課程資訊
課程名稱
 微積分甲下
Calculus (general Mathematics) (a)(2) 
開課學期
 100-2 
授課對象
 物理學系  
授課教師
 李白飛 
課號
 MATH1202 
課程識別碼
 201 101A2 
班次
 06 
學分
 4 
全/半年
 全年 
必/選修
 必帶 
上課時間
 星期一9(16:30~17:20)星期二5,6(12:20~14:10)星期五7,8(14:20~16:20) 
上課地點
 新505新505新505 
備註
 一9為實習課.
限本系所學生(含輔系、雙修生)
總人數上限：80人 
Ceiba 課程網頁
 http://ceiba.ntu.edu.tw/1002phlee 
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課程概述

Infinite Series. Vector Functions and Curves. Partial Differentiation. Multiple Integration. Line integrals and Surface Integrals. Ordinal Differential Equations. 

課程目標
 最新訊息請參考：http://www.math.ntu.edu.tw/home_c.htm 點選【課程】 
課程要求
 Course prerequisite：
Calculus I.
 
預期每週課後學習時數
  
Office Hours
  
指定閱讀
  
參考書目
 Textbook：R. A. Adams, Calculus, a Complete Course. 
評量方式
(僅供參考)
    
課程進度
週次
日期
單元主題
Week 1
 2/20,2/21,2/24  Infinite Sequences. Infinite Series. Convergence Tests for Positive Series. Absolute Convergence and Conditional Convergence.  
Week 2
 3/02,3/3  Power Series. 
Week 3
 3/05,3/06,3/09  Quiz 1. Taylor and MacLaurin Series. The Binomial Series. 
Week 4
 3/12,3/13,3/16  The Cross Product in 3-Space. Vector Functions of One Variable. Curves and Parametrizations. Curvature. 
Week 5
 3/19,3/20,3/23  Improper Integrals. Functions of Several Variables. 
Week 6
 3/26,3/27,3/30  Limits and Continuity. Partial derivatives. Directional Derivatives. Differentialbility and Linear Approximation. Gradients. Chain Rule. Tangent Planes.  
Week 7
 4/02  Review. 
Week 8
 4/09,4/10,4/13  Quiz 2. Higher-Order Derivatives. Taylor Polynomials. Implicit Functions. Extreme Values. 
Week 9
 4/16,4/17,4/20  Lagrange multipliers. Second Derivative Test. Cylindrical and Spherical Coordinates. Parametric Surfaces.  
Week 10
 4/23,4/24,4/27  Quiz 3. Midterm Examination. Double Integrals.  
Week 11
 4/30,5/01,5/04  Integrability of Continuous Functions. Double Integrals in Polar Coordinates. Triple Integrals.  
Week 12
 5/07,5/08,5/11  Change of Vaiables in Triple Integrals. Applications of Multiple Integrals. Line Integrals. 
Week 13
 5/14,5/15,5/18  Quiz 4. Conservative Vector Fields. Green Theorem. Surface Integrals. Divergence and Curl. 
Week 14
 5/21,5/22,5/25  The Divergence Theorem in 3-Space. Stokes Theorem. 
Week 15
 5/28,5/29,6/01  Differential Equations. Solving First-Order Equations. 
Week 16
 6/04,6/05,6/08  Quiz 5. Differential equations of Second Order. Linear Differential Equations of Constant Coefficients. 
Week 17
 6/11,6/12,6/15  Nonhomogeneous Linear Equations. Series Solutions of Differential Equations.