Maths2 - st Courses and corrected exercise

Abstract

This course is intended for first-year university students in the technical sciences (ST) sector. It covers the mathematics module “Maths2” with the harmonized program of the LMD system. It is the result of long years of teaching courses and tutorials in the Sciences Faculty of Tlemcen University. Inspired by my own educational experience, I wrote it in simple language, introducing theoretical notions through practical examples and gave ultimate priority to pedagogy, even if it meant making my impending mathematics teachers scold! A minimum of sentences explains the procedure to follow to solve an exercise and multiple examples illustrate most possible cases. My challenges were first of all to simplify the theoretical notions in order to bring the student in this sector – generally not very interested in pure mathematics – closer to everything that can encourage them to acquire logical thinking. Then secondly, to give - as many times as possible - the solutions to the proposed exercises! Because oh how many times I was disappointed not to find the solution to an interesting problem in the book I held in my hands. This typescript follows the official harmonized program and is divided into chapters, each chapter is made up of several lessons, followed by a series of exercises to definitively fix the ideas, because a wise man once said: “methods are the economies of memory and the habits of mind”. I hope from the bottom of my heart that this modest work can help anyone in difficulty in the chapters presented. Like anything produced by a human, this book is far from perfect, but its author remains open mind and heart to any comments or suggestions that could raise his level and/or correct his errors.