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Mathematical Methods in Physics III, fall 2012 (Fysiikan matemaattiset menetelmät III, syksy 2012)


Jouko Mickelsson


10 cu.


Advanced studies. Common with theoretical physics (course code 53713) and mathematical physics at
the department of mathematics.


The previous mathematical methods courses in physics or
the basic and intermediate courses in mathematics.
A first course in algebra is recommended.


The program of the course includes an introduction to group theory, topology, and geometry for applications in physics. The aim is to give tools for studies in quantum physics: Particle physics,
atomic and nuclear physics, condensed matter theory.


Monday and Tuesday 10 - 12, periods 1-2, in B121/Exactum. First lecture: Monday, September 3.


Written examination: December 14, 8.30am - 12.30 noon in Exactum A111 and B123. Additional credits from solved home work problems.

NEXT EXAMINATION:  March 5, 12.00 - 16.00 in Exactum A111 and B123.

Course material:

The lecture notes by Claus Montonen/Esko Keski-Vakkuri/Jouko MickelssonFYMM III \
to be extended later
with additions by Marco Panero and by JM.
Additional useful reading (not compulsory):
H.F. Jones Groups, Representations and Physics (IOP Publishing, 1998); M. Nakahara Geometry, Topology and Physics (IOP Publishing, 2003). W. Fulton, J. Harris: Representation theory. A first course. Graduate Texts in Mathematics, 129. Readings in Mathematics. Springer-Verlag, New York, 1991


Unohditko ilmoittautua? Registration Mitä tehdä.

Laskuharjoitukset/Exercise classes

Wednesdays 10 - 12 in PHY D114. First session September 12.
Instructor: Henri Sulku, e-mail henri.sulku at

Problem set 1

Problem set 2

Problem set 3

Problem set 4 ; solution to the exercise 3

Problem set 5 ; solution to the exercise 5

Problem set 6

Problem set 7

Problem set 8 ; solution to the exercise 5

Problem set 9 ; solution to the exercise 6

Problem set 10

Problem set 11

Problem set 12 ; solution to the exercise 4

Problem set 13

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