Type of Credit: Elective
Credit(s)
Number of Students
In this course, we will introduce some advanced topics in group theory, commutative algebra and field extension.
能力項目說明
本課程之目標在讓學生了解如何利用學過的知識來探討各種不同的代數結構，將其應用到代數相關領域。
| 教學週次Course Week | 彈性補充教學週次Flexible Supplemental Instruction Week | 彈性補充教學類別Flexible Supplemental Instruction Type |
|---|---|---|
| 週次Week | 課程主題Course Theme | 課程內容與指定閱讀Content and Reading Assignment | 教學活動與作業Activity and Homework | 學習投入時數Estimated time devoted to coursework per week | |
|---|---|---|---|---|---|
| 課堂講授Lecture Hours | 課程前後Preparation Time | ||||
|
1 |
Group Theory | basics in group |
習題討論 |
3.0 |
6.0 |
|
2 |
Group Theory | basics in group |
習題討論 |
3.0 |
6.0 |
|
3 |
Group Theory | coset and counting |
習題討論 |
3.0 |
6.0 |
|
4 |
Group Theory | coset and counting |
習題討論 |
3.0 |
6.0 |
|
5 |
Group Theory | isomorphism theorem |
習題討論 |
3.0 |
6.0 |
|
6 |
Group Theory | isomorphism theorem |
習題討論 |
3.0 |
6.0 |
|
7 |
Group Theory | category theorem |
習題討論 |
3.0 |
6.0 |
|
8 |
Group Theory | category theorem |
習題討論 |
3.0 |
6.0 |
|
9 |
Group Theory | category theorem |
Midterm |
0.0 |
0.0 |
|
10 |
Group Theory | group action |
習題討論 |
3.0 |
6.0 |
|
11 |
Group Theory | sylow theorem |
習題討論 |
3.0 |
6.0 |
|
12 |
Group Theory | normal and subnormal series |
習題討論 |
3.0 |
6.0 |
|
13 |
Commutaive Algebra | basics in ring theory |
習題討論 |
3.0 |
6.0 |
|
14 |
Commutaive Algebra | quotient ring and localization |
習題討論 |
3.0 |
6.0 |
|
15 |
Commutaive Algebra | quotient ring and localization |
習題討論 |
3.0 |
6.0 |
|
16 |
Commutaive Algebra | polynomial ring |
習題討論 |
3.0 |
6.0 |
|
17 |
Commutaive Algebra | polynomial ring |
習題討論 |
3.0 |
6.0 |
|
18 |
Commutaive Algebra | ideal theory |
Final |
0.0 |
0.0 |
本課程無涉及 AI 使用。
期末 100%
Algebra, T.W.Hungerford
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