Class Materials

You will need these things to help with the Lectures

Syllabus I (339)

Syllabus II (340)

339 Study Notes I

340 Study Notes II


Griffiths 4th edition

Pearson Publishing (The internationalversion will also do here)


Also of use but not required

"div grad curl and all that"

by Schey



to download course materials or watch the lectures 

PHY 339/340

Electromagnetism I&II 

Instructor: Dr. David Carroll

Class Location: 103 Olin Hall

Time: 12:30 - 1:45 T/TH

Tutorials: Tuesday

Ave. Out of Class Prep Time: 4 hours/class

Office Hours by Appointment: email


Welcome to E&M

This two course sequence presents a classical approach to electromagnetism. But, unlike many traditional, junior-level presentations, these lectures introduce classical field concepts together with some connections to quantum counterparts. The philosophy of the class holds little back in seeking to build physical models consistent with a modern understanding of electrodynamics.  



PHY 339 (1/2 semester) Field Basics

(don't be fooled by the credit hours, this is a focused and challenging course)


I.    Source laws and Vector Fields: Electric

Coulomb and Gauss

the calculus of field structure (div/grad/curl)

Potentials Poisson and Laplace


II.   Source Laws and Vector Fields ii: Magnets


Biot-Savart and Ampere

Field Structure

Vector potentials 

III. Time dependence

The discoveries of Faraday

Maxwell's corrections

A wave equation emerges

IV.  Interactions with Material - response theory

dielectrics / electrets

magnets and para/dia magnetism


PHY 340 (1 semester) Moving Beyond Basics

I.   A review of E&M and advanced solutions methods

     (tricks for the advanced physicist)

Separation of Variables

Fourier Series

Methods of images

Methods of inverse negatives 


II.  The energy and momentum of classical fields

Poynting thm

Work-Energy thm.

Maxwell tensor

III.  Returning to E&M waves

Solutions in free space

Solutions in materials: Fresnel

Reflection and waves guided

Dispersion and Absorption

IV.  Electromagnetic Radiation and Scattering

The Lorenz Gauge

Retarded solutions of the wave equation

Multipole radiation patterns

Dipole scattering

V.   Classical E&M in a quantum world (time permitting)

E&M as a gauge theory

the beginnings of quantum electrodynamics

The Class


The Class is made up of:

1. Lectures on T/TH 12:30 to 1:15,  

2. Discussion /quizzes 1:25 - 1:45 

3. Weekly Tutorials.





40% Tutorial

30% In class - quizzes (these work like a single test with a few problems at a time)  

30% Final Exam

Office Hours

You can schedule a face-to-face, zoom, webex, phone, meeting at your convenience through email or text. (If you just ask me in the hall I may forget)

Public Safety Announcements


Every effort will be made to accommodate the current COVID crisis. See the syllabus for utilizing this help. Effort will also be made for students that find themselves facing those little problems of life that sometimes make our daily routines hard to follow. Please feel welcomed to discuss issues of safety and accommodation with the instructor. 


In this course we take the peculiar approach of presenting the classical sources of classical fields together. Thus, charge and magnetic moment are placed together instead of separate topics as is usually done

Wake Forest


© 2019 by David Carroll. Proudly created with

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