Lectures related to Properties of Divisibility

Covers the concept of natural numbers, including properties like commutativity and associativity.

Rational Numbers: Definitions and Operations

Covers the definition and operations involving rational numbers.

Explores polynomial operations, properties, and subspaces in vector spaces.

Covers the basic concepts of rational numbers and algebraic operations, including addition, subtraction, multiplication, and division.

Definition of Complex Numbers Field

Introduces complex numbers and defines their field, emphasizing properties and operations.

Linear Equations and Matrices: Solution Methods, Elementary Operations

Explores solution methods and elementary operations for linear equations and matrices, demonstrating techniques to simplify systems and obtain solutions.

Linear Algebra in 3D: Matrices and Determinants

Covers linear algebra in three dimensions, focusing on matrices and determinants.

Linear Algebra: Matrices and Operations

Covers the basics of linear algebra, focusing on matrices and operations.

Complex Numbers: Operations and Applications

Covers the properties and operations of complex numbers and their applications.

Modular Arithmetic: Operations and Polynomials

Covers modular arithmetic operations and polynomial calculations modulo N with various examples.

Subtraction: Properties and Definitions

Covers the properties and definitions of subtraction using addition and multiplication as a basis.

Linear Combinations and Vector Spaces

Introduces linear combinations in vector spaces, operations, and polynomials of degree 2.

Complex Numbers and 2x2 Matrices

Covers complex numbers, quadratic equations, solutions in C, and 2x2 matrices.

Division: Properties and Quotient

Explores the properties of division in natural numbers and its relation to multiplication.

Analyse 2: Division euclidienne

Explores the process of division euclidienne in polynomials, emphasizing the importance of polynomial degrees during operations.

Understanding Equivalence Relations and Integer Construction

Covers the construction of integers through equivalence relations and their properties in mathematics.

Complex Numbers: Operations and Representations

Explores complex numbers, their operations, and representations in Cartesian and polar forms.

Microwave Circuit Characterization: Flow Charts and Reduction Rules

Covers circuit characterization using flow charts and reduction rules.

Element-Wise Operations

Covers element-wise operations in MATLAB and Octave using matrices and vectors.

Polynomials, Division, and Ideals

Explores polynomials, their operations, and the concept of ideals in polynomial rings.