Course Code
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MATH
2050
MATH2050 |
科目名稱
|
Mathematical
Analysis I 數學分析(一)
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教員
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學 分
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課程性質
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同科其他選擇
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Workload
|
l 非PAPER類HOMEWORK
l MIDTERM
l FINAL EXAM
l makeup midterm
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好重
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重
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1
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平均
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輕
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極輕
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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
|
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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
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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.
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其他資料
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2018Sem1:學位 45|註冊 44|剩餘 1
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同學推薦
|
高度推薦
|
1
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推薦
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有保留
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極有保留
|
123
【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]
【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
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