Lectures related to Analyse 2: Division euclidienne

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

Explores the Stein algorithm for polynomial identity testing and the minimization of a cut problem.

Delves into using polynomials for combinatorial computations and explores operations and identities with binomial coefficients.

Covers polynomial identity testing using oracles and random point evaluation, with applications in graph theory and algorithmic aspects.

Covers important examples related to operations and multiplication in real vector spaces.

Covers irreducible polynomials, fundamental theorem of algebra, and factorization in complex and real polynomials.

Covers polynomials, their operations, division theorem, and provides illustrative examples.

Introduces Reed Solomon Codes, their applications, polynomial definitions, interpolation, roots, and the Fundamental Theorem of Algebra.

Explains how to find particular solutions for first-order differential equations using different types of functions.

Explores Viète's formula for finding roots of degree two polynomials and their significance.

Explores the properties and applications of finite fields, including isomorphism and cyclic properties.

Explores complex polynomials, factorization, roots of equations, equilateral triangles, and infinite sums in sequences.

Explains the Euclidean division of polynomials and demonstrates its application through examples and root-based divisibility.

Covers the fundamentals of polynomials, endomorphisms, division, roots, matrices, and algebraic homomorphisms.

Explores polynomial equations, their degree, solutions, and domain definition.

Covers the least squares method for approximating data and handling errors.

Explores examples and properties of continuous functions, including limits and continuity.

Explores vector spaces, focusing on properties, examples, and subspaces within a practical exercise on polynomials.

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

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