課程資訊

CALCULUS (GENERAL MATHEMATICS) (A)(2)

97-2

MATH1202

201 101A2

16

Ceiba 課程網頁
http://ceiba.ntu.edu.tw/972calA2

In this semester, the topics to be covered are
(1) Differential equations
(2) Parametric equations & polar coordinates
(3) Infinite sequences & series
(4) Vectors, vector functions, & geometry of space
(5) Partial derivatives
(6) Multiple integrals
(7) Vector calculus

Discuss basic mathematical techniques in calculus that are fundamental
in science and engineering

(1) Gain reasonably good knowledge for the mathematical topics tought in the class
(2) Your score for the course will be determined totally based on (i) quizs (30 %), (ii) midterm exam. (35 %) and (iii) final exam. (35 %). There will be no makeup exam. whatsoever.

Office Hours

James Stewart, Calculus, 6 Edition

(僅供參考)

 No. 項目 百分比 說明 1. 期中考 35% 2. 期末考 35% 3. 隨堂測驗 30%

 課程進度
 週次 日期 單元主題 第1週 02/20 Differential equations (10.5, 10.2, 10.6) 第1週 02/16 Differential equations (10.1, 10.3, 10.4) 第2週 02/23 Parametric curves & calculus (11.1, 11.2) 第2週 02/27 Exercise session, polar coordinates & calculus (11.3, 11.4) 第3週 03/02 Quiz 1, sequences & series (12.1-12.2) 第3週 03/06 Exercise session & series (12.2) 第4週 03/09 Quiz 2, integral, comparison tests, alternating series, & convergence tests (12.3-12.6) 第4週 03/13 Power series (12.8-12.9) 第5週 03/20 Exercise session 第5週 03/16 Taylor series (12.10) 第6週 03/23 Quiz 3, Vectors, dot product, cross product, & equations of lines and planes (13.1-13.5), vector functions, space curves, & calculus of vector functions (14.1-14.3) 第6週 03/27 functions of several variables, limits, continuity, partial derivatives, tangent planes, linear approximations, & chain rules (15.1-15.5) 第7週 03/30 directional derivatives, gradient vector, & extreme values (15.6, 15.7) 第7週 04/03 No class 第8週 04/10 Review 第8週 04/06 Quiz 4. Lagrange multipliers (15.8) 第9週 04/13 Midterm exam. (Chap. 10-Chap. 15.5) 第9週 04/17 Double integrals, iterated integrals (16.1-16.3) 第10週 04/24 Applications of double integrals (16.5) 第10週 04/20 Double integrals in polar coordinates (16.4) 第11週 05/01 Triple integrals in cylindrical coordinates(16.7) 第11週 04/27 Triple integrals (16.6) 第12週 05/04 Quiz 5. Triple integrals in spherical coordinates (16.8) 第12週 05/08 Change of variables in multiple integrals (16.9) 第13週 05/15 Line integrals & fundamental theorem for line integrals (17.2, 17.3) 第13週 05/11 Quiz 6. Change of variables in multiple integrals (16.9) 第14週 05/22 Parametric surfaces & their areas (17.6) 第14週 05/18 Green's theorem, curl, & divergence (17.4, 17.5) 第15週 05/29 No class 第15週 05/25 Quiz 7. Surface integrals (17.7) 第16週 06/01 Stokes Theorem (17.8) 第16週 06/05 Divergence theorem (17.9) 第17週 06/12 Review 第17週 06/08 Quiz 8, divergence theorem (17.9) 第18週 06/15 Final exam. (Sections 15.6-15.8, Chap. 16 & Chap. 17)