MATHEMATICAL METHODS IN BIOMEDICAL SCIENCES
[SBIM1001]
[22.5h + 22.5h] 3 credits
This course is taught in the 2d semester.
Teacher(s):
Language: French
Level: First
Aims
Main themes
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
Content and teaching methods
-Complex numbers and periodic functions, limits, indeterminate forms, L'Hôpital's rule, Taylor series, functions of several variables, Lagrange multipliers, multiple integrals, systems of differential equations;
-Analytical geometry: equations and properties of the straight line, the plane, conics and quadrics;
-Applications to pharmacokinetics, chemical and enzymatic kinetics, genetics, statistics, thermodynamics ;
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
Other information (prerequisite, evaluation (assessment methods), course materials recommended readings, ...)
ASSESSMENT : Written and oral examination.
TEACHING AIDS : Notes written by the teacher, overhead transparencies, practical works supervised by the teacher and one or two assistants