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課程名稱 |
偏微分方程式一
Partial Differential Equations (Ⅰ) |
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開課學期 |
106-1 |
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授課對象 |
理學院 應用數學科學研究所 |
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授課教師 |
陳逸昆 |
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課號 |
MATH5218 |
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課程識別碼 |
221 U0330 |
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班次 |
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學分 |
3.0 |
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全/半年 |
半年 |
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必/選修 |
必修 |
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上課時間 |
星期二3,4(10:20~12:10)星期四6(13:20~14:10) |
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上課地點 |
天數302天數302 |
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備註 |
研究所基礎課。
總人數上限：40人
外系人數限制：10人 |
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課程網頁 |
http://www.math.ntu.edu.tw/~jnwang/courses/pde2015/ |
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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 |
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課程大綱
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課程概述 |
This is a requirement course for graduate student in math major. In this semester, we shall cover the the basic theories for elliptic equations, evolution equation and hyperbolic equations. If time is enough, we shall start the Lp theory for the construction of weak solutions. |
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課程目標 |
We shall mostly follow the reference [1]. In this semester, we aim to cover chapter 2, 3 and part of chapter 4 and 5. In the end of the semester, we will introduce Sobolev embedding theorem if time is allowed. |
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課程要求 |
Students need to do home works and take four exams. |
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預期每週課後學習時數 |
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Office Hours |
另約時間 |
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參考書目 |
[1] Partial Differential equations by Lawrence C. Evans.
[2] Elliptic Partial Differential Equations of Second Order by D. Gilbarg and N. s. Trudinger
[3] Elliptic Partial Differential Equations. Courant Lecture Notes in Mathematics, 1997. by Q. Han and F.H. Lin, |
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指定閱讀 |
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評量方式
(僅供參考) |
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