Programplaner og emneplaner - Student
ACIT4330 Mathematical Analysis Course description
- Course name in Norwegian
- Mathematical Analysis
- Study programme
-
Master's Programme in Applied Computer and Information Technology
- Weight
- 10.0 ECTS
- Year of study
- 2024/2025
- Programme description
- Course history
-
Introduction
The course focuses on the broad and rigorous approach necessary to do reliable research within the area of analysis and offers a deeper theoretical understanding that can supplement and be leveraged alongside the knowledge and skills from the previous two specialization courses (ACIT4310 Applied Computational and Mathematical Analysis and ACIT4321 Quantum Information Technology).
The course provides a perfect basis for any person who wants to venture into this area. It is also a springboard for functional analysis and operator algebras.
Recommended preliminary courses
A course in analysis at bachelor level is an advantage, preferably with some knowledge of real numbers, cardinality, metric spaces and uniform convergence.
Required preliminary courses
None.
Learning outcomes
A student who has completed this course should have the following learning outcomes defined in terms of knowledge, skills and general competence:
Knowledge
On successful completion of this course the student:
- has basic knowledge of point set topology
- has basic knowledge of measure theory
- has basic knowledge of Fourier analysis
- has basic knowledge of complex function theory
Skills
On successful completion of this course the student:
- is able to prove some of the most fundamental results of mathematical analysis
- is able to apply basic notions and results in proofs and derivations
General competence
On successful completion of this course the student:
- is able to understand literature within these topics
- can transfer with trust this understanding to own research.
Teaching and learning methods
Lectures and tutored exercises.
Course requirements
None.
Assessment
Individual oral exam (1 hour).
The oral exam cannot be appealed.
New/postponed exam
In case of failed exam or legal absence, the student may apply for a new or postponed exam. New or postponed exams are offered within a reasonable time span following the regular exam. The student is responsible for registering for a new/postponed exam within the time limits set by OsloMet. The Regulations for new or postponed examinations are available in Regulations relating to studies and examinations at OsloMet.
Permitted exam materials and equipment
No aids are permitted
Grading scale
Grade scale A-F.
Examiners
Two internal examiners. External examiner is used periodically.
Course contact person
Professor Lars Tuset