Course - Mathematics for Computer Science - BMA1010
BMA1010 - Mathematics for Computer Science
About
Examination arrangement
Examination arrangement: School exam
Grade: Letter grades
Evaluation | Weighting | Duration | Grade deviation | Examination aids |
---|---|---|---|---|
School exam | 100/100 | 4 hours | C |
Course content
- Logics: Statements, arguments, basic proof theory. Mathematical induction.
- Set theory and discrete functions.
- Number theory: Divisibility and congruence, Euclid's algorithm, Diffie-Hellman as application.
- Graph theory: Important types of graphs, graph isomorphy, trees. Graph theoretical algorithms, such as Prim's and Dijkstra's algorithms.
- Combinatorics: Counting results related to quantities, functions and graphs.
Learning outcome
The course will give students knowledge of how mathematics is used in solving problems in computer science. It will also provide a foundation for further specialisation in mathematics and computer science. The course emphasises applications.
Knowledge: The candidate should demonstrate knowledge of the following
- concepts in logic of statements.
- common forms of mathematical proofs, including mathematical induction.
- basic set theory.
- discrete functions and relations.
- concepts and algorithms related to graphs, including trees and graphisomorphism.
- concepts, methods and results in number theory, modular calculus and cryptography.
Skills: The candidate can
- apply basic concepts, results and methods from the theory of statements and arguments, for example determine whether an argument is valid or invalid and determine whether two statements are equivalent
- construct simple mathematical proofs, including inductive proofs
- apply basic concepts and results related to set theory, discrete functions and relations, and can represent these in different ways
- apply basic concepts and results related to graphs, including equivalence relations, paths in graphs and graphisomorphism
- apply algorithms to smaller examples,
- apply basic concepts and methods from number theory related to divisibility, including Euclid's algorithm
- apply congruences calculations and perform Diffie-Hellman key exchange
General competence: The candidate
- can communicate about and by means of mathematics, and use relevant mathematical notation
- can use mathematics to model and solve theoretical and practical problems in situations relevant to their own field, in academic and professional contexts.
Learning methods and activities
Lectures and exercises. Exercises will be based on assignments in a digital assessment system. Exercises and learning videos for self-study will be available as a supplement to the lectures.
Compulsory work: at least 75% of the exercises must be approved for admission to the exam. The number of obligatory assignments and weighting will be announced at the start of the semester.
Compulsory assignments
- Obligatorisk arbeidskrav
Further on evaluation
- There will be a school exam (in a digital examination system) at the end of the semester.
- A resit exam can be changed to oral exam.
Specific conditions
Admission to a programme of study is required:
Digital Infrastructure and Cyber Security (BDIGSEC)
Programming (BPROG)
Recommended previous knowledge
Mathematics from secondary education
Course materials
Recommended literature will be published at the beginning of semester.
Credit reductions
Course code | Reduction | From | To |
---|---|---|---|
DCST1004 | 7.5 | AUTUMN 2019 |
No
Version: 1
Credits:
7.5 SP
Study level: Foundation courses, level I
Term no.: 1
Teaching semester: AUTUMN 2024
Language of instruction: Norwegian
Location: Gjøvik
- Mathematics
Department with academic responsibility
Department of Mathematical Sciences
Examination
Examination arrangement: School exam
- Term Status code Evaluation Weighting Examination aids Date Time Examination system Room *
- Autumn ORD School exam 100/100 C 2024-12-04 09:00 INSPERA
-
Room Building Number of candidates S206 Smaragd 50 S410 Smaragd 50 M413-Eksamensrom 4.etg Mustad, Inngang A 0 M406-Eksamensrom 4.etg Mustad, Inngang A 0 M405-Eksamensrom 4.etg Mustad, Inngang A 0 A-atriet-2/3 (A-160) Ametyst 30 M414-Eksamensrom 4.etg Mustad, Inngang A 0 - Summer UTS School exam 100/100 C INSPERA
-
Room Building Number of candidates
- * The location (room) for a written examination is published 3 days before examination date. If more than one room is listed, you will find your room at Studentweb.
For more information regarding registration for examination and examination procedures, see "Innsida - Exams"