The Chinese University of Hong Kong

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MATH 2093 Essential Mathematical Methods II

Related Textbook(s)/Reference(s):
2 sharing(s) available for this course
Average Rating:

9.50


Anonymous shared this review at 11:12am 15 July 2012
  • Professor: 刘智轩
  • Language: English
Rating:

9.00

Course Description
主要讲set theory
Assessment
挺按部就班的一个课。作业quiz什么的安排得很有规律。
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Anonymous shared this review at 8:48pm 20 July 2012
  • Professor: 劉智軒 Lau Chi Hin
  • Language: English
Rating:

10.00

Course Description
相當有意義的課,強烈建議選數學/MIE的同學在大一上。內容為介紹基礎數學,即從集合論的角度,從最簡單的定義和假設出發,構建起整個數學體系的基石,為學習其他課程打下基礎;同時能瞭解數學史,大大開拓眼界。內容主要是基礎邏輯、集合論,涉及部份抽象代數(群論)。大綱大致如下:
1. 介紹自然數的定義(皮亞諾定理)
2. 基礎邏輯
3. 集合、函數、關係的定義和運算
4. 整數、有理數、實數的嚴格定義
5. Cardinality(勢)的定義和運算
6. 群、域、邏輯代數

同時這門課也會涉及部份微積分和線代,但難度不大。
課程本身內容很豐富,notes寫得極其有條理,上課不聽都幾乎能看懂。當然我選擇邊聽邊自學,能少走些彎路(老師會額外講notes上沒有的證明或有趣的問題)。前面很簡單,後面難度增加很快,尤其是“勢”那一章,在證明上需要不少技巧。
Assessment
作業 + 4次quiz + final,好像分別占10%,40%,50%,不太記得了。
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