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Mathématiques 1
Aperçu des sections
Module: Mathematics 01
the objective of teaching:The objective of this module is to have students learn data processing methods in order to present, analyze and use observations for problem solving. This material contains the
Analysis part which deals with sets, numerical sequences; digital series; the actual functions...
Semester: 1
Unit: UEF1.1.2
Subject: Mathematics 1
Coefficient. 2 Credit. 4
Class: 1:30 a.m. Tutorial: 1:30 a.m.
Assessment mode: Continuous + Exam
Contents:
1- Sets, Relations, Applications
- Sets of real numbers (axiomatic definition)
- Sets of complex numbers.2- Polynomials and rational fractions.
3- Numerical sequences:
Definition, convergence
4- Numerical series:
- Definition, Elementary properties.
- Numerical series with positive terms: convergence criteria.
- Numerical series with any terms5- Real function of a real variable
- Limits, Continuity Differentiability
- Riemann integral: Definition, calculation of primitives
- 1st order differential equations
- 2nd order differential equations with constant coefficient.
Chapter 01: Sets, Relations, Applications
Description:
The course begins with an axiomatic definition of sets of real numbers,
delving into the fundamental principles governing these sets.
Additionally, it covers the sets of complex numbers,
examining their properties and applications in various mathematical contexts.
Polynômes et Fractions Rationnelles
Description:
This mathematical topic involves the study and analysis of polynomials,
which are expressions consisting of variables raised to non-negative integer powers,
and rational fractions, which are ratios of polynomials.
Numerical Sequences
Descripton:
The course likely begins with an exploration of the fundamental concepts
behind numerical sequences, covering their definition and basic properties.
Additionally, it delves into the concept of convergence,
investigating the behavior of sequences as they approach certain values or limits.
Name: AZIOUNE Mourad