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課程名稱 |
偏微分方程導論
INTRODUCTION TO PARTIAL DIFFERENTIAL EQUATIONS |
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開課學期 |
96-2 |
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授課對象 |
理學院 數學系 |
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授課教師 |
陳宜良 |
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課號 |
MATH2206 |
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課程識別碼 |
201 25000 |
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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 |
必帶 |
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上課時間 |
星期二7,8(14:20~16:20)星期四7,8(14:20~16:20) |
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上課地點 |
新303新303 |
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備註 |
請參閱課程大綱。外系同學請於加退選期間加選。
總人數上限：110人 |
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Ceiba 課程網頁 |
http://ceiba.ntu.edu.tw/962pde1 |
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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 |
The contents of this course include
Where Are PDEs Come From
Waves and Diffusions
Reflections and Sources
Boundary Value Problems
Fourier series
Harmonic Functions
Computation of Solutions
Schrödinger Equation |
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課程目標 |
Partial differential equations (PDEs) are basic tools for modeling physical world in the continuum sense. These include wave phenomena, diffusion process, static potential fields, etc.. In addition, PDE models become more and more important in biological sciences and financial engineering in recent years.
In this course, I plan to follow the text book of Walter Strauss to provide a systematic introduction to basic PDE theory. In addition, I will add some physics or finance material for applications. |
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課程要求 |
Calculus I, II, Introduction to ordinary differential equations |
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預期每週課後學習時數 |
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Office Hours |
每週二 14:00~15:00 備註： You may write me an email at
chern@math.ntu.edu.tw |
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指定閱讀 |
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參考書目 |
Walter A. Strauss, Partial Differential Equations, An
Introduction, John Wiley, 1992 |
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評量方式
(僅供參考) |
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週次 |
日期 |
單元主題 |
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Week 1 |
2/19,2/21 |
Sec. 1.1, 1.2, 1.3 & Sec. 1.1, pp.5: 4,7,11,12
& & Sec. 1.2, pp.9: 7,9
& & Sec. 1.3, pp.18: 1,10 |
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