##### 5019 - Discrete Mathematics

Course information

- Title
- Discrete Mathematics
- Course number
- 5019.23
- Academic year
- 2024-2025
- ECTS
- 7.50
- Level
- Bachelor
- Faculties
- Science and Tecnology
- Educations
- BSc in Software Engineering
- Prerequisites
- Upper secondary school with mathematics at the level B
- Language of instruction
- The course is taught in Faroese. The textbook is in English and other instructional materials are in English and Faroese. The exams and projects are formulated in English.
- Registration
- Students on the first semester of B.Sc. in Software Engineering are automatically enrolled. Applicants for an individual course must apply via the Student Service Center at lss@setur.fo
- Beginning date
- Tuesday, October 29, 2024
- End date
- Friday, December 20, 2024

Academic content

- Purpose
- To give the students an introduction to discrete mathematics with respect to applications in computer science with the purpose to give a good theoretical foundation for further work both with computer sciences and mathematical sciences.
- Learning outcomes
- By the end of the course the student is expected to be able to: • Determine the correctness of mathematical reasoning using logical inference rules. • Formulate simple mathematical arguments, in particular by use of mathematical induction and proof by contradiction. • Carry out calculations and use algorithms within the subject matter of the course, especially ◦ Perform formal logical operations on mathematical assertions ◦ Recognize different types of relations and make use of them ◦ Analyze combinatorial problems using counting arguments as well as algebraic manipulations ◦ Recognize different simple types of graphs and apply certain algorithms associated with graphs ◦ Set up recursive definitions and solve recurrences. Factorize polynomials and compute with complex numbers • Specify the growth rate of a function and to make use of O-notation. And to be able to use l'Hospitals rule in connection with this • Relate the mathematical content of the course to problems in computer science. • Use the software Maple to illustrate and to solve certain problems in both mathematics and in computer science - especially as part of the projects • Use the software LaTeX for writing project
- Content
- Basic mathematical methods, logic, counting problems, relations, functions, order, l'Hospital´s rule, trees, graphs, usage of the software Maple, and usage of the software LaTeX for writing projects.
- Learning and teaching approaches
- Lectures, exercise sessions and independent/individual work.

Assessment

- Assessment method
- One compulsory activety. The grade is based on written projects and multiple choice test during the course. Reexamination is 3 hours written exam with usual helping aids.
- Examination (internal/external)
- External
- Grading scale
- 7-scale
- Exam date/dates
- The written exam will be in week 51
- Deadline for withdrawal from exam
- Tuesday, October 29, 2024

Academic responsibility and teachers

- Academic responsibility
- Mortan Janusarson Thomsen
- Teachers
- Mortan Janusarson Thomsen