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Lecture for 2.1-2.3

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1.期考 50% 期考10/29(日) 09:00~11:30 考試以英文命題
2.小考 20%演習課舉行,小考兩次,9/20(2.1-2.7 except for 2.4),10/11(2.8&3.1-3.6&3.10)
3.Webwork 10% 請於規定時間內完成
4.學習單 10% 請於指定時間內上傳到作業區
5.紙本作業10%請於指定時間內上傳到作業區
3+4+5為平時分數,作業部分請各位同學務必自己完成,如有發現抄襲現象,將以零
分計算
常用網站:
Ntucool: https://cool.ntu.edu.tw/courses/29256
(課程公告、上課講義、線上作業繳交)
微積分統一教學網:http://www.math.ntu.edu.tw/~calc/Default.html
(紙本作業題目題號、考古題)
Webwork: http://webwork.math.ntu.edu.tw/webwork2/112_Calculus1_05_09/
Outline of this semester:
Calculus 1:
1. Limit and Continuity (Ch 2)
2. Differentiation and its application (Ch 3-4)
Calculus 2:
1. Definite and indefinite integrals
2. Technique and application of integration
3. Differential equations
Chapter 2
Limits and Derivatives
Section 2.2
The Limit of a Function
Keyword: Limit, infinity, vertical asymptote
https://www.geogebra.org/m/YvaFWUzY
Intuitive definition of a limit:
Two important questions
Q1:
No
Two important questions
Q2:
No
To show the limit exist, we introduce the one-sided limit
Infinite limit:
Vertical asymptote:
Section 2.3
Calculating limits using
the limit laws
Keyword: Limit laws, squeeze theorem
Prop:
The limit of a rational function:
How to check the limit exist?
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