Course teacher(s)
Joost VERCRUYSSE (Coordinator)ECTS credits
5
Language(s) of instruction
english
Course content
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
Objectives (and/or specific learning outcomes)
- combining abstract mathematical notions with geometric intuition;
- solve complex problems in 2 and 3 dimensions.
Teaching methods and learning activities
-
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
Contribution to the teaching profile
The student will be able to:
-
demonstrate critical thinking, logical and abstract reasoning, and develop an autonomous approach to learning (LO 2.2)
Other information
Contacts
Joost Vercruysse; email: joost.vercruysse@ulb.be
Campus
Solbosch
Evaluation
Method(s) of evaluation
- written examination
written examination
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