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
土木工程學系  
授課教師
陳宏 
課號
MATH1201 
課程識別碼
201 101A1 
班次
13 
學分
全/半年
全年 
必/選修
必帶 
上課時間
星期二7,8,9(14:20~17:20)星期四5,6(12:20~14:10) 
上課地點
新203新203 
備註
統一教學.二9為實習課.
限本系所學生(含輔系、雙修生)
總人數上限:130人 
Ceiba 課程網頁
http://ceiba.ntu.edu.tw/981calculusCV 
課程簡介影片
 
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課程概述

微積分甲統一教學
微積分甲 08-13 班採統一教材、統一課程進度、統一考卷閱卷方式進行。
期中、期末考題目以英文命題。 

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
微積分甲一或單變量微積分 
Office Hours
 
參考書目
 
指定閱讀
James Stewart, Calculus Early Transcendentals, 6th edition
☆微積分甲統一教學網站 
評量方式
(僅供參考)
 
No.
項目
百分比
說明
1. 
Midterm 
40% 
期中考?/?(六)9:00∼11:30 考試範圍?∼? 
2. 
Final 
40% 
期末考?/?(六)9:00∼11:30 考試範圍?∼? 
3. 
Quizzes and homework 
20% 
 
 
課程進度
週次
日期
單元主題
第1週
02/22  [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
03/01  [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
03/08  [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
03/15  [3.4] The Chain Rule [3.5] Implicit Differentiation [3.6] Derivatives of Logarithmic Functions 緩衝時間 
第5週
03/22  [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(※) [4.1] Maximum and Minimum Values 
第6週
03/29  [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
04/05  週一至週三:溫書假 [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
04/12  [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9週
04/19  [5.5] The Substitution Rule [6.1] Areas between Curves [6.2] Volumes [6.3] Volumes by Cylindrical Shells 期中考周 期中考04/?(六)9:00∼11:30 考試範圍?∼? 
第10週
04/26  緩衝時間 [6.4] Work(※) [6.5] Average Value of a Function 
第11週
05/03  [7.1] Integration by Parts [7.2] Trigonometric Integrals [7.3] Trigonometric Substitution 
第12週
05/10  [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
05/17  [7.8] Improper Integrals, [8.1] Arc Length; [8.2] Area of a Surface of Revolution, [10.1] Curves Defined by Parametric Equations 
第14週
05/24  [10.2] Calculus with Parametric Curves [10.3] Polar Coordinates [10.4] Areas and Lengths in Polar Coordinates 
第15週
05/31  [9.1] Modeling with Differential Equations [9.2] Direction Fields and Euler’s Method [9.3] Separable Equations [9.4] Models for Population Growth 
第16週
06/07  [9.5] Linear Equations [9.6] Predator-Prey Systems (※) 1/1(五) 元旦放假 
第17週
06/14  Review 期末考6/?(日)9:00∼11:30 考試範圍?∼?