The depth and breadth of electromagnetism, the foundation for many fields including materials science, electrical engineering, and physical chemistry, requires a long, steep, and steady learning curve. This course aims to bridge the gap between the fundamental principles taught in electromagnetism and its practical application to specific fields such as materials, physics, and chemistry related to energy storage and harvesting.
The goal of Electrodynamics: An Introduction is to not only teach electromagnetism but also introduce some mathematical tools which can be used to solve problems in the subject. Within these lecture notes, we review vector calculus and explain how to use fields to visualize the topics we cover. This course is dynamic, as the lectures continuously build on previous notes and a variety of explanations are presented for each solution. Since this is a lower level course, we will focus on the simple concept of electrostatics. This has applications in exploring intermolecular forces, and qualities of capacitors. Through this, we relate electromagnetism to more conventionally studied topics and its application to specific research topics related to energy storage and harvesting.
Electrodynamics: An Introduction
Offered By
Korea Advanced Institute of Science and Technology
Syllabus - What you will learn from this course
Week
1Introduction and Basics of Electrostatics
In this module, electrodynamics is introduced by examining the different forces and explaining which are related to electric forces. Furthermore, fields are defined and we differentiate between scalar and vector fields. We cover laws that constitute electrodynamics, specifically Maxwell's equations and the Lorentz force. After explaining how these topics can be illustrated, we also cover how relativity relates to the subject material.
3 videos (Total 52 min), 1 reading, 1 quiz
3 videos
1-1 Introduction to Electromagnetism25m
1-2 Introduction to Electrodynamic Equations21m
1 reading
Lecture Slides (Week 1)s
1 practice exercise
Week 1 Quiz20m
Week
2INTRODUCTION TO DIFFERENTIAL CALCULUS OF VECTOR FIELDS
This module mainly covers the mathematics behind differential forms of equations. We introduce the ∇ operator and show how it can be used in mathematics. Then, the ∇ operator is proved to be a vector. The Maxwell equations are rewritten in derivative form, and the concepts of divergence and curl are introduced. Finally, we examine the Laplace operator, and other forms of the ∇ operator applied twice.
2 videos (Total 52 min), 1 reading, 1 quiz
1 reading
Lecture Slides (Week 2)s
1 practice exercise
Week 2 Quiz20m
Week
3Introduction to Vector Integral Calculus
This module explains line integrals and presents some equations where they are important. We explain what the flux and circulation of a field are conceptually and how they can be obtain using the divergence and curl through Gauss' and Stokes' theorems respectively. Finally, we explain the qualities of divergence and curl free fields.
2 videos (Total 51 min), 1 reading, 1 quiz
1 reading
Lecture Slides (Week 3)s
1 practice exercise
Week 3 Quiz20m
Week
4Introduction to Electrostatic Solutions
This module covers how to simplify Maxwell's equations in the scenario of electrostatics. Then, we discuss how the electric potential can be used and why using a relative value is useful for certain calculations. The flux out of different geometries is presented, as well as how to display field lines and equipotential surfaces.
2 videos (Total 65 min), 1 reading, 1 quiz
1 reading
Lecture Slides (Week 4)10m
1 practice exercise
Week 4 Quiz20m
Instructor
Seungbum Hong
Associate ProfessorMaterials Science and Engineering
About Korea Advanced Institute of Science and Technology
The Korea Advanced Institute of Science and Technology (KAIST) was established in 1971 by the Korean government as the nation’s first research-intensive graduate school for science, engineering and technology. It has now grown into one of the world’s best universities, delivering top notch education and research programs for undergraduate and graduate students. KAIST encourages interdisciplinary and convergent research across a wide spectrum of disciplines, as well as strong collaborations with industry and global institutions.
Frequently Asked Questions
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Once you enroll for a Certificate, you’ll have access to all videos, quizzes, and programming assignments (if applicable). Peer review assignments can only be submitted and reviewed once your session has begun. If you choose to explore the course without purchasing, you may not be able to access certain assignments.
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