課程資訊

Calculus (general Mathematics) (a)(2)

104-2

MATH1202

201 101A2

11

Ceiba 課程網頁
http://ceiba.ntu.edu.tw/1042MATH1202_11

Introduce "Infinite Series", "Vector-Valued Functions", "Functions of Several Variables", "Multiple Integration" and "Vector Analysis".

(1) Understand the relations between series and integration.
(2) Use the operations of "Differentiation and Integration" in R^2 and R^3

Office Hours

10th edition. Calculus/ Larson;Edwards;Shann

(僅供參考)

 No. 項目 百分比 說明 1. 期中考(Midterm Exam) 30% 2. 期末考(Final Exam) 40% 3. 小考(Quiz) 40%

 課程進度
 週次 日期 單元主題 第1週 2/22,2/26 Introduction 9.1 Sequences 9.2 Series and Convergence 9.3 The Integral Test and p-Series 9.4 Comparisons of Series 第2週 2/29,3/04 Peace Memorial Day 9.5 Alternating Series 第3週 3/07,3/11 9.6 The Ratio and Root Tests 9.7 Taylor Polynomials and Approximations 9.8 Power Series 第4週 3/14,3/18 9.9 Representation of Functions by Power Series 9.10 Taylor and Maclaurin Series Quiz 1 (9.1-9.8) 第5週 3/21,3/25 10.2 Plane Curves and Parametric Equations 10.3 Parametric Equations and Calculus 10.4 Polar Coordinates and Polar Graphs 10.5 Area and Arc Length in Polar Coordinates 11.6 Surfaces in Space 11.7 Cylindrical and Spherical Coordinates 12.1 Vector-Valued Function 12.2 Differentiation and Integration of Vector-Valued Functions 12.3 Velocity and Acceleration 12.4 Tangent Vectors and Normal Vectors 第6週 3/28,4/01 12.5 Arc Length and Curvature Holiday 第7週 4/04,4/08 Holiday 13.1 Introduction to Functions of Several Variables 13.2 Limits and Continuity 13.3 Partial Derivatives 13.4 Differentials 第8週 4/11,4/15 13.4 Differentials 13.5 Chain Rules for Functions of Several Variables Quiz 2(04/11,Ch9-Ch12) 第9週 4/18,4/22 Midterm Exam 04/18(Ch9-13.5) 13.6 Directional Derivatives and Gradients 第10週 4/25,4/29 13.6 Directional Derivatives and Gradients 13.7 Tangent Planes and Normal Lines 13.8 Extrema of Functions of Two Variables 第11週 5/02,5/06 13.8 Extrema of Functions of Two Variables 13.9 Applications of Extrema 13.10 Lagrange Multipliers 第12週 5/09,5/13 14.1 Iterated Integrals and Area in the Plane 14.2 Double Integrals and Volume 第13週 5/16,5/20 Quiz 3(05/16,13.6-13.10) 14.3 Change of Variables: Polar Coordinates 14.5 Surface Area 第14週 5/23,5/27 14.6 Triple Integrals and Applications 14.7 Triple Integrals in Other Coordinates 14.8 Change of Variables: Jacobians 第15週 5/30,6/03 15.1 Vector Fields 15.2 Line Integrals 第16週 6/06,6/10 Quiz 4(06/06,Ch14) 15.3 Conservative Vector Fields and Independence of Path 15.4 Green’s Theorem 第17週 6/13,6/17 15.4 Green’s Theorem 15.5 Parametric Surfaces 15.6 Surface Integrals 15.7 Divergence Theorem 15.8 Stokes’s Theorem 第18週 6/20,6/24 Final Exam(06/2013.5-15.8)