Centrale Lille Course Catalogue

Refresher in Maths

Course label : Refresher in Maths
Teaching departement : EEA / Electrotechnics - Electronics - Control Systems
Teaching manager : Mister PIERRE-ANTOINE THOUVENIN / Mister PIERRE CHAINAIS
Education language :
Potential ects : 0
Results grid :
Code and label (hp) : MR_DS_S1_RMA - Refresher in Maths

Education team

Teachers : Mister PIERRE-ANTOINE THOUVENIN / Mister PIERRE CHAINAIS
External contributors (business, research, secondary education): various temporary teachers

Summary

• Linear algebra (14h) ◦ Matrices and linear systems of equations. Null space, column space and rank theorem. ◦ Trace, determinant, eigenvectors and eigenvalues. • Multivariable calculus (10h) ◦ Multivariable vector and scalar functions. Continuity, partial derivatives and differentiability. ◦ Matrix representation of the differential. Properties of differentiable functions.

Educational goals

After successfully taking this course, a student should be able to: • Use/understand standard notions for forthcoming courses of the Master program • Have basic notions of linear algebra and multivariate differential calculus

Sustainable development goals

Knowledge control procedures

Continuous Assessment
Comments: Assessment is based on a homework assignment (HW) and a final examination (EX) during the final session, each giving a mark out of 20. The final mark will be calculated as follows: 0.5*HW+0.5*EX. Grading scale: (min)0 – 20 (max) - Pass = 10/20 Second chance: For those who would not achieve a pass grade, there will be a second chance associated with a second homework (HW2). The second chance grade is calculated as follows: 0.2*EX+0.4*HW+0.4*HW2.

Online resources

1. S. Lang, Undergraduate Analysis, Springer, 1997 2. G. Strang, Introduction to linear algebra, Wellesley-Cambridge 2016. 3. G. Strang, Linear algebra and learning from data, Wellesley Cambridge Press, 2019

Pedagogy

Language of instruction is specified in the course offering information in the course and programme directory. English is the default language.

Sequencing / learning methods

Number of hours - Lectures : 12
Number of hours - Tutorial : 12
Number of hours - Practical work : 0
Number of hours - Seminar : 0
Number of hours - Half-group seminar : 0
Number of student hours in TEA (Autonomous learning) : 0
Number of student hours in TNE (Non-supervised activities) : 0
Number of hours in CB (Fixed exams) : 0
Number of student hours in PER (Personal work) : 0
Number of hours - Projects : 0

Prerequisites

Basics of linear algebra (matrices, vectors…)

Maximum number of registrants

Remarks