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MATH-S202

Mathématiques : séries et fonctions à plusieurs variables

academic year
2024-2025
2025-2026

Course teacher(s)

Joost VERCRUYSSE (Coordinator) and Florence Sterck

ECTS credits

5

Language(s) of instruction

french

Course content

  • Linear algebra : recalling the theory of vector spaces and euclidian spaces; linear varieties and quadratic forms.- Sequences and series : numerical series, series of functions, Fourier series, sequences in R^n, limits.- Differential calculus in several variables : coninuity, differentiability, Taylor's formula, convexity, extrema.- Integral calculus in several variables : double integrals and surface integrals.

Objectives (and/or specific learning outcomes)

The student will be capable of :

  • combining the notions of abstract mathematics with his geometric intuition;

  • solving complex problems in several dimensions and infinite dimensions.

Prerequisites and Corequisites

Required and corequired courses

Teaching methods and learning activities

Ex-cathedra theory courses and exercice sessions where the students try to solve problems under supervision of an assistant.

References, bibliography, and recommended reading

Notes are available from PUB and on UV

Course notes

  • Syllabus
  • Université virtuelle
  • Podcast

Contribution to the teaching profile

The student will be capable of :

  • Display critical thinking, logical and abstract reasoning and develop an independent approach to learning (LO 2.2)

Other information

Contacts

Joost Vercruysse: joost.vercruysse@ulb.be

Campus

Solbosch

Evaluation

Method(s) of evaluation

  • Other

Other

Written exam in January.

Mark calculation method (including weighting of intermediary marks)

A note on 20 is attributed after the written exam. Theory : 40%; exercices : 60%.

Language(s) of evaluation

  • french

Programmes