課程資訊
課程名稱
微積分甲上
CALCULUS (GENERAL MATHEMATICS) (A)(1) 
開課學期
99-1 
授課對象
資訊工程學系  
授課教師
張志中 
課號
MATH1201 
課程識別碼
201 101A1 
班次
03 
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303新103新103 
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:100人 
Ceiba 課程網頁
http://ceiba.ntu.edu.tw/991cal03 
課程簡介影片
 
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課程概述

One variable calculus

統一教學網站: http://www.math.ntu.edu.tw/~mathcal/a/ 

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
High School Mathematics 
Office Hours
 
參考書目
James Stewart, Calculus Early Transcendentals, 6th edition. 
指定閱讀
James Stewart, Calculus Early Transcendentals, 6th edition. 
評量方式
(僅供參考)
 
No.
項目
百分比
說明
1. 
Midterm Exam 
40% 
 
2. 
Final Exam 
40% 
 
3. 
Quizzes and Participation 
20% 
 
 
課程進度
週次
日期
單元主題
第1週
9/13,9/15,9/17  [1.5] Exponential Functions [1.6] Inverse Functions and Logarithms [2.1] The Tangent and Velocity Problems [2.2] The Limit of a Function 
第2週
9/20,9/22,9/24  [2.3] Calculating Limits Using the Limit Laws [2.4] The Precise Definition of a Limit 
第3週
9/27, 9/29, 10/01  [2.5] Continuity [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
10/04,10/06,10/08  [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
10/11,10/13,10/15  [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
10/18,10/20,10/22  [4.1] Maximum and Minimum Values [4.2] The Mean Value Theorem 
第7週
10/25,10/27,10/29  [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
11/01,11/03,11/05  [4.9] Antiderivatives [5.1] Areas and Distances [5.2] The Definite Integral [5.3] The Fundamental Theorem of Calculus 
第9週
11/08,11/10,11/12  [5.4] Indefinite Integrals and the Net Change Theorem [5.5] The Substitution Rule ** Midterm Exam: 11/13 (Sat.) 13:30~16:00** 
第10週
11/15,11/17,11/19  [6.1] Areas between Curves [6.2] Volumes [6.3] Volumes by Cylindrical Shells 
第11週
11/22,11/24,11/26  [6.5] Average Value of a Function [7.1] Integration by Parts [7.2] Trigonometric Integrals 
第12週
11/29,12/01,12/03  [7.3] Trigonometric Substitution [7.4] Integration of Rational Functions by Partial Fractions 
第13週
12/06,12/08,12/10  [7.5] Strategy for Integration [7.6] Integration Using Tables and Computer Algebra Systems [7.7] Approximate Integration [7.8] Improper Integrals 
第14週
12/13,12/15,12/17  [8.1] Arc Length [8.2] Area of a Surface of Revolution 
第15週
12/20,12/22,12/24  [9.1] Modeling with Differential Equations [9.2] Direction Fields and Euler’s Method [9.3] Separable Equations [9.4] Models for Population Growth 
第16週
12/27,12/29,12/31  [9.5] Linear Equations [10.1] Curves Defined by Parametric Equations [10.2] Calculus with Parametric Curves 
第17週
1/03,1/05,1/07  [10.3] Polar Coordinates [10.4] Areas and Lengths in Polar Coordinates ** Final Exam: 1/9 (Sun.) 13:30~16:00 **