Learning outcomes

The objective of this course are
  • the acquisition by students of technical knowledge in mathematics, and more particularly in mathematical analysis, knowledge necessary for their general scientific training and in computer science
  • to provide a tool for precision of language, to develop the capacity for rigorous reasoning and creativity, and to help in the formation of the scientific mind.

This course is a continuation of INFOB142 Mathematical analysis - Part 1.

 

Goals

This part of the course will focus on the usual properties of functions of one or more real variables with real values (limit, continuity, derivative, primitive), on finding local extrema as well as on integral calculus (including improper integrals).
 

Content

  • Limits and continuity of functions of one real variable with real values.
  • Derivatives of functions of a single variable (properties, Rolle's and mean value theorems) and finding extrema (Taylor expansion, 1st and 2nd order conditions).
  • R2 space, limits and continuity of functions of two real variables with real values.
  • Generalization of the notion of derivative to functions of two variables (partial derivatives, gradient, Hessian matrix, series expansion and 1st and 2nd order optimality conditions for a function of two real variables).
  • Integral calculus (Riemann integral and improper integrals), series of real numbers.
 

Assessment method

Details concerning the evaluation method are specified on the French language version of the descriptive sheet.
 

Sources, references and any support material

Syllabus available on Webcampus
 

Language of instruction

Français
Training Study programme Block Credits Mandatory
Bachelier en sciences informatiques Standard 0 3
Bachelier en sciences informatiques Standard 1 3