課程資訊
課程名稱
微積分2
CALCULUS (2) 
開課學期
110-1 
授課對象
材料科學與工程學系  
授課教師
傅斯緯 
課號
MATH4007 
課程識別碼
201E49820 
班次
04 
學分
2.0 
全/半年
半年 
必/選修
必修 
上課時間
第9,10,11,12,13,14,15,16 週
星期一10(17:30~18:20)星期三6,7(13:20~15:10)星期五6,7(13:20~15:10) 
上課地點
新203新203新203 
備註
初選不開放。本課程以英語授課。密集課程。英文授課.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:110人 
Ceiba 課程網頁
http://ceiba.ntu.edu.tw/1101MATH4007_04 
課程簡介影片
 
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課程概述

這是一門半學期的課程,主要介紹單變數函數的積分運算,和積分在各領域豐富的應用。內容涵蓋積分的定義,微積分基本定理,積分技巧,求面積體積,和初步的微分方程等。課堂上將講解定義並推導重要定理,以培養學生邏輯推理與分析能力;同時會示範微積分在各領域的應用,幫助學生將微積分與其他專業科目結合。本課程還設有習題課,學生將在助教的帶領下熟練微積分的計算。

Integration on functions of a single variable together with its profound applications in various subject areas are introduced in this half-semester course. Especially, this course includes the definition of integrals, the Fundamental Theorem of Calculus, techniques of integration, finding areas and volumes, solving elementary differential equations and more.
Definitions are discussed and the most important theorems are derived in the lectures with a view to help students to develop their abilities in logical deduction and analysis. Practical applications of Calculus in various fields are illustrated in order to promote a more organic interaction between the theory of Calculus and students' own fields of study. This course also provides discussion sessions in which students are able to make their skills in handling calculations in Calculus more proficient under the guidance of our teaching assistants.
 

課程目標
修完本課程學生能熟悉微積分工具,並應用在各學科。「微積分1, 2, 3, 4」將奠定學生修讀工程數學、分析、微分方程等進階課程的基礎。
Students would be familiar with Calculus as a tool and be able to apply it in various subjects after finishing this course. "Calculus 1, 2, 3, 4" provide the basis for the study of various advanced courses like Engineering Mathematics, Analysis and Differential Equations.
 
課程要求
學生應熟練高中數學,並完成為台大新生預備的線上「微積分學前自我檢測」。
學生應出席並積極參與課堂與習題課的討論。
Before taking this course, students should be already skilled in high school mathematics and finish the online Precalculus Self Diagnostic Test which is designed for NTU freshmen.
Students are expected to attend and participate actively in lectures as well as discussion sessions.
 
預期每週課後學習時數
 
Office Hours
備註: TBA 
參考書目
Textbook: James Stewart, Daniel Clegg, and Saleem Watson, Calculus Early Transcendentals, 9th edition. 

其他相關資訊 

微積分統一教學網站: http://www.math.ntu.edu.tw/~calc/Default.html

台大微積分考古題:  http://www.math.ntu.edu.tw/~calc/cl_n_34455.html

數學知識網站: http://episte.math.ntu.edu.tw/cgi/mathfield.pl?fld=cal 

免費線上數學繪圖軟體Desmos Calculator: https://www.desmos.com/calculator 

免費知識型計算引擎: https://www.wolframalpha.com  
指定閱讀
Textbook: James Stewart, Daniel Clegg, and Saleem Watson, Calculus Early Transcendentals, 9th edition. 
 
評量方式
(僅供參考)
 
No.
項目
百分比
說明
1. 
Exam 
40% 
 
2. 
Quiz 
30% 
 
3. 
Homework 
30% 
 
 
課程進度
週次
日期
單元主題
第9週
11/17,11/19,11/22  5.1,5.2,5.3 
第10週
11/24,11/26,11/29  5.4,5.5 
第11週
12/01,12/03,12/06  6.1,6.2,6.3,6.5 
第12週
12/08,12/10,12/13  7.1,7.2,7.3 
第13週
12/15,12/17,12/20  7.4,7.5,7.8 
第14週
12/22,12/24,12/27  8.1,8.2,9.1,9.3 
第15週
12/29,1/03  9.5,10.1,10.2 
第16週
1/05,1/07  10.3,10.4