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課程名稱 |
偏微分方程式二
Partial Differential Equations (Ⅱ) |
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開課學期 |
99-2 |
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授課對象 |
理學院 數學研究所 |
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授課教師 |
林太家 |
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課號 |
MATH5219 |
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課程識別碼 |
221 U0340 |
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班次 |
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學分 |
3 |
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全/半年 |
半年 |
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必/選修 |
選修 |
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上課時間 |
星期二2,3,4(9:10~12:10) |
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上課地點 |
天數101 |
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備註 |
研究所基礎課程。
總人數上限：40人 |
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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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為確保您我的權利,請尊重智慧財產權及不得非法影印
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課程概述 |
1. Sobolev Spaces
2. The Calculus of Variations
3. Nonvariational Techniques
4. Nonlinear Evolution Equations |
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課程目標 |
This course is for students to develop ability of analysis and learn abstract theorems of partial differential equations (PDEs). Students are required to be familiar with writing rigorous proofs of mathematical theorems. The main goal of this course is to cultivate the interest and train the research ability of PDEs. |
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課程要求 |
1. Advanced Calculus
2. Complex variables
3. Linear Algebra |
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預期每週課後學習時數 |
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Office Hours |
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指定閱讀 |
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參考書目 |
1. Partial Differential Equations by L.C.Evans, AMS
2. Variational Methods by M. Struwe, Springer-Verlag
3. Nonlinear Evolution Equations by Songmu Zheng, CRC Press |
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評量方式
(僅供參考) |
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No. |
項目 |
百分比 |
說明 |
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1. |
1. Midterm I |
30% |
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2. |
2. Midterm II |
30% |
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3. |
3. Final |
40% |
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