Mediaspace scheduled maintenance: Aug 25, 2026 07:00 - 12:00 AM. During this time, videos will be temporarily unavailable. Check status updates.

Concept

Engineer's degree

Related lectures (30)

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

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

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

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

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

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

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

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

Covers the cup product in cohomology, focusing on examples and computations.

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

Covers the basics of finite fields, including arithmetic operations and properties.

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

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

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

Covers examples of potentials in virtual work for structural mechanics.

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