To provide the student with applied mathematical tools for solving problems in physics. To treat basic problems of non linear physics
1) Elements of variational calculus The brachistochrone problem, Euler equations, examples of applications. 2) Classification of second order partial differential equations. 3) Introduction to problems in non linear physics 4) Special functions in mathematical physics Bessel fucntions, modified and spherical Bessel functions, Legendre polynoms, associated Legendre functions, spherical harmonics, orthogonal polynoms, hypergeometric confluent functions
Oral exam (theory), written paper (exercices).
G. B. Arfken & H. J. Weber, Mathematical Methods for Physicists, 6th Ed., Elsevier Academic Press, 2005.