Supports de cours et polycopiés

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    Time series : for use third year licence students in applied mathematics
    (2024) DJEBAR, Ahlem
    In this course, I study some elements of time series and some linear models, in accordance with the specialty Licence programs "Applied Mathematics "
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    Non-parametric Statistics: course and exercises
    (Université Badji Mokhtar Annaba, 2025) GOUAL, Hafida
    This handout course on nonparametric statistics provides an accessible introduction to fundamental concepts and methods that do not rely on strict assumptions about data distribution. Students will explore the key differences between parametric and nonparametric inference, gaining insights into when to apply these techniques. The course covers essential topics such as ranks, medians, and order statistics, alongside practical applications of statistical tests like the Mann-Whitney and Kruskal-Wallis tests. Participants will learn to construct nonparametric estimators for cumulative distribution functions and probability density functions, using tools like histograms and kernel density estimation. The course also introduces resampling methods, including the Jackknife and Bootstrap, enabling students to estimate standard errors and build confidence intervals. Through hands-on exercises and examples, students will enhance their ability to perform and interpret nonparametric hypothesis tests, making informed decisions about their use in various scenarios. By the end of the course, participants will be equipped with the knowledge and skills to effectively implement nonparametric methods in their statistical analyses.
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    Recueil d’exercices mathématiques pour les sciences de la matière
    (Université Badji Mokhtar Annaba, 2025) BOUSSEBA, Fatma Zohra
    Ce support pédagogique correspond aux modules Mathématiques 1 et 2 du socle commun en première année, dans le domaine des Sciences de la matière. Il vise à accompagner les étudiants dans l’acquisition des fondamentaux en mathématiques, à travers une progression organisée en chapitres comprenant des rappels théoriques, des exercices corrigés et des exercices d’autoévaluation. Ce guide a pour vocation de faciliter la structuration des connaissances et la transition vers des apprentissages plus complexes.
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    Explanatory Data Analysis : course and exercises
    (Université Badji Mokhtar Annaba, 2025) GOUAL, Hafida
    Exploratory Data Analysis (EDA) is a crucial component of modern statistical practice, originally articulated by John W. Tukey in 1977. It emphasizes the importance of understanding data through visualization, summary, and pattern recognition prior to formal modeling. EDA serves as a foundational tool across various scientific and industrial domains, facilitating the extraction of meaningful insights from complex datasets. This handbook targets third-year undergraduate students in Applied Mathematics, providing a rigorous mathematical foundation while emphasizing practical interpretation and active learning. It progresses from univariate to multivariate analysis, integrating theoretical concepts with real-world applications. The structured approach encompasses essential topics such as descriptive statistics, dimensionality reduction, and multivariate analysis techniques. Ultimately, this text aims to cultivate an analytical mindset, preparing students for advanced studies and professional endeavors in data analysis, echoing Tukey's belief in the value of revealing the unexpected through EDA.
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    Systèmes dynamiques discrets théorie et aspects calculatoires
    (Université Badji Mokhtar Annaba, 2026) SAHARI, Mohamed Lamine
    L’essentiel de l’ouvrage est consacré à l’étude des systèmes discrets. Une attention particulière est portée à l’analyse de la stabilité locale, à l’étude des bassins d’attraction, ainsi qu’aux phénomènes de bifurcation et à l’émergence du comportement chaotique.
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    Mathematics statistics
    (Université Badji Mokhtar Annaba, 2026-02-10) AIDI, Khaoula
    This educational material has been specifically designed for first-year university students in Natural and Life Sciences (SNV1). Its objective is to provide a solid foundation in mathematical analysis as well as probability and statistics, two essential tools for understanding biological, environmental, and physiological phenomena. In scientific studies, mathematics is not merely a theoretical subject; it is a universal language used to model population growth, analyze laboratory experiments, and interpret experimental data. With this in mind, this document was created to bridge theory with biological applications. The first part of the material focuses on mathematical analysis, covering functions, limits, differentiability, integrals, series, and multivariable functions. Each concept is introduced progressively, with illustrative examples related to the biological field whenever possible. The second part deals with probability and statistics, which are indispensable for reading scientific results, analyzing experiments, and understanding quantitative studies. Guided exercises are included to help students practice and gradually build their autonomy. The main goal of this document is to help students approach mathematics not as a challenge, but as a valuable tool in the service of natural sciences.
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    Recueil d'exercices corrigés avec rappels de cours en algèbre et en analyse
    (Université Badji Mokhtar Annaba, 2026-05-24) MERADJI, Selma
    Ce recueil d’exercices corrigés avec rappels de cours est destiné aux étudiants de première année universitaire en sciences de la matière et sciences techniques. Il couvre les notions fondamentales d’algèbre et d’analyse inscrites au programme de première année. Chaque chapitre débute par un rappel synthétique des concepts théoriques essentiels, suivi d’exercices corrigés permettant de mettre en pratique les connaissances acquises. Inspirés des travaux dirigés réalisés en présentiel, ces exercices visent à renforcer la compréhension des notions, à développer le raisonnement mathématique et à préparer efficacement les étudiants aux évaluations et examens. Cet ouvrage constitue ainsi un support pédagogique utile pour l’apprentissage, la révision et la consolidation des bases en mathématiques.