Department of Mathematics

Lecturer	Brahim ABDELMALEK
Information	Master - Applied Mathematics Department of Mathematics Website : https://www.univ-soukahras.dz/en/module/945 Semester : S2 Unit : UEM2 Credit : 6 Coefficient: 3
Content	1. Preliminaries, adjoint and conjugate operators, differential and adjoint operator. 2. Functional calculation of unbounded operators. Introduction to functional calculus, Riesz projections and finite type eigenvalues, distribution of the spectrum at infinity, disturbance theorems. 3. Unbounded Fredholm operators and disturbance theorems, The norm of the graph, Fredholm operators and essential spectrum, Atkinson theorem, additive disturbances.
Evaluation	10-point micro-interrogation Participation 03 points Attendance 02 points duty 05 points