課程大綱

課程資訊

課程名稱	微積分甲下 Calculus (general Mathematics) (a)(2)
開課學期	99-2
授課對象	資訊管理學系
授課教師	張志中
課號	MATH1202
課程識別碼	201 101A2
班次	03
學分	4
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303新103新103
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/992cal03
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課程概述	Please see the webpage http://www.math.ntu.edu.tw/~mathcal/a/
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	Quiz(4 times) 15% Recitation class participation 5% Midterm:40% Final:40%
預期每週課後學習時數
Office Hours
指定閱讀
參考書目	James Stewart, Calculus Early Transcendentals, 6th edition
評量方式 (僅供參考)

課程進度

週次	日期	單元主題
第1週	2/21,2/23,2/25	[11.1] Sequences [11.2] Series [11.3] The Integral Test and Estimates of Sums
第2週	2/28,3/02,3/04	[11.4] The Comparison Tests [11.5] Alternating Series [11.6] Absolute Convergence and the Ratio and Root Tests
第3週	3/07,3/09,3/11	[11.7] Strategy for Testing Series [11.8] Power Series [11.9] Representations of Functions as Power Series
第4週	3/14,3/16,3/18	[11.10] Taylor and Maclaurin Series [11.11] Applications of Taylor Polynomials
第5週	3/21,3/23,3/25	[13.1] Vector Functions and Space Curves [13.2] Derivatives and Integrals of Vector Functions [13.3] Arc Length and Curvature QUIZ 1 (3/21)
第6週	3/28,3/30,4/01	[12.6] Cylinders and Quadric Surfaces [14.1] Functions of Several Variables [14.2] Limits and Continuity [14.3] Partial Derivatives
第7週	4/04,4/06,4/08	[14.4] Tangent Planes and Linear Approximations [14.5] The Chain Rule
第8週	4/11,4/13,4/15	[14.6] Directional Derivatives and the Gradient Vector [14.7] Maximum and Minimum Values
第9週	4/18,4/20,4/22	[14.8] Lagrange Multipliers QUIZ 2 (4/22) *MIDTERM EXAM (4/23)*
第10週	4/25,4/27,4/29	[15.1] Double Integrals over Rectangles [15.2] Iterated Integrals [15.3] Double Integrals over General Regions
第11週	5/02,5/04,5/06	[15.4] Double Integrals in Polar Coordinates [15.5] Applications of Double Integrals [15.6] Triple Integrals
第12週	5/09,5/11,5/13	[15.7] Triple Integrals in Cylindrical Coordinates [15.8] Triple Integrals in Spherical Coordinates [15.9] Change of Variables in Multiple Integrals
第13週	5/16,5/18,5/20	[16.1] Vector Fields [16.2] Line Integrals
第14週	5/23,5/25,5/27	[16.3] The Fundamental Theorem for Line Integrals [16.4] Green's Theorem QUIZ 3 (5/23)
第15週	5/30,6/01,6/03	[16.5] Curl and Divergence [16.6] Parametric Surfaces and Their Areas [16.7] Surface Integrals
第16週	6/06,6/08,6/10	[16.8] Stokes' Theorem [16.9] The Divergence Theorem [16.10] Summary
第17週	6/13,6/15,6/17	[17.1] Second-Order Linear Equations [17.2] Nonhomogeneous Linear Equations QUIZ 4 (6/13) * FINAL EXAM (6/18)*