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.

Required and corequired courses

• 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.

References, bibliography, and recommended reading

Lecture notes are available both for theory and exercises.

Course notes

• Syllabus
• Université virtuelle

Contacts

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

Campus

Solbosch

Method(s) of evaluation

• written examination

written examination

Written exam.

The course coordinator reserves the right to invite any student to an additional oral examination in order to verify their personal mastery of the content of the submitted examination, particularly when inconsistencies identified in the examination prevent the course coordinator from properly assessing the student's level of mastery of the knowledge and skills targeted by the course.

Mark calculation method (including weighting of intermediary marks)

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

Language(s) of evaluation

• english