Mathematics for Engineering S2

General Data
Academic program	ECAM ENGINEERING PROGRAM		Module Manager(s): AUDREN Loïc
Module type	Teaching Unit
Credits (ECTS)	7
Maximum number of students	160
Total duration :66h00	Period : Semester 2	Language : : English

Learning outcomes
This second semestre is dedicated to a deeper study of one-variable functions (asymptotic behaviour) and an enter into the field of multi-variable functions. Strong and useful links are constantly highlighted with Physics (parametric equations and Vectors/Geometry with Mechanics, Line and surface integrals with Electromagnetism). A larger study of approximations is complete, initially introduced by the Taylor series. Students will approximate integrals and functions, and discover problems of convergence and how to compute through different numerical methods. <br>Lessons and assessments will priorize mental calculations instead of the use of the calculator.<br><br>This TUC belongs to the TU Mathematics for Engineering 2.<br><br>Amongst the skills/knowledges we would like students to acquire, there are :<br>• To analyze a system or a problem<br>• To exploit the model/design of a real/virtual system<br>• To build an argumented and logical reasoning in a scientific way<br>• To analyse a system by decomposing it into simpler sub-systems<br>• To find an exact value or an approximation to a problem, by calculation or by graphical resolution or by a step-by-step process.<br>• To react positively facing a new problem by finding at least an approach, then considering later other ways to solve it.<br>• To understand the parallels between different fields in Mathematics (Algebra, Geometry, Calculus…) and the ways to pass from one to another.<br><br>In Computer Programming course we consider the common data structures that are used in various computational problems. We will learn how these data structures are implemented in C++ and will practice implementing them in our programming assignments.

Learning outcomes

This second semestre is dedicated to a deeper study of one-variable functions (asymptotic behaviour) and an enter into the field of multi-variable functions. Strong and useful links are constantly highlighted with Physics (parametric equations and Vectors/Geometry with Mechanics, Line and surface integrals with Electromagnetism). A larger study of approximations is complete, initially introduced by the Taylor series. Students will approximate integrals and functions, and discover problems of convergence and how to compute through different numerical methods. Lessons and assessments will priorize mental calculations instead of the use of the calculator. This TUC belongs to the TU Mathematics for Engineering 2. Amongst the skills/knowledges we would like students to acquire, there are : • To analyze a system or a problem • To exploit the model/design of a real/virtual system • To build an argumented and logical reasoning in a scientific way • To analyse a system by decomposing it into simpler sub-systems • To find an exact value or an approximation to a problem, by calculation or by graphical resolution or by a step-by-step process. • To react positively facing a new problem by finding at least an approach, then considering later other ways to solve it. • To understand the parallels between different fields in Mathematics (Algebra, Geometry, Calculus…) and the ways to pass from one to another. In Computer Programming course we consider the common data structures that are used in various computational problems. We will learn how these data structures are implemented in C++ and will practice implementing them in our programming assignments.