الخطوط العريضة للقسم

  • 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