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

现代应用数学高级专题 Advanced Topics in Modern Applied Mathematics

授课院系

Originating Department

数学系 Department of Mathematics

课程编号

Course Code

MA443

4. 课程学分 Credit Value

课程类别

Course Type

专业选修课 Major Elective Courses

授课学期

Semester

春季 Spring / 秋季 Fall

授课语言

Teaching Language

中英双语 English & Chinese

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）

王晓明

wangxiaoming

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）

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

偏微分方程（MA303）Partial Differential Equations（MA303）

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

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应用数学问题，特别是与

数据科学、科学计算和基于第一性原理建模相关的数学基础。

The targeted audience of this course is advanced well-prepared undergraduate students and graduate students. The

purpose is to cover a few contemporary applied mathematics issues, especially those related to mathematical

foundations of data sciences, scientific computing, and first-principle based modeling.

16.

预达学习成果 Learning Outcomes

预达学习成果: 掌握现代应用数学中的一些基本工具。

Acquaintance with a few fundamental tools in modern applied 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.)

Calendar (Can be adjusted based on student learning and current applied math development)

1: Asymptotic methods(8H)

2: numerical algorithms(8H)

3: model reduction techniques(8H)

4: student final presentation(8H)

1：各种渐进展开方法(8H)

2：算法简介(8H)

3：模型简化方法(8H)

4：学生期末试卷(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

Final

Presentation

其它（可根据需要

改写以上评估方

式）

Others (The

above may be

modified as

Presentation by the

students both in

terms of the

mathematics and the

communication skill

necessary)

(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