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
现代计算数学高级专题 Advanced Topics in Modern Computational Mathematics
2.
授课院系
Originating Department
数学系
3.
课程编号
Course Code
MA339
4. 课程学分 Credit Value
1
5.
课程类别
Course Type
专业选修课 Major Elective Courses
6.
授课学期
Semester
春季 Spring / 秋季 Fall
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）
吴开亮，数学系，副教授
慧园
3
栋
525
WU Kailiang, Department of Mathematics, Associate Professor
Room 525, Block 3,Wisdom Valley
9.
实验员/助教、所属学系、联系
方式
Tutor/TA(s), Contact
无 NA / 待公布 To be announced / 已确定的实验员/ 助教联系方式 Please list all
Tutor/TA(s)
（请保留相应选项 Please only keep the relevant information）
10.
选课人数限额(可不填)
Maximum Enrolment
（Optional）
2
11.
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
学时数
Credit Hours
32 32
12.
先修课程、其它学习要求
Pre-requisites or Other
Academic Requirements
数学分析 III(MA203a)(或数学分析精讲（MA213）)
Mathematical Analysis III (MA203a) (or Real Analysis (MA213))
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.
数学系
教学大纲及教学日历 SYLLABUS
15.
教学目标 Course Objectives
本课程的目标受众是有相关背景和扎实基础的优秀本科生和研究生。课程目标是涵盖一些当代的计算数学问题，特别是与
科学计算、微分方程数值解、机器学习、计算流体力学等相关的基本数学问题和方法。
The targeted audience of this course is advanced well-prepared undergraduate students and graduate students. The
purpose is to cover a few contemporary computational mathematics issues, especially some fundamental mathematical
problems and methods related to scientific computing, numerical methods for differential equations, machine learning,
and computational fluid dynamics.
16.
预达学习成果 Learning Outcomes
预达学习成果: 掌握现代计算数学中的一些基本工具和方法。
Acquaintance with a few fundamental tools and methods in modern computational mathematics.
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
Calendar (Can be adjusted based on student learning and current applied math development)
1: Data-driven modeling and machine learning(8H)
2: Structure-preserving numerical methods(8H)
3: Computational fluid dynamics(8H)
4: student final presentation(8H)
1：数据驱动的建模和机器学习(8H)
2：保结构数值方法(8H)
3：计算流体力学(8H)
4：学生期末报告(8H)
18.
教材及其它参考资料 Textbook and Supplementary Readings
Textbook
：
Notes from the instructor as well as recent papers published in premier journals
教材及其它参考资料： 自编及各类最新研究文献
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
%offinal
score
违纪处罚
Penalty
备注
Notes
出勤 Attendance
课堂表现
Class
Performance
小测验
Quiz
课程项目 Projects
平时作业
Assignments
期中考试
Mid-Term Test
期末考试
Final Exam
期末报告
4
Final
Presentation
其它（可根据需要
改写以上评估方
式）
Others (The
above may be
modified as
necessary)
Presentation by the
students both in
terms of the
mathematics and the
communication skill
(pass/fail grade)
评估的各项比例: 学生
试讲效果包括数学和
沟通能力（及格/不及
格）
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
