Periods, and Classrooms |
(3T) Tues5-6,Fri1-2：SCI E104 |
| Lesson Style |
Lecture |
Lesson Style
(More Details) |
Face-to-face |
| Blackboard |
| Credits |
2.0 |
Class Hours/Week |
4 |
Language of Instruction |
B
:
Japanese／English |
| Course Level |
2
:
Undergraduate Low-Intermediate
|
| Course Area（Area） |
25
:
Science and Technology |
| Course Area（Discipline） |
01
:
Mathematics/Statistics |
| Eligible Students |
|
| Keywords |
groups, homomorphisms, quotient groups, group actions |
| 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 classical basic theory which is a base of modern mathematics. Being able to find and explain issues from specific events.
（Abilities and Skills）
・To acquire basic mathematical abilities (Ability to understand concepts, calculation ability, argumentation ability). |
|---|
Class Objectives
/Class Outline |
This course introduces the fundamentals of group theory. The goal is to understand the basic concepts and results of groups and to acquire the ways of thinking used in algebra.
|
| Class Schedule |
Lesson1: Sets and maps
Lesson2: Division of integers
Lesson3: Definition of groups
Lesson4: Examples of groups
Lesson5: Subgroups
Lesson6: Equivalence relations and quotient sets
Lesson7: Cosets
Lesson8: Lagrange's theorem
Lesson9: Midterm Exam
Lesson10: Homomorphisms
Lesson11: Normal subgroups and quotient groups
Lesson12: Isomorphism theorems (1)
Lesson13: Isomorphism theorems (2)
Lesson14: Group actions
Lesson15: Conjugacy classes
There will be midterm and final exams.
There will be midterm and final exams. |
Text/Reference
Books,etc. |
Handouts will be assigned during lectures. No specific textbook is fixed.
Any algebra textbook that includes group theory is suitable as a study-aid book. |
PC or AV used in
Class,etc. |
Handouts, moodle |
| (More Details) |
Handouts |
| Learning techniques to be incorporated |
Post-class Report |
Suggestions on
Preparation and
Review |
After each lecture, be sure to thoroughly review the course content. First, clearly understand the definitions and the statements of the theorems, and then try to work toward completely understanding the proofs of the theorems as well. |
| Requirements |
It is recommended that students take Exercises in Algebra II. |
| Grading Method |
Based on reports and exams. Detailed explanations will be given in the class. |
| 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. |