PHYS 515 :: Physics Illinois :: University of Illinois at Urbana-Champaign

Schedule

Lectures will take place on Tuesdays and Thursdays from 13:00pm - 14:20pm in 222 Loomis Laboratory.
 

Starting in week 2, homework sets will be available on this website on Tuesdays after the lecture. They are due the following Tuesday before 11:55 p.m. Central US and must be submitted online via my physics.

If you have any issues logging in to view any of the secured documents below, please try adding "uofi\" (without the quotes) in front of your netid.

The lecture notes are included here for your convenience. However, they are not a replacement for a textbook! PLEASE DON'T SHARE THE LECTURE NOTES!

The schedule below may be a bit altered during the semester, depending on how fast we progress and go over the topics. Exam dates, homeworks, and paper reviews dates will not change. 

For details on semester dates, registration deadlines, etc. please check the Academic calendar

Week Date Lecture Homework
1-hour paper review
1 Tue 08/25/2026

Introduction to the course

Lecture notes 1


L1. Special Relativity

 
Thu 08/27/2026

L2. Special Relativity

Lecture notes 2

 
2 Tue 09/01/2026

L3. Lorentz transformations

Lecture notes 3

HW 1 assigned
 

Thu 09/03/2026

L4. Vectors and 1-forms

Lecture notes 4

 
3 Tue 09/8/2026

L5. Tensors

Lecture notes 5

HW 1 due
HW 2 assigned
 
Thu 09/10/2026

L6. Tensors
Physics in flat spacetimes

Lecture notes 6

paper review 1 due
4 Tue 09/15/2026

L7. Physics in flat spacetimes

Lecture notes 7

HW 2 due
HW 3 assigned
 
Thu 09/17/2026

L8. Physics in flat spacetimes

Lecture notes 8 

 
5 Tue 09/22/2026

L9. Manifolds

Lecture notes 9 

HW 3 due
HW 4 assigned
 
Thu 09/24/2026

L10. Manifolds

Lecture notes 10 

 
6 Tue 09/29/2026

L11. Curves and vector fields

Lecture notes 11 

HW 4 due
HW 5 assigned
 
Thu 10/01/2026

L12.Tensors in curved spacetime

Lecture notes 12 

paper review 2 due
7 Tue 10/06/2026

L13. Tensors in curved spacetime

Lecture notes 13

HW 5 due
No homework assigned
Thu 10/08/2026

L14. Differential forms

Lecture notes 14

 
8 Tue 10/13/2026 MIDTERM EXAM  No homework due
HW 6 assigned
 
Thu 10/15/2026

L15. Connection and covariant derivative

Lecture notes 15

 
9 Tue 10/20/2026

L16. Parallel transport and geodesics

Lecture notes 16

HW 6 due
HW 7 assigned
 
Thu 10/22/2026

L17. Riemann curvature

Lecture notes 17

paper review 3 due
10 Tue 10/27/2026

L18. Symmetries and Killing vectors

Lecture notes 18

HW 7 due
HW 8 assigned
 
Thu 10/29/2026

L19. Gravitation and Einstein's equations 

Lecture notes 19

 
11 Tue 11/03/2026

L20. Einstein's equations and energy conditions

Lecture notes 20

EXTRA: Lecture notes 20a

HW 8 due
HW 9 assigned
 
Thu 11/05/2026

L21. Schwarzschild metric and Birkhoff's theorem

Lecture notes 21

EXTRA: Lecture notes 21a

 
12 Tue 11/10/2026

L22. Geodesics of Schwarzchild

Lecture notes 22

HW 9 due
HW 10 assigned
 
Thu 11/12/2026

L23. Stars in General Relativity/TOV equations

Lecture notes 23

paper review 4 due
13 Tue 11/17/2026

L24. Black holes

Lecture notes 24

HW 10 due
HW 11 assigned
 
Thu 11/19/2026

L25. Black holes

Lecture notes 25

Lecture notes 25+

 
14 11/21/2026 -- 11/29/2026 Fall Break  
15 Tue 12/01/2026

L26. Linearized Einstein's equations

Lecture notes 26

HW 11 due
HW 12 assigned
Thu 12/03/2026

L27. Gravitational waves

Lecture notes 27

 
16 Tue 12/08/2026

L28. Cosmology

Lecture notes 28

HW 12 due
Thu 12/10/2026 Reading Day
12/15/2026 Final Exam