課程資訊
課程名稱
微積分甲上
CALCULUS (GENERAL MATHEMATICS) (A)(1) 
開課學期
97-1 
授課對象
電機工程學系  
授課教師
朱樺 
課號
MATH1201 
課程識別碼
201 101A1 
班次
01 
學分
全/半年
全年 
必/選修
必修 
上課時間
星期三5,6(12:20~14:10)星期五5,6(12:20~14:10) 
上課地點
新102新102 
備註
統一教學.大二以上限20人.一5為實習課.兼通識A6。
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/971cal01 
課程簡介影片
 
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課程大綱
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課程概述

1. Functions and Models
2. Limits and Derivatives
3. Differentiation Rule
4. Applications of Differentiation
5. Integrals
6. Applications of Integration
7. Techniques of Integration
8. Further Applications of Integration
9. Differential Equations
10. Parametric Equations and Polar Coordinates 

課程目標
After completing this course, students should be well versed in the mathematical language needed for applying the concepts of calculus to numerous applications in science and engineering. They should also be well prepared for courses in differential equations, linear algebra, or advanced calculus. 
課程要求
其它請上微積分統一教學網查詢:http://www.math.ntu.edu.tw/~calb/
課程講義、筆記、勾選習題,請上朱樺老師網站查詢:http://www.math.ntu.edu.tw/~hchu/Calculus/ 
Office Hours
 
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. 
期中考 
40% 
 
2. 
期末考 
40% 
 
3. 
作業 
20% 
小考+作業+演習課表現 
 
課程進度
週次
日期
單元主題
第1週
9/17,9/19  [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
9/24,9/26  [2.3] Calculating Limits Using the Limit Laws [2.4] The Precise Definition of a Limit [2.5] Continuity [2.6] Limits at Infinity; HorizontalAsymptotes 
第3週
10/01,10/03  [2.7] Derivatives and Rates of Change [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
10/08,10/10  [3.4] The Chain Rule [3.5] Implicit Differentiation [3.6] Derivatives of Logarithmic Functions 
第5週
10/15,10/17  [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
10/22,10/24  [4.1] Maximum and Minimum Values [4.2] The Mean Value Theorem [4.3] How Derivatives Affect the Shape of a Graph [4.4] Indeterminate Forms and L’Hospital’s Rule 
第7週
10/29,10/31  [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 
第8週
11/05,11/07  [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 [5.5] The Substitution Rule 
第9週
11/12,11/14  緩衝時間, Midterm Exam 
第10週
11/19,11/21  [6.1] Areas between Curves [6.2] Volumes [6.3] Volumes by Cylindrical Shells [6.4] Work 
第11週
11/26,11/28  [6.5] Average Value of a Function [7.1] Integration by Parts [7.2] Trigonometric Integrals [7.3] Trigonometric Substitution 
第12週
12/03,12/05  [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
12/10,12/12  [7.8] Improper Integrals [8.1] Arc Length [8.2] Area of a Surface of Revolution [8.3] Applications to Physics and Engineering 
第14週
12/17,12/19  [8.4] Applications to Economics and Biology [8.5] Probability [9.1] Modeling with Differential Equations [9.2] Direction Fields and Euler’s Method 
第15週
12/24,12/26  [9.3] Separable Equations [9.4] Models for Population Growth [9.5] Linear Equations [9.6] Predator-Prey Systems 
第16週
12/31,1/02  [10.1] Curves Defined by Parametric Equations [10.2] Calculus with Parametric Curves [10.3] Polar Coordinates [10.4] Areas and Lengths in Polar Coordinates 
第17週
1/07,1/09  緩衝時間 
第18週
1/14,1/16  Final Exam