LECTURES, CLASSES AND TUTORIALS
Alexander Schekochihin
Lectures: ODEs/Normal Modes (1st year)
Tutorials: Papers CP4 (1st year), A1 (2nd year)
Hilary Term 2022
| NOTES: Your classes will mostly
be on Fridays and the corresponding problem sheets will
be due on Sunday night following the class (except if
indicated otherwise below), with follow-up tutes the
week after. I suggest that you attempt the problem
sheets before
the class, so we could deal with some of the arising
problems in class. If you do not do that, it may turn
out to be difficult for you to finish your homework on
time. Please turn in all your homework by placing it in your personal Dropbox folder. Jovan Jovanovic will be helping me with the marking of CP3 this year and Minghao Li with A1. Jovan, Minghao and I cannot guarantee that work that is turned in late will be looked at. I will place the marked version of your work back in your Dropbox folder. Please make notes for yourselves while doing the homeworks to make sure you have a plan for what to discuss during the tutes. Note that Jovan and Minghao (as well as Georgia Acton, who was your GTA in MT) also serve as a graduate mentors and you are encouraged to seek appointments with them (although it is not guaranteed that they will have time for you in any given week) --- if after the tutes you are still having difficulties with the material. There are other graduate mentors available, listed here. CP4: I will cover the collection and problem sets MT-VIII (vac work), HT-2, HT-4, and HT-5. Prof Christopher Ramsey will do the rest. Please arrange your schedule (and process for turning in homework) with him directly. |
 A sketch of students (or, perhaps, fellows) in a manuscript of William of Ockham's commentary on Aristotle's Physics (MS293 from the Merton College library, image courtesy of J. Walwarth). |
CP3/4: My Lecture Notes and Problem Sets on ODEs (incl. Normal Modes; see Chapter 7, and PS-6) (updated in real time, check back!)
CP4: Felix Parra's 2021 Lectures and Problem Sets on Waves
CP4: On Vector Calculus, I strongly recommend Ramin Golestanian's Lecture Notes
CP4: Merton Maths Problem Sheets for HT-22 (this is last year's version; your lecturer on Waves has changed, so these may be updated later)
A1: My Lecture Notes on Kinetic Theory and Statistical Mechanics for 2nd year (last updated in 2021; still in use by Michael Barnes in his course)
A1: Problem Sheets for HT-21 (slightly amended compared to the standard offering; last updated 7.01.20; I may post further updates)
If you would like to try your hand at more advanced material (or just extra material), the following two books proved a great success in David Hosking's lockdown tutorials with 2nd years in TT-2020 (if you want an e-copy, drop me a line):
- R. Kubo, Thermodynamics:
An Advanced Course with Problems and Solutions (N.
Holland 1968)
- R. Kubo, Statistical
Mechanics: An Advanced Course with Problems and Solutions
(N. Holland 1965)
| Week |
Date |
Time |
Place |
Year |
Class/Tute |
Notes |
| I |
Mon 17 Jan | 17:00-19:00 | Hawkins Rm |
1 |
Class-1 | We will discuss the collection paper and any questions arising from your inter-term revision efforts. |
| Wed 19 Jan |
10:00-12:00 |
Lindemann LT |
1 |
ODE/Normal Modes Lectures
1-2 |
||
| Tue 18 Jan |
17:30-19:00 |
Grove 1.8 |
1 |
Tute-1: Joe Bell, Param
Luhadiya & Jonny Rugg |
MT-VIII
(vac work) due Sun 9 Jan @23:59 |
|
| Sun
23 Jan |
17:30-19:00 |
Grove 1.8 |
1 |
Tute-1: Safwan Elhaj-Houssen, Lilin Liu & Sumayyah Siddiqui | ||
| Thu 20 Jan |
17:30-19:00 |
Grove 1.8 |
1 |
Tute-1: Barnaby Colvin,
Euan Dyer & Louis Kemp |
||
| Sun 23 Jan |
11:00-13:00 |
Grove 1.8 |
2 |
Stat Phys Class-1 | We will discuss the
collection paper and any questions arising from your inter-term revision efforts. |
|
| II |
Mon 24 Jan |
11:00-12:00 |
M. Wood LT |
1 |
ODE/Normal Modes Lecture
3 |
|
| Tue 25 Jan |
11:00-12:00 |
M. Wood LT |
1 |
ODE/Normal Modes Lecture
4 |
||
| Wed 26 Jan |
17:00-19:00 |
Grove 1.8 |
2 |
Stat Phys Tutes-1 |
PS-4 (vac work) due Sun
9 Jan @23:59 |
|
| Fri 28 Jan |
11:00-13:00 |
Hawkins Rm |
1 |
Class-2 |
HT-2 (try it before
class, prepare questions) 3D multiple, line and surface integrals Normal modes Lagrangian & Hamiltonian mechanics Rigid rotation |
|
| III |
Mon 31 Jan |
11:00-12:00 |
ZOOM | 1 |
ODE/Normal Modes Lecture
5 |
|
| Tue 1 Feb |
17:30-19:00 |
Grove 1.8 |
1 |
Tute-2: Joe Bell, Param Luhadiya & Jonny Rugg | HT-2
due Sun 30 Jan @23:59 |
|
| Wed 2 Feb |
17:30-19:00 |
Grove 1.8 |
1 |
Tute-2: Safwan Elhaj-Houssen, Lilin Liu & Sumayyah Siddiqui | ||
| Sun
6 Feb |
17:30-19:00 |
Grove 1.8 |
1 |
Tute-2: Barnaby Colvin, Euan Dyer & Louis Kemp | ||
| Fri 4 Feb |
17:00-19:00 |
Grove 1.8 |
2 |
Stat Phys Class-2 |
PS-5 (try it before
class, prepare questions) Fundamentals of Stat Mech; stat mech of the ideal gas |
|
| IV |
Wed 9 Feb |
17:00-19:00 |
Grove 1.8 |
2 |
Stat Phys Tutes-2 | PS-5
due Sun 6 Feb @23:59 |
| Fri 11 Feb |
17:00-19:00 |
Hawkins Rm |
1 |
Class-3 |
HT-4 (try it before
class, prepare questions) Vector calculus: differentiation in index notation Gauss and Stokes Theorems Wave equation: d'Alembert's solution Limit cycles |
|
| V |
Sat
19 Feb |
11:00-12:30 |
Grove 1.8 |
1 |
Tute-3: Joe Bell, Param Luhadiya & Jonny Rugg | HT-4 due Sun 13 Feb @23:59 |
| Wed 16 Feb |
17:30-19:00 | Grove 1.8 |
1 |
Tute-3: Safwan Elhaj-Houssen, Lilin Liu & Sumayyah Siddiqui | ||
| Sun
20 Feb |
11:00-12:30 |
Grove 1.8 |
1 |
Tute-3: Barnaby Colvin, Euan Dyer & Louis Kemp | ||
| Fri 18 Feb |
11:00-13:00 |
Hawkins |
1 |
Class-4 |
HT-5 (try it before
class, prepare questions) Vector calculus: integrals Wave equation: energetics, solution via Fourier series Vector calculus & waves in EM and hydrodynamics |
|
| 17:00-19:00 |
Grove 1.8 |
2 |
Stat Phys Class-3 |
PS-6 (try it before
class, prepare questions) Applications of Stat Mech; open systems |
||
| VI |
Wed 23 Feb |
17:00-19:00 |
Grove 1.8 |
2 |
Stat Phys Tutes-3 | PS-6
due Sun 20 Feb @23:59 |
| Fri
25 Feb |
17:00-19:00 |
Grove
1.8 |
2 |
Stat Phys Class-4 |
PS-7
(try
it before class, prepare questions) Quantum gases |
|
| VII |
Tue 1 Mar |
17:30-19:00 |
Grove 1.8 |
1 |
Tute-4: Joe Bell, Param Luhadiya & Jonny Rugg | HT-5
due Sun 27 Feb @23:59 (this problem set is quite difficult and may require independent study; you have two weeks to do it, don't leave it until the last weekend!) |
| Wed 1 Mar |
17:30-19:00 |
Grove 1.8 |
1 |
Tute-4: Safwan Elhaj-Houssen, Lilin Liu & Sumayyah Siddiqui | ||
| Thu 3 Mar |
17:30-19:00 |
Grove 1.8 |
1 |
Tute-4: Barnaby Colvin,
Euan Dyer & Louis Kemp |
||
| VIII |
Wed 9 Mar |
17:00-19:00 |
Grove 1.8 |
2 |
Stat Phys Tutes-4 | PS-7
due Sun 6 Mar @23:59 (this problem set is long and difficult, do not leave it until the last weekend!) |
| Fri 11 Mar |
17:00-19:00 | Grove 1.8 |
2 |
Stat Phys Class-5 |
PS-8 (try
it before class, prepare questions) Real gases, phase transitions, revision of Stat Mech |
|
| 1 |
Vacation work: HT-7 |
Tute in TT-2022 (with C.
Ramsey or J. Jovanovic) |
||||
| 2 |
Vacation work:
PS-8 |
Tute in TT-2022 (with
Minghao Li) |