# 【对外交流|线上】2023浙江大学数学科学学院本科生海外交流项目——普渡大学在线学习课程申请通知

（一）项目对象：

（二）申请条件：

1. 热爱社会主义祖国，具有良好的政治素质，无违法违纪记录；

2. 品学兼优，身心健康；

3. 德智体美劳全面发展，知识、能力、素质和记实综合考评优良；

4. 优先考虑没有参加过对外交流的学生；

5. 其它条件请参考项目具体要求，请务必详细了解项目情况、并根据自己的学业安排进行统筹规划后再行申请。

（一）课程介绍

Prerequisite: Basic knowledge of partial differential equations and functional analysis

Description: In mathematics and physics, scattering theory is to study and understand the scattering of waves that include acoustic, elastic, and electromagnetic waves. If the total wave field is viewed as the sum of an incident field and a scattered field, the direct scattering problem is to determine the scattered field from the incident field and the differential equation governing the wave motion; the inverse scattering problem is to determine the nature of the scatterer, such as location, geometry, or material property, from a knowledge of the scattered field. These problems have played a fundamental role in diverse scientific areas such as radar and sonar (e.g., stealth aircraft design and submarine detection), geophysical exploration (e.g., oil and gas exploration), medical imaging (e.g., breast cancer detection), near-field optical microscopy (e.g., imaging of small scale biological samples), and nano-optics. The course will provide introductory materials to the area in scattering theory that offers rich and challenging mathematical problems. An emphasis of this course is on the formulation of mathematical models and the analysis of mathematical approaches.

Text: No textbook is required. Lecture notes will be made available to students.

References:

1. G. Bao and P. Li, Maxwells Equations in Periodic Structures, 2022.

2. D. Colton and R. Kress, Inverse Acoustic and Electromagnetic Scattering Theory, 1998.

（二）主讲教师

（三）项目形式

（四）授课时间

59日（星期二）9:00-11:00

511日（星期四）9:00-11:00

513日（星期六）9:00-11:00

516日（星期二）9:00-11:00

518日（星期四）9:00-11:00

520日（星期六）9:00-11:00

Office hour:

512日（星期五）9:00-11:00

519日（星期五）9:00-11:00

（五）课程助教

1. 请于202355日下午5点前登录教学管理信息服务平台（http://zdbk.zju.edu.cn/）完成项目报名。项目名称：（数学学院）2023年普渡大学在线学习课程；项目号：20221389 。

2. 此项目可获得国际化时长共32学时（线上16学时+线下16学时）。