Math Method course  aa 20122013
In general Prof. Citti will teach on Monday and Prof. Ferri on Friday.
However changements are possible, and we suggest to check regularly this page
On Friday, October 26 2012, Prof. Citti will teach
Exam:

An (optional) middterm 1,30 hours : 4 exercices. topic covered by the midterm:
 establish where a given function is holomorphic (see exercice 12 in notes)
 Integrate the given functions (see exercice 4 pag 54 in notes)
 use residues to compute integrals (see exercice 14 pag 114 in notes)
 compute integrals on $\R$ using residues

Students who passed the middlte term can come on the day of the oral to

Students who did not pass the middlte term will have to repeat a test on all the exercices
 they can take a make up midterm, (1h + 30 minutes) and then afford the exercice on eigenfunctions on the day of the oral
 alternatively they can choose afford all the exercices (the 4 exercices of the middle term and the one on eigenfunctions (= 2hours). In this case they will only discuss oral on the day of the oral
Dates:

Dates of the written exam or midterm recovery
 22 Dec. 2012, 9.00 AM, classroom 5.7
 25 Jan. 2013, 14. PM, classroom 6.2
 15 Feb. 2013, 14 PM, classroom 6.2.

Dates for the oral exam:
 7 Jan. 2013, 9:00 AM, classroom "Tonelli" (Maths. Dept., 6th floor)
 31 Jan. 2013, 9:00 AM, classroom "Tonelli" (Maths. Dept., 6th floor)
 20 Feb. 2013, 9:00 AM, classroom 4.2
Program of the course

Functions of complex variables and residue

Introduction to couontable basis of an Hilbert space:
Fourier analysis, Bessel Functions, Zernike Polynomials.
Notes and suggested reading

Functions of complex variables and residue. You can as well use
 Detailed description of the topic afforded in class.
Functions of complex variables
Hilbert spaces:
Suggested exercices
Results of the written tests
november 2012
december 2012
previous years program and notes
