課程資訊
課程名稱
微積分2
CALCULUS (2) 
開課學期
110-1 
授課對象
森林環境暨資源學系  
授課教師
傅斯緯 
課號
MATH4007 
課程識別碼
201 49820 
班次
19 
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
星期二1(8:10~9:00)星期四8,9,10(15:30~18:20) 
上課地點
普102普102 
備註
初選不開放。本課程英文授課,使用中文教科書。密集課程。英文授課.初選不開放.密集課程.統一教學.實習課另外安排.
限本系所學生(含輔系、雙修生)
總人數上限:140人 
Ceiba 課程網頁
http://ceiba.ntu.edu.tw/1101MATH4007_19 
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,與求面積體積等幾何量。除此之外,我們將簡介如何以多項式逼近複雜的函數,說明泰勒定理,並推導常見函數的泰勒展式。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 geometric quantities such as areas and volumes and more. In addition to these, series and Taylor expansions are briefly introduced to explain how complicated functions are approximated by polynomials.

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。
Students would be familiar with Calculus as a tool and be able to apply it in various subjects after finishing this course. 
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
 
參考書目
James Stewart, Daniel Clegg, and Saleem Watson, Calculus Early Transcendentals,
9th edition.
Paul's online notes: https://tutorial.math.lamar.edu

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
翁秉仁,微積分乙 
評量方式
(僅供參考)
   
課程進度
週次
日期
單元主題
Week 9
11/16,11/18  3.1-3.3 
Week 10
11/23,11/25  3.3 
Week 11
11/30,12/02  3.3, 3.4 
Week 12
12/07,12/09  3.4 
Week 13
12/14,12/16  4.1, 4.2 
Week 14
12/21,12/23  4.3 
Week 15
12/28,12/30  4.4 
Week 16
1/04,1/06  Review