課程資訊

Calculus (general Mathematics) (b)(2)

108-2

MATH1204

201 101B2

06

3.0

Ceiba 課程網頁
http://ceiba.ntu.edu.tw/1082MATH1204_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. Midterm exam 35% 百分比暫訂 2. Final exam 35% 百分比暫訂 3. Quiz 30% WeBWorK 小考 去除最低的5次成績後平均

 課程進度
 週次 日期 單元主題 第1週 3/3, 3/5 3/3: 9.2 first order linear differential equations 3/5: 助教指導 webwork 操作方法。 ------------------------------------------- 2/19: 9.2 first order linear differential equations 2/21: 10.7 power series 第2週 3/10, 3/12 3/10: 10.7 power series 3/12: completion of 10.7 --------------------------------- 2/26: 10.8 Taylor series 第3週 3/17, 3/19 3/17: 10.8 Taylor series and 10.9 Taylor theorem and examples 3/19: 10.9 (completed) and the second half of 10.10 (applications of Taylor series) ======================= 3/5: 10.9 Taylor theorem and examples 3/7: 10.10 The binomial series and applications of Taylor series 第4週 3/24, 3/26 3/24: 10.10 and 14.1 3/26: 14.2 limit (definition, properties, sandwich theorem, and examples) ============================= 3/12: 14.1, 14.2 3/14: Quiz 1 第5週 3/31, 4/2* 3/31: 14.2 continuity, 14.3 partial derivatives, and 14.4 chain rule 4/2*: no class ============================ 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 4/7, 4/9 4/7: 14.7 Extreme values and saddle points 4/9: 14.5 Directional derivatives and gradient vectors ======================= 3/26: 14.7 Extreme values and saddle points 3/28: directional derivatives and gradient vectors, 發 quiz 1 考卷 第7週 4/14, 4/16 4/14: 14.6 and 14.8 Lagrange multipliers (遠距教學) 4/16: recitation ========================= 溫書假 no class 第8週 4/21, 4/23 4/21: midterm exam 4/23: 遠距教學 distance learning ================================= 4/9 and 4/11: 14.8 Lagrange multipliers 第9週 4/28, 4/30 15.1 ======================== 4/16: 14.5 tangent lines of level curves, and 14.6 tangent planes 4/18: Quiz 2 第10週 15.2 and 15.3 ============================= 4/23: Midterm exam. 4/25: 15.1 Double integrals 第11週 4/30: 15.2 5/2: 發期中考卷 第12週 5/7: 15.3 and 11.3 polar coordinates 5/9: 11.4 and 15.4 第13週 5/14: 15.4 5/16: 演習課 第14週 5/21: 15.8 Substitutions in multiple integrals 5/23: Quiz 3 第15週 5/28: 15.8 Substitutions in multiple integrals and 15.5 triple integrals 5/30: 15.5 triple integrals 第16週 由這行說明開始，包含本週與以下之內容為系統複製去年課程之進度，其目的在提供同學了解往年課程進行之內容與快慢。日後，隨著日期與課程進行，將會逐週進行更新。同學請以最新逐週公布的『課程大綱』為準，進行複習並演練習題。） ====================================== 6/4: 15.7 and 15.8 (second half) 6/6: 15.7 and 15.8 (second half) 第17週 6/11: recitation 6/13: quiz 4. 6/18: final exam