Department of Mathematics

Lecturer	Ali REZAIGUIA
Information	Master - Applied Mathematics Department of Mathematics Website : https://www.univ-soukahras.dz/en/module/956 Semester : S3 Unit : UEM3 Credit : 3 Coefficient: 2
Content	1. Differential equations (The Cauchy problem): Maximum solutions, local and global uniqueness, solutions of the Cauchy problem: Lipschtzian case, solutions of the Cauchy problem: continuous case, ends of a maximal solution. 2. The flow of a differential equation: Inequalities verified by the solutions of a differential equation, the continuity of the flow, differential equations depending on a parameter, the differentiability of the flow. 3. Linear differential equations: General properties, homogeneous linear differential equations, method of variation of the constant, study of the solving equation, autonomous homogeneous linear differential equations in Rn.
Evaluation	- Final exam = 67% - Continuous work (33%) = Micro interrogation (10 points) + Participation (05 points) + Discipline (05 points).