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Cours scientifique - LAB151 : Maths in Practice: Vector and Fourier Analysis

Domaine > Physique.

Descriptif

In this course, we introduce vector and
Fourier analysis from a hands-on, application-
oriented perspective. Vector
analysis spans the differentiation and
integration of vectors in two and threedimensional
space, eventually culminating
with Green’s theorem in the plane
and its higher-dimensional generalization,
Stokes’ theorem. Changing gears,
we introduce the concept of Fourier
series, which give an approximation of
periodic functions as an infinite sum of
cosines and sines.
We conclude the course with a gentle
introduction to Fourier transforms,
viewed as a limit of Fourier series in the
limit of infinite periodicity. Besides their
intrinsic mathematical interest, these
tools are widely used in Physics (Electromagnetism,
Fluid mechanics, Quantum
mechanics…), signal processing and areas
of Economics (cycle analysis in financial
markets and business models).

Format des notes

Numérique sur 20

Littérale/grade américain

Pour les étudiants du diplôme Bachelor of Science de l'Ecole polytechnique

Le rattrapage est autorisé (Note de rattrapage conservée écrêtée à une note seuil de 10)

    La note obtenue rentre dans le calcul de votre GPA.

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