課程資訊

Calculus (general Mathematics) (b)(2)

107-2

MATH1204

201 101B2

06

3.0

Ceiba 課程網頁
http://ceiba.ntu.edu.tw/1072MATH1204_06

One variable calculus: sequences and series
Multi-variable calculus: limit, continuity, differentiation, integration, and their applications including elementry probability.

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.

Calculus of first semester

Office Hours

Textbook.
Thomas' calculus, early transcendentals. 13th edition in SI units.
Revised by M. D. Weir and J. Hass. Pearson 2016. 東華書局/新月圖書 代理

(僅供參考)

 No. 項目 百分比 說明 1. Quiz 15% (暫定) 於 Midterm 前考2次，擇較優者計分 2. Midterm exam 35% 3. Quiz 15% (暫定) 於 Midterm 後考2次，擇較優者計分 4. Final exam 35%

 課程進度
 週次 日期 單元主題 第1週 2/19,2/21 2/19: 9.2 first order linear differential equations 2/21: 10.7 power series 第2週 2/26,2/28 2/26: 10.8 Taylor series 第3週 3/05,3/07 3/5: 10.9 Taylor theorem and examples 3/7: 10.10 The binomial series and applications of Taylor series 第4週 3/12,3/14 3/12: 14.1, 14.2 3/14: Quiz 1 第5週 3/19,3/21 3/19: 14.3, 14.4 3/21: 14.4 the most general form of chain rule and some examples, and implicit differentiation revisited 第6週 3/26,3/28 3/26: 14.7 Extreme values and saddle points 3/28: directional derivatives and gradient vectors, 發 quiz 1 考卷 第7週 4/02,4/04 溫書假 no class 第8週 4/09,4/11 4/9 and 4/11: 14.8 Lagrange multipliers 第9週 4/16,4/18 4/16: 14.5 tangent lines of level curves, and 14.6 tangent planes 4/18: Quiz 2 第10週 4/23,4/25 4/23: Midterm exam. 4/25: 15.1 Double integrals 第11週 4/30,5/02 4/30: 15.2 5/2: 發期中考卷 第12週 5/07,5/09 5/7: 15.3 and 11.3 polar coordinates 5/9: 11.4 and 15.4 第13週 5/14,5/16 5/14: 15.4 5/16: 演習課 第14週 5/21,5/23 5/21: 15.8 Substitutions in multiple integrals 5/23: Quiz 3 第15週 5/28,5/30 5/28: 15.8 Substitutions in multiple integrals and 15.5 triple integrals 5/30: 15.5 triple integrals 第16週 6/04,6/06 6/4: 15.7 and 15.8 (second half) 6/6: 15.7 and 15.8 (second half) 第17週 6/11,6/13 6/11: recitation 6/13: quiz 4. 6/18: final exam