Discrete Structures, 8 credits

Diskreta strukturer, 8 hp

TDDC75

Main field of study

Information Technology

Course level

First cycle

Course type

Programme course

Examiner

Mikael Asplund

Director of studies or equivalent

Ahmed Rezine

Education components

Preliminary scheduled hours: 72 h
Recommended self-study hours: 141 h
ECV = Elective / Compulsory / Voluntary
Course offered for Semester Period Timetable module Language Campus ECV
6CITE Information Technology, M Sc in Engineering 1 (Autumn 2017) 0, 1 -, 2 Swedish Linköping C

Main field of study

Information Technology

Course level

First cycle

Advancement level

G1X

Course offered for

  • Information Technology, M Sc in Engineering

Entry requirements

Note: Admission requirements for non-programme students usually also include admission requirements for the programme and threshold requirements for progression within the programme, or corresponding.

Intended learning outcomes

After completing the course the student should have achieved basic understanding of concepts and methods from discrete mathematics and be able to carry out simple mathematical proofs about sets, relations, functions, number systems and boolean algebra; the student should also be able to put the theory into action and apply basic concepts and methods to support structured construction methods of digital systems, and understanding and ability to construct digital systems.

Course content

Sets, functions, number systems, coding and decoding, relations, algebras, Boolean algebra. Combinatorial circuits, minimization, Karnaugh maps, NAND- and NOR-synthesis, normal forms, tri-state, verification, incompletely specified circuits, circuits with multiple outputs, special circuits (adders, comparators, demultiplexers, multiplexers), state automata, sequential circuits, clocked flip-flops, asynchronous signals, counters, shift registers, control units.

Teaching and working methods

Lectures cover the theoretical foundations, while solving of exercises is done during supervised tutorials. The ability to apply theoretical foundations to solve concrete problems is done at laboratory classes.

Examination

LAB3Laboratory work3 creditsU, G
LAB2Laboratory work1 creditsU, G
TEN2A written examination3 creditsU, 3, 4, 5
BAS1Work in PBL-group1 creditsU, G

Grades

Four-grade scale, LiU, U, 3, 4, 5

Department

Institutionen för datavetenskap

Director of Studies or equivalent

Ahmed Rezine

Examiner

Mikael Asplund

Course website and other links

http://www.ida.liu.se/education/ugrad/index.sv.shtml

Education components

Preliminary scheduled hours: 72 h
Recommended self-study hours: 141 h

Course literature

Additional literature

Books

Code Name Scope Grading scale
LAB3 Laboratory work 3 credits U, G
LAB2 Laboratory work 1 credits U, G
TEN2 A written examination 3 credits U, 3, 4, 5
BAS1 Work in PBL-group 1 credits U, G

Regulations (apply to LiU in its entirety)

The university is a government agency whose operations are regulated by legislation and ordinances, which include the Higher Education Act and the Higher Education Ordinance. In addition to legislation and ordinances, operations are subject to several policy documents. The Linköping University rule book collects currently valid decisions of a regulatory nature taken by the university board, the vice-chancellor and faculty/department boards.

LiU’s rule book for education at first-cycle and second-cycle levels is available at http://styrdokument.liu.se/Regelsamling/Innehall/Utbildning_pa_grund-_och_avancerad_niva. 

Additional literature

Books

Note: The course matrix might contain more information in Swedish.

I = Introduce, U = Teach, A = Utilize
I U A Modules Comment
1. DISCIPLINARY KNOWLEDGE AND REASONING
1.1 Knowledge of underlying mathematics and science (G1X level)
X
TEN2

                            
1.2 Fundamental engineering knowledge (G1X level)
X
LAB3

                            
1.3 Further knowledge, methods, and tools in one or several subjects in engineering or natural science (G2X level)

                            
1.4 Advanced knowledge, methods, and tools in one or several subjects in engineering or natural sciences (A1X level)

                            
1.5 Insight into current research and development work

                            
2. PERSONAL AND PROFESSIONAL SKILLS AND ATTRIBUTES
2.1 Analytical reasoning and problem solving
X
X
LAB3

                            
2.2 Experimentation, investigation, and knowledge discovery
X
LAB2
LAB3

                            
2.3 System thinking
X
LAB3

                            
2.4 Attitudes, thought, and learning

                            
2.5 Ethics, equity, and other responsibilities

                            
3. INTERPERSONAL SKILLS: TEAMWORK AND COMMUNICATION
3.1 Teamwork
X
BAS1

                            
3.2 Communications

                            
3.3 Communication in foreign languages

                            
4. CONCEIVING, DESIGNING, IMPLEMENTING AND OPERATING SYSTEMS IN THE ENTERPRISE, SOCIETAL AND ENVIRONMENTAL CONTEXT
4.1 External, societal, and environmental context

                            
4.2 Enterprise and business context
X

                            
4.3 Conceiving, system engineering and management
X

                            
4.4 Designing
X

                            
4.5 Implementing
X

                            
4.6 Operating

                            
5. PLANNING, EXECUTION AND PRESENTATION OF RESEARCH DEVELOPMENT PROJECTS WITH RESPECT TO SCIENTIFIC AND SOCIETAL NEEDS AND REQUIREMENTS
5.1 Societal conditions, including economic, social, and ecological aspects of sustainable development for knowledge development

                            
5.2 Economic conditions for knowledge development

                            
5.3 Identification of needs, structuring and planning of research or development projects

                            
5.4 Execution of research or development projects

                            
5.5 Presentation and evaluation of research or development projects

                            

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