Analysis 1 : for first-year sciences and technology

Abstract

with detailed examples. At the end of each chapter exercises of varying degrees of difficulty are presented. This document describes the program for the subject Analysis 1, taught in the first semester to first year en-gineering students, it consists of six chapters, in the first we introduce the field of real numbers then we pass to the chapter of real sequences and their properties, then, the third chapter deals with real functions with one real variable, in particular the notions of continuity and derivability, as well as the study of inverse trigonometric and hyperbolic functions and their inverse, followed by the chapter on the development of Taylor series and ending with the chapter on integr