課程資訊
課程名稱
微積分1
CALCULUS (1) 
開課學期
108-1 
授課對象
物理學系  
授課教師
陳榮凱 
課號
MATH4006 
課程識別碼
201 49810 
班次
01 
學分
2.0 
全/半年
半年 
必/選修
必帶 
上課時間
第1,2,3,4,5,6,7,8,9 週
星期一10(17:30~18:20)星期二6,7(13:20~15:10)星期四8,9(15:30~17:20) 
上課地點
新303新303新303 
備註
密集課程。統一教學.一10為實習課.本班次的同學,將直接帶入此班的微積分2.可自行退選微積分2.
限本系所學生(含輔系、雙修生)
總人數上限:80人 
Ceiba 課程網頁
http://ceiba.ntu.edu.tw/1081Calculus_m101 
課程簡介影片
 
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課程大綱
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課程概述

We will introduce the basic but interesting concepts of mathematics, by using calculus and possibly something more. 

課程目標
We expect the students will obtain good taste of mathematics as well as good command of differential and integral calculus. 
課程要求
 
Office Hours
 
參考書目
Courant and John, Introduction to Calculus and Analysis, vol I, II 
指定閱讀
Stewart, Calculus: Early Transcendentals 第八版 
評量方式
(僅供參考)
   
課程進度
週次
日期
單元主題
Week 1
9/09,9/10,9/12  1.4 Exponential Functions 1.5 Inverse Functions and Logarithms 2.1 The Tangent and Velocity Problems 
Week 2
9/16,9/17,9/19  2.2 The Limit of a Function 2.3 Calculating Limits Using the Limit Laws 2.4 The Precise Definition of a Limit 
Week 3
9/23,9/24,9/26  2.5 Continuity 2.6 Limits at Infinity; Horizontal Asymptotes 2.7 Derivatives and Rates of Change 2.8 The Derivative as a Function 【09/23|Quiz 1】 
Week 4
9/30,10/01,10/03  3.1 Derivatives of Polynomials and Exponential Functions 3.2 The Product and Quotient Rules 3.3 Derivatives of Trigonometric Functions 3.4 The Chain Rule 
Week 5
10/07,10/08,10/10  3.5 Implicit Differentiation 3.6 Derivatives of Logarithmic Functions 3.8 Exponential Growth and Decay (✽) 【10/07|Quiz 2】 
Week 6
10/14,10/15,10/17  3.9 Related Rates 3.10 Linear Approximations and Differentials 3.11 Hyperbolic Functions (✽) 4.1 Maximum and Minimum Values 
Week 7
10/21,10/22,10/24  4.2 The Mean Value Theorem 4.3 How Derivatives Affect the Shape of a Graph 4.4 Indeterminate Forms and l'Hospital's Rule 【10/21|Quiz 3】 
Week 8
10/28,10/29,10/31  4.5 Summary of Curve Sketching 4.7 Optimization Problems 4.9 Antiderivatives 
Week 9
11/04,11/05,11/07  【期中考】 1. 時間:11/02(六),09:00~11:30 2. 考試地點:新生 103 3. 考試範圍:1.4~4.9(英文命題)