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Lecture
Complex Numbers: Operations and Applications
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Polynomials, Division, and Ideals
Explores polynomials, their operations, and the concept of ideals in polynomial rings.
Complex Numbers: Operations and Representations
Explores complex numbers, their operations, and representations in Cartesian and polar forms.
Polynomials: Operations and Properties
Explores polynomial operations, properties, and subspaces in vector spaces.
Sequences: Definitions and Examples
Covers solving equations over complex numbers, sequences, induction, and properties of complex numbers.
Complex Numbers: Operations and Applications
Explores complex number properties, roots, and polynomial equations in the complex plane.
Definition of Complex Numbers Field
Introduces complex numbers and defines their field, emphasizing properties and operations.
Complex Numbers and 2x2 Matrices
Covers complex numbers, quadratic equations, solutions in C, and 2x2 matrices.
Analyse 2: Division euclidienne
Explores the process of division euclidienne in polynomials, emphasizing the importance of polynomial degrees during operations.
Linear Combinations and Vector Spaces
Introduces linear combinations in vector spaces, operations, and polynomials of degree 2.
Complex Numbers: Properties and Operations
Explores complex numbers, Euler's formula, Moivre's formula, and proof by induction.