Analysis for engineers - 3MMAI

• Lebesgue integral
• Fourier transform
• Metric and normed linear spaces, Banach spaces
• Differential calculus in Banach spaces

Content of support lectures:

• Analysis:
  o Recalls and complements on integral calculation (change of variable, multiple integrals, ...)
  o Normed linear Space: topology and convergence
  o Reminders on series and sequences of functions
  o Fourrier series
• Algebra:
  o Vector space, linear application, basis, kernel and range
  o Matrix computation: determinant, vectors and eigenvalues,
  o Linear system
  o Group and ring structures

First two yearw of university with major mathematics,or equivalent.

Two written exams (1h30:E1a and E1b) and a lab work in Scilab.

N1=(3*(E1a+E1b)/2+TP)/4
N2=max(E2, (3*(E1a+E2)/2+TP)/4)

The course exists in the following branches:

• Curriculum - Core curriculum - Semester 5

Course ID : 3MMAI
Course language(s):

The course is attached to the following structures:

• Team Analysis-Computational Science

You can find this course among all other courses.

• Boccara, Intégration, Mathématiques pour l’ingénieur, Ellipses.
• R. Reinhard, Eléments de Mathématiques du signal – tome I : signaux deterministes, Dunod, Paris 1997.
• Guichardet, Intégration analyse réelle, Ecole Polytechnique, Ellipse, 1989.
• Rauzy, Mathématiques : Cours d'analyse - Licence L1 et L2 , Eska, 2004
• Escofier, Sinnou : Toute l'algèbre de la licence : Cours et exercices corrigés, Dunod, 2006

Pour se mettre à niveau : le site de M@ths en Ligne : http://ljk.imag.fr/membres/Bernard.Ycart/mel/