中文课程简介

该课程将简单讨论电学和磁学的以下基本概念：

（1）场：本课程继续介绍场的概念，定义Grad，Div和Curl运算符，高斯和斯托克斯定理，进展到保护，螺线管和无旋向量场；

（2）静电学和静磁学：电场的高斯定律，法拉第定律用于与时间无关的电场，介绍静电势，偶极子，功和能量等概念;导出了界面处电场和磁场的边界条件，Poisson和Laplace方程，并讨论了它们的解；

（3）Maxwell方程：课程使用与上一节中导出的时间无关的麦克斯韦方程组，并将其推广到完整的时间相关麦克斯韦方程组，自由空间，电介质和导体中的电磁波（如时间允许）。

英文课程简介

The course starts with a simple discussion of the basic concepts in Electricity and Magnetism, concepts that students are already familiar with.

Fields: The course goes on to introduce the concept of a field – defining the Grad, Div and Curl operators. This is followed by Gauss's and Stokes's theorems, progressing on to conservation, solenoidal and irrotational fields.

Electrostatics and magnetostatics: Gauss’s law for the Electric field, Faraday’s law for the time-independent electric fields. Concepts such as the electrostatic potential, the dipole, work and energy are introduced; the boundary conditions of the electric and magnetic fields at interfaces are derived. Poisson’s and Laplace’s equations are introduced, and their solutions are discussed.

Maxwell’s equations: The course then uses the time-independent set of Maxwell's equations, derived in the previous section, and generalizes it to the full set of time-dependent Maxwell's equations. This is followed by a discussion of electromagnetic waves in free space, in a dielectric and in a conductor (time-permitting).