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?