課程名稱 |
微積分甲下 Calculus (general Mathematics) (a)(2) |
開課學期 |
106-2 |
授課對象 |
地理環境資源學系 |
授課教師 |
羅得恩 |
課號 |
MATH1202 |
課程識別碼 |
201E101A2 |
班次 |
06 |
學分 |
4.0 |
全/半年 |
全年 |
必/選修 |
必修 |
上課時間 |
星期三8,9,10(15:30~18:20)星期五1,2(8:10~10:00) |
上課地點 |
新202新202 |
備註 |
本課程以英語授課。統一教學.大二以上限20人.三10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/1062MATH1202_06 |
課程簡介影片 |
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核心能力關聯 |
核心能力與課程規劃關聯圖 |
課程大綱
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課程概述 |
This course is a continuation of Calculus 1. Topics that will be covered: sequences and series, vector functions, partial derivatives, multiple integrals, and vector calculus. |
課程目標 |
(1) Become a competent user of further topics in calculus.
(2) Develop problem-solving skills, especially in formulating verbal descriptions as mathematical problems and in constructing long, multi-step solutions.
(3) Develop ability to write well-organized, coherent solutions to problems. |
課程要求 |
待補 |
預期每週課後學習時數 |
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Office Hours |
每週五 15:00~16:00 每週四 13:00~14:00 |
指定閱讀 |
Stewart, Calculus: Early Transcendentals, 8th Ed.
Sections:
11.1-11.11
12.6
13.1-13.3
14.1-14.8
15.1-15.9
16.1-16.10 |
參考書目 |
Stewart, Calculus: Early Transcendentals, 8th Ed. (metric version) |
評量方式 (僅供參考) |
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週次 |
日期 |
單元主題 |
Week 1 |
2/28,3/02 |
Sequences |
Week 2 |
3/07,3/09 |
Series, integral test, comparison tests, alternating series test, estimation theorems. |
Week 3 |
3/14,3/16 |
Absolute and conditional convergence, ratio test, root test, functions as power series |
Week 4 |
3/21,3/23 |
Taylor and Maclaurin series, applications of Taylor polynomials. |
Week 5 |
3/28,3/30 |
Cylinders, quadric surfaces, vector valued functions and space curves, derivatives and integrals of vector valued functions |
Week 7 |
4/11,4/13 |
Arc length, curvature, tangent-normal-binormal vectors, functions of two variables |
Week 8 |
4/18,4/20 |
Partial derivatives, Partial differential equations, tangent plane and linearization, differentials. |
Week 9 |
4/25,4/27 |
Gradient and directional derivatives, maximum and minimum values, saddle points, Lagrange multipliers |
Week 10 |
5/02,5/04 |
Review for the midterm |
Week 11 |
5/09,5/11 |
Double integrals over rectangles and general regions, double integrals in polar coordinates |
Week 12 |
5/16,5/18 |
Applications of double integrals, surface area, triple integrals |
Week 13 |
5/23,5/25 |
Triple integrals in cylindrical and spherical coordinates, change of variables |
Week 14 |
5/30,6/01 |
Vector fields, Line integrals. |
Week 15 |
6/06,6/08 |
Green's theorem, curl and divergence. |
Week 16 |
6/13,6/15 |
Parametric surfaces, surface integrals, stokes' theorem, divergence theorem |
Week 17 |
6/20,6/22 |
Review |
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