Discrete Mathematics, 6 credits (TATA82)

Diskret matematik, 6 hp

Main field of study

Mathematics Applied Mathematics

Level

First cycle

Course type

Programme course

Examiner

Milagros Izquierdo Barrios

Director of studies or equivalent

Jesper Thorén

Available for exchange students

Yes
Course offered for Semester Period Timetable module Language Campus VOF
6CIII Industrial Engineering and Management, M Sc in Engineering (Computer Science and Engineering Specialization) 4 (Spring 2017) 2 1 Swedish/English Linköping o
6CIII Industrial Engineering and Management, M Sc in Engineering 4 (Spring 2017) 2 1 Swedish/English Linköping v
6CIEI Industrial Engineering and Management - International, M Sc in Engineering - Spanish (Specialization Computer Science and Engineering) 4 (Spring 2017) 2 1 Swedish/English Linköping o
6CIEI Industrial Engineering and Management - International, M Sc in Engineering - Spanish 4 (Spring 2017) 2 1 Swedish/English Linköping v
6CIEI Industrial Engineering and Management - International, M Sc in Engineering - French (Specialization Computer Science and Engineering) 4 (Spring 2017) 2 1 Swedish/English Linköping o
6CIEI Industrial Engineering and Management - International, M Sc in Engineering - French 4 (Spring 2017) 2 1 Swedish/English Linköping v
6CIEI Industrial Engineering and Management - International, M Sc in Engineering - Japanese (Specialization Computer Science and Engineering) 4 (Spring 2017) 2 1 Swedish/English Linköping o
6CIEI Industrial Engineering and Management - International, M Sc in Engineering - Japanese 4 (Spring 2017) 2 1 Swedish/English Linköping v
6CIEI Industrial Engineering and Management - International, M Sc in Engineering - German (Specialization Computer Science and Engineering) 4 (Spring 2017) 2 1 Swedish/English Linköping o
6CIEI Industrial Engineering and Management - International, M Sc in Engineering - German 4 (Spring 2017) 2 1 Swedish/English Linköping v
6CIEI Industrial Engineering and Management - International, M Sc in Engineering - Chinese (Specialization Computer Science and Engineering) 4 (Spring 2017) 2 1 Swedish/English Linköping o
6CIEI Industrial Engineering and Management - International, M Sc in Engineering - Chinese 4 (Spring 2017) 2 1 Swedish/English Linköping v

Main field of study

Mathematics, Applied Mathematics

Course level

First cycle

Advancement level

G1X

Course offered for

  • Industrial Engineering and Management, M Sc in Engineering
  • Industrial Engineering and Management - International, 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.

Prerequisites

Single variable calculus and linear algebra

Intended learning outcomes

The course shall provide the basic knowledge within the part of mathematics which has applications in software development, theoretical computer sciences, database theory and digital technology. Students shall be able to:

  • Apply set theory to calculations and to theoretical computer sciences.
  • Use equivalence and partial order relations to classifying and computer sciences.
  • Use mathematical induction in proofs
  • Solve simple recursive equations.
  • Apply combinatorial methods in calculations.
  • Understand number theory and use it within public key cryptosystems
  • Know concepts in graph theory and their applications to, e.g., optimization

Course content

Sets; relations: equivalence and partial order relations; induction, recurrence, combinatorics, principle for inclusion and exclusion; number theory, modular arithmetic and public key cryptography; graphs.

Teaching and working methods

Lectures and tutorials.

Examination

TEN1Written examinationU, 3, 4, 56 credits

Grades

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

Other information

Supplementary courses:
Graph theory, Number theory, Abstract algebra

Department

Matematiska institutionen

Director of Studies or equivalent

Jesper Thorén

Examiner

Milagros Izquierdo Barrios

Education components

Preliminary scheduled hours: 52 h
Recommended self-study hours: 108 h

Course literature

Asratian, A., Björn, A. och Turesson, B.O.: Diskret matematik, 2014. Alternativt Kenneth H. Rosen: Discrete Mathematics and Its Applications, McGraw-Hill Higher Education, 2011 eller Grimaldi, R.P.: Discrete and Combinatorial Mathematics, Pearson Education 2013.
Asratian, A., Björn, A. och Turesson, B.O.: Diskret matematik, 2014. Alternativt Kenneth H. Rosen: Discrete Mathematics and Its Applications, McGraw-Hill Higher Education, 2011 eller Grimaldi, R.P.: Discrete and Combinatorial Mathematics, Pearson Education 2013.
TEN1 Written examination U, 3, 4, 5 6 credits

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. 

This tab contains public material from the course room in Lisam. The information published here is not legally binding, such material can be found under the other tabs on this page. There are no files available for this course.

Page responsible: Study information, bilda@uf.liu.se