Lectures related to Complex Numbers: Operations and Applications

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

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

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

Covers solving equations over complex numbers, sequences, induction, and properties of complex numbers.

Explores complex number properties, roots, and polynomial equations in the complex plane.

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

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

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

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

Explores complex numbers, Euler's formula, Moivre's formula, and proof by induction.

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

Covers the introduction to complex numbers and their properties, including historical background and norm calculation.

Covers the properties and operations of vector spaces, including addition and scalar multiplication.

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

Explores complex numbers, arguments, modules, and polynomial equations with complex coefficients.

Covers the elementary properties of complex numbers and how to find real and imaginary parts.

Covers operations on complex numbers, polar coordinates, and polynomial solutions.

Covers the elementary properties of complex numbers through examples and discusses the regions of the complex plane.

Covers the representation and properties of complex numbers, including real and imaginary parts and geometric applications.

Introduces abstract concepts in linear algebra, focusing on operations with vectors and matrices.