Discrete Mathematics, 4 credits

Diskret matematik, 4 hp

TADI03

The course is disused.

Main field of study

Mathematics Applied Mathematics

Course level

First cycle

Course type

Programme course

Examiner

Armen Asratian

Director of studies or equivalent

Jesper Thore'n

Education components

Preliminary scheduled hours: 42 h
Recommended self-study hours: 65 h
ECV = Elective / Compulsory / Voluntary
Course offered for Semester Period Timetable module Language Campus ECV
6KKEM Chemistry 4 (Spring 2017) 2 2 Swedish Linköping E
6IDAT Computer Engineering, B Sc in Engineering 2 (Spring 2017) 2 2 Swedish Linköping C

Main field of study

Mathematics, Applied Mathematics

Course level

First cycle

Advancement level

G1X

Course offered for

  • Computer Engineering, B Sc in Engineering
  • Chemistry

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

To give tha basic knowledge of discrete mathematics that is needed for further courses in mathematics, natural and computer science. After completing the course the student should be able to

  • understand and use the terminology and laws of set theory
  • formulate and solve combinatorial problems on combinations and permutations
  • use the principle of mathematical induction to prove theorems and formulas
  • use the Euclidean algorithm to solve Diophantine equations
  • master the foundations of graph theory and use graphs as a tool to model real-life problems

Course content

Set theory, the laws of set theory and Venn diagrams.
Mathematical induction and recursion.
Combinatorics with permutations and combinations.
Number theory and logic.
Graphs: Euler tours, trees and some applications in sports and communication networks.

Teaching and working methods

Teaching is done through lectures and problem sessions

Examination

TEN1Written examination4 creditsU, 3, 4, 5

Grades

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

Department

Matematiska institutionen

Director of Studies or equivalent

Jesper Thore'n

Examiner

Armen Asratian

Education components

Preliminary scheduled hours: 42 h
Recommended self-study hours: 65 h

Course literature

Asratian, A., Björn A. och Turesson, B. O.: Kompendium i Diskret matematik.
Code Name Scope Grading scale
TEN1 Written examination 4 credits U, 3, 4, 5

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. 

Asratian, A., Björn A. och Turesson, B. O.: Kompendium i Diskret matematik.

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
X

                            
1.2 Fundamental engineering knowledge (G1X level)

                            
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

                            
2.2 Experimentation, investigation, and knowledge discovery
X

                            
2.3 System thinking

                            
2.4 Attitudes, thought, and learning
X
X

                            
2.5 Ethics, equity, and other responsibilities

                            
3. INTERPERSONAL SKILLS: TEAMWORK AND COMMUNICATION
3.1 Teamwork

                            
3.2 Communications
X

                            
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

                            
4.3 Conceiving, system engineering and management

                            
4.4 Designing

                            
4.5 Implementing

                            
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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