Mathematics I (ING106) | GSÜ - ECTS Information Guide

Content

Objective

Introduction to mathematical reasoning and real analysis.

Course Content

Logic
Sets and applications
Limits of functions and continuous functions
Derivation of a real functions
Studies of usual real functions
Limited developments and applications to function studies

Course Learning Outcomes

The student must be able at the end of this course
To write a mathematical proof to justify an elementary proposition.
To study a real function using the basic tools of mathematical analysis.

Teaching and Learning Methods

Lessons and tutorials

References

Jean-Marie Monier-Les méthodes et exercices de Mathématiques MPSI-Dunod,(2008) ISBN: 2100516760,9782100516766,9782100539734

Assessment System

Contribution to Overall Grade
Activities	Number	Contribution
Contribution of in-term studies to overall grade	1	40
Contribution of final exam to overall grade	1	60
Total	2	100

In-Term Studies
Activities	Number	Contribution
Assignments	0	0
Presentation	0	0
Midterm Examinations (including preparation)	1	40
Project	0	0
Laboratory	0	0
Other Applications	0	0
Quiz	0	0
Term Paper/ Project	0	0
Portfolio Study	0	0
Reports	0	0
Learning Diary	0	0
Thesis/ Project	0	0
Seminar	0	0
Other	0	0
Total	1	40

Relation of Proficiency

No	Program Learning Outcomes	Contribution
No	Program Learning Outcomes	1	2	3	4	5
1	Knowledge and understanding of a wide range of basic sciences (math, physics, ...) and the main concepts of engineering				X
2	Ability to combine the knowledge and skills to solve engineering problems and provide reliable solutions			X
3	Ability to select and apply methods of analysis and modeling to ask, reformulate and solve the complex problems of industrial engineering			X
4	Ability to conceptualize complex systems, processes or products under practical constraints to improve their performance, ability to use innovative methods of design	X
5	Ability to design, select and apply methods and tools needed to solve problems related to the practice of industrial engineering, ability to use computer technology			X
6	Ability to design experiments, collect and interpret data and analyze results			X
7	Ability to work independently, ability to participate in working groups and have a multidisciplinary team spirit
8	Ability to communicate effectively, ability to speak at least two foreign languages	X
9	Awareness of the need for continuous improvement of lifelong learning, ability to keep abreast of scientific and technological developments to use the tools of information management				X
10	Awareness of professional and ethical responsibility
11	Knowledge of the concepts of professional life as "project management", "risk management" and "management of change"
12	Knowledge on entrepreneurship, innovation and sustainability
13	Understanding of the effects of Industrial Engineering applications on global and social health, environment and safety.
14	Knowledge of the problems of contemporary society
15	Knowledge of the legal implications of the practice of industrial engineering

ECTS

Activities	Number	Period	Total Workload
Class Hours	13	6	78
Working Hours out of Class	13	6	78
Midterm Examinations (including preparation)	1	10	10
Final Examinations (including preparation)	1	10	10
Total Workload			176
Total Workload / 25			7.04
Credits ECTS			7