課程資訊
課程名稱
 微積分甲下
Calculus (general Mathematics) (a)(2) 
開課學期
 106-2 
授課對象
 化學系  
授課教師
 羅得恩 
課號
 MATH1202 
課程識別碼
 201E101A2 
班次
 06 
學分
 4.0 
全/半年
 全年 
必/選修
 必修 
上課時間
 星期三8,9,10(15:30~18:20)星期五1,2(8:10~10:00) 
上課地點
 新202新202 
備註
 本課程以英語授課。統一教學.大二以上限20人.三10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/1062MATH1202_06 
課程簡介影片
 
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課程概述

This course is a continuation of Calculus 1. Topics that will be covered: sequences and series, vector functions, partial derivatives, multiple integrals, and vector calculus. 

課程目標
 (1) Become a competent user of further topics in calculus.
(2) Develop problem-solving skills, especially in formulating verbal descriptions as mathematical problems and in constructing long, multi-step solutions.
(3) Develop ability to write well-organized, coherent solutions to problems. 
課程要求
 待補 
預期每週課後學習時數
  
Office Hours
 每週五 15:00~16:00
每週四 13:00~14:00 
指定閱讀
 Stewart, Calculus: Early Transcendentals, 8th Ed.
Sections:
11.1-11.11
12.6
13.1-13.3
14.1-14.8
15.1-15.9
16.1-16.10 
參考書目
 Stewart, Calculus: Early Transcendentals, 8th Ed. (metric version) 
評量方式
(僅供參考)
    
課程進度
週次
日期
單元主題
Week 1
 2/28,3/02  Sequences 
Week 2
 3/07,3/09  Series, integral test, comparison tests, alternating series test, estimation theorems. 
Week 3
 3/14,3/16  Absolute and conditional convergence, ratio test, root test, functions as power series 
Week 4
 3/21,3/23  Taylor and Maclaurin series, applications of Taylor polynomials. 
Week 5
 3/28,3/30  Cylinders, quadric surfaces, vector valued functions and space curves, derivatives and integrals of vector valued functions 
Week 7
 4/11,4/13  Arc length, curvature, tangent-normal-binormal vectors, functions of two variables 
Week 8
 4/18,4/20  Partial derivatives, Partial differential equations, tangent plane and linearization, differentials. 
Week 9
 4/25,4/27  Gradient and directional derivatives, maximum and minimum values, saddle points, Lagrange multipliers 
Week 10
 5/02,5/04  Review for the midterm 
Week 11
 5/09,5/11  Double integrals over rectangles and general regions, double integrals in polar coordinates 
Week 12
 5/16,5/18  Applications of double integrals, surface area, triple integrals 
Week 13
 5/23,5/25  Triple integrals in cylindrical and spherical coordinates, change of variables 
Week 14
 5/30,6/01  Vector fields, Line integrals. 
Week 15
 6/06,6/08  Green's theorem, curl and divergence. 
Week 16
 6/13,6/15  Parametric surfaces, surface integrals, stokes' theorem, divergence theorem 
Week 17
 6/20,6/22  Review