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Cours scientifiques - PHY_1S000_EP : 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, in coordination with PHY104: Electromagnetism and Light. Vector analysis spans the differentiation and integration of vectors in two and three-dimensional 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 then use this tool to solve the wave equation on a finite domain. 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…).

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

Vous devez avoir validé l'équation suivante : UE MEC_1F000_EP

Format des notes

Numérique sur 20

Littérale/grade américain

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

Vos modalités d'acquisition :

The course is evaluated as follows

  • continuous assessment (30% of final grade): short in-class tests (about 4 tests of 15-20 minutes) and/or homeworks
  • final written exam (closed book, 2 hours, 70% of final grade)

Remedials consist of a 1-hour, closed book, written exam.

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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