課程資訊
課程名稱
微積分甲上
Calculus (general Mathematics) (a)(1) 
開課學期
105-1 
授課對象
科技管理組  
授課教師
劉瓊如 
課號
MATH1201 
課程識別碼
201 101A1 
班次
12 
學分
全/半年
全年 
必/選修
必修 
上課時間
星期一6,7(13:20~15:10)星期五1,2(8:10~10:00) 
上課地點
新203新203 
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:110人 
Ceiba 課程網頁
http://ceiba.ntu.edu.tw/1051MATH1201_12 
課程簡介影片
 
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課程概述

1. Limits and continuity
2. Differentiation
3. Mean-value theorem and applications
4. Integration
5. Applications of the integral
6. The transcendental functions
7. Techniques of integration
8. Polar coordinate 

課程目標
基礎微積分的知識建構,計算能力與思考的培養,與應用的推廣. 
課程要求
基礎高中數學 
Office Hours
 
參考書目
Calculus: Early Transcendentals 8th edition, 作者: James Stewart 
指定閱讀
待補 
評量方式
(僅供參考)
   
課程進度
週次
日期
單元主題
第1週
9/12,9/16  1.4Exponential Functions 1.5Inverse Functions and Logarithms 9/16(五)中秋節調整放假 
第2週
9/19,9/23  2.1 The Tangent and Velocity Problems 2.2 The Limit of a Function 2.3 Calculating Limits Using the Limit Laws 2.4 The Precise Definition of a Limit 
第3週
9/26,9/30  2.5 Continuity 2.6 Limits at Infinity; Horizontal Asymptotes 2.7 Derivatives and Rates of Change 2.8 The Derivative as a Function 
第4週
10/03,10/07  3.1 Derivatives of Polynomials and Exponential Functions 3.2 The Product and Quotient Rules 3.3 Derivatives of Trigonometric Functions 3.4 The Chain Rule 
第5週
10/10,10/14  3.5 Implicit Differentiation 3.6 Derivatives of Logarithmic Functions 3.8 Exponential Growth and Decay 3.9 Related Rates 
第6週
10/17,10/21  3.10 Linear Approximations and Differentials 4.1 Maximum and Minimum Values 4.2 The Mean Value Theorem 
第7週
10/24,10/28  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 
第8週
10/31,11/04  4.7 Optimization Problems 4.9 Antiderivatives 
第9週
11/07,11/11  5.1 Areas and Distances 5.2 The Definite Integral 5.3 The Fundamental Theorem of Calculus 5.4 Indefinite Integrals and the Net Change Theorem 
第10週
11/14,11/18  5.5 The Substitution Rule 6.1 Areas Between Curves 6.2 Volume 6.3 Volumes by Cylindrical Shells 
第11週
11/21,11/25  6.5 Average Value of a Function 7.1 Integration by Parts 7.2 Trigonometric Integrals 7.3 Trigonometric Substitution 
第12週
11/28,12/02  7.4 Integration of Rational Functions by Partial Fractions 7.5 Strategy for Integration 7.8 Improper Integrals 
第13週
12/05,12/09  8.1 Arc Length 8.2 Area of a Surface of Revolution 8.3 Applications to Physics and Engineering 
第14週
12/12,12/16  9.1 Modeling with Differential Equations 9.2 Direction Fields and Euler''s Method 9.3 Separable Equations 
第15週
12/19,12/23  9.4 Models for Population Growth 9.5 Linear Equations 9.6 Predator-Prey Systems 
第16週
12/26,12/30  10.1 Curves Defined by Parametric Equations 10.2 Calculus with Parametric Curves 10.3 Polar Coordinates 
第17週
1/02,1/06  10.4 Areas and Lengths in Polar Coordinates 10.6 Conic Sections in Polar Coordinates 緩衝時間