1
课程详述
COURSE SPECIFICATION
以下课程信息可能根据实际授课需要或在课程检讨之后产生变动。如对课程有任何疑问，请联
系授课教师。
The course information as follows may be subject to change, either during the session because of unforeseen
circumstances, or following review of the course at the end of the session. Queries about the course should be
directed to the course instructor.
1.
课程名称 Course Title
偏微分方程专题
Topics in Partial Differential Equations
2.
授课院系
Originating Department
数学系 Department of Mathematics
3.
课程编号
Course Code
MAT7045
4.
课程学分 Credit Value
3
5.
课程类别
Course Type
专业选修课 Major Elective Courses
6.
授课学期
Semester
春季 Spring
7.
授课语言
Teaching Language
中英双语 English & Chinese
8.
授课教师、所属学系、联系方
式（如属团队授课，请列明其
他授课教师）
Instructor(s), Affiliation&
Contact
（For team teaching, please list
all instructors）
数学系 王学锋 教授 wangxf@sustc.edu.cn 88018754 慧园 3 栋 530
数学系 苏琳琳 助理教授 sull@sustc.edu.cn 88018679 慧园 3 栋 403
Department of Mathematics; Xuefeng Wang, Professor; Room 530, Block 3, Wisdom
Valley
Department of Mathematics; Linlin Su, Assistant Professor; Room 403, Block 3,
Wisdom Valley
9.
实验员/助教、所属学系、联系
方式
Tutor/TA(s), Contact
无 NA
10.
选课人数限额(可不填)
Maximum Enrolment
2
（Optional）
授课方式
Delivery Method
讲授
Lectures
习题/辅导/讨论
Tutorials
实验/实习
Lab/Practical
其它(请具体注明)
Other（Please specify）
总学时
Total
11.
学时数
Credit Hours
48
48
12.
先修课程、其它学习要求
Pre-requisites or Other
Academic Requirements
至 少 选 过 本 科 生 MA303 偏 微 分 方 程 课 程 ； 最 好 选 过 研 究 生
MAT7022&7023 偏微分方程(上、下)
MA303 Partial Differential Equations (pre-requisite)；MAT7022&7023 Partial
Differential Equations I &II (preferred)
13.
后续课程、其它学习规划
Courses for which this course
is a pre-requisite
14.
其它要求修读本课程的学系
Cross-listing Dept.
教学大纲及教学日历 SYLLABUS
15.
教学目标 Course Objectives
介绍偏微分方程的科研前沿结果，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 partial differential equations, and provide to
them good research problems， leading them to an active and promising research field.
16.
预达学习成果 Learning Outcomes
通过本门课的学习，学生将了解该研究领域的前沿结果和科研问题，掌握该领域里的基本研究方法，并对所完成的小组项
目问题有深入的了解。
Through this course, students will learn about the cutting-edge results and major open problems in
this field, will master the fundamental methods, and have an in-depth understanding of the topics
of the group projects.
17.
课程内容及教学日历 （如授课语言以英文为主，则课程内容介绍可以用英文；如团队教学或模块教学，教学日历须注明
主讲人）
Course Contents (in Parts/Chapters/Sections/Weeks. Please notify name of instructor for course section(s), if
this is a team teaching or module course.)
3
教学内容将是授课教师自己的科研成果及其他人的有关结论, 使得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。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。
The course will be centred on the instructor’s own research results, plus other researchers’ related results
，so that the whole course in a fixed semester has a theme/focus. Thus the content of the course will vary
from instructor to instructor, and time to time. Lectures by instructors, in-class discussions, students will be
asked to do group projects of research nature and then make presentations.
18.
教材及其它参考资料 Textbook and Supplementary Readings
课程评估 ASSESSMENT
19.
评估形式
Type of
Assessment
评估时间
Time
占考试总成绩百分比
% of final
score
违纪处罚
Penalty
备注
Notes
出勤 Attendance
课堂表现
Class
Performance
50%
课堂参与讨论
小测验
Quiz
课程项目 Projects
50%
项目完成情况+演讲表现
平时作业
Assignments
期中考试
Mid-Term Test
期末考试
Final Exam
期末报告
Final
Presentation
4
其它（可根据需要
改写以上评估方
式）
Others (The
above may be
modified as
necessary)
20.
记分方式 GRADING SYSTEM
A. 十三级等级制 Letter Grading
B. 二级记分制（通过/不通过） Pass/Fail Grading
课程审批 REVIEW AND APPROVAL
21.
本课程设置已经过以下责任人/委员会审议通过
This Course has been approved by the following person or committee of authority
