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所在平台: Udemy |
课程主页: https://www.udemy.com/course/electrodynamics/
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课程名称：基于麦克斯韦方程的电动力学（本科级别） 课程概述：该课程适合所有希望学习理论电动力学的学生！只需了解一些大学数学（基本的导数和向量代数）即可参与！电动力学的几个概念，例如电荷、 electromagnet waves、电子与磁场等，都是高中阶段所教授的内容。然而，要真正理解这些概念的来源并不容易。为此，麦克斯韦提出了四个方程，基于这些方程，我们可以解释现代电动力学中的大多数现象：静电学、静磁学，以及时间相关的问题和光作为电磁波。 我认为这种理论性的方法在教学时往往要么过于模糊，要么在数学上过于集中。与其观看随机的Youtube视频或花费数百小时学习大学课程，不如利用Udemy的平台进行目的明确的学习。诚邀您加入这门精心准备的课程，在这里您将学习电动力学的基础知识，并包含测验、幻灯片、练习以及数学先决条件的教程！ 关于讲师：我叫Börge Göbel，是一名博士后，担任电动力学和量子理论的科学研究员。我目前的研究方向是特殊磁纹理的涌现电动力学。我记得我刚学习电动力学时的心路历程，也深知其他学生所面临的困惑。我已经通过辅导本科生、硕士生和博士生在理论物理方面锻炼了我的指导能力。 “Göbel博士制作的课程出色，课程内容提供了技术深度以及优秀的材料和音频/视频制作。该课程中的数学复习本身就是一次出色的数学回顾。” — Eddi Girolamo 适合人群： - 如果您即将参加一门电动力学的大学课程并希望做好充分准备。 - 如果您希望学习理论物理而不需要处理其他主题中复杂的数学。 - 如果您对电荷、电磁波、磁场和电场有基本了解，但想深入了解它们的真正来源。 - 如果您仅仅想在考试前进行一次精炼的复习。 课程内容： 我们将从数学先决条件和早期物理现象入手，这些现象为我们现代电动力学的理解奠定了基础。例如，我们将学习复数、纳布拉算子、电荷、磁矩以及电场和磁场。随后，我们将介绍麦克斯韦方程。这四个方程是整个课程的基础，能够推导出我们讨论的所有现象，如安培定律、库仑定律和Biot-Savart定律。 我们将首先考虑真空中的特殊情况，缺乏电荷和电流：在这里，激发是电磁波，换句话说，就是光。我们推导电场和磁场，并讨论光的可能极化特性。随后，我们脱离真空，考虑时间独立的静态问题，这一理论物理领域称为静电学和静磁学。我们将解决一些有趣的问题，比如计算带电球的电场、电容器的电压差、绕线的磁场或偶极子的远场。 最后，我们考虑最一般的情况：时间依赖问题。我们会看到，涉及静态情况的结果只需稍微修改便可以应用。此外，我将向您展示，考虑到物质中的电动力学，如金属块，我们的结果是如何仅发生轻微变化的。希望您对此课程感到兴奋，诚挚欢迎您加入我们的课程！
This course is for everyone who wants to learn about theoretical electrodynamics!A bit of college mathematics (basic derivatives and vector algebra) is all you need to know!Several concepts of electrodynamics like charges, electromagnetic waves, electric & magnetic fields are taught already in highschool. However, it is not really possible to understand their true origin. For that purpose Maxwell formulated 4 equations based on which we can explain most phenomena of modern electrodynamics: electrostatics, magnetostatics, as well as time-dependent problems and light as an electromagnetic wave.However, I think that this theoretical approach is often taught either too vague or with a too strong focus on the mathematics. Instead of watching random Youtube videos or going through hundred of hours of university courses, I think that Udemy courses are a nice platform for purposeful learning. You are kindly invited to join this carefully prepared course that will teach you the 101 of electrodynamics and includes quizzes, slides, exercises, as well as a tutorial on the mathematical prerequisites!Why me?My name is Börge Göbel and I am a postdoc working as a scientist on electrodynamics and quantum theory. I am currently doing research on the emergent electrodynamics of special magnetic textures. I have not forgotten the time when I learned about electrodynamics and still remember the problems that I and other students had. I have refined my advisor skills as a tutor of Bachelor, Master and PhD students in theoretical physics."Dr. Göbel produces excellent courses with lessons that provide both technical depth and great material and audio/visual production. The math review in this course was an excellent math review on its own." - Eddi GirolamoThis course is for you....if you are about to attend a university course on electrodynamics and want to be well prepared.or if you want to go through a theoretical physics course without having to deal with the hardcore mathematics of other topics.or if you have a general idea about charges, electromagnetic waves, magnetic & electric fields but want to know their true origin.or if you simply want to have a carefully condensed refresher before your exams:-)The topicsWe will start with the mathematical prerequisites and the early physical phenomena that have led to our modern understanding of electrodynamics. For example, we learn about complex numbers, the nabla operator, charges, magnetic moments, as well as the electric and magnetic fields. Then, we will introduce the Maxwell's equations. These four equations are the basis of this whole course and allow to derive all of the phenomena that we discuss, like the Ampère's law, the Coulomb's law and the Biot-Savart's law.We start with the special case of vacuum where charges and currents are absent: Here, the excitations are electromagnetic waves or, in other words, light. We derive the electric and magnetic fields and discuss the possible polarizations of light. Thereafter, we leave vacuum but consider time-independent problems. This field of theoretical physics is called electrostatics and magnetostatics. We solve interesting problems like calculating the electric field of a charged sphere, the voltage difference in a capacitor, the magnetic field around a wire or the far-field of a dipole.Finally, we consider the most general case: time-dependent problems. As we will see, we can rely on our previous results from the static case with a few modifications. Also, I will show you how all of our results only slightly change, when we consider the electrodynamics in matter, like in a piece of metal. I hope you are excited and I kindly welcome you to our course!
