Jackson: t-minus three semesters and counting

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Preparing for graduate-level electromagnetism using Griffith's "Introduction to Electrodynamics" is a solid foundation, but additional knowledge in partial differential equations (PDEs) is crucial. A PDE course will enhance understanding of concepts like Green's functions and Fourier series, which are integral to electromagnetism. Familiarity with mathematical tools such as Legendre polynomials, Bessel functions, and spherical harmonics is also beneficial. To further prepare, exploring other electromagnetism textbooks and mathematical physics resources is recommended. This comprehensive approach will help in tackling both electromagnetism and general relativity effectively.
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Jackson: t-minus three semesters and counting!

Okay, help me with this thought-experiment: I was wondering how well-prepared for graduate (Jackson) electromagnetism I would be if I had studied the entirety of Griffith's "Intro...Electrodynamics" one year beforehand. What subject-matter would I still be missing, so to speak? I'll have a summer before I have to study out of Jackson's book, so I was wondering if there was anything I should study beforehand, as preparation. Would a math-course in partial-differential-equations (whatever that means...) help?

I also wish to study general relativity during the same semester: what prior-knowledge should I amass during the summer beforehand?
 
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If "whatever that means" is your response to PDE's, you might be in trouble. Do Griffiths, take the PDE course, I assume you may have already taken an ODE course (ordinary differential equations). That should be a good starter...
 


Pengwuino said:
If "whatever that means" is your response to PDE's, you might be in trouble. Do Griffiths, take the PDE course, I assume you may have already taken an ODE course (ordinary differential equations). That should be a good starter...

Ha ha...I just meant that I didn't know the PDE-course-description offhand. Now that I consult it: they speak of "Green's functions, Fourier series, and other classical techniques".
 


Start assembling other EM textbooks that cover the same principles and have example problems worked out. Landau-Lifgarbagez...
 


bjnartowt said:
Ha ha...I just meant that I didn't know the PDE-course-description offhand. Now that I consult it: they speak of "Green's functions, Fourier series, and other classical techniques".

I'm using Jackson right now and Green's Functions are some pretty wild stuff to learn, I recommend burning that knowledge into your head however you can. Fourier series is important as well, definitely. Understanding Legendre polynomials, bessel functions, spherical harmonics... stuff you'd find in a PDE course most likely, is good to know. Hell, just grab a mathematical physics book and go nuts on it.
 
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