LECTURES, CLASSES AND TUTORIALS
Alexander Schekochihin
Lectures: ODEs/Normal Modes (1st year), Adavnced Fluid Dynamics/MHD (MMathPhys)
Tutorials: Papers CP4 (1st year), A1 (2nd year)
Hilary Term 2021
| NOTES: Your
classes will normally be
on Friday 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. Georgia Acton (CP4) and Jacob Roberston (A1) will be helping me with the marking this year. Georgia, Jacob 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 Georgia and Jacob also serve as graduate mentors and you are encouraged to seek appointments with them (although it is not guaranteed that they will have time for you) if after the tutes you are still having difficulties with the material. There are other graduate mentors availbale: 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 Lectures and Problem Sets on Waves (also may be updated in real time)
CP4: On Vector Calculus, I strongly recommend Ramin Golestanian's Lecture Notes
CP4: Merton Maths Problem Sheets for HT-21 (this version is of 10.01.21; there may be further updates, check back!)
A1: My Lecture Notes on Kinetic Theory and Statistical Mechanics for 2nd year (last updated in 2020)
A1: Problem Sheets for HT-21 (slightly amended compared to the standard offering; last updated 7.01.20; I may post further updates)
| Week |
Date |
Time |
Place |
Year |
Class/Tute |
Notes |
| I |
Mon 18 Jan | 11:00-12:00 |
ZOOM |
1 |
ODE/Normal Modes Lecture 1 |
|
| Tue 19 Jan |
11:00-12:00 |
ZOOM |
1 |
ODE/Normal Modes Lecture 2 |
||
| 18:00-18:55 |
ZOOM |
1 |
Tute-1: Theo Iosif & Agi Wierzchucka |
MT-VIII (vac work) due Sun 10 Jan at 23:59 in the Dropbox |
||
| Wed 20 Jan |
17:30-18:55 |
ZOOM |
1 |
Tute-1: Nick Maslov, Sam Moore & Mihai Vasile | ||
| Thu 21 Jan |
18:00-18:55 |
ZOOM |
1 |
Tute-1: Louis Kemp & Camilo Mosquera |
||
| Sat 23 Jan | 11:00-13:00 | ZOOM |
1 |
Class-1 |
We will discuss the
collection paper and any questions arising from your inter-term revision efforts. |
|
| Sun 24 Jan |
11:00-13:00 |
ZOOM |
2 |
Stat Phys Class-1 | We will discuss the collection
paper and any questions arising from your inter-term revision efforts. |
|
| II |
Mon 25 Jan |
11:00-12:00 |
ZOOM | 1 |
ODE/Normal Modes Lecture 3 |
|
| Tue 26 Jan |
11:00-12:00 |
ZOOM | 1 |
ODE/Normal Modes Lecture 4 |
||
| 18:00-18:55 |
Grove 1.8 |
2 |
Tute-1: Andrei Eftime & Jeremi Litarowitz | PS-4
(vac work) due Sun 10 Jan at 23:59 in the Dropbox |
||
| Wed 27 Jan |
17:00-17:55 |
Grove 1.8 |
2 |
Tute-1: Rishin Madan & William Isotta | ||
| 18:00-18:55 |
Grove 1.8 |
2 |
Tute-1:
Alex Christie & Benedict Yorston |
|||
| Thu 28 Jan |
18:00-18:55 |
Grove 1.8 |
2 |
Tute-1: Andrei Cristea & Megan Evans |
||
| Fri 29 Jan |
11:00-13:00 |
ZOOM |
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 1 Feb |
11:00-12:00 |
ZOOM | 1 |
ODE/Normal Modes Lecture 5 |
|
| Tue 2 Feb |
11:00-12:00 |
ZOOM | 1 |
ODE/Normal Modes Lecture 6 |
||
| 18:00-18:55 |
Grove 1.8 |
1 |
Tute-2: Theo Iosif, Mihai Vasile & Agi Wierzchucka | HT-2 due
Sun 31 Jan @23:59 |
||
| Wed 3 Feb |
17:30-18:55 |
Grove 1.8 |
1 |
Tute-2: Nick Maslov & Sam Moore | ||
| Thu 4 Feb |
18:00-18:55 |
Grove 1.8 |
1 |
Tute-2: Louis Kemp & Camilo Mosquera | ||
| Fri 5 Feb |
17:00-18:55 |
ZOOM |
2 |
Stat
Phys Class-2 |
PS-5 (try it before class,
prepare questions) Fundamentals of Stat Mech; stat mech of the ideal gas |
|
| IV |
Mon 8 Feb |
10:00-11:00 |
ZOOM | 4 |
MMathPhys:
MHD Lecture 1 |
|
| 17:00-18:00 |
ZOOM | 4 |
MMathPhys:
MHD Lecture 2 |
|||
| Tue 9 Feb |
18:00-18:55 |
Grove 1.8 |
2 |
Tute-2: Andrei Eftime & Jeremi Litarowitz | PS-5 due
Sun 7 Feb @23:59 |
|
| Wed 10 Feb |
17:00-17:55 |
Grove 1.8 | 2 |
Tute-2: Rishin Madan & Megan Evans | ||
| 18:00-18:55 |
Grove 1.8 | 2 |
Tute-2: Alex Christie & Benedict Yorston | |||
| Thu 11 Feb |
18:00-18:55 |
Grove 1.8 |
2 |
Tute-2: Andrei Cristea & William Isotta | ||
| Fri 12 Feb |
11:00-13:00 |
Grove 1.8 |
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 |
Mon 15 Feb |
10:00-11:00 |
ZOOM | 4 | MMathPhys:
MHD
Lecture 3 |
|
| 17:00-18:00 |
ZOOM | 4 |
MMathPhys:
MHD
Lecture 4 |
|||
| Wed 17 Feb |
17:30-18:55 |
Grove 1.8 |
1 |
Tute-3: Nick Maslov, Sam Moore & Mihai Vasile | HT-4 due Sun 14 Feb @23:59 | |
| Thu 18 Feb |
17:00-17:55 |
Grove 1.8 |
1 |
Tute-3: Theo Iosif & Agi Wierzchucka | ||
| 18:00-18:55 |
Grove 1.8 |
1 |
Tute-3: Louis Kemp & Camilo Mosquera |
|||
| Fri 19 Feb |
11:00-13:00 |
ZOOM |
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 |
|
| 17:00-18:55 |
ZOOM |
2 |
Stat
Phys Class-3 |
PS-6 (try it before class,
prepare questions) Applications of Stat Mech; open systems |
||
| VI |
Mon 22 Feb |
10:00-11:00 |
ZOOM |
4 |
MMathPhys:
MHD
Lecture 5 |
|
| 17:00-18:00 |
ZOOM |
4 |
MMathPhys:
MHD
Lecture 6 |
|||
| Tue 23 Feb |
18:00-18:55 |
Grove 1.8 |
2 |
Tute-3: Andrei Eftime & Jeremi Litarowitz | PS-6 due
Sun 21 Feb @23:59 |
|
| Wed 24 Feb |
17:00-17:55 |
Grove 1.8 |
2 |
Tute-3: Rishin Madan & Megan Evans | ||
| 18:00-18:55 |
Grove 1.8 |
2 |
Tute-3: Alex Christie & Benedict Yorston | |||
| Thu 25 Feb |
18:00-18:55 |
Grove 1.8 |
2 |
Tute-3: Andrei Cristea & William Isotta | ||
| Fri 26
Feb |
17:00-18:55 |
ZOOM |
2 |
Stat Phys Class-4 |
PS-7
(try it before class, prepare questions) Quantum gases |
|
| VII |
Mon 1 Mar |
10:00-11:00 |
ZOOM |
4 |
MMathPhys:
MHD
Lecture 7 |
|
| 17:00-18:00 |
ZOOM |
4 |
MMathPhys:
MHD
Lecture 8 |
|||
| Tue 2 Mar |
18:00-18:55 |
Grove 1.8 |
1 |
Tute-4: Theo Iosif & Agi Wierzchucka | HT-5 due
Sun 28 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 day!) |
|
| Wed 3 Mar |
17:30-18:55 |
Grove 1.8 |
1 |
Tute-4: Nick Maslov, Sam Moore & Mihai Vasile | ||
| Thu 4 Mar |
18:00-18:55 |
Grove 1.8 |
1 |
Tute-4: Louis Kemp & Camilo Mosquera | ||
| VIII |
Mon 8 Mar |
10:00-11:00 |
ZOOM |
4 |
MMathPhys:
MHD
Lecture 9 |
|
| 17:00-18:00 |
ZOOM |
4 |
MMathPhys:
MHD
Lecture 10 |
|||
| Tue 9 Mar |
18:00-18:55 |
Grove 1.8 |
2 |
Tute-4: Andrei Eftime & Jeremi Litarowitz | PS-7 due
Sun 7 Mar @23:59 (this problem set is long and difficult, do not leave it until the last day!) |
|
| Wed 10 Mar |
17:00-17:55 |
Grove 1.8 |
2 |
Tute-4: Rishin Madan & Megan Evans | ||
| 18:00-18:55 |
Grove 1.8 |
2 |
Tute-4: Alex Christie & Benedict Yorston | |||
| Thu 11 Mar |
18:00-18:55 |
Grove 1.8 |
2 |
Tute-4: Andrei Cristea & William Isotta | ||
| Fri 12 Mar |
17:00-18:55 | 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-2021 (with C. Ramsey) |
||||
| 2 |
Vacation
work: PS-8 |
Tute in
TT-2021 (with J. Robertson) |