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Mathematical Engineering

Plans d’études

Applied Mathematics 2024-25

Block 1

Courses
Language
Master 1
Master 2
Specialisations/Orientations
Exam
Credits / Coefficient
HSS : Introduction to project
/ Section SHS
Divers enseignants
FR/EN
-
-
Winter session
3
HSS : Project
/ Section SHS
Divers enseignants
FR/EN
-
-
Summer session
3

Group 1

Courses
Language
Master 1
Master 2
Specialisations/Orientations
Exam
Credits / Coefficient
Mathematics projects (master)
MATH-498 / Section MA
Profs divers
FR
  • Project: 10h
  • Project: 10h
Winter/Summer session
During the semester
10

Group 2

Courses
Language
Master 1
Master 2
Specialisations/Orientations
Exam
Credits / Coefficient
Abstract analysis on groups
MATH-416 / Section MA
Monod
EN
-
  • Lecture: 2h
  • Exercises: 2h
Summer session
Oral
5
Advanced analytic number theory (pas donné en 2024-25. Cours donné en alternance tous les deux ans)
MATH-521 / Section MA
EN
-
  • Lecture: 2h
  • Exercises: 2h
Summer session
Oral
5
Algebraic geometry III - selected topics
MATH-535 / Section MA
Schlegel Mejia
EN
-
  • Lecture: 2h
  • Exercises: 2h
Summer session
Oral
5
Algebraic geometry II - schemes and sheaves
MATH-510 / Section MA
Filipazzi, Mukhopadhyay
EN
  • Lecture: 4h
  • Exercises: 4h
-
Winter session
Written
10
Applied biostatistics
MATH-493 / Section MA
Goldstein
EN
-
  • Lecture: 2h
  • Exercises: 2h
  • a
Summer session
During the semester
5
Applied statistics
MATH-516 / Section MA
Mhalla
EN
-
  • Lecture: 1h
  • Exercises: 3h
  • a
Summer session
During the semester
5
Biostatistics
MATH-449 / Section MA
Stensrud
EN
-
  • Lecture: 2h
  • Exercises: 2h
  • a
Summer session
Written
5
Calculus of variations (Cours donné en alternance tous les deux ans)
MATH-437 / Section MA
Michelat
EN
-
  • Lecture: 2h
  • Exercises: 2h
Summer session
Oral
5
Complex manifolds (Pas donné en 2024-25. Cours donné en alternance tous les deux ans)
MATH-473 / Section MA
EN
-
  • Lecture: 2h
  • Exercises: 2h
Summer session
Written
5
Computational linear algebra (pas donné en 2024-25)
MATH-496 / Section MA
EN
-
  • Lecture: 2h
  • Exercises: 2h
Summer session
Oral
5
Computational linear algebra
MATH-453 / Section MA
Kressner
EN
-
  • Lecture: 2h
  • Exercises: 2h
  • a
Summer session
Written
5
Differential geometry IV - general relativity
MATH-530 / Section MA
Moschidis
EN
  • Lecture: 2h
  • Exercises: 2h
-
Winter session
Oral
5
Diophantine approximation (pas donné en 2024-25)
MATH-540 / Section MA
EN
  • Lecture: 2h
  • Exercises: 2h
-
Winter session
Oral
5
Dispersive PDEs (Cours donné en alternance tous les deux ans)
MATH-478 / Section MA
Krieger
EN
-
  • Lecture: 2h
  • Exercises: 2h
Summer session
Oral
5
Distribution and interpolation spaces (Cours donné en alternance tous les deux ans)
MATH-502 / Section MA
Michelat
EN
-
  • Lecture: 2h
  • Exercises: 2h
Summer session
Oral
5
Empirical processes
MATH-522 / Section MA
Limnios
EN
-
  • Lecture: 2h
  • Exercises: 2h
  • a
Summer session
Written
5
Ergodic theory
MATH-518 / Section MA
Richter
EN
  • Lecture: 2h
  • Exercises: 2h
-
Winter session
Oral
5
Error control in scientific modelling
MATH-500 / Section MA
Herbst
EN
  • Lecture: 2h
  • Exercises: 2h
-
  • a
Winter session
Oral
5
Foundations of probabilistic proofs
CS-459 / Section IN
Chiesa
EN
  • Lecture: 4h
  • Exercises: 1h
-
  • a
Winter session
During the semester
6
Gaussian processes (pas donné en 2024-25)
MATH-426 / Section MA
EN
-
  • Lecture: 2h
  • Exercises: 2h
  • a
Summer session
Oral
5
Gödel and recursivity (Cours donné en alternance tous les deux ans )
MATH-483 / Section MA
Duparc
EN
  • Lecture: 2h
  • Exercises: 2h
-
Winter session
Written
5
Harmonic analysis (pas donné en 2024-25. Cours donné en alternance tous les deux ans)
MATH-405 / Section MA
EN
-
  • Lecture: 2h
  • Exercises: 2h
Summer session
Oral
5
Homotopical algebra (Pas donné en 2024-25)
MATH-436 / Section MA
EN
-
  • Lecture: 2h
  • Exercises: 2h
Summer session
Oral
5
HPC for numerical methods and data analysis
MATH-505 / Section MA
Grigori
EN
  • Lecture: 2h
  • Exercises: 2h
-
  • a
Winter session
Oral
5
Integer optimisation (pas donné en 2024-25)
MATH-504 / Section MA
EN
-
  • Lecture: 2h
  • Exercises: 2h
  • a
Summer session
Written
5
Introduction to dynamical systems
MATH-523 / Section MA
Krieger
EN
  • Lecture: 2h
  • Exercises: 2h
-
Winter session
Oral
5
Introduction to riemannian geometry (pas donné en 2024-25)
MATH-422 / Section MA
FR
-
  • Lecture: 2h
  • Exercises: 2h
Summer session
Oral
5
Introduction to stochastic PDEs
MATH-485 / Section MA
Hairer
EN
-
  • Lecture: 3h
  • Exercises: 2h
  • a
Summer session
Oral
5
Lattice models
MATH-434 / Section MA
Hongler
EN
  • Lecture: 2h
  • Exercises: 2h
-
  • a
Winter session
Written
5
Linear algebraic groups (Pas donné en 2024-25)
MATH-479 / Section MA
EN
-
  • Lecture: 2h
  • Exercises: 2h
Summer session
Oral
5
Martingales in financial mathematics
MATH-470 / Section MA
Schmutz
EN
-
  • Lecture: 2h
  • Exercises: 2h
  • a
Summer session
Oral
5
Mathematical modelling of behavior
MATH-463 / Section MA
Bierlaire
EN
  • Lecture: 2h
  • Exercises: 2h
-
  • a
Winter session
Written
5
Metric embeddings (Pas donné en 2024-25)
MATH-513 / Section MA
EN
  • Lecture: 2h
  • Exercises: 2h
-
Winter session
Written
5
Multivariate statistics
MATH-444 / Section MA
Panaretos
EN
-
  • Lecture: 2h
  • Exercises: 2h
  • a
Summer session
Written
5
Nonlinear Schrödinger equations (Pas donné en 2024-25)
MATH-514 / Section MA
EN
-
  • Lecture: 2h
  • Exercises: 2h
Summer session
Oral
5
Nonparametric estimation and inference
MATH-524 / Section MA
Chandak
EN
-
  • Lecture: 2h
  • Exercises: 2h
  • a
Summer session
Written
5
Number theory II.a - Modular forms
MATH-511 / Section MA
Viazovska
EN
-
  • Lecture: 2h
  • Exercises: 2h
Summer session
Oral
5
Number theory II.b - selected topics (Cours donné en alternance tous les deux ans)
MATH-417 / Section MA
Michel
EN
-
  • Lecture: 2h
  • Exercises: 2h
Summer session
Oral
5
Number theory II.c - Cryptography
MATH-489 / Section MA
Jetchev
EN
-
  • Lecture: 2h
  • Exercises: 2h
  • a
Summer session
Written
5
Numerical integration of dynamical systems
MATH-452 / Section MA
Blumenthal
EN
-
  • Lecture: 2h
  • Exercises: 2h
  • a
Summer session
Written
5
Numerical integration of stochastic differential equations
MATH-450 / Section MA
Nobile
EN
  • Lecture: 2h
  • Exercises: 2h
-
  • a
Winter session
Written
5
Numerical methods for conservation laws
MATH-459 / Section MA
Licht
EN
  • Lecture: 2h
  • Exercises: 2h
-
  • a
Winter session
Oral
5
Numerics for fluids, structures & electromagnetics (Pas donné en 2024-25. Cours donné en alternance tous les deux ans.)
MATH-468 / Section MA
EN
  • Lecture: 2h
  • Exercises: 2h
-
  • a
Winter session
Oral
5
Optimal transport (Cours donné en alternance tous les deux ans)
MATH-476 / Section MA
Fernandez-Real
EN
  • Lecture: 2h
  • Exercises: 2h
-
Winter session
Oral
5
Optimization on manifolds (Cours donné en alternance tous les deux ans.)
MATH-512 / Section MA
Boumal
EN
-
  • Lecture: 2h
  • Exercises: 2h
  • a
Summer session
During the semester
5
Probabilistic methods in combinatorics
MATH-467 / Section MA
Janzer
EN
-
  • Lecture: 2h
  • Exercises: 2h
Summer session
Written
5
Randomized matrix computations (Cours donné en alternance tous les deux ans)
MATH-403 / Section MA
Kressner
EN
  • Lecture: 2h
  • Exercises: 2h
-
  • a
Winter session
Oral
5
Regression methods
MATH-408 / Section MA
Davison
EN
  • Lecture: 2h
  • Exercises: 2h
-
  • a
Winter session
Written
5
Representation Theory II - Lie groups and algebras
MATH-429 / Section MA
Negut
EN
-
  • Lecture: 2h
  • Exercises: 2h
Summer session
Written
5
Representation theory of semisimple lie algebras (pas donné en 2024-25 - Cours donné en alternance tous les deux ans )
MATH-492 / Section MA
EN
-
  • Lecture: 2h
  • Exercises: 2h
Summer session
Written
5
Riemann surfaces
MATH-410 / Section MA
Mornev
EN
  • Lecture: 2h
  • Exercises: 2h
-
Winter session
Written
5
Set theory
MATH-318 / Section MA
Duparc
EN
-
  • Lecture: 2h
  • Exercises: 2h
Summer session
Written
5
Spectral theory (Cours donné en alternance tous les deux ans.)
MATH-561 / Section MA
Genoud
EN
-
  • Lecture: 2h
  • Exercises: 2h
  • a
Summer session
Oral
5
Statistical analysis of network data
MATH-448 / Section MA
Olhede
EN
  • Lecture: 2h
  • Exercises: 2h
-
  • a
Winter session
Written
5
Statistical computation and visualisation
MATH-517 / Section MA
Mhalla
EN
  • Lecture: 2h
  • Exercises: 2h
-
  • a
Winter session
During the semester
5
Statistical inference
MATH-562 / Section MA
Davison
EN
  • Lecture: 2h
  • Exercises: 2h
-
Winter session
Written
5
Statistical machine learning
MATH-412 / Section MA
Obozinski, Zemel
EN
  • Lecture: 2h
  • Exercises: 2h
-
  • a
Winter session
Written
5
Statistical mechanics and Gibbs measures (Pas donné en 2024-25. Cours donné en alternance une année sur deux.)
MATH-486 / Section MA
EN
-
  • Lecture: 2h
  • Exercises: 2h
  • a
Summer session
Oral
5
Statistical theory
MATH-442 / Section MA
Zemel
EN
-
  • Lecture: 2h
  • Exercises: 2h
  • a
Summer session
Written
5
Statistics for genomic data analysis (Cours donné en alternance tous les deux ans )
MATH-474 / Section MA
Goldstein
EN
-
  • Lecture: 2h
  • Exercises: 2h
  • a
Summer session
During the semester
5
Stochastic epidemic models (Pas donné en 2024-25)
MATH-560 / Section MA
EN
  • Lecture: 2h
  • Exercises: 2h
-
  • a
Winter session
Written
5
Stochastic simulation
MATH-414 / Section MA
Nobile
EN
  • Lecture: 2h
  • Exercises: 2h
-
  • a
Winter session
Written
5
Student seminar in pure mathematics
MATH-563 / Section MA
Wyss
EN
  • Lecture: 2h
  • Exercises: 2h
-
Winter session
During the semester
5
Theory of stochastic calculus
MATH-431 / Section MA
Duch
EN
-
  • Lecture: 2h
  • Exercises: 2h
  • a
Summer session
Written
5
Topics in arithmetic geometry (Pas donné en 2024-25)
MATH-494 / Section MA
EN
-
  • Lecture: 2h
  • Exercises: 2h
Summer session
Oral
5
Topics in high-dimensional probability
MATH-519 / Section MA
Aru
EN
  • Lecture: 2h
  • Exercises: 2h
-
  • a
Winter session
Oral
5
Topics in machine learning (Pas donné en 2024-25)
MATH-520 / Section MA
EN
  • Lecture: 2h
  • Exercises: 2h
-
  • a
Winter session
During the semester
5
Topics in stochastic analysis
MATH-487 / Section MA
Li
EN
  • Lecture: 3h
  • Exercises: 2h
-
  • a
Winter session
Oral
6
Topology IV.a -Algebraic K-theory (Pas donné en 2024-25)
MATH-488 / Section MA
EN
  • Lecture: 2h
  • Exercises: 2h
-
Winter session
Written
5
Topology IV.b - cohomology rings (Pas donné en 2024-25)
MATH-506 / Section MA
EN
  • Lecture: 2h
  • Exercises: 2h
-
Winter session
Written
5
Topology IV.b - homotopy theory
MATH-497 / Section MA
Scherer
EN
-
  • Lecture: 2h
  • Exercises: 2h
Summer session
Written
5

Internship

Courses
Language
Master 1
Master 2
Specialisations/Orientations
Exam
Credits / Coefficient
Engineering internship (master in Applied Mathematics) (Stage d'au minimum 17 semaines après le 2ème semestre de Master. Inscription par la bourse aux stages)
MATH-596 / Section MA
Profs divers
FR
  • Project: 680h
  • Project: 680h
Winter/Summer session
During the semester
30

Master project

Courses
Language
Master 1
Master 2
MP Spring
MP Autumn
Exam
Credits / Coefficient
Engineering internship credited with master project (master in Mathematical Sciences) (Stage d'au minimum 8 semaines à partir du 3ème semestre de Master. Inscription par la bourse aux stages)
MATH-597 / Section MA
Profs divers
FR
  • Project: 320h
  • Project: 320h
  • Project: 320h
  • Project: 320h
Winter/Summer session
During the semester
0
Master project in Mathematics
MATH-599 / Section MA
Profs divers
FR/EN
-
-
  • Project: 900h
  • Project: 900h
Winter/Summer session
Oral
30