Lectures related to Professional degree

Explores directed networks with asymmetric relationships and hypergraphs that generalize graphs by allowing edges to connect any subset of nodes.

Explores irreducible polynomials, focusing on their degree and roots in different fields.

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

Covers the topology of Riemann surfaces, focusing on orientation and orientability.

Covers the concept of degree in homotopy theory and the structure of complexes with two simplices.

Covers numerical integration methods, focusing on trapezoidal rules, degree of exactness, and error analysis.

Covers the bar construction method, homology groups, classifying space, and the Hopf formula.

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

Delves into local degrees of continuous maps from the sphere, showcasing their role in calculating map degrees.

Covers the theory and applications of elliptic curves in cryptography and number theory.

Covers graphical models for probabilistic distributions using graphs, nodes, and edges.

Covers the fixed points of the Ruelle-Thurston operator and its applications in complex analysis.

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

Covers the normalization process of plane algebraic curves, focusing on irreducible polynomials and affine curves.

Covers mobility exchange criteria, mandatory courses, responsibilities, and recommendations for EPFL's Mechanical Engineering Section.

Covers examples of potentials in virtual work for structural mechanics.

Explores Gauss-Legendre quadrature formulas using Legendre polynomials for accurate function approximation.

Covers the integration of differential forms on smooth manifolds, including the concepts of closed and exact forms.

Introduces the basics of polynomials on a field, focusing on definitions, operations, and properties.

Covers the cup product on cohomology, acyclic models, and the universal coefficient theorem.