課程資訊
課程名稱
微積分甲上
CALCULUS (GENERAL MATHEMATICS) (A)(1) 
開課學期
98-1 
授課對象
數學系  
授課教師
李白飛 
課號
MATH1201 
課程識別碼
201 101A1 
班次
07 
學分
全/半年
全年 
必/選修
必帶 
上課時間
星期二5,6(12:20~14:10)星期四5,6,9(12:20~17:20) 
上課地點
新103新103 
備註
四9為實習課.
限本系所學生(含輔系、雙修生)
總人數上限:80人 
Ceiba 課程網頁
http://ceiba.ntu.edu.tw/981phlee 
課程簡介影片
 
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課程概述

1. Limits and Continuity. 2. Differentiation. 3. Transcendental Functions. 4. Applications of Differentiation. 5. Integration. 6. Techniques of Integration. 7, Applications of Integration. 8. Parametric Curves and Polar Curves. 

課程目標
A relatively rigorous introduction of differentiation and integration of functions of a single variable and their applications to geometry and physics. 
課程要求
None. 
Office Hours
 
參考書目
Textbook:R. A. Adams, Calculus, A complete Course. 
指定閱讀
 
評量方式
(僅供參考)
 
No.
項目
百分比
說明
1. 
Mid-Term Examination 
40% 
 
2. 
Final Examination 
40% 
 
3. 
Biweekly Tests 
20% 
 
 
課程進度
週次
日期
單元主題
Week 1
9/15,9/17  Limits of Sequences. 
Week 2
9/22,9/24  Limits of Functions. Completeness Axiom. 
Week 3
9/29,10/01  Continuous Functions. Differentiation Rules. 
Week 4
10/06,10/08  Chain Rule. Implicit Differentiation. Related Rates. 
Week 5
10/13,10/15  Mean Value Theorem. Extreme Values. Concavity. 
Week 6
10/20,10/22  Graph Sketching. Definite Integral. 
Week 7
10/27,10/29  Properties of Definite Integral. Second Fundamental Theorem of Calculus. 
Week 8
11/03,11/05  First Fundamental Theorem of Calculus. Inverse Functions. Natural Logarithm and Exponential. 
Week 9
11/10,11/12  General Exponentials and Logarithms. Mid-Term Examination. 
Week 10
11/17,11/19  Invese Trigonometric Functions. Method of Substitution. Integration by Parts. 
Week 11
11/24,11/26  Integration of Rational Functions and Functions Reducible to Rational Functions. 
Week 12
12/01,12/03  Integration of Polynomial Functions of Trigonometric Functions. Inverse Trigonometric Substitution. Trapezoid, Midpoint and Simpson's Rules. 
Week 13
12/08,12/10  Areas, Volumes, Arc Lenhth and Surface Areas. 
Week 14
12/15,12/17  Center of Mass. Centroid. Linear Approximations. Taylor Polynomials. Indeterminate Forms. 
Week 15
12/22,12/24  More Indeterminate Forms. Parametric Curves. 
Week 16
12/29,12/31  Arc Length and Areas for Parametric Curves. Polar Curves. 
Week 17
1/05,1/07  Slopes, Areas and Arc Length for Polar Curves. Polar Conics.