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* tutor : Guillame Roux | * tutor : Guillame Roux | ||
* '''Syllabus''' | * '''Syllabus''': Course built on miscellaneous small chapters, based on examples. The goal is to recall and/or introduce useful mathematical tools with hands on. | ||
Course built on miscellaneous small chapters, based on examples. | ** Functionals : derivation, integration and constraints. | ||
The goal is to recall and/or introduce useful mathematical tools with hands on. | ** Matrices : exponential, determinants. | ||
** Around the gaussian, steepest descent method. | |||
**Functionals : derivation, integration and constraints. | ** Hilbert spaces, linear operators, distributions, orthogonal polynomials. | ||
**Matrices : exponential, determinants. | ** Complex analysis : analycity, calculus. | ||
**Around the gaussian, steepest descent method. | ** Differential equations : Green's function, method of characteristics, non-linear examples. | ||
**Hilbert spaces, linear operators, distributions, orthogonal polynomials. | ** Differential geometry : line, surface, volume, curvature, orthogonal coordinates. | ||
**Complex analysis : analycity, calculus. | ** Functions : homogeneous functions, some special functions. | ||
**Differential equations : Green's function, method of characteristics, non-linear examples. | ** Elements of group theory. | ||
**Differential geometry : line, surface, volume, curvature, orthogonal coordinates. | |||
**Functions : homogeneous functions, some special functions. | |||
**Elements of group theory. | |||
Revision as of 22:40, 23 May 2017
- tutor : Guillame Roux
- Syllabus: Course built on miscellaneous small chapters, based on examples. The goal is to recall and/or introduce useful mathematical tools with hands on.
- Functionals : derivation, integration and constraints.
- Matrices : exponential, determinants.
- Around the gaussian, steepest descent method.
- Hilbert spaces, linear operators, distributions, orthogonal polynomials.
- Complex analysis : analycity, calculus.
- Differential equations : Green's function, method of characteristics, non-linear examples.
- Differential geometry : line, surface, volume, curvature, orthogonal coordinates.
- Functions : homogeneous functions, some special functions.
- Elements of group theory.
- bibliography :
- Soon
- Evaluation (3 ECTS)
- a few exercices during the tutorials
- final exam : 3 hours, written exam