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
地理環境資源學系  
授課教師
莊正良 
課號
MATH1201 
課程識別碼
201 101A1 
班次
08 
學分
全/半年
全年 
必/選修
必修 
上課時間
星期三8,9,10(15:30~18:20)星期五1,2(8:10~10:00) 
上課地點
新302新302 
備註
統一教學.大二以上限20人.三10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/1041MATH1201_08 
課程簡介影片
 
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課程概述

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
另約時間 備註: 請看微甲二組統一教學網站 http://www.math.ntu.edu.tw/~mathcal/a/ 
參考書目
James Stewart, Calculus Early Transcendentals, 7th edition. (Metric version) 
指定閱讀
待補 
評量方式
(僅供參考)
 
No.
項目
百分比
說明
1. 
期中考 
40% 
細節請看微甲二組統一教學網站 
2. 
期末考 
40% 
細節請看微甲二組統一教學網站 
3. 
小考 
20% 
細節由演習課教學助理另訂 
 
課程進度
週次
日期
單元主題
第1週
9/16,9/18  <html> <body> [1.5] Exponential Functions<br> [1.6] Inverse Functions and Logarithms<br> [2.1] The Tangent and Velocity Problems<br> [2.2] The Limit of a Function<br> [2.3] Calculating Limits Using the Limit Laws<br> </body> </html> 
第2週
9/23,9/25  <html> <body> [2.4] The Precise Definition of a Limit<br> [2.5] Continuity<br> [2.6] Limits at Infinity; Horizontal Asymptotes<br> [2.7] Derivatives and Rates of Change<br> </body> </html> 
第3週
9/30,10/02  <html> <body> [2.8] The Derivative as a Function<br> [3.1] Derivatives of Polynomials and Exponential Functions<br> [3.2] The Product and Quotient Rules<br> [3.3] Derivatives of Trigonometric Functions<br> </body> </html> 
第4週
10/07,10/09  <html> <body> [3.4] The Chain Rule<br> [3.5] Implicit Differentiation<br> 10/7(三) Quiz 1 <br> 10/9(五) 國慶紀念日遇例假日補假 <br> </body> </html> 
第5週
10/14,10/16  <html> <body> [3.5] Implicit Differentiation<br> [3.6] Derivatives of Logarithmic Functions<br> [3.7] Rates of Change in the Natural and Social Sciences(※)<br> [3.8] Exponential Growth and Decay<br> [3.9] Related Rates<br> [3.10] Linear Approximations and Differentials<br> [3.11] Hyperbolic Functions(※)<br> </body> </html> 
第6週
10/21,10/23  <html> <body> 緩衝時間<br> [4.1] Maximum and Minimum Values<br> [4.2] The Mean Value Theorem<br> 10/21(三) Quiz 2 <br> </body> </html> 
第7週
10/28,10/30  <html> <body> [4.3] How Derivatives Affect the Shape of a Graph<br> [4.4] Indeterminate Forms and L’Hospital’s Rule<br> [4.5] Summary of Curve Sketching<br> [4.6] Graphing with Calculus and Calculators(※)<br> [4.7] Optimization Problems<br> </body> </html> 
第8週
11/04,11/06  <html> <body> [4.8] Newton’s Method(※)<br> [4.9] Antiderivatives<br> [5.1] Areas and Distances<br> 緩衝時間<br> 11/4(三) Quiz 3 <br> 期中考 11/7(六) 09:00∼11:30 考試範圍 1.5∼4.9 (英文命題)<br> </body> </html> 
第9週
11/11,11/13  <html> <body> [5.2] The Definite Integral<br> [5.3] The Fundamental Theorem of Calculus<br> [5.4] Indefinite Integrals and the Net Change Theorem<br> [5.5] The Substitution Rule<br> </body> </html> 
第10週
11/18,11/20  <html> <body> [6.1] Areas Between Curves<br> [6.2] Volumes<br> [6.3] Volumes by Cylindrical Shells<br> [6.4] Work(※)<br> [6.5] Average Value of a Function<br> </body> </html> 
第11週
11/25,11/27  <html> <body> [7.1] Integration by Parts<br> [7.2] Trigonometric Integrals<br> [7.3] Trigonometric Substitution<br> [7.4] Integration of Rational Functions by Partial Fractions<br> </body> </html> 
第12週
12/02,12/04  <html> <body> [7.5] Strategy for Integration<br> [7.6] Integration Using Tables and Computer Algebra Systems(※)<br> [7.7] Approximate Integration(※)<br> [7.8] Improper Integrals<br> [8.1] Arc Length<br> 12/2(三) Quiz 4 <br> </body> </html> 
第13週
12/09,12/11  <html> <body> 緩衝時間<br> [8.2] Area of a Surface of Revolution<br> [8.3] Applications to Physics and Engineering<br> [8.4] Applications to Economics and Biology(※)<br> [8.5] Probability(※)<br> </body> </html> 
第14週
12/16,12/18  <html> <body> [9.1] Modeling with Differential Equations<br> [9.2] Direction Fields and Euler's Method <br> [9.3] Separable Equations<br> [9.4] Models for Population Growth<br> 12/16(三) Quiz 5 <br> </body> </html> 
第15週
12/23,12/25  <html> <body> [9.5] Linear Equations<br> [9.6] Predator-Prey Systems(※)<br> 緩衝時間<br> </body> </html> 
第16週
12/30,1/01  <html> <body> [10.1] Curves Defined by Parametric Equations<br> [10.2] Calculus with Parametric Curves<br> 1/1(五) 開國紀念日放假一天<br> </body> </html> 
第17週
1/06,1/08  <html> <body> [10.3] Polar Coordinates<br> [10.4] Areas and Lengths in Polar Coordinates<br> [10.6] Conic Sections in Polar Coordinates<br> 緩衝時間<br> 1/6(三) Quiz 6 <br> 期末考 1/9(六) 09:00∼11:30 考試範圍 5.1∼10.6 (英文命題)<br> </body> </html>