Prolegomena in Mathematics (1 ECTS)

Presentation

Description:
The aim of the Mathematics prolegomena is to recall or present the mathematical notions of the L3 SPI science level, which will be used and redeveloped in the context of the TU competencies of the Master Science et Numérique pour la Santé. TU aims to provide students with an overview of the concepts covered and a means of self-assessing the acquisition of these skills at the start of the course.

Objectives:
Acquisition of skills at Bac+3 SPI level in Mathematics.

Hourly volumes :

CM: 10.5 h
TD: 10.5 h
TP: 0 h
Field: 0 h

Prerequisites :

L3 in science or health.

Recommended prerequisites :

R.A.S

More information

Assessment of knowledge :

Continuous Integral Control (CCI)

Syllabus :

A. Complex numbers: 7h CM

Complex numbers, graphical and geometric representation, operations on complex numbers, absolute value, polar form, Moivre formula, roots of a complex number, Euler formula, elementary functions of a complex number.

B. Linear algebra: 7h CM

Matrices, matrix product, determinant, matrix inverse, translation and rotation matrix, eigenvalues and eigenvectors, matrix systems, solving linear systems.

C. Analysis: 7h CM

Continuation, convergence, continuous functions, integration of continuous functions, solving differential equations, linear differential equations, some applications to mathematical modeling.

Contact

Manager: Emmanuel Le Clézio
Administrative contact(s): Claudie Fabry