課程資訊
課程名稱
微積分甲上
CALCULUS (GENERAL MATHEMATICS) (A)(1) 
開課學期
99-1 
授課對象
材料科學與工程學系  
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102新102新102 
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/991cal01 
課程簡介影片
 
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課程概述

1. Functions and Models
2. Limits and Derivatives
3. Differentiation Rules
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
Study the process of approximation and its limitation (errors), learn the tools and techniques for analyzing regular mappings with applications, and deepen the understanding of elementary functions. 
課程要求
High School Mathematics 
Office Hours
 
參考書目
TEXTBOOK: 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. 
Midterm Test 
40% 
 
2. 
Final Test 
40% 
 
3. 
Quizzes and homework 
20% 
 
 
課程進度
週次
日期
單元主題
第6週
10/18-10/22  [4.1] Maximum and Minimum Values [4.2] The Mean Value Theorem 
第9週
11/08-11/12  [5.4] Indefinite Integrals and the Net Change Theorem [5.5] The Substitution Rule 
第14週
12/13-12/17  [8.1] Arc Length [8.2] Area of a Surface of Revolution [8.5] Probability (※) 
第17週
01/03-01/07  [10.3] Polar Coordinates [10.4] Areas and Lengths in Polar Coordinates 
第1-2週
09/13-09/17  [2.1] The Tangent and Velocity Problems. [2.2] The Limit of a Function.(LN 1.10) 
第2-1週
09/20-09/24  09/22(三) 中秋節放假一天 
第2-2週
09/20-09/24  [2.3] Calculating Limits Using the Limit Laws. [2.4] The Precise Definition of a Limit.[LN.2.4] 
第3-1週
09/27-10/01  [2.5] Continuity. [2.6] Limits at Infinity; Horizontal Asymptotes. [2.7] Derivatives and Rates of Change.[LN.2.6] 
第3-2週
09/27-10/01  [2.8] The Derivative as a Function. [3.1] Derivatives of Polynomials and Exponential Functions.[LN.2.9] 
第4-1週
10/04-10/08  [3.2] The Product and Quotient Rules. [3.3] Derivatives of Trigonometric Functions.[LN.3.3] 
第4-2週
10/04-10/08  [3.4] The Chain Rule. [3.5] Implicit Differentiation.[LN. 3.6] 
第5-1週
10/11-10/15  [3.6] Derivatives of Logarithm Functions. [3.7] Rates of Change in the Natural and Social Science (※) [3.8] Exponential Growth and Decay. 
第5-2週
10/11-10/15  [3.9] Related Rates [3.10] Linear Approximation and Differentials [3.11] Hyperbolic Functions (※) 
第7-1週
10/25-10/29  [4.3] How Derivatives Affect the Shape of a Graph. [4.4] Indeterminate Forms and L’Hospital’s Rule. 
第7-2週
10/25-10/29  [4.5] Summary of Curve Sketching [4.6] Graphing with Calculus and Calculators [4.7] Optimization Problems 
第8-1週
11/01-11/05  [4.8] Newton’s Method (※) [4.9] Antiderivatives [5.1] Areas and Distances 
第8-2週
11/01-11/05  [5.2] The Definite Integral [5.3] The Fundamental Theorem of Calculus 
第10-1週
11/15-11/19  [6.1] Areas between Curves [6.2] Volumes 
第10-2週
11/15-11/19  [6.3] Volumes by Cylindrical Shells [6.4] Work (※) 
第11-1週
11/22-11/26  [6.5] Average Value of a Function [7.1] Integration by Parts 
第11-2週
11/22-11/26  [7.2] Trigonometric Integrals 
第12-1週
11/29-12/03  [7.3] Trigonometric Substitution 
第12-2週
11/29-12/03  [7.4] Integration of Rational Functions by Partial Fractions 
第13-1週
12/06-12/10  [7.5] Strategy for Integration [7.6] Integration Using Tables and Computer Algebra Systems [7.7] Approximate Integration 
第13-2週
12/06-12/10  [7.8] Improper Integrals 
第15-1週
12/20-12/24  [9.1] Modeling with Differential Equations [9.2] Direction Fields and Euler’s Method 
第15-2週
12/20-12/24  [9.3] Separable Equations [9.4] Models for Population Growth 
第16-1週
12/27-12/31  [9.5] Linear Equations [9.6] Predator-Prey Systems (※) 
第16-2週
12/27-12/31  [10.1] Curves Defined by Parametric Equations [10.2] Calculus with Parametric Curves