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課程名稱 |
代數一
ALGEBRA(Ⅰ) |
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開課學期 |
97-1 |
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授課對象 |
理學院 數學系 |
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授課教師 |
陳其誠 |
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課號 |
MATH7105 |
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課程識別碼 |
221 U3830 |
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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)星期四7,8(14:20~16:20) |
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上課地點 |
新304新502 |
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備註 |
研究所數學組基礎課。先修知識:代數導論
總人數上限：60人
外系人數限制：5人 |
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課程簡介影片 |
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核心能力關聯 |
核心能力與課程規劃關聯圖 |
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課程大綱
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為確保您我的權利,請尊重智慧財產權及不得非法影印
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課程概述 |
Groups: Groups and Homomorphisms. The Isomorphism Theorems.
Permutation Groups. Direct Products. The Sylow Theorems.
Normal and Subnormal Series.
Rings: Rings and Homomorphisms. The Isomorphism Theorems. Factorization in Commutative Rings. Rings of Quotients and Localization. Modules: Modules and Homomorphisms. Free Modules. Tensor Products.
Modules over Principal Ideal Domains. Algebras.
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課程目標 |
A deeper survey of basic notions in algebra, possibly required in other graduate courses. |
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課程要求 |
Knowing the content in INTRODUCTION TO ALGEBRA(Ⅰ) is recommended. |
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預期每週課後學習時數 |
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Office Hours |
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指定閱讀 |
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參考書目 |
Thomas W. Hungerford, “Algebra”. |
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評量方式
(僅供參考) |
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No. |
項目 |
百分比 |
說明 |
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1. |
ALL |
100% |
The grade is solely determined by the scores of three monthly exams. |
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