Selecting Modules for Physics Studies - Which Ones to Choose?

[Maybe_Memorie]

I posted a similar thread a few months ago but the available modules has changed.

I'm interested in space time, black holes, general rel, field theory, quantum mechanics.

I can choose 6 from this

MA3413 Group representations I Lecturer: Prof. Vladimir Dotsenko
MA3421 Functional analysis I Lecturer: Prof. Dmitri Zaitsev
MA3425 Partial differential equations I Lecturer: Prof. John Stalker
MA3427 Algebraic topology I Lecturer: Prof. David Wilkins
MA3429 Differential geometry I [prerequisite: MA2322] Lecturer: Prof. Peter Taylor
MA3431 Classical field theory [prerequisite: MA2342] Lecturer: Prof. Tristan McLoughlin
MA3441 Quantum mechanics I [prerequisite: MA2342] Lecturer: Prof. Michael Fry
MA3443 Statistical physics I [prerequisite: MA2342] Lecturer: Prof. Sinéad Ryan
MA3463 Computation theory and logic I Lecturer: Prof. Colm Ó Dúnlaing
ST3453 Stochastic models in space and time I Lecturer: STATS
ST3455 Modern statistical methods I [prerequisite: ST2352] Lecturer: STATS
MA3481 Mathematical economics I Lecturer: Prof. Eleanor Denny (Economics)

and 6 from this

MA3422 Functional analysis II [prerequisite: MA3422] Lecturer: Prof. Richard Timoney
MA3426 Partial differential equations II [prerequisite: MA3425] Lecturer: Prof. John Stalker
MA3428 Algebraic topology II [prerequisite: MA3427] Lecturer: Prof. David Wilkins
MA3432 Classical electrodynamics [prerequisite: MA3431] Lecturer: Prof. Tristan McLoughlin
MA3442 Quantum mechanics II [prerequisite: MA3441] Lecturer: Prof. Michael Fry
MA3444 Statistical physics II [prerequisite: MA3443] Lecturer: Prof. Stefan Sint
MA346H Algorithmic Entropy Lecturer: Prof. Timothy Murphy
ST3454 Stochastic models in space and time II [prerequisite: ST2352] Lecturer: STATS
ST3456 Modern statistical methods II [prerequisite: ST2352] Lecturer: STATS
MA3482 Mathematical economics II [prerequisite: MA3481] Lecturer: ECON


So far I'm considering
PDE 1 + 2
Algebraic topology 1 + 2
Stat Phys 1 + 2
Classical Field theory 1 + 2
QM 1 + 2
Functional Analysis 1 + 2

I would prefer to swap analysis with group reps since I'm told groups are very important in physics and I only have taken an introductory course to groups. I'm also leaving out differential geometry till next year since it will be available next year followed straight by general rel. Next year I can choose 4 from each of http://www.maths.tcd.ie/undergraduate/Courses11-12/index.php?file=ssmaths

Thanks!

 

[TonyG]

It is great to see your interest in these topics and your plan to choose modules that align with your interests. Based on your interests and the available modules, I would recommend the following combination:

1. MA3413 Group representations I
2. MA3427 Algebraic topology I
3. MA3431 Classical field theory
4. MA3441 Quantum mechanics I
5. MA3443 Statistical physics I
6. MA3463 Computation theory and logic I

These modules cover a good mix of topics such as group theory, topology, field theory, quantum mechanics, statistical physics, and computation theory. They also provide a good foundation for further studies in general relativity and differential geometry.

For the second set of modules, I would recommend:

1. MA3422 Functional analysis II
2. MA3426 Partial differential equations II
3. MA3428 Algebraic topology II
4. MA3432 Classical electrodynamics
5. MA3442 Quantum mechanics II
6. MA346H Algorithmic Entropy

These modules will build upon the concepts covered in the first set and provide a deeper understanding of functional analysis, PDEs, topology, electrodynamics, quantum mechanics, and algorithmic entropy.

Overall, this combination of modules will provide a strong foundation in the areas of space-time, black holes, general relativity, field theory, and quantum mechanics. I would also recommend taking the differential geometry and mathematical economics modules in your next year of studies, as they will complement your understanding of these topics even further.

I hope this helps and wish you all the best in your studies!