Note from June 29, 2020
Although we do not yet know how long the social distancing related to the Covid-19 pandemic will last, and regardless of the changes that had to be made in the evaluation of the June 2020 session in relation to what is provided for in this learning unit description, new learnig unit evaluation methods may still be adopted by the teachers; details of these methods have been - or will be - communicated to the students by the teachers, as soon as possible.
Although we do not yet know how long the social distancing related to the Covid-19 pandemic will last, and regardless of the changes that had to be made in the evaluation of the June 2020 session in relation to what is provided for in this learning unit description, new learnig unit evaluation methods may still be adopted by the teachers; details of these methods have been - or will be - communicated to the students by the teachers, as soon as possible.
5 credits
45.0 h + 20.0 h
Q2
Teacher(s)
Bieliavsky Pierre; Robert Annie;
Language
French
Main themes
The course is intended for students with an elementary background in calculus as given in the basic course of physics in BAC1.
It contains:
-an introduction to linear algebra with emphasis on the computation of solutions to systems of linear equations, matrix algebra, eigenvalues, eigenvectors and diagonalization of matrices;
-an introduction to the study of functions of several variables (partial derivatives, differentials, gradients, maxima and minima, Lagrange multipliers, multiple integrals) and systems of differential equations with a view on applications;
-an introduction to analytical geometry, in particular to the equations and properties of straight lines, conics and quadrics;
-a good deal of illustrations and applications to pharmacokinetics, chemical and enzymatic kinetics, genetics, statistics, themodynamics
Aims
At the end of this learning unit, the student is able to : | |
| 1 | The objective of this course is to introduce the students to the fundamental notions of linear algebra, calculus and analytical geometry in order to provide them with the basic mathematical tools essential for the biomedical sciences |
The contribution of this Teaching Unit to the development and command of the skills and learning outcomes of the programme(s) can be accessed at the end of this sheet, in the section entitled “Programmes/courses offering this Teaching Unit”.
Content
-Linear algebra : systems of linear algebraic equations, solution procedures by Gauss-Jordan elimination, matrix algebra, rank theory, inversion, eigenvalues, eigenvectors and diagonalization of matrices; -Complex numbers and periodic functions. Introduction to the theory of systems of ordinary differential equations -Applications to pharmacokinetics, chemical and enzymatic kinetics, genetics, statistics, thermodynamics ; Introduction to MATLAB
METHODS: Lectures and supervised practical works (in small groups) are organized weekly. The pracrical works, in close connexion with the lecture of the week, are not restricted to mere applications of recipes but require an active involvement of the students, who are encouraged to establish the link between theory and practice
METHODS: Lectures and supervised practical works (in small groups) are organized weekly. The pracrical works, in close connexion with the lecture of the week, are not restricted to mere applications of recipes but require an active involvement of the students, who are encouraged to establish the link between theory and practice
Evaluation methods
The final grade (20 points) is divided into
-a test MATLAB (2 points)
-a written exam (18 points): theoretical part (9 points), exercises (5 points), pharmacocinetics and statistic (4 points)
The presence at the exercises session is COMPULSORY.
-a test MATLAB (2 points)
-a written exam (18 points): theoretical part (9 points), exercises (5 points), pharmacocinetics and statistic (4 points)
The presence at the exercises session is COMPULSORY.
Other information
PREREQUISITE : Background in mathematics as given in the course of physics (BAC 1).
Teaching materials
- page Moodle du cours
- page Moodle du cours
- page Moodle du cours
- page Moodle du cours
- page Moodle du cours
- page Moodle du cours
Faculty or entity
SBIM
