Lectures related to Engineer's degree

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

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

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 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 examples of potentials in virtual work for structural mechanics.

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.

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

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

Explores error analysis and limitations in interpolation on evenly distributed nodes.

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

Covers the functional equation of zeta function and Jensen's formula in complex analysis.