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
化學工程學系  
授課教師
王藹農 
課號
MATH1201 
課程識別碼
201 101A1 
班次
07 
學分
全/半年
全年 
必/選修
必修 
上課時間
星期三7,8,9(14:20~17:20)星期五1,2(8:10~10:00) 
上課地點
新304新304 
備註
統一教學.大二以上限20人.三9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/1031MATH1201_07 
課程簡介影片
 
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課程概述

待補 

課程目標
待補 
課程要求
待補 
Office Hours
 
參考書目
Calculus Early Transcendentals 7th edition, James Stewart 
指定閱讀
待補 
評量方式
(僅供參考)
 
No.
項目
百分比
說明
1. 
Midterm(期中考) 
40% 
統一教學 
2. 
Final(期末考) 
40% 
統一教學 
3. 
Homework 
10% 
五12上課給題目、點人上台回答 
4. 
pre-final(模擬考) 
10% 
 
 
課程進度
週次
日期
單元主題
第1週
9/17,9/19  1. Functions and Models<br>  [1.5] Exponential Functions<br>  [1.6] Inverse Functions and Logarithms<br> 2. Limits and Derivatives<br>  [2.1] The Tangent and Velocity Problems<br>  [2.2] The Limit of a Function 
第2週
9/24,9/26  2. Limits and Derivatives<br>  [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 
第3週
10/01,10/03  2. Limits and Derivatives<br>  [2.7] Derivatives and Rates of Change<br>  [2.8] The Derivative as a Function<br> 3. Differentiation Rules<br>  [3.1] Derivatives of Polynomials and Exponential Functions<br>  [3.2] The Product and Quotient Rules 
第4週
10/08,10/10  3. Differentiation Rules<br>  [3.3] Derivatives of Trigonometric Functions<br>  [3.4] The Chain Rule<br> 10/10國慶日放假 
第5週
10/15,10/17  3. Differentiation Rules<br>  [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 
第6週
10/22,10/24  3. Differentiation Rules<br>  [3.11] Hyperbolic Functions<br> 4. Applications of Differentiation<br>  [4.1] Maximum and Minimum Values 
第7週
10/29,10/31  4. Applications of Differentiation<br>  [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 
第8週
11/05,11/07, 11/08  4. Applications of Differentiation<br>  [4.6] Graphing with Calculus and Calculators(※)<br>  [4.7] Optimization Problems<br>  [4.8] Newton’s Method(※)<br>  [4.9] Antiderivatives<br> <b>11/8(六)期中考,時間:09:00-11:30, 考試範圍 1.5-4.9,英文命題</b> 
第9週
11/12,11/14  5. Integrals<br>  [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 
第10週
11/19,11/21  5. Integrals<br>  [5.5] The Substitution Rule<br> 6. Applications of Integration<br>  [6.1] Areas Between Curves<br>  [6.2] Volumes<br>  [6.3] Volumes by Cylindrical Shells 
第11週
11/26,11/28  6. Applications of Integration<br>  [6.4] Work(※)<br>  [6.5] Average Value of a Function<br> 7. Techniques of Integration<br>  [7.1] Integration by Parts<br>  [7.2] Trigonometric Integrals 
第12週
12/03,12/05  7. Techniques of Integration<br>  [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 
第13週
12/10,12/12  7. Techniques of Integration<br>  [7.8] Improper Integrals<br> 8. Further Applications of Integration<br>  [8.1] Arc Length 
第14週
12/17,12/19  8. Further Applications of Integration<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> 9. Differential Equations<br>  [9.1] Modeling with Differential Equations 
第15週
12/24,12/26  9. Differential Equations<br>  [9.3] Separable Equations<br>  [9.4] Models for Population Growth<br>  [9.5] Linear Equations<br> 10. Parametric Equations and Polar Coordinates<br>  [10.1] Curves Defined by Parametric Equations 
第16週
12/31,1/02  10. Parametric Equations and Polar Coordinates<br>  [10.2] Calculus with Parametric Curves<br>  [10.3] Polar Coordinates 
第17週
1/07,1/09  10. Parametric Equations and Polar Coordinates<br>  [10.4] Areas and Lengths in Polar Coordinates<br>  [10.6] Conic Sections in Polar Coordinates<br> <b>1/10(六)期末考,時間:13:30-16:00,考試範圍:5.1-10.6,英文命題