课程大纲
COURSE SYLLABUS
1.
课程代码/名称
Course Code/Title
MAT7067 分析专题
MAT7067 Topics in Analysis
2.
课程性质
Compulsory/Elective
选修 elective
3.
课程学分/学时
Course Credit/Hours
3
4.
授课语言
Teaching Language
英文
English
5.
授课教师
Instructor(s)
刘博辰副教授；苏琳琳助理教授
Associate Prof. Bochen Liu; Assistant Prof. Linlin Su
6.
是否面向本科生开放
Open to undergraduates
or not
是 yes
7.
先修要求
Pre-requisites
Undergraduate courses:
MA301 实变函数，MA302 泛函分析
MA301Real Analysis (Lebesgue theory), MA302Functional Analysis
8.
教学目标
Course Objectives
（如面向 本 科 生开放， 请 注 明 区 分 内容 。 If the course is open to undergraduates, please indicate the
difference.）
介绍分析方向的科研前沿结果，给学生提出好的科研问题，引导他们到一个活跃的、有发展前途的研
究领域。
The course will expose the students to the research front of Analysis, and provide to them good research
problems, leading them to an active and promising research field.
9.
教学方法
Teaching Methods
（如面向本科生开放，请注明区分内容。 If the course is open to undergraduates, please indicate the
difference.）
以教师授课为主，有课堂讨论，全班学生分成几个小组，每个小组做一个科研性质的项目并做演讲。
Lectures by instructors, in-class discussions, students will be asked to do group projects of research nature and
then make presentations.
10.
教学内容
Course Contents
（如面向本科生开放，请注明区分内容。 If the course is open to undergraduates, please indicate the
difference.）
教学内容将是授课教师自己的科研成果以及其他学者的有关结论，整个课程在特定的学期里有一
个主旋律。因而内容随授课人的变化而变化，不同学期讲授的内容也会不同。
The course will be centred on the instructor’s own research results, plus other researchers’ related results.
Therefore, the whole course in a fixed semester has a theme/focus and the content of this course will vary
from instructor to instructor, and from time to time.
11.
课程考核
Course Assessment
（
○
1
考核形式 Form of examination；
○
2
.分数构成 grading policy；
○
3
如面向本科生开放，请注明区分内容。
If the course is open to undergraduates, please indicate the difference.）
The semester grade will be given according to performance in in-class discussions (50%) and in group
projects and presentations (50%).
12.
教材及其它参考资料
Textbook and Supplementary Readings
