## autumn 2022 MAT-3802 Discrete Mathematics with Game- and Graph Theory - 5 ECTS

Applicants from countries within EU/EEA: June 1st for the autumn semester.

Exchange students and Fulbright students: 15 April for the autumn semester.

## Type of course

Theoretical. The course can be taken as a single course.

An undergraduate Bachelor Engineering program with minimum 25 credits mathematics, 5 credits statistics, 7,5 credits physics

Application code: 9371

## Course overlap

Du vil få en reduksjon i antall studiepoeng (som oppgitt under), dersom du avlegger eksamen i dette emnet og har bestått følgende emne(r) fra før av:

SMN6192 Discrete Mathematics 5 stp
SMN6192 Game- and Graph Theory / Discrete Mathematics 5 stp

## Course content

• Combinatorics including combinations
• Properties of integers and number theory
• Types of proofs
• Relations and functions, equivalence relations
• Finite state machines and minimization of these
• Recurrence relations with unarranged problems
• Graph theory
• Examples of applications in gaming

## Recommended prerequisites

IGR1518 Mathematics 1 (3-semester), IGR1600 Mathematics 1, IGR1601 Mathematics 2, IGR1613 Mathematics 3 / Physics 2, TEK-1507 Mathematics 1, TEK-1510 Mathematics 1 (3-semester), TEK-1516 Mathematics 2, TEK-2800 Mathematics 3, TEK-2801 Physics 2

## Objectives of the course

Knowledge (K):

After completing the linear algebra course the candidate:

• Has advanced knowledge of concepts within discrete mathematics.
• Has thorough knowledge of central arguments, combinatorial counting methods and methodologies within the listed concepts in discrete mathematics and know how to apply these in mathematical problems.
• Can analyse formulated discrete problems and identify methods to solve these.

Skills (S):

After completing the linear algebra course the candidate:

• Can recognize and identify discrete problems, make use of a variety of counting methods, elementary number theory, finite state machines, recurrence relations and graphs and trees in order to solve problems.
• Can analyse and deal critically with theories and arguments within the field and use these to structure and formulate scholarly arguments.
• Can identify arguments that can be utilized to solve practical problems like unarranged recurrence relations and game related tasks.

General competence (GC):

After completing the linear algebra course the candidate:

• Can analyse relevant discrete mathematics problems.
• Can apply the knowledge and skills within discrete mathematics to complete assignments.
• Can communicate about different aspects in discrete mathematics, particularly explaining in mathematical terms how to deal with counting problems.
• Can use the knowledge for concepts, theories and methods in discrete mathematics in relevant engineering areas.

English

## Teaching methods

The course is taught intensively during two non-consecutive weeks. The scheme of the first teaching week is a flipped classroom arrangement where students watch videos made by the teacher and work with tasks related to the videos, preferably working with peers in groups. Support is provided by the teacher during these sessions, both to discuss content in videos and as support in task solving processes. The second teaching week is divided between teaching in a flipped classroom arrangement and project work. Submission of the project work is obligatory.

## Information to incoming exchange students

This course is open for inbound exchange student who meets the admission requirements. Please see the Admission requirements" section".

Master Level

Do you have questions about this module? Please check the following website to contact the course coordinator for exchange students at the faculty: https://en.uit.no/education/art?p_document_id=510412.

Pensumliste for MAT-3802 Game- and Graph Theory/Discrete Mathematics

## Examination

School exam 12.12.2022 09:00 3 Hours A–E, fail F

## Work requirement

To take an examination, the student must have passed the following coursework requirements:
Graph Theory Approved/ Not approved
UiT Exams homepage