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A new generation of engineers
A new generation of engineers

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Numerical analysis - 3FME1009

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  • Number of hours

    • Lectures : 12.0
    • Tutorials : 6.0
    • Laboratory works : 0
    • Projects : 0
    • Internship : 0
    ECTS : 22.0

Goals

Learning outcomes :

  • To know the basics of linear numerical analysis, the basics of non-linear numerical analysis, and their applications (least squares, decomposition into singular values, interpolation, integration of differential equations and PDEs, etc.)
  • To know the algebra bases that make it possible to create matrices whose use makes it possible to solve data representation problems and to provide indications on the solution of differential problems (Matrix calculation; scalar functions of space vector; Line, slope, curvature in space; Gradient, Hessian; Linear and quadratic functions; Taylor development of a vector function; Non-linear algebraic equation systems; iterative method; Newton Raphson method; heuristic methods - gradient only - gradient and Hessian type Newton - unidimensional optimization).

Content

Basics of mathematical analysis (linear analysis and applications)

Linear algebra oriented toward data representation and solving differential problems



Prerequisites

Mathematics Course I.
In particular, matrix calculation is an essential basis. Ensure that the math I elements are mastered.
Polynomials are very important
To a lesser extent, Taylor, complex and rational fractions

Tests

Written exam
The exam can be recovered in session 2



note = note du DS et TD

Additional Information

Curriculum->Pagora Engineer - Student->Semester 6


Sécurité-Environnement
ras

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Date of update July 23, 2020

Université Grenoble Alpes