課程資訊
課程名稱
偏微分方程式一
Partial Differential Equations (Ⅰ) 
開課學期
104-1 
授課對象
理學院  數學研究所  
授課教師
王振男 
課號
MATH5218 
課程識別碼
221 U0330 
班次
 
學分
全/半年
半年 
必/選修
選修 
上課時間
星期二3,4(10:20~12:10)星期四6(13:20~14:10) 
上課地點
天數102天數102 
備註
研究所基礎課。
總人數上限:50人
外系人數限制:10人 
課程網頁
http://www.math.ntu.edu.tw/~jnwang/courses/pde2015/ 
課程簡介影片
 
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課程概述

This is a graduate course for students who are interested in the theory of partial differential equations. The main goal of the course is to familiarize students with basic analytic techniques in studying partial differential equations. Unlike the PDE course for undergraduates, we will focus more on the fundamental questions such as existence, uniqueness, regularity, etc. We shall begin with harmonic functions and the Laplace equation. The study of second order elliptic equations is the main theme of the course. In addition, we will also study hyperbolic and parabolic equations.  

課程目標
We will follow closely the book by Jurgen Jost (see below). In the first semester, we plan to cover the first part of the book on some basic properties of elliptic, hyperbolic, parabolic equations. The prerequisites for this course are undergraduate PDE, Advanced Calculus, Real Analysis.  
課程要求
Two exams and weekly homework assignments.
 
預期每週課後學習時數
 
Office Hours
每週二 14:00~16:00 
參考書目
★ L.C. Evans, Partial Differential Equations. Graduate Studies in Mathematics 19, AMS, 2010.
★ F. John, Partial Differential Equations. Springer, New York, 1982.
★ D. Gilbarg and N. Trudinger, Elliptic Partial Differential Equations of Second Order. Springer,
Berlin, 1983.
★ Q. Han and F.H. Lin, Elliptic Partial Differential Equations. Courant Lecture Notes in
Mathematics, 1997.
 
指定閱讀
Jurgen Jost, Partial Differential Equations, 3rd Edition, Graduate Texts in Mathematics 214, Springer 2013. 
評量方式
(僅供參考)
 
No.
項目
百分比
說明
1. 
Midterm 
30% 
Week 9 
2. 
Final  
30% 
Week 18 
3. 
Homework 
40% 
Weekly 
 
課程進度
週次
日期
單元主題
無資料