課程名稱 |
高等微積分優一 Honors Advanced Calculus (Ⅰ) |
開課學期 |
101-1 |
授課對象 |
理學院 數學系 |
授課教師 |
林紹雄 |
課號 |
MATH2207 |
課程識別碼 |
201 49470 |
班次 |
|
學分 |
4 |
全/半年 |
半年 |
必/選修 |
選修 |
上課時間 |
星期二2,3,4(9:10~12:10)星期四3,4(10:20~12:10) |
上課地點 |
天數101天數101 |
備註 |
1.需修過微積分及線性代數,且分數都達B以上。2.高微優可抵必修高微。小班輔導時段:二4 總人數上限:50人 |
Ceiba 課程網頁 |
http://ceiba.ntu.edu.tw/1011ac_1 |
課程簡介影片 |
|
核心能力關聯 |
核心能力與課程規劃關聯圖 |
課程大綱
|
為確保您我的權利,請尊重智慧財產權及不得非法影印
|
課程概述 |
Advanced Calculus is generally regarded as the most basic and solid training for mathematics majored students. In contrast to Calculus, it provides the completely rigorous training in "writing proofs". Also instead of intuition, it is based on general topology and real number system to develop the mathematical analysis. It is the foundation to all analytic methods.
|
課程目標 |
A rigorous introduction to mathematical analysis. We will cover, in the first semester, most of the material in the textbooks written by Apostal and Rudin, from the beginning topology of finite dimensional spaces, multivariable differential calculus, Fourier transforms, toward Lebesgue integrals and Stokes theorem.
|
課程要求 |
1. 準時上課 (含習題課), 無法上課須事先請假.
2. 準時繳交作業.
3. 部分內容可能以閱讀, 報告的形式進行.
4. 準時參加小考, 期中考以及期末考. |
預期每週課後學習時數 |
|
Office Hours |
|
指定閱讀 |
|
參考書目 |
Spivak: Calculus on Manifolds
Courant and John: INtroduction to Calculus and Analysis (I and IIA, IIB) |
評量方式 (僅供參考) |
|
|