課程資訊
課程名稱
微積分甲上
Calculus (general Mathematics) (a)(1) 
開課學期
102-1 
授課對象
科技管理組  
授課教師
朱樺 
課號
MATH1201 
課程識別碼
201 101A1 
班次
13 
學分
全/半年
全年 
必/選修
必修 
上課時間
星期一5,6(12:20~14:10)星期五1,2(8:10~10:00) 
上課地點
新103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:100人 
Ceiba 課程網頁
http://ceiba.ntu.edu.tw/1021caqlculusB 
課程簡介影片
 
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課程概述

課程大綱
1. Limits and continuity,
2. Differentiation,
3. Application of Differentiation,
4. Integration,
5. Application of integrals,
6. Transcendental functions,
7. Techniques of Integration,
8. Infinte Series
9. Function of Several Variables
10. Multiple Integration
11. Vector Analysis 

課程目標
學生能從此課程中學習到微積分的理論與應用 
課程要求
 
Office Hours
每週三 12:20~13:20
每週五 12:20~13:20 備註: 助教Office hour:若要來找助教,請先用email聯絡預約時間。 
參考書目
課本
Calculus: Early Transcendentals 7th edition,
作者: James Stewart 
指定閱讀
 
評量方式
(僅供參考)
 
No.
項目
百分比
說明
1. 
期末考 
30% 
 
2. 
期中考 
25% 
 
3. 
小考二 
15% 
 
4. 
小考一 
15% 
 
5. 
習題 
15% 
 
 
課程進度
週次
日期
單元主題
第1週
09/09,09/13  [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
09/16,09/20  [2.4] The Precise Definition of a Limit [2.5] Continuity; 09/20(五)中秋節調整放假 
第3週
09/23,09/27  [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
09/30,10/04  [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
10/7,10/11  [3.6] Derivatives of Logarithmic Functions [3.7] Rates of Change in the Natural and Social Sciences(※) [3.8] Exponential Growth and Decay [3.9] Related Rates [3.10] Linear Approximations and Differentials [3.11] Hyperbolic Functions(※) 
第6週
10/14,10/18  10/14(一)小考一(暫定); [4.1] Maximum and Minimum Values [4.2] The Mean Value Theorem 
第7週
10/21,10/25  [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
10/28,11/01  [4.8] Newton’s Method(※) [4.9] Antiderivatives [5.1] Areas and Distances [5.2] The Definite Integral [5.3] The Fundamental Theorem of Calculus 
第9週
11/04,11/08  [5.4] Indefinite Integrals and the Net Change Theorem [5.5] The Substitution Rule 
第10週
11/11,11/15  [6.1] Areas Between Curves [6.2] Volumes [6.3] Volumes by Cylindrical Shells [6.4] Work(※); 11/15(五) 本校校慶 停課一天 
第11週
11/18,11/22  [6.5] Average Value of a Function [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
11/25,11/29  [7.5] Strategy for Integration [7.6] Integration Using Tables and Computer Algebra Systems [7.7] Approximate Integration [7.8] Improper Integrals [8.1] Arc Length 
第13週
12/02,12/26  [8.2] Area of a Surface of Revolution [8.3] Applications to Physics and Engineering [8.4] Applications to Economics and Biology(※) [8.5] Probability(※) 
第14週
12/09,12/13  12/09(一)小考二(暫定); [9.1] Modeling with Differential Equations [9.2] Direction Fields and Euler’s Method [9.3] Separable Equations 
第15週
12/16,12/20  [9.4] Models for Population Growth [9.5] Linear Equations [9.6] Predator-Prey Systems (※) 
第16週
12/23,12/27  [10.1] Curves Defined by Parametric Equations [10.2] Calculus with Parametric Curves [10.3] Polar Coordinates 
第17週
2013/12/30,2014/01/03  [10.4] Areas and Lengths in Polar Coordinates [10.6] Conic Sections in Polar Coordinates