Table des matières

Mathematics 1A

General information

This course unit is offered twice a year. Students can attend this course during

Brief description

This course is a basic course in Mathematics for any student in engineering. It is divided into three equal parts:

Learning outcomes

Prerequisites

Assessment

Course content

  1. Mathematical analysis
    • Differential calculus
    • Optimization
    • Lebesgue integral
    • Fourier transform and Fourier series
    • Hilbert spaces
  2. Numerical analysis
    • tba
  3. Probability and Statistics
    • Sigma-algebra, probability measure
    • Real random variables (discrete and continuous)
    • Expectation, variance
    • Random vector, covariance, variance matrix
    • Independence
    • Strong and weak law of large numbers
    • Central Limit Theorem
    • Introduction to statistics: statistical experiment, quadratic risk, bias, pointwise estimation, Maximum Likelihood Method, confidence interval

Bibliography