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Kursusbeskrivelse
Kursusnavn (dansk):Foundations of Computing - Discrete Mathematics 
Kursusnavn (engelsk):Foundations of Computing - Discrete Mathematics 
Semester:Forår 2013 
Udbydes under:cand.it., softwareudvikling og -teknologi (sdt) 
Omfang i ECTS:7,50 
Kursussprog:Engelsk 
Kursushjemmeside:https://blog.itu.dk/SGDM-F2013/ 
Min. antal deltagere:12 
Forventet antal deltagere:45 
Maks. antal deltagere:90 
Formelle forudsætninger:Basic ability to program in some imperative programming language (Java, Python, C/C++/C#, etc.), using conditions, loops, arrays, methods/procedures/functions, and simple recursion. This may be obtained by following Object Oriented Programming - Introduction, or Introductory Programming or similar courses.
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Information about the course of study
This course is mandatory for students who are enrolled on This course is mandatory for students who are enrolled on on the Master of Science in IT, study programme Software Development and Technology, Development Technology track. 
Læringsmål:After the course the student should be able to:

* List, describe and apply formal definitions

* Conduct formal proofs

* Work with regular languages and finite and infinite state machines

* Account for and use models of computation and specification

* Carry out counting and the asymptotic analysis of programs

* Use combinatorial structures

* Use graphs

* Assess probabilities of events

* Compute with expectations 
Fagligt indhold:The course is a introduction to discrete mathematics with focus on applications in the information technologies and software development. In particular, the course develops the necessary terminology and conceptual tools needed for later courses such as Advanced Models and Programs, Algorithm Design, Database Tuning, Mobile and Distributed Systems and Efficient AI Programming). This includes:

* the analysis of algorithms, including basic randomised algorithms,

* models of computation, such as logic and automata

* databases, such as relations and functions

* models of networks (technological as well as social), such as graphs

The course puts a emphasis on practical experimentation. Applications are expected to vary, but can include Google's PageRank algorithm, natural language processing, Bayesian spam filters, models for social networks, or data mining.

Central terms and concepts: Logic, specifications, sets and sequences, functions, sums, induction and recursion, permutations and combinations, discrete probability, recurrence relations, relations, graphs, trees, finite state machines, grammars. 
Læringsaktiviteter:14 ugers undervisning bestående af forelæsninger og øvelser

14 weeks of teaching consisting of lectures and exercises

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The lectures and exercises will take place:
1 hour of lecture on Tuesday from 11:00 - 11:50
1 hour of lecture on Wednesday from 13:00 - 13:50
2 hours of exercises on Thursday from 10:00 - 11:50

See the schedule here:


NB!! Course restriction I!!
Please note that there is a course restriction between this course and the SDT course Modelling and Design.
If you have already taken Modeling and Design you need to register for the course Foundations of Computing - Algorithms and Data Structures. 

Obligatoriske aktivititer:Der er ingen obligatoriske aktiviteter. Vær venlig KUN at ændre denne tekst når der er obligatoriske aktiviteter./
There are no mandatory activities. Please, change this text ONLY when there are mandatory activities. 
Eksamensform og -beskrivelse:X. experimental examination form (7-scale; external exam), 7-trins-skala, Ekstern censur

External examiner, 7-point marking scale, A2: Written examination with all written and printed aids
The duration of the written examination is 4 hour(s).  

Litteratur udover forskningsartikler:Course notes.
Kenneth Rosen, Discrete Mathematics and Its Applications, 6/e, McGraw Hill, ISBN: 007288008 
 
Afholdelse (tid og sted)
Kurset afholdes på følgende tid og sted:
UgedagTidspunktForelæsning/ØvelserStedLokale
Tirsdag 10.00-11.50 Forelæsning ITU Aud 2
Onsdag 12.00-13.50 Forelæsning ITU Aud 4
Torsdag 10.00-11.50 Øvelser ITU Aud 4

Eksamen afholdes på følgende tid og sted:
EksamensdatoTidspunktEksamenstypeStedLokale
2013-06-10 09-13 Skriftlig eksamen ITU 2A12/2A14
2013-08-22 Re-EKSAMEN - 09:00-13:00 Skriftlig eksamen ITU 3A12/3A14