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Related lectures (32)

The Degree of a Covering Space

Shows the equivalence between the index of a covering space's fundamental group and the degree of the covering space.

Master Thesis and Internships

Covers the process of completing a Master thesis project and internships at EPFL.

Error Analysis and Interpolation

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

Cohomology: Cup Product

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

Introduction to Finite Fields

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

Functional Equation of Zeta

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

SIE Master Application Evaluation

Delves into the evaluation process for the SIE Master application at EPFL, focusing on candidate selection and academic assessment.

Orientation and degrees

Covers the concept of orientation and degrees in topology, focusing on assigning orientations to manifolds.

Characteristic Polynomials and Similar Matrices

Explores characteristic polynomials, similarity of matrices, and eigenvalues in linear transformations.

Untitled

Projective Plane Curves

Introduces projective plane curves, degrees, components, multiplicities, intersection numbers, tangents, and multiple points, culminating in the statement of Bézout's theorem and its consequences.

Important Examples: Operations and Multiplication

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

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