課程資訊
課程名稱
微積分甲上
Calculus (general Mathematics) (a)(1) 
開課學期
103-1 
授課對象
電機工程學系  
授課教師
朱樺 
課號
MATH1201 
課程識別碼
201 101A1 
班次
01 
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102新102新102 
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/1031MATH1201_01 
課程簡介影片
 
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課程概述

上學期:單變數微積分
1. Functions and Models
2. Limits and Derivatives
3. Differentiation Rules
4. Applications of Differentiation
5. Integrals
6. Applications of Integration
7. Techniques of Integration
8. Further Applications of Integration
9. Differential Equations
10. Parametric Equations and Polar Coordinates 

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
待補 
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% 
 
2. 
期末考 
40% 
 
3. 
平時成績(含小考) 
20% 
 
 
課程進度
週次
日期
單元主題
第1週
9/15,9/17,9/19  <html> <head> <title> </title> </head> <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> </body> </html> 
第2週
9/22,9/24,9/26  <html> <head> <title> </title> </head> <body> [2.3] Calculating Limits Using the Limit Laws <br> [2.4] The Precise Definition of a Limit <br> [2.5] Continuity <br> [2.6] Limits at Infinity; Horizontal Asymptotes <br> </body> </html> 
第3週
9/29,10/01,10/03  <html> <head> <title> </title> </head> <body> [2.7] Derivatives and Rates of Change <br> [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> </body> </html> 
第4週
10/06,10/08,10/10  <html> <head> <title> </title> </head> <body> [3.3] Derivatives of Trigonometric Functions <br> [3.4] The Chain Rule <br> 10/10(五)國慶紀念日放假一天 <br> </body> </html> 
第5週
10/13,10/15,10/17  <html> <head> <title> </title> </head> <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> </body> </html> 
第6週
10/20,10/22,10/24  <html> <head> <title> </title> </head> <body> [3.11] Hyperbolic Functions <br> [4.1] Maximum and Minimum Values <br> 緩衝時間 <br> </body> </html> 
第7週
10/27,10/29,10/31  <html> <head> <title> </title> </head> <body> [4.2] The Mean Value Theorem <br> [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> </body> </html> 
第8週
11/03,11/05,11/07  <html> <head> <title> </title> </head> <body> [4.6] Graphing with Calculus and Calculators(※) <br> [4.7] Optimization Problems <br> [4.8] Newton’s Method(※) <br> [4.9] Antiderivatives <br> 緩衝時間 <br> 11/8 (六) 13:30~16:00 期中考(1.5~4.9) </body> </html> 
第9週
11/10,11/12,11/14  <html> <head> <title> </title> </head> <body> [5.1] Areas and Distances <br> [5.2] The Definite Integral <br> [5.3] The Fundamental Theorem of Calculus <br> [5.4] Indefinite Integrals and the Net Change Theorem <br> </body> </html> 
第10週
11/17,11/19,11/21  <html> <head> <title> </title> </head> <body> [5.5] The Substitution Rule <br> [6.1] Areas Between Curves <br> [6.2] Volumes <br> [6.3] Volumes by Cylindrical Shells <br> </body> </html> 
第11週
11/24,11/26,11/28  <html> <head> <title> </title> </head> <body> [6.4] Work(※)<br> [6.5] Average Value of a Function <br> [7.1] Integration by Parts <br> [7.2] Trigonometric Integrals <br> </body> </html> 
第12週
12/01,12/03,12/05  <html> <head> <title> </title> </head> <body> [7.3] Trigonometric Substitution <br> [7.4] Integration of Rational Functions by Partial Fractions <br> [7.5] Strategy for Integration <br> [7.7] Approximate Integration <br> </body> </html> 
第13週
12/08,12/10,12/12  <html> <head> <title> </title> </head> <body> [7.8] Improper Integrals <br> [8.1] Arc Length <br> 緩衝時間 <br> </html> 
第14週
12/15,12/17,12/19  <html> <head> <title> </title> </head> <body> [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> [9.1] Modeling with Differential Equations <br> </html> 
第15週
12/22,12/24,12/26  <html> <head> <title> </title> </head> <body> [9.3] Separable Equations <br> [9.4] Models for Population Growth <br> [9.5] Linear Equations <br> [10.1] Curves Defined by Parametric Equations <br> </html> 
第16週
12/29,12/31,1/02  <html> <head> <title> </title> </head> <body> 緩衝時間 <br> [10.2] Calculus with Parametric Curves <br> [10.3] Polar Coordinates <br> </html> 
第17週
1/05,1/07,1/09  <html> <head> <title> </title> </head> <body> [10.4] Areas and Lengths in Polar Coordinates <br> [10.6] Conic Sections in Polar Coordinates <br> 緩衝時間 <br> 1/10 (六) 13:30~16:00 期末考(5.1~10.6) </html> 
第18週
  餘三班投影片