Please read the appropriate section of the text before class. The material will undoubtedly be somewhat mysterious the first time you see it, and you will get more from each class if you have looked at the material in advance. There are also links to my lecture notes on the class schedule below. "Pop" quizzes may happen at any time.
Please have the notes available to you during class (on paper or on a computer) so that I do not have to write all the math on the board.
Doing problems is the essence of a class based on Jackson. Assigned problems are listed on the
schedule. Please check all links as there are additional problems and/or hints listed there. I shall
collect
and grade these problems every week. Do not get behind! The farther behind you
get,
the harder it is to catch up. Here are some
guidelines
for preparing your homework papers.Your grade for the class will be
heavily
based on these problem grades, although a good deal of credit will be
given
for a good attempt. (For what "good" means, check here.) You should include a clear
and concise discussion of relevant physical principles and mathematical
techniques in your solutions, and always analyze your result. Check
this list for things you should NOT say
in your solutions!
I strongly recommend that you plan to spend at least 30 minutes per
week consulting with me in office hours. Check my office hours
now, and
let me know if it is impossible for you to attend any of them.
I do not usually hand out homework solutions. However, you may
obtain a solution if you agree to write a oneparagraph discussion of
the solution, including such factors as how it differs from your own
attempt, and what you have learned from reading it. Such
solutions are for your
own personal use and should not be shared with other students.
There will be a takehome midterm, and an inclass and a takehome final. Problems and the midterm are due at the beginning of the class period on the day indicated. Assignments turned in late will be accepted only under exceptional circumstances.
While I encourage you to discuss the problems during the semester in study groups, please be sure that the work you turn in is your own. Exams may not be discussed with anyone except me. You can probably find solutions to many of the problems on the internet. These solutions range from pretty good to outright wrong. If you can tell the difference, you don't need the solution. If you can't, the solution won't help you. Please review the department's plagiarism policy. Any use of such internet resources is strictly forbidden.
Please note that some of the assignments will involve a computer calculation. You must have some familiarity with at least one computer language such as C++, FORTRAN, BASIC, IDL, PYTHON, or a math package such as MATHEMATICA or MAPLE or MATLAB. Computers may also be (and should be) used to construct plots and diagrams in other assignments.
Grades will be assigned on the following basis:
Class participation  Homework problems:  Midterm:  Final:  Project 
5%  25%  30%  35%  5% 
If you cannot agree to do the homework problems without external aids, you may choose to have your grades assigned according to the following Plan B scheme:
Homework problems:  Midterm:  Final:  Project 
0 %  40%  55%  5% 
I am a tough grader, so the numbers you get on your assignments may be lower that you have been getting in other classes. An overall score of 80% or better usually gets an A. I do not grade on a curve, because the small numbers in graduate classes make the statistics unreliable. I compare you with the students who have taken this class over the last 20 years.
Please feel free to discuss all aspects of the class with me at any time. Discuss the homework problems among yourselves as well as with me (exams should not be discussed, however). When you discuss problems with other students, general strategies should be discussed, not specific details. For example, you might discuss whether to use a method that minimizes the energy of a system. However, the mathematical details of the method should not be done as a group: that you should do on your own.
Challenge each other! Do not accept what someone else says unless she/he can justify his/her reasoning. Try to attend published office hours, but also feel free to knock on my door whenever I am there. (I'll tell you if I am busy!) It's usually a good idea to make an appointment if you are coming outside office hours.
As graduate students, more is expected of you. You may find it
helpful, indeed necessary, to use reference materials other than
Jackson. You will need a reference that discusses the basic physical
principles: I recommend the Feynman lectures, and also Lea and Burke.
You should have access to
a mathematical reference work listing integrals as well as properties
of
mathematical functions such as Legendre polynomials and Bessel
functions.
The book store has a few copies of Gradshteyn and Ryzhik if you want
your
own: otherwise using the library should suffice. Other books dealing
with
the material include: Lea, Mathematics for Physicists,
especially
Chapter 8 and Optional Topic C; Landau and Lifshitz, Classical
Theory
of Fields; Schwinger et al, Classical
Electrodynamics, Morse and Feshbach, Methods of
Theoretical
Physics; Jeffreys and Jeffreys, Mathematical Physics,
especially
Chapters 6, 18, 21, 22 and 24. A good reference for numerical values of
functions
is Ambramowitz and Stegun, Handbook of Mathematical Functions
(USGPO
and also Dover). For numerical techniques, I recommend Numerical
Recipes,
Press et al.
Pages 3149 in this newsletter give a good summary of scientific writing dos and don'ts.
This class will be a challenge for all of us, and I hope that we can
meet it together.
Finally, check out another student's take on this class: JacksonForLife.pdf
This is pretty good advice too.
Finally some advice from another professor (courtesy of Dr. Robert Brown at Duke University). Americans with Disabilities Act (ADA) Accommodation: The University is committed to providing reasonable academic accommodation to students with disabilities. The Disability Programs and Resources Center provides university academic support services and specialized assistance to students with disabilities. Individuals with physical, perceptual, or learning disabilities as addressed by the Americans with Disabilities Act should contact Services for Students with Disabilities for information regarding accommodations. Please notify your instructor so that reasonable efforts can be made to accommodate you. If you expect accommodation through the act, you must make a formal request through Disability Programs & Resource Center in SSB110, Telephone 3382472.Physics 704  
Course Outline 
Spring 2018  

Date  Jackson Reference  Topic (click on links for lecture notes) 
Problems  Due date 
Tu Jan 23  Introduction (p123) Appendices  Overview: Fields and particles. Maxwell's equations.
Units. Boundary conditions Nature of the mathematical problem. Linearity. 

Th Jan 25 
6.1, 1.14, 5.13, 5.15  Derivation of Maxwell's equations from experimental results.  1.1 Addendum to P1.1 
Jan 25 
Tu Jan 30 
1.51.7, 5.4, 5.9 6.2, 6.3 , 7.1 
Scalar and vector potentials. Gauge conditions. Point charge and dipole potentials. Vector and scalar magnetic potentials.  
Th Feb 1 
1.11, 5.16, 6.7,6.8,6.9  Energy in the EM field.
Capacitance. End of survey of basics. 
1.2, plus additional part, 5.1  Feb 1 
Tu Feb 6 
1.810 
Effect of boundary conditions. Green's Theorem; uniqueness. Formal theorems  
Th Feb 8  1.1213  Numerical methods  1.7, 6.14 Add 6.14(d). What is the value of L if d= 3 microns? 
Feb 8 
Fri Feb 9 
Last day to drop a class  
Tu Feb 13  2.17 
Derivation
of potential: method of images
Use of images to construct Green function for sphere. 

Th Feb 15  2.82.11 Lea Chapter 8 sections 8.1 & 2 
Orthogonal functions: SturmLiouville problem. Separation of variables. Rectangular 2D and 3D potential problems. Fourier integral.  1.15,1.17, 1.20  Feb 15 
Tu Feb 20 
2.82.11 Lea Chapter 8 sections 8.1 & 2 2.12 
Use of conformal transformations in 2D problems. Polar
coords in 2D Finite element analysis, Example 

Th Feb 22 
8.18.4 
Boundary conditions on wave solutions: wave guides.  2.4,2.5 
Feb 22 
Tu Feb 27 
8.4 
Rectangular wave guide.  
Th Mar 1
St. David's Day 
3.13.4 Lea Ch 8 Sec 8.3 
Separation of variables in spherical coordinates. 
1.23, 2.20 
Mar 1 
Tu Mar 6  3.5 Lea Ch 8 Sec 8.3 
Separation of variables in spherical coordinates. Spherical harmonics. 
8.5(a), 3.7  Mar 8 
Th Mar 8  3.6, 5.5 Lea Ch 8 Sec 8.3 
The addition theorem Magnetic field due to a current loop Midterm handed out 

Tu Mar 13 
3.73.8 Lea Ch 8 Sec 8.4 
Cylindrical coordinates; Bessel functions. 
Midterm due  Mar 15 
Th Mar 15 
8.7, 3.13, 5.13 
Midterm due at beginning of class Cylindrical coordinates; Bessel functions Examples. Mixed boundary conditions 

Mar 19  Mar 23  Spring Break  
Tu Mar 27  3.93.10 Lea Optional Topic C 
Other problems reducible to Laplace's equation. Current flow.  3.4, 3.18 
Mar 29 
Th Mar 29 
3.11  Green's functions in terms of orthogonal functions. I. Spherical coordinates 

Tu Apr 3 
Green's function II: Cylindrical coordinates Wronskian 
3.15, 3.16c  Apr 6  
Th Apr 5  3.12 Lea Optional Topic C 
Green's function III: General method using eigenfunctions  
Class project  3.23,3.24**  May 15  
Tu Apr 10  6.16.4 (14.1)  Green's function for wave equation: causality  3.26, 3.27 
Apr 12 
Th Apr 12  4.1, 4.2  Multipole expansions  
Tu Apr 17  4.34.7  Quick survey of dielectrics.  4.4, 6.20  Apr 19 
Th Apr 19  4.34.7  More on dielectrics  
Tu Apr 24 
5.65.7  Magnetic moment, Force and torque  4.5,4.8  Apr 26 
Th Apr 26 
7.17.3  Properties of waves: Polarization  
Tu May 1 
7.17.3  Fresnel formulae  5.10, 5.12  May 3 
Th May 3 
7.3 7.7  Waves in plasmas  
Tu May 8  7.77.11  Group velocity  7.8, 7.9 
May 10 
Th May 10  7.77.11  Pulses.


Tu May 15  Last class. Student reports. Class project written paper due
Takehome final exam handed out in class 
Project written paper due 
May 15  
Th May 17 
10:45am  1:15 pm 
In class Final Examination. 

Tu May 23  3:00 pm  Takehome final examination due 
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Phys 704 is a core course in the MS degree in Physics: