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【更新進度】23-24 s1/s2/ss 科目列表已上傳。
【更新進度】23-24 s1/s2/ss 的科目評價已更新。[2/7/2024]

MATH 2050 數學分析(一) Mathematical Analysis I

Course Code
MATH 2050
MATH2050
科目名稱
Mathematical Analysis I 數學分析(一)       
教員
學  分
課程性質

同科其他選

Workload
l   PAPERHOMEWORK
l   MIDTERM
l   FINAL EXAM
l   makeup midterm
好重

1
平均


極輕

評價教學內容
#1 有趣 需要70年中國歷史經驗才能聽懂授課內容
評價教員教學
#1 政治意味濃厚 解釋詳盡且用心。有special tutorial 幫能力稍弱學生
CUSIS科目資料
Description
This course is intended to provide conceptual understanding in the theory of functions of one variable. Topics include: real numbers, real valued functions, set notations; limits of sequences, convergence, Bolzano-Weierstrass; limits of functions, continuous functions, uniform continuity.
Learning Outcome
We emphasis on the rigorous epsilon-delta approach to analysis, which is crucial for a solid study of analysis. After taking and passing this course, a student is expected
- to understand the axioms of the real number system (constructions such as the Dedekind cuts are not necessary),
- to know the basic properties of countable and uncountable sets (must know that real numbers and irrational numbers are uncountable) and the statement of the continuum hypothesis,
- to familiarize with the concept of limits of sequences and functions, and
- to know the concept of continuity and uniform continuity for functions on the real line as well as relevant results such as the mean-value theorem.
其他資料
2018Sem1:學位 45|註冊 44|剩餘 1
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