課程資訊
課程名稱
實分析二
Real Analysis (Ⅱ) 
開課學期
99-2 
授課對象
理學院  數學系  
授課教師
夏俊雄 
課號
MATH7202 
課程識別碼
221 U2880 
班次
 
學分
全/半年
半年 
必/選修
選修 
上課時間
星期一1,2(8:10~10:00)星期三3,4(10:20~12:10) 
上課地點
天數102天數102 
備註
總人數上限:50人 
Ceiba 課程網頁
http://ceiba.ntu.edu.tw/992realanalysis 
課程簡介影片
 
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課程概述

This is one of the requirements for math graduate students. This course is supposed to build up strong foundation of modern analysis for students who is going to do analysis-related research. Students from other displines are also welcome if you feel needed. 

課程目標
This semester, we start with the review of differentiation theorem for BV functions. Properties of convex functions, L^p spaces, Sobolev type inequalities, Fourier series will be explored. Different kinds of measures and some basics of functional analysis will also be introduced. If time is allowed, we will also explore some basic theory of calculus of variation and applications to PDEs.  
課程要求
This class only allows students who passed real analysis 1 to take.  
預期每週課後學習時數
 
Office Hours
 
參考書目
Measure and Integral: An Introduction to Real Analysis, Richard Wheeden and Antoni Zygmund
 
指定閱讀
Measure and Integral: An Introduction to Real Analysis, Richard Wheeden and Antoni Zygmund

 
評量方式
(僅供參考)
 
No.
項目
百分比
說明
1. 
Exam 1 
20% 
It covers chapter 7 of the textbook. The exam is scheduled in class on Wednesday, 2nd March. 
2. 
Exam 2 
20% 
in class exam. Monday, 11th April 
3. 
Exam 3 
20% 
in class exam. Monday, 16th May 
4. 
Exam 4 
20% 
in class exam. Monday, 20th June 
5. 
Homework 
20% 
 
 
課程進度
週次
日期
單元主題
第1週
2/21,2/23  review and test