課程資訊
課程名稱
微積分甲上
Calculus (general Mathematics) (a)(1) 
開課學期
104-1 
授課對象
生物機電工程學系  
授課教師
劉瓊如 
課號
MATH1201 
課程識別碼
201 101A1 
班次
12 
學分
全/半年
全年 
必/選修
必修 
上課時間
星期一6,7(13:20~15:10)星期五1,2(8:10~10:00) 
上課地點
新203新103 
備註
大二以上限20人.
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/1041MATH1201_12 
課程簡介影片
 
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課程概述

1. Limits and continuity
2. Differentiation
3. Mean-value theorem and applications
4. Integration
5. Applications of the integral
6. The transcendental functions
7. Techniques of integration
8. Polar coordinate 

課程目標
待補 
課程要求
待補 
Office Hours
 
參考書目
Calculus: Early Transcendentals 7th edition, 作者: James Stewart 
指定閱讀
待補 
評量方式
(僅供參考)
   
課程進度
週次
日期
單元主題
第1週
9/14,9/18  [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
9/21,9/25  [2.4] The Precise Definition of a Limit [2.5] Continuity [2.6] Limits at Infinity; Horizontal Asymptotes [2.7] Derivatives and Rates of Change 
第3週
9/28,10/02  [2.8] The Derivative as a Function [3.1] Derivatives of Polynomials and Exponential Functions [3.2] The Product and Quotient Rules [3.3] Derivatives of Trigonometric Functions 
第4週
10/05,10/09  [3.4] The Chain Rule [3.5] Implicit Differentiation 
第5週
10/12,10/16  [3.6] Derivatives of Logarithmic Functions [3.8] Exponential Growth and Decay [3.9] Related Rates [3.10] Linear Approximations and Differentials 
第6週
10/19,10/23  [4.1] Maximum and Minimum Values [4.2] The Mean Value Theorem 
第7週
10/26,10/30  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 [4.7] Optimization Problems 
第8週
11/02,11/06  [4.9] Antiderivatives [5.1] Areas and Distances 
第9週
11/09,11/13  [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
11/16,11/20  [6.1] Areas Between Curves [6.2] Volumes [6.3] Volumes by Cylindrical Shells [6.5] Average Value of a Function 
第11週
11/23,11/27  [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
11/30,12/04  [7.5] Strategy for Integration [7.8] Improper Integrals [8.1] Arc Length 
第13週
12/07,12/11  [8.2] Area of a Surface of Revolution [9.1] Modeling with Differential Equations [9.2] Direction Fields and Euler’s Method 
第14週
12/14,12/18  [9.3] Separable Equations [9.4] Models for Population Growth [9.5] Linear Equations 
第15週
12/21,12/25  [10.1] Curves Defined by Parametric Equations [10.2] Calculus with Parametric Curves 
第16週
12/28,1/01  [10.3] Polar Coordinates [10.4] Areas and Lengths in Polar Coordinates [10.6] Conic Sections in Polar Coordinates 
第17週
1/04,1/08  1/8期末考 5.1~10.6