Algèbre 1 نسخ 2

In this section, I'm providing you with the course plan for Linear Algebra 1, designed specifically for first-year mathematics students. Enclosed within the following plan is a comprehensive syllabus, complete with a meticulously structured schedule detailing the specific skills and topics to be covered throughout the course.

1 Logic Concepts 

1.1 Assertions (Propositions)

1.2 Mathematical Quantifiers 

1.3 Logical reasoning for proofs

2 Sets and applications 

2.1 Definitions

2.2 Functions and Applications

3 Relations 

3.1 Generalities of relations

3.2 Representation of a binary relation

3.3 Properties of a Binary Relation on a Set 

3.4 Equivalence Relation

3.5 Order Relation 

4 Some algebraic structures 

4.1 Laws of internal composition

4.2 Groups

4.3 Ring Structure

4.4 Field Structure

5 Polynomials ring 

5.1 Construction of polynomials ring 

5.2 Arithmetics of polynomials

5.3 Polynomial squares, degree and multiplicity