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課程名稱 |
近世代數一
Modern Algebra (Ⅰ) |
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開課學期 |
104-1 |
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授課對象 |
理學院 數學研究所 |
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授課教師 |
陳榮凱 |
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課號 |
MATH5001 |
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課程識別碼 |
221 U6140 |
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班次 |
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學分 |
3 |
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全/半年 |
半年 |
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必/選修 |
選修 |
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上課時間 |
星期一3,4(10:20~12:10)星期四8,9(15:30~17:20) |
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上課地點 |
天數302天數302 |
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備註 |
總人數上限：30人
外系人數限制：5人 |
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Ceiba 課程網頁 |
http://ceiba.ntu.edu.tw/1041AdvAlgebra |
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課程簡介影片 |
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核心能力關聯 |
本課程尚未建立核心能力關連 |
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課程大綱
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課程概述 |
Algebra provides common and powerful language in describing symmetry in all areas of science. This course provides an opportunity to learn the basics of algebra, both commutative and non-commutative, especially to those who did not have them in their undergraduate study and would like to know them as tools or as research topics toward their graduate study. |
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課程目標 |
1. Basics and structures of groups, various rings and elds
2. Galois theory, manipulating with nite elds
3. Comfortable with modules, their tensor products, localizations, structure theorem of nitely generated modules over PIDs.
4. Structure theorems of simple algebras
5. Basics of representation theory of nite groups, character tables |
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課程要求 |
待補 |
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預期每週課後學習時數 |
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Office Hours |
另約時間 |
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指定閱讀 |
待補 |
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參考書目 |
待補 |
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評量方式
(僅供參考) |
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