This course aims to provide the student with the mathematical tools necessary for the study of chemical sciences. The skills that the student will have to develop are centred on the understanding of the main notions of infinitesimal analysis (functions of several variables, vector analysis) and matrix calculus, as well as on their use.
The aim of the course is to provide the student with mathematical tools that he/she can then use independently.
The course starts with linear algebra and matrix calculus. This is followed by analysis in the case of functions of several variables (representation, partial derivatives, tangent plane, directional derivative, optimization) and vector analysis. The course ends with curvilinear integrals and multiple integrals.
The examination is written. It consists of: (1) theory questions focusing on the understanding of theoretical concepts and short computational exercises (e.g. derivation, integration,...); (2) exercises/problems similar (or even identical) to those solved in the tutorial sessions. Calculation of the score: 50% part (1) + 50% part (2). A basic calculator (non-graphic) is allowed to perform basic calculation operations. A test on part of the subject will be organised during the term in the same way as the examination. A student who obtains a mark of 10/20 or more in this test will be exempted from the examination in the subject assessed in the test. In this case, the final mark will be the arithmetic average of the test mark and the examination mark. A student who has not taken the dispensatory test or who has obtained a mark of less than 10/20 will be assessed in the examination for the whole subject. In this case, the final mark will be the mark obtained in the examination. The exemption test and the examination are two separate learning activities. If an evaluation is not possible in person, it will remain written and will be organised via WebCampus and with interaction via Teams.
• STEWART, Analysis, Concepts and Contexts, Volumes 1 and 2, De Boeck, 2006 • DUPONT, Exercices de Mathématiques pour le premier cycle, Volumes 1 and 2, De Boeck, 2003 • The chemistry maths book. E. Steiner. Oxford Science Publications, 1996. • Cours Préparatoires - Mathematics revision. A. Hardy, J.-M. Mernier, S. Thiry, J. Winkin, 2008 • Real functions of one real variable - A. Hardy, 2008 • Analysis: multivariate functions. G. Salmon • Matrices and complex numbers. Provisional notes. G. Salmon, 2002
| Training | Study programme | Block | Credits | Mandatory |
|---|---|---|---|---|
| Bachelier en sciences chimiques | Standard | 0 | 3 | |
| Bachelier en sciences chimiques | Standard | 1 | 3 |