課程資訊

CALCULUS (GENERAL MATHEMATICS) (A)(2)

98-2

MATH1202

201 101A2

01

Ceiba 課程網頁
http://ceiba.ntu.edu.tw/982calculusA01

☆上課時間：三56 五56 、 實習課時間：一9。
☆各班實習課分組教室：將公告於微積分甲統一教學網站公佈。
☆微積分甲統一教學網站：http://www.math.ntu.edu.tw/~mathcal/a/ 。
☆各班助教Office Hour時間：將公告於微積分甲統一教學網站公佈。
☆習題：習題繳交與否依各授課教師規定；習題解答將於公佈於微積分甲統一教學網站。
☆期中、期末考題目以英文命題。

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

High School Mathematics

Office Hours

James Stewart, Calculus Early Transcendentals, 6th edition

(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 第1週 2/22 11.1 Sequences 11.2 Series 11.3 The Integral Test and Estimates of Sums 第2週 3/1 11.4 The Comparison Tests 11.5 Alternating Series 11.6 Absolute Convergence and the Ratio and Root Tests 第3週 3/8 11.7 Strategy for Testing Series 11.8 Power Series 11.9 Representations of Functions as Power Series 第4週 3/15 11.10 Taylor and Maclaurin Series 11.11 Applications of Taylor Polynomials 第5週 3/22 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 第6週 3/29 14.1 Functions of Several Variables 14.2 Limits and Continuity 14.3 Partial Derivatives 第7週 4/5 14.4 Tangent Planes and Linear Approximations 14.5 The Chain Rule 第8週 4/12 14.6 Directional Derivatives and the Gradient Vector 14.7 Maximum and Minimum Values 14.8 Lagrange Multipliers 第9週 4/19 15.1 Double Integrals over Rectangles 15.2 Iterated Integrals 第10週 4/26 15.3 Double Integrals over General Regions 15.4 Double Integrals in Polar Coordinates 第11週 5/3 15.5 Applications of Double Integrals 15.6 Triple Integrals 15.7 Triple Integrals in Cylindrical Coordinates 第12週 5/10 15.8 Triple Integrals in Spherical Coordinates 15.9 Change of Variables in Multiple Integrals 第13週 5/17 16.1 Vector Fields 16.2 Line Integrals 第14週 5/24 16.3 The Fundamental Theorem for Line Integrals 16.4 Green’s Theorem 第15週 5/31 16.5 Curl and Divergence 16.6 Parametric Surfaces and Their Areas 16.7 Surface Integrals 第16週 6/7 16.8 Stokes’ Theorem 16.9 The Divergence Theorem 第17週 6/14 16.10 Summary