EPN-V2

ACIT4330 Mathematical Analysis Emneplan

Engelsk emnenavn
Mathematical Analysis
Studieprogram
Master's Programme in Applied Computer and Information Technology
Omfang
10.0 stp.
Studieår
2024/2025
Pensum
VÅR 2025
Timeplan
Programplan
Emnehistorikk

Innledning

The following required coursework must be approved before the student can take the exam:

  • Five assignments composed of the following: search for information, find vulnerabilities in virtual servers, scan/attack virtual machines, find attack patterns, competitive exercises (capture the flag, red-blue-teaming). Assignments may need presence or collaboration with other students on campus.
  • Participation in a round of hacking or defense-attack competition and a written report based on the activity

Anbefalte forkunnskaper

A course in analysis at bachelor level is an advantage, preferably with some knowledge of real numbers, cardinality, metric spaces and uniform convergence.

Forkunnskapskrav

An individual written portfolio consisting of five assignments based on activities undertaken in the course. Each of the assignments has a word limit of 1000 words (+/- 10%), or 7 minutes (+/- 1 minute) for video or audio submissions.

The portfolio is assessed as a whole and given one single grade, but all assignments must be passed in order for the portfolio to receive a grade E or higher.

All assignments in the portfolio must be written in either English or a Scandinavian language.

The exam can be appealed.

Læringsutbytte

A-F

Innhold

  • General topology, including locally compact Hausdorff spaces
  • Measure theory, including Riesz¿ representation theorem
  • Completeness of Lp spaces, product measures, and complex measures with the Radon- Nikodym theorem
  • Fourier analysis, including the inversion theorem
  • Complex function theory, including the Cauchy- and Liouville theorems, and harmonic functions

Lecturer might exclude or include topics depending on the students attending the course.

Arbeids- og undervisningsformer

Two internal examiners. External examiners are used regularly.

Arbeidskrav og obligatoriske aktiviteter

Lothar Fritsch

Vurdering og eksamen

ACIT4280 Privacy by Design

ACIT4050 Applied Computer and Networks Security

Hjelpemidler ved eksamen

No aids are permitted

Vurderingsuttrykk

Grade scale A-F.

Sensorordning

Two internal examiners. External examiner is used periodically.

Emneansvarlig

Professor Lars Tuset