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
電機工程學系  
授課教師
蔡雅如 
課號
MATH1201 
課程識別碼
201 101A1 
班次
04 
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505新304新304 
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:100人 
Ceiba 課程網頁
http://ceiba.ntu.edu.tw/981calculusA04 
課程簡介影片
 
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課程概述

透過課堂講論及實習課演練,學習一維函數的微積分觀念與演算。 

課程目標
上完本課程後,學生能夠熟悉極限的觀念、並將之應用在微分的求導及積分的運算上。學生也會學到各式的微分與積分技巧,並熟悉微分積分的應用。 
課程要求
學生必須上課並出席習題課。每週會勾選習題,學生需練習並繳交這些習題。 
預期每週課後學習時數
 
Office Hours
每週五 15:10~16:10 
參考書目
James Stewart, Calculus Early Transcendentals, 6th edition. 
指定閱讀
 
評量方式
(僅供參考)
 
No.
項目
百分比
說明
1. 
平時成績 
20% 
評分細項請看公佈欄 
2. 
期末考 
40% 
微甲01-05班統一命題 
3. 
期中考 
40% 
微甲01-05班統一命題 
 
課程進度
週次
日期
單元主題
第1週
9/14,9/16,9/18  [1.5] Exponential Functions
[1.6] Inverse Functions and Logarithms
[2.1] The Tangent and Velocity Problems
[2.2] The Limit of a Function 
第2週
9/21,9/23,9/25  [2.3] Calculating Limits Using the Limit Laws
[2.4] The Precise Definition of a Limit
[2.5] Continuity
[2.6] Limits at Infinity; Horizontal Asymptotes
[2.7] Derivatives and Rates of Change 
第3週
9/28,9/30,10/02  [2.8] The Derivative as a Function
[3.1] Derivatives of Polynomials and Exponential Functions

[3.2] The Product and Quotient Rules
[3.3] Derivatives of Trigonometric Functions 
第4週
10/05,10/07,10/09  [3.4] The Chain Rule
[3.5] Implicit Differentiation
[3.6] Derivatives of Logarithmic Functions
[3.7] Rates of Change in the Natural and Social Sciences(※)
[3.8] Exponential Growth and Decay 
第5週
10/12,10/14,10/16  [3.9] Related Rates
[3.10] Linear Approximations and Differentials
[3.11] Hyperbolic Functions(※)
[4.1] Maximum and Minimum Values
[4.2] The Mean Value Theorem 
第6週
10/19,10/21,10/23  Quiz 1
[4.3] How Derivatives Affect the Shape of a Graph
[4.4] Indeterminate Forms and L’Hospital’s Rule
緩衝時間 
第7週
10/26,10/28,10/30  [4.5] Summary of Curve Sketching
[4.6] Graphing with Calculus and Calculators
[4.7] Optimization Problems
[4.8] Newton’s Method(※)
[4.9] Antiderivatives
[5.1] Areas and Distances 
第8週
11/02,11/04,11/06  [5.2] The Definite Integral
[5.3] The Fundamental Theorem of Calculus
[5.4] Indefinite Integrals and the Net Change Theorem
[5.5] The Substitution Rule 
第9週
11/09,11/11,11/13  Quiz 2
[6.1] Areas between Curves
[6.2] Volumes
緩衝時間停課 
第10週
11/16,11/18,11/20  [6.3] Volumes by Cylindrical Shells
[6.4] Work(※)
[6.5] Average Value of a Function
[7.1] Integration by Parts 
第11週
11/23,11/25,11/27  [7.2] Trigonometric Integrals
[7.3] Trigonometric Substitution 
第12週
11/30,12/02,12/04  [7.4] Integration of Rational Functions by Partial Fractions
[7.5] Strategy for Integration
[7.6] Integration Using Tables and Computer Algebra Systems
[7.7] Approximate Integration 
第13週
12/07,12/09,12/11  [7.8] Improper Integrals
緩衝時間 
第14週
12/14,12/16,12/18  Quiz 3
[8.1] Arc Length
[8.2] Area of a Surface of Revolution
[9.1] Modeling with Differential Equations
[9.2] Direction Fields and Euler’s Method 
第15週
12/21,12/23,12/25  [9.3] Separable Equations
[9.4] Models for Population Growth
[9.5] Linear Equations
[9.6] Predator-Prey Systems (※) 
第16週
12/28,12/30,1/01  [10.1] Curves Defined by Parametric Equations
[10.2] Calculus with Parametric Curves
1/1(五) 元旦放假 
第17週
1/04,1/06,1/08  Quiz 4
[10.3] Polar Coordinates
[10.4] Areas and Lengths in Polar Coordinates
緩衝時間