Mathematics statistics
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Date
2026-02-10
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Université Badji Mokhtar Annaba
Abstract
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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Keywords
function of a real variable; the primitive function and integrals; numerical series; one-dimensional descriptive statistics; combinatorial analysis and probability