DSpace Collection: Department of Maths - قسم الرياضيات Department of Maths - قسم الرياضيات http://localhost:8080/jspui/handle/123456789/463 2026-04-14T12:35:27Z 2026-04-14T12:35:27Z محاضرات في مقياس Stability of Solutions of Ordinary Differential Equations saci ساسي, atef عاطف http://localhost:8080/jspui/handle/123456789/1097 2026-04-12T09:42:42Z 2025-11-18T00:00:00Z Title: محاضرات في مقياس Stability of Solutions of Ordinary Differential Equations Authors: saci ساسي, atef عاطف Abstract: This document presents a module on stability of ODE solutions, intended for first-year master's students in mathematics. It is organized as follows: ∙ Chapter 1: Fundamentals of ODEs, including the Cauchy problem, linear systems (with variable/constant coefficients), and Floquet theory for periodic systems. ∙ Chapter 2: Notion of Lyapunov stability, with a focus on linear and nonlinear systems. ∙ Chapter 3: In-depth study of stability, particularly the stability of the zero solution for both linear and nonlinear systems. ∙ Chapter 4: In this chapter, you will find Directed Work problems reinforcing concepts from earlier chapters along with actual exam questions from previous years. The objective is to provide both theoretical foundations and practical applications. 2025-11-18T00:00:00Z Algèbre II: Cours et exercices barkat بركات, omar عمار http://localhost:8080/jspui/handle/123456789/1040 2025-12-14T08:40:00Z 2025-10-14T00:00:00Z Title: Algèbre II: Cours et exercices Authors: barkat بركات, omar عمار Abstract: Dans le cadre du système LMD, ce polycopié est principalement destiné aux étudiants de première année mathématiques et informatique, ainsi que tout lecteur ayant besoin d'outils de bases d’Algèbre linéaire. Nous notons ici que le contenu de la publication est pleinement conforme au programme officiel approuvé par le ministère de l'Enseignement supérieur et de la Recherche scientifique pour le cours d'algèbre 2 du deuxième semestre. 2025-10-14T00:00:00Z Descriptive Statistics and Introduction to Probability khallout خلوط, rania رانية http://localhost:8080/jspui/handle/123456789/1029 2025-12-10T08:32:33Z 2025-10-14T00:00:00Z Title: Descriptive Statistics and Introduction to Probability Authors: khallout خلوط, rania رانية Abstract: This course is designed for first-year undergraduate students in Mathematics and Computer Science. It covers key concepts in descriptive statistics and probability theory, including statistical vocabulary, graphical data representation, and numerical data representation. Students will also learn combinatorial analysis (counting) and explore probability and conditional probability to build foundational skills in data analysis and statistical reasoning. 2025-10-14T00:00:00Z