課程資訊
課程名稱
微積分2
CALCULUS (2) 
開課學期
108-1 
授課對象
物理學系  
授課教師
陳榮凱 
課號
MATH4007 
課程識別碼
201 49820 
班次
01 
學分
2.0 
全/半年
半年 
必/選修
必帶 
上課時間
第10,11,12,13,14,15,16,17,18 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
初選不開放。密集課程。初選不開放。密集課程。統一教學.一10為實習課.
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_m102 
課程簡介影片
 
核心能力關聯
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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
 
預期每週課後學習時數
 
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 10
11/11,11/12,11/14  5.1 Areas and Distances
5.2 The Definite Integral 
Week 11
11/18,11/19,11/21  5.3 The Fundamental Theorem of Calculus
5.4 Indefinite Integrals and the Net Change Theorem
5.5 The Substitution Rule 
Week 12
11/25,11/26,11/28  6.1 Areas Between Curves
6.2 Volume
6.3 Volumes by Cylindrical Shells
6.5 Average Value of a Function

【11/25|Quiz 4】  
Week 13
12/02,12/03,12/05  7.1 Integration by Parts
7.2 Trigonometric Integrals
7.3 Trigonometric Substitution 
Week 14
12/09,12/10,12/12  7.4 Integration of Rational Functions by Partial Fractions
7.5 Strategy for Integration
7.8 Improper Integrals

【12/09|Quiz 5】  
Week 15
12/16,12/17 (放假),12/19 (放假)  8.1 Arc Length
8.2 Area of a Surface of Revolution
9.1 Modeling with Differential Equations
9.3 Separable Equations

【There will be TA session on Dec 16 (Mon)】 
Week 16
12/23,12/24,12/26  9.4 Models for Population Growth (✽)
9.5 Linear Equations
10.1 Curves Defined by Parametric Equations
10.2 Calculus with Parametric Curves

【12/23|Quiz 6】  
Week 17
12/30,12/31,1/02  10.3 Polar Coordinates
10.4 Areas and Lengths in Polar Coordinates 
Week 18
  期末考1/4(六) 09:00~11:30 考試範圍 5.1~10.4(英文命題)