課程資訊

Calculus (general Mathematics) (a)(2)

105-2

MATH1202

201E101A2

06

4.0

Ceiba 課程網頁
http://ceiba.ntu.edu.tw/1052MATH1202_06

We first summarize what we have learned in the last semester to find the Taylor expansion of a given function. This has tremendous applications in all kinds of engineering. The single variable calculus ends here.

Then we move on to calculus in severable variables. The approach is similar to what we have done in the last semester: limit, derivative, optimization problem by using derivatives (Lagrange multipliers), integrals, then to ``Fundamental Theorem of Calculus.'' The formulas of FTC in two and three variables in the format of Green-Stokes and Divergence Theorems is technical to explain and learn. However, it all says that the net change of a vector function in the interior is exactly the total change (flux) on the boundary, when interpreted in a suitable sense.

1. Taylor expansion
2. Calculus in two and three variables: limit and derivative
3. Optimization problem: Lagrange multipliers
4. Integrals in two and three variables
5. Green-Stokes and divergence theorems.

Single variable calculus: limit, derivative, integral. Idea of linear approximation.

Office Hours

James Stewart: Calculus, Early Transcendentals, 8th Edition, International Metric
Version, 2016.

James Stewart: Calculus, Early Transcendentals, 8th Edition, International Metric
Version, 2016.

Fritz John, Richard Courant: Introduction to Calculus and Analysis (Classics in Mathematics) 1999th Edition. (Available on http://lib.ntu.edu.tw)

(僅供參考)

 No. 項目 百分比 說明 1. Homework 10% 2. Quiz 20% 3. Midterm 35% 4. Final 35%

 課程進度
 週次 日期 單元主題 第7週 4/05,4/07 4/5(Wed) A day off for preparing the midterm. 第9週 4/19,4/21 4.22(Sat) 9:00~11:30 Midterm 11.1~14.8 第17週 6/14,6/16 6/17(Sat) 13:30~16:00 Final 15.1~16.10