Courses and exercisesMaths1 Analysis and Algebra :For students of the common core sciences of matter

Abstract

This handout corresponds to the program for the module: Mathematics 1, which is intended mainly for 1st year LMD students, in the Science of Matter specialty, and we have taken care to follow the o¢ cial program. The objective of this course is to allow the student to make a transition between the knowledge of mathematics acquired in secondary school and the bases of fundamental units such as Analysis (Continuity, Derivable function, etc.) and Algebra (Structure of a Öeld, Vector space, Linear application, etc.),which will constitute one of the pillars in their training of the License. The chapters of this handout are designed as follows: ñ The courses contain simple, precise and regular notions which allow the student to acquire a solid mathematical training necessary to proÖtably explore the vast Öeld of Materials Science Field and they are also illustrated by examples. ñ Each chapter of this course is equipped with solved exercises that allow you to go further in understanding and assimilating the mathematical concepts introduced. They help to provide a working method for learning mathematics and for obtaining a certain number of reáexes in solving problems. The learner must practice resolving the problem situation on their own without resorting to a proposed solution. This document has Öve main chapters, where Sets, Relations, and Applications, Laws of Internal Composition, Structure of Real Number Fields R, Real Functions of a Real Variable, and Vector Spaces