Exercise classes

First-year bachelor: Starter Algebra

  • Class 1 (complex numbers and logic): pdf
  • Class 2 (logic): pdf
  • Class 3 (sets and reasoning): pdf
  • Class 4 (maps): pdf
  • Class 5 (maps): pdf
  • Class 6 (groups): pdf
  • Class 7 (equivalence relations): pdf
  • Class 8 (Euclidean division and irreducible polynomials): pdf
  • Class 9 (systems and matrices): pdf

First-year engineering school: Mathematics

  • Class 1 (continuity): pdf
  • Class 2 (differentiability and differential equations): pdf
  • Class 3 (extrema of functions): pdf
  • Class 4 (complex numbers): pdf
  • Class 5 (differential equations): pdf
  • Class 6 (explicit Euler method): pdf

First-year ISIFC engineering school: Numerical methods

  • Class 1 (iterative methods for solving linear systems): pdf
  • Class 3 (evolution schemes): pdf

First-year MSc in mathematics (modelling and statistics): Approximation and signals

  • Lab 0 (introduction to Scilab): pdf (adapted from Romain Brette and Paul Armand)
  • Lab 1 (Fourier series): pdf
  • Lab 2 (filtering): pdf and pharyn.wav
  • Lab 3 (wavelets): pdf

First-year MSc in mathematics (modelling and statistics): Optimisation

  • Lab 1 (minimising a linear map under constraints): pdf
  • Lab 2 (minimising quadratic maps under constraints): pdf
  • Lab 3 (gradient descent): pdf
  • Lab 4 (local Newton method): pdf

First-year bachelor in computer science / physics / chemistry: Elements of general algebra

  • Class 1 (arithmetic in Z): pdf
  • Class 2 (order and equivalence relations): pdf
  • Class 3 (groups): pdf
  • Class 4 (rings): pdf