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Høst 2019
SMN6192 Game and Graph Theory / Discrete Mathematics  5 stp
The course is administrated by
Type of course
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
Application deadline
Admission requirements
Recommended passed mathematics courses in the bachelor engineering education or corresponding mathematics courses.
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 nonconsecutive weeks, in which a combination of lectures followed by task solving sessions and project work.
All lectures are streamed and recorded. Videos provided in addition to this are made available to all students attending the course.
Assessment
Course work requirements: One individual project work in Graph Theory must be submitted and approved in a 3steps process.
Examination and assessment: A final exam, which is a 3 hours written exam. Scale of grades: AF in which F means fail. A resit exam will be arranged for this course.
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.
Course overlap
Lectures Autumn 2019 

Undervisning 
prof. Ragnhild Johanne Rensaa 