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### Høst 2023

# MAT-3802 Discrete Mathematics with Game- and Graph Theory - 5 stp

## The course is administrated by

## Type of course

## Course overlap

## Course contents

- 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

## Admission requirements

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

Application code: 9371

## Objective 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.

## Language of instruction

## Teaching methods

The course is taught intensively during two non-consecutive weeks. A combination of lectures followed by task solving sessions and flipped classroom arrangements will be used.

A videos-and-tasks arrangement is offered.for students who are unable to meet to lectures. Support is provided during task solving sessions.

During flipped classroom arrangements, 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 contains a project work for two days. Submission of the project work is mandatory.

## Date for examination

The date for the exam can be changed. The final date will be announced at your faculty early in May and early in November.