Mathematics for Engineering S1

General Data
Academic program	ECAM ENGINEERING PROGRAM		Module Manager(s): AUDREN Loïc
Module type	Teaching Unit
Credits (ECTS)	9
Maximum number of students	250
Total duration :114h00	Period : Semester 1	Language : : English

Learning outcomes
This first semestre is mostly dedicated to the study of real-valued functions with one variable. Students will explore the concepts of limits, continuity, differentiability and integrability. The Taylor series conclude this semestre. Although Calculus is the main point, this course covers classical results from complex numbers and polynomials. It also provides the resolution of linear systems using matrices, and of ordinary differential equations (first and second orders).<br>Special attention will be given at constructing clear mathematical arguments and applying processes to Physics. 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 1.<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 this computer science course, we will learn how to think about algorithms and create them using sorting techniques such as quick sort and merge sort, and searching algorithms.<br>The course progresses with Numerical, String, and Geometric algorithms.

Learning outcomes

This first semestre is mostly dedicated to the study of real-valued functions with one variable. Students will explore the concepts of limits, continuity, differentiability and integrability. The Taylor series conclude this semestre. Although Calculus is the main point, this course covers classical results from complex numbers and polynomials. It also provides the resolution of linear systems using matrices, and of ordinary differential equations (first and second orders). Special attention will be given at constructing clear mathematical arguments and applying processes to Physics. Lessons and assessments will priorize mental calculations instead of the use of the calculator. This TUC belongs to the TU Mathematics for Engineering 1. 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 this computer science course, we will learn how to think about algorithms and create them using sorting techniques such as quick sort and merge sort, and searching algorithms. The course progresses with Numerical, String, and Geometric algorithms.