Mathematics 2

Part I: Series: 1. Series of real numbers, 2. Series of functions, 3. Fourier series

Part II: Differential calculus in several variables: 4. Sequences in the plane and the three dimensional space, 5. Continuous functions, 6. Differentiability, 7. Higher order derivations and formula of Taylor, 8. Extrema and convexity.

Part III: Integral calculus in several variables: 9. Double and triple integrals, 10. Integral theorems and surface integrals

The student will be capable of:
- combining abstract mathematical notions with geometric intuition;
- solve complex problems in 2 and 3 dimensions.

• Theory: Lectures (ex cathedra).
  The theory syllabus is available on UV as well as at PUB.

• Exercises: Students are divided into tutorial groups
  The exercise syllabus is available on UV.
  The solutions will also be made available on UV.

Références, bibliographie et lectures recommandées

Lecture notes are available both for theory and exercises.

Support(s) de cours

• Syllabus
• Université virtuelle

Contacts

Joost Vercruysse; email: joost.vercruysse@ulb.be

Campus

Solbosch

Méthode(s) d'évaluation

• Examen écrit

Examen écrit

Construction de la note (en ce compris, la pondération des notes partielles)

A single mark on 20 is attributed after the written exam. Theory: 50%, Exercises: 50%

Langue(s) d'évaluation

• anglais