University of Liege | Version française
Academic year 2014-2015Value date : 12/05/2015
MATH0491-1  Mathematics for computing

Duration :  25h Th, 25h Pr
Number of credits :  
Bachelier en sciences informatiques5
One-year preliminary programme leading to the Master in Computer Sciences5
Lecturer :  Georges Hansoul
Language(s) of instruction :  
French language
Organisation and examination :  
Teaching in the first semester, review in January
Course contents :  
- Propositional logic (application : electric circuits) and first order logic (application : expert systems, formalisation of natural languages);
- Arithmetic (application : various position numeration systems);
- Naive set theory (including finite and infinite cardinal arithmetic);
- Introduction to finite structures such as groups or rings (application to cryptography);
- Classical combinatory, linear recurring equations, inclusion-exclusion principle.
Learning outcomes of the course :  
Its objective is twofold :
- to give a first background for various mathematical topics closely linked with theoretical computer science,
- to improve correctness of inductive reasonning, and in particular to insure a good translation from natural to formal languages.
Prerequisites and co-requisites/ Recommended optional programme components :  
None.
Planned learning activities and teaching methods :  
The exercice lessons have a double objective : first illustrate the concepts and results of the theoretical part, and second provide applications of the theory.
Mode of delivery (face-to-face ; distance-learning) :  
First semester, discrete mathematics and graph theory at the Institute of Mathematics, B37.
Recommended or required readings :  
One syllabus is available.
Assessment methods and criteria :  
November : general test, with special classes in case of failure.
January : written examination, theory and exercices.
June : oral examination : theory and written examination : exercices.
September : oral examination : theory and exercices.
Work placement(s) :  
None.
Organizational remarks :  
None.
Contacts :  
HANSOUL Georges
Institute of Mathematics - B37
Office 059
Grande Traverse, 12 - 4000 Liege
(Sart Tilman)
Phone : 04/366.94.69
Fax : 04/366.95.47
E-mail : G.Hansoul@ulg.ac.be
CAVUS Rukiye
Phone : 04/366.94.04
E-mail : R.Cavus@ulg.ac.be
ZIHINDULA Elie
Phone : 04/366.94.70
E-mail : Elie.ZihindulaMushengezi@ulg.ac.be
RASKIN Julien
Phone : 04/366.94.32
E-mail : J.Raskin@ulg.ac.be



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