Mathematical physics

Dir­ect­ors of the spe­cial­iz­a­tion

Antti Kupiainen and Jani Lukkarinen

Per­sons re­spons­ible for dis­cuss­ing the study plans

Antti Kupiainen and Jani Lukkarinen

Model study plans

Ex­ample 1

This example concerns a student interested in learning a solid background in mathematical methodology in analysis and probability, as well as in their applications in Physics.  The student considered in the example did not do Vector analysis II in the candidate studies so these courses need to included in the master studies.

Year 1, Autumn:

     Vector analysis II, 5 cr.
     Real analysis, 5 cr.
     Functional Analysis, 10 cr.
     Stochastic Methods (TCM 310), 10 cr.
       or Probability theory I and II, 5 cr. + 5 cr.

Year 1, Spring:

     Partial differential equations I, 10 cr.
         or Complex Analysis I and II, 10 cr.
     Fourier analysis I and II, 5 cr. + 5 cr.
     Physics or numerics courses, in total 10 cr.,
         or Introduction to mathematical physics, 10 cr.,
        or Hamiltonian dynamics, 10 cr.,
        or Quantum dynamics, 10 cr.,
        or Kinetic Theory (TCM 309), 10 cr.,
        or other courses taught by Mathematical Physics group members

Year 2, Autumn:

     Physics courses,
        and/or courses taught by Mathematical Physics group members,
        and/or advanced Mathematics courses,
        in total 15 cr.
     Pro gradu work seminar starts
     Pro gradu work starts

Year 2, Spring:

     Pro gradu, 30 cr, completed + Pro gradu seminar 5 cr.
     Introduction to mathematical physics, 10 cr.,
        or Spectral theory, 10 cr.,
        or Hamiltonian dynamics, 10 cr.,
        or Quantum dynamics, 10 cr.,
        or Kinetic Theory (TCM 309), 10 cr.,
        or other courses taught by Mathematical Physics group members,
         or other courses supporting the Pro Gradu -work,
         in total 10 cr.

Ex­ample 2

This example concerns a student who is interested in Mathematical physics and who is interested in applying to graduate school after completing their master's degree.  The example is based on the assumption that the student has chosen Vector analysis II courses in their candidate studies.

Year 1, Autumn:

     Physics course or numerics course, 5 cr.
     Real analysis I, 5 cr.
     Functional Analysis, 10 cr.
     Probability theory I and II, 5 cr. + 5 cr.
       or Stochastic Methods (TCM 310), 10 cr.

Year 1, Spring:

     Partial differential equations I, 10 cr.
         or other supporting Mathematics courses
     Fourier analysis I and II, 5 cr. + 5 cr.
     Introduction to mathematical physics, 10 cr.,
        or Hamiltonian dynamics, 10 cr.,
        or Quantum dynamics, 10 cr.,
        or Kinetic Theory (TCM 309), 10 cr.,
        or other courses taught by Mathematical Physics group members,
        or Physics or numerics courses, in total 10 cr

Year 2, Autumn:

     Physics courses,
        and/or courses taught by Mathematical Physics group members,
        and/or advanced Mathematics courses,
        in total 15 cr.
     Pro gradu work seminar starts
     Pro gradu work starts

Year 2, Spring:

     Pro gradu, 30 cr, completed + Pro gradu seminar 5 cr.
     Introduction to mathematical physics, 10 cr.,
        or Spectral theory, 10 cr.,
        or Hamiltonian dynamics, 10 cr.,
        or Quantum dynamics, 10 cr.,
        or Kinetic Theory (TCM 309), 10 cr.,
        or other courses taught by Mathematical Physics group members,
         or other courses supporting the Pro Gradu -work