BRAIK Abdelkader2026-06-102026-06-102026https://dspace.univ-chlef.dz/handle/123456789/2469Intended for students of: LMD Bachelor’s Degree (First Year Common Core) Subject: Mathematics (Analysis 1)This document includes a set of introductory and fundamental concepts for building a solid foundation in analysis and deduction for university students. It also develops students’ research and discovery abilities through analysis and synthesis, building upon their prior and current knowledge. The primary objective of the program content presented in this publication is to cultivate students capable of addressing problems scientifically and rigorously, developing their computational skills, and exploring new techniques. There is no doubt that everything you learned in mathematics during your previous school years, and especially in high school, is of paramount importance. However, higher education aims to teach you how to deepen, develop, and explore this knowledge! The first year lays the foundation, familiarizes you with the tools you will need later on, and allows you to use them effectively. It is also an opportunity to discover the many applications of mathematics in most fields, including physics, chemistry, economics, and many others. This is where the true beauty and richness of mathematics lies, from the infinitely large (limits) to the infinitely small (derivatives), from measuring lengths (absolute values) to areas and volumes (integration), and countless other creative possibilities. The lessons are presented very clearly with many examples, allowing students to fully understand the program. In each lesson, we have provided practice exercises. This document contains six chapters.Working Paper