Mathematical tools: Difference between revisions

Revision as of 22:40, 23 May 2017

Bessel function for the drums

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.

Evaluation (3 ECTS)
- a few exercices during the tutorials
- final exam : 3 hours, written exam

@@ Line 4: / Line 4: @@
 * 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.