課程資訊
課程名稱
微積分甲下
CALCULUS (GENERAL MATHEMATICS) (A)(2) 
開課學期
97-2 
授課對象
化學工程學系  
授課教師
張秋俊 
課號
MATH1202 
課程識別碼
201 101A2 
班次
10 
學分
全/半年
全年 
必/選修
必修 
上課時間
星期三7,8,9(14:20~17:20)星期五1,2(8:10~10:00) 
上課地點
新202新202 
備註
統一教學.大二以上限20人.三9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 
 
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課程概述

11. Infinite Sequences and Series
11.1 Sequences
11.2 Series
11.3 The Integral Test and Estimates of Sums
11.4 The Comparison Tests
11.5 Alternating Series
11.6 Absolute Convergence and the Ratio and Root Tests
11.7 Strategy for Testing Series
11.8 Power Series
11.9 Representations of Functions as Power Series
11.10 Taylor and Maclaurin Series
11.11 Applications of Taylor Polynomials
13. Vector Functions
13.1 Vector Functions and Space Curves
13.2 Derivatives and Integrals of Vector Functions
13.3 Arc Length and Curvature
13.4 Motion in Space: Velocity and Acceleration
14. Partial Derivatives
14.1 Functions of Several Variables
14.2 Limits and Continuity
14.3 Partial Derivatives
14.4 Tangent Planes and Linear Approximations
14.5 The Chain Rule
14.6 Directional Derivatives and the Gradient Vector
14.7 Maximum and Minimum Values
14.8 Lagrange Multipliers
15. Multiple Integrals
15.1 Double Integrals over rectangles
15.2 Iterated Integrals
15.3 Double Integrals over General Regions
15.4 Double Integrals in Polar Coordinates
15.5 Applications of Double Integrals
15.6 Triple Integrals
15.7 Triple Integrals in Cylindrical Coordinates
15.8 Triple Integrals in Spherical Coordinates
15.9 Change of Variables in Multiple Integrals
16. Vector Calculus
16.1 Vector Fields
16.2 Line Integrals
16.3 The Fundamental Theorem for Line Integrals
16.4 Green's Theorem
16.5 Curl and Divergence
16.6 Parametric Surfaces and Their Areas
16.7 Surface Integrals
16.8 Stokes' Theorem
16.9 The Divergence Theorem
16.10 Summary
 

課程目標
Study sequences and series to understand the process of approximation; learn the skills estimate and control the errors of approximation; acquaint with the tools and techniques for analyzing regular multi-variable mappings and vector fields.

08-12班:上課時間:三78 五12 、 實習課時間:三9
13班: 上課時間:二78 四56 、 實習課時間:二9
 
課程要求
High School Mathematics  
預期每週課後學習時數
 
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. 
Midterm exam: 
40% 
 
2. 
Final exam 
40% 
 
3. 
Quizzes and/or homework 
20% 
 
 
課程進度
週次
日期
單元主題