PHYS 436 :: Physics Illinois :: University of Illinois at Urbana-Champaign

Schedule

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New Homework assignments will be published on this page on Friday.  They will be due on Fridays of the next week at 1159 pm.  You can submit your homework up to five days later (Wednesday night at 1159pm) for 75% credit if there is no exam scheduled that week; for such cases, only three more days will be given.  After that late deadline, no credit can be earned.  

To hand in HW assignments, we use Gradescope.  If you do your HW on paper, carefully scan your solution pages to produce a clean and legible pdf file.  If you use an electronic tablet for your work, use it to produce a pdf file.  Submitt your file to the Gradescope HW depository.  It is important that your file can actually be read and graded.  Illegible files will not be graded and will result in zero credit. Please create a Gradescope account if you do not have one already, and use code 3XKY6W to add PHYS 436.  

Please note that this webpage will be updated for links to the lecture notes and the discussion materials.

 

Date Lecture Reading (Griffiths Sections) Homework Discussion Exams
Monday 8/25/2025

Lecture 1
Review of PHYS 435 to Faraday's Law and Magnetic Field Energy

Lecture1.pdf

1.1 - 7.2
 
     
Tuesday
8/26/2025
      No Discussion  
Wednesday
8/27/2025
Lecture 2
Locality and Maxwell's Equations
Conservation Laws in Electrodynamics
Lecture2.pdf
 
7.3 - 8.1.1      
Friday
8/29/2025
Lecture 3
Poynting's Theorem
Lecture3.pdf
8.1.2, 8.2.1 Assign HW1
due Sep 5, 2025 23:59 for 100%
Sep 10, 2025 23:59
 for 75%
HW1

 
 
Monday
9/1/2025
No class (Labor Day)        
Tuesday 9/2/2025      

Discussion 1 pdf 

Solutions1

 

Wednesday
9/3/2025

Lecture 4
Conservation of Momentum
Lecture4.pdf

8.2.2      
Friday
9/5/2025
Lecture 5
Maxwell Stress Tensor
Lecture5.pdf
8.2.3

Assign
due Sep 12, 2025 23:59 for 100%
Sep 17, 2025 23:59
 for 75%
HW2

   
Monday
9/8/2025
Lecture 6
EM Angular Momentum Density
Lecture6.pdf
8.2.4  

 

 
Tuesday
9/9/2025
    -

Discussion 2
 

Solutions 2

 
Wednesday
9/10/2025
Lecture 7
Classical Wave Equation
 
9.1      
Friday
9/12/2025
Lecture 8
Electromagnetic Waves
 
9.2.1, 9.2.2 Assign
due Sep 19, 2025 23:59 for 100%
Sep 24, 2025 23:59
 for 75%
HW3
   
Monday
9/15/2025
Lecture 9
Energy and Momentum of EM Waves
 
9.2.3  

 

 

 
Tuesday
9/16/2025
     

Discussion 3

pdf

Solutions 3

pdf

 
Wednesday
9/17/2023
Lecture 10
EM Waves in Isotropic Linear Media
 
9.3.1      
Friday
9/19/2023
Lecture 11
Normal Reflection and Transmission of EM Waves 
 
9.3.2

Assign HW4
due Sep 26, 2025 23:59 for 100%
Oct 1, 2025 23:59
 for 75%
HW4 
Solution

   
Monday
9/22/2025
Lecture 12
Oblique Reflection and Transmission of EM Waves
 
9.3.3  

 

 

 
Tuesday
9/23/2025
     

Discussion 4

Solution 4

 
Wednesday
9/24/2025
Lecture 13
EM Waves in Conductors
 
9.4.1  

 

 
Friday
9/26/2025
Lecture 14
Optical Dispersion
 
9.4.2 Assign HW5
due Oct 3, 2025 23:59 for 100%
Oct 6, 2025 23:59
 for 75%
HW5 
Solution
   

Monday
9/29/2025

Lecture 15
Waveguides
 
9.5.1  

 

 
Tuesday
9/30/2025
     

 

 
Wednesday
10/1/2025
Lecture 16
Rectangular Waveguides
 
9.5.2  

 

 
Friday
10/3/2025

Lecture 17
Coaxial Cables

 

       
Monday
2/27/2023
Lecture 18
Boundary Value Problems with Dielectrics
Spherical Problems
pdf
Griffiths 4.2 and 4.3  

 

 

 
Tuesday
2/28/2023
   

 

 

 
Wednesday
3/1/2023

MidTerm 1
pdf

Griffiths 4.4    

MidTerm 1 
in class
MT1Exam
MT1Solution

Thursday
3/2/2023
         
Friday
3/3/2023

Lecture 20
Energy and Forces in Problems with Dielectrics
Depolarizing Coefficients
pdf

Griffiths 5.1, 5.2 and 5.3

Reintroduce HW6    
Monday
3/6/2023
Lecture 21
Electric Currents
Ampere's Law
Law of Biot and Savart is Complicated!

​pdf
Griffiths 5.1-3  

Discussion 7

Solution 7

 
Tuesday
3/7/2023
 

 

  HW6 Office Hour
144 LLP
5-6 pm
   
Wednesday
3/8/2023

Lecture 22
Magnetic Vector Potential, A
Gauges, the Coulomb Gauge
Robert Mills (of Yang-Mills) Paper on Gauge Theories

read through section IV.B
pdf

Griffiths 5.4
Griffiths Appendix B

Assign HW7
due March 24 for 100%
HW7 Solution
   
Thursday
3/9/2023
   

 

   
Friday
3/10/2023

Lecture 23
Magnetic Multipoles
pdf

Griffiths 5.4.2 Introduce HW7
HW 6 due
Due Mar 10 11:59 pm 100%
Due 1159pm Mar 12 90%
   
Monday
3/20/2023
Lecture 24
Magnetic Multipoles
Levi Civita Symbol

pdf
Griffiths 5.4.3  

Discussion 8

Solution 8

 
Tuesday
3/21/2023

 

  HW7 Homework Office Hour
144 Loomis
5-6pm 
 
   
Wednesday
3/22/2023

Lecture 25
Magnetic Moments, Torques, Forces, Energy
Boundary Conditions
​pdf

Griffiths 6.1 Assign HW8
due by March 31 1159pm for full credit
HW8 Solution

 

 
Thursday
3/23/2023
         
Friday
3/24/2023
Lecture 26
​Magnetic Materials, Magnetization Density, M.
pdf
Griffiths 6.1 Introduce HW8
HW7 due
due March 24 for 100%
or March 26 for 90%
 90% 
   
Monday
3/27/2023
Lecture 27
Bound Currents, Magnetized Objects
​pdf
Griffiths 6.2-3

 

Discussion 9

Solution 9

 
Tuesday
3/28/2023

 

  HW8 Office Hour
144 Loomis
5-6 pm
   
Wednesday
3/29/2023

Lecture 28
The Auxillary Magnetic Field, H
H is a Helper Field
B = mu0(H+M)
Boundary Conditions on B and H

Magnetic SCALAR Potential!

pdf

Griffiths 6.3 Assign HW9
due by April 14, 2023 for full credit
​HW9 Solution

 

 
Thursday
3/30/2023
         
Friday
3/31/2023

Lecture 29

Magnetic BVPs with Linear Paramagnetic Media
pdf

Notes

Introduce HW9
HW8 due
due 1159pm March 31
 100% 
or due 1159pm April 2 for 90%

   
Monday
4/3/2023

Lecture 30
E-Fields in conductors, Electrodynamics, Complex Impedances
pdf

Griffiths 6.3  

Discussion 10

Solution 10

 
Tuesday
4/4/2023

 

  HW9 Office Hour
144 Loomis
5-6 pm
   
Wednesday
4/5/2023

Lecture 31
Electrodynamics
Field energy densitites
Repair Ampere's Law
pdf

Griffiths 7.1 HW10
due April 19 at 1159pmpm for 100%
due April 23 1159pm for 90%
HW10 Solution

 

 
Thursday
4/6/2023
         
Friday
4/7/2023

Lecture 32

Complex Impedances
​Recap of Faraday's Law
pdf

Notes
Griffiths 7.2

HW9 due
due 1159pm April 7
 100% 
or due 1159pm April 9 for 90%
 


 

Monday
4/10/2023
Lecrture 33
Repairing Ampere's LawEnergy in fields
Magnetic Field energy density
Poynting's Vector

pdf
Griffiths 7.3

 

Discussion 11

Solution 11
 
Tuesday
4/11/2023

 

  discuss Midterm 2    
Wednesday
4/12/2023

Lecture 34
How to turn in the exam tonight
Inhomogeneous Wave Equation from Maxwell
Homogeneous Wave Equation

Structure of Electromagnetic Waves
Poynting the way to Intensity of Electromagnetic Waves

pdf

Griffiths 8.1.2
Notes
 

 

 

Thursday
4/13/2023
         
Friday
4/14/2023

Lecture 35
Plane Waves
Polarization of EM radiation

Intensity of EM radiation
Sinusoidal EM Waves
pdf

Notes
Griffiths 9.1-2
HW9 due for full credit 1159pm
due Sunday 4/16 at 1159pm for 90% credit
   
Monday
4/17/2023

Lecture 36
​Superposition of Sinusoidal Waves
Pulses and Bandwidth (uncertainty condition)​
pdf

Griffiths 9.2
Notes
 

 

Discussion 12

Solution 12

 
Tuesday
4/18/2023

 

 

HW10 Homework Office Hour
144 Loomis
5-6pm 

   
Wednesday
4/19/2023

Lecture 37
Propagation of EM waves in Dielectrics
Polarization Current Density
Index of Refraction
pdf

Griffiths 9.2
Notes

 

 

 
Thursday
4/20/2023
         
Friday
4/22/2022

Lecture 38
Reflection and Refraction from Dielectric Interfaces I
​pdf

Griffiths 9.3.2-3
​Notes

Introduce HW11
HW10 due
due April 21 1159pm for 100%
or due April 23 1159pm for
 90% 

   
Monday
4/24/2023
Lecture 39
​Reflection and Refraction from Dielecrtric Interfaces II
​pdf
Griffiths 9.3.3

Assign HW11
HW11 Solution
Due May 1 at 1159 pm for 100%
  or May 3 1159pm for 90%

Discussion 13

Solution 13

 
Tuesday
4/25/2023

 

  HW11 Homework Office Hour
144 Loomis
5-6pm 
   
Wednesday
4/26/2023

Lecture 40
​Propagation of EM waves in Conductors
Reflection of EM waves from Conductors

​pdf

Notes
Griffirths 9.4
 

 

 
Thursday
4/27/2023
         
Friday
4/28/2023

Lecture 41
​Reflection of EM waves from Conductors
pdf

Notes      
Monday
5/1/2023
Lecture 42
Review Statics
pdf
  HW11 due
due May 1 1159pm for 100%
due May 3 1159pm for 90%

Discussion 14

Solution 14

 
Tuesday
5/2/2023

 

       
Wednesday
5/3/2023

Lecture 43
Review Dynamics
​pdf

  HW11 due
due May 3 1159pm for 90%

 

 
Thursday
5/4/2023
Reading Day        
Friday
5/5/2023

Exams Start

       
Friday
5/12/2023
Final Exam via Zoom
130-430pm