MCS 510 – Applied Functional Analysis

                   Spring  2011 – 2012

               Instructor:  Dumitru Baleanu

              Schedule:

                  Monday: 17:40-20:30 (A 303,O.C.)

               Office Hours:

           Monday 16:40-17:30 ( A 303,Old Campus)

            Catalog Description:

  Distribution theory and Green’s functions, the Delta function, basic distribution theory, convergence of distributions, The integral of a distribution, Applications of Green’s functions, The classical Fourier transform, Distributions of slow growth, generalized Fourier transforms, Banach spaces and fixed point theorems, the contraction mapping theorem, Application to differential and integral equations, Hilbert spaces, orthogonal expansions, bounded operators on normed spaces, eigenvalue problems for self-adjoint operators, variational methods, positive operators, the Rayleigh- Ritz method for eigenvalues, applications.

                 Exam Dates:

 Midterm Exam:     02 / 04 / 2012  Wednesday  18:40