課程資訊
課程名稱
微積分甲上
Calculus (general Mathematics) (a)(1) 
開課學期
102-1 
授課對象
電機工程學系  
授課教師
顏文明 
課號
MATH1201 
課程識別碼
201 101A1 
班次
02 
學分
全/半年
全年 
必/選修
必修 
上課時間
星期一9(16:30~17:20)星期三5,6(12:20~14:10)星期五5,6(12:20~14:10) 
上課地點
新203新203新203 
備註
統一教學.大二以上限20人.一9為實習課.
限本系所學生(含輔系、雙修生)
總人數上限:130人 
Ceiba 課程網頁
http://ceiba.ntu.edu.tw/1021A02 
課程簡介影片
 
核心能力關聯
核心能力與課程規劃關聯圖
課程大綱
為確保您我的權利,請尊重智慧財產權及不得非法影印
課程概述

http://www.math.ntu.edu.tw/~mathcal/download/991/991A1.pdf 

課程目標
Study the process of approximation and its limitation (errors), learn the tools and techniques for analyzing regular mappings with applications, and deepen the understanding of elementary functions. 
課程要求
 
Office Hours
另約時間 
參考書目
James Stewart, Calculus Early Transcendentals, 7th edition. 
指定閱讀
 
評量方式
(僅供參考)
 
No.
項目
百分比
說明
1. 
Midterm Exam 
40% 
 
2. 
Homework and Quiz 
20% 
 
3. 
Final Exam 
40% 
 
 
課程進度
週次
日期
單元主題
第1週
9/11,9/13  [1.5] Exponential Functions [1.6] Inverse Functions and Logarithms [2.1] The Tangent and Velocity Problems [2.2] The Limit of a Function [2.3] Calculating Limits Using the Limit Laws 
第2週
9/18,9/20  [2.4] The Precise Definition of a Limit [2.5] Continuity 
第3週
9/25,9/27  [2.6] Limits at Infinity; Horizontal Asymptotes [2.7] Derivatives and Rates of Change [2.8] The Derivative as a Function [3.1] Derivatives of Polynomials and Exponential Functions 
第4週
10/02,10/04  [3.2] The Product and Quotient Rules [3.3] Derivatives of Trigonometric Functions [3.4] The Chain Rule [3.5] Implicit Differentiation 
第5週
10/09,10/11  [3.6] Derivatives of Logarithmic Functions [3.7] Rates of Change in the Natural and Social Sciences ( ※ ) [3.8] Exponential Growth and Decay [3.9] Related Rates [3.10] Linear Approximations and Differentials [3.11] Hyperbolic Functions 
第6週
10/16,10/18  [4.1] Maximum and Minimum Values [4.2] The Mean Value Theorem 
第7週
10/23,10/25  4.3] How Derivatives Affect the Shape of a Graph [4.4] Indeterminate Forms and L’Hospital’s Rule [4.5] Summary of Curve Sketching [4.6] Graphing with Calculus and Calculators ( ※ ) [4.7] Optimization Problems 
第8週
10/30,11/1  [4.8] Newton’s Method ( ※ ) [4.9] Antiderivatives [5.1] Areas and Distances 
第9週
11/06,11/08  [5.2] The Definite Integral [5.3] The Fundamental Theorem of Calculus [5.4] Indefinite Integrals and the Net Change Theorem [5.5] The Substitution Rule 
第10週
11/13,11/15  [6.1] Areas Between Curves [6.2] Volumes [6.3] Volumes by Cylindrical Shells [6.4] Work ( ※ ) 
第11週
11/20,11/22  [6.5] Average Value of a Function ( ※ ) [7.1] Integration by Parts [7.2] Trigonometric Integrals [7.3] Trigonometric Substitution [7.4] Integration of Rational Functions by Partial Fractions 
第12週
11/27,11/29  [7.5] Strategy for Integration [7.7] Approximate Integration [7.8] Improper Integrals [8.1] Arc Length 
第13週
12/04,12/06  [8.2] Area of a Surface of Revolution [8. 3 ] A pplications to Physics and Engineering [8. 4 ] Applications to Economics and Biology ( ※ ) [8. 5 ] Probability ( ※ ) 
第14週
12/11,12/13  [9.1] Modeling with Differential Equations [9.2] Direction Fields and Euler’s Method ( ※ ) [9.3] Separable Equations [9.4] Models for Population Growt 
第15週
12/18,12/20  [9.5] Linear Equations 
第16週
12/25,10/27  [10.1] Curves Defined by Parametric Equations [10.2] Calculus with Parametric Curves [10.3] Polar Coordinates [10.4] Areas and Lengths in Polar Coordinates [ 10.6 ] Conic Sections in Polar Coordinates