At the end of this learning unit, the student is able to :

At the end of the course the students will be able to

• Manipulate functions of a single real variable ;
• Use first order differential equations, linear recurrence equations and simple discrete structures in order to model and solve problems ;
• Apprehend and visualize a scalar function of two real variables;
• Calculate partial derivatives and use them to form a first-order approximation.
• Understand the main mathematical proof techniques ;
• Make a critical reading and analysis of a problem statement;
• Find examples and counter-examples related to a mathematical statement;
• Write short mathematical proofs with rigor.
• Modelling of simple problems, and problem solving using the methods cited above.

Regarding the learning outcomes of the program of Bachelor in Engineering, this course contributes to the development and the acquisition of the following learning outcomes: LO1.1, 1.2, maybe 2.3, 2.6, 2.7, 3.2, 4.1.