Teacher(s)
. SOMEBODY; Glineur François (coordinator); Jungers Raphaël; Remacle JeanFrançois; Verleysen Michel;
Language
French
Main themes
functions of a real variable, first order differential equations. Mathematical proof techniques. Modelling of simple problems, and problem solving.
Aims
At the end of this learning unit, the student is able to :  
1 
At the end of the course the students will be able to

Content
 Real numbers, inequalities, sequences and series
 Real functions of one variable, limits and continuity, sequences of functions
 Derivation and applications, optimization
 Taylor polynomial
 Complex numbers
 Integration and applications
 Introduction to differential equations
 Introduction to multivariable calculus: toppology, continuity, differentiability, partial derivatives and chain rule, gradient and tangent plane for scalar real functions of two variables
Teaching methods
Lectures in a large auditorium, supervised exercise (APE) and problem (APP) sessions in small groups, possibly supplemented with writing assignments and online exercises.
Evaluation methods
Evaluations are done individually in writing on the basis of the learning outcomes listed above. A test is organized during the first quadrimester, and a written exam during each session.
For the January session, the grade is awarded on the basis of the test (5 points out of 20) and the exam. During the other two sessions, the grade depends only on the exam.
For the January session, the grade is awarded on the basis of the test (5 points out of 20) and the exam. During the other two sessions, the grade depends only on the exam.
Online resources
Bibliography
 Calculus with Applications par Peter D. Lax et Maria Shea Terrell, Springer, 2014.
 Multivariable Calculus with Applications par Peter D. Lax et Maria Shea Terrell, Springer, 2017.
Teaching materials
 Calculus with Applications par Peter D. Lax et Maria Shea Terrell, Springer, 2014.
 Multivariable Calculus with Applications par Peter D. Lax et Maria Shea Terrell, Springer, 2017.
Faculty or entity