ACIT4330 Mathematical Analysis Course description

This is the first phase of their research where the student can focus entirely on development and getting results for their project.

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

The student should have the following outcomes upon completing the course:

Knowledge

Upon successful completion of the course, the student:

• have advanced knowledge of how system administration and operations facilitate organizations
• have advanced knowledge of the terms and terminology used when system administration interfaces with an organization
• have advanced knowledge of processes applied to system administration in order to facilitate requests from other parts of an organization
• have deep knowledge of how an IT infrastructure is organized and what components it traditionally comprises of
• have a good understanding of the support architecture of an IT infrastructure, such as backup, issue tracking and configuration management

Skills

Upon successful completion of the course, the student:

• can analyze an IT infrastructure with regard to its components and their purpose
• can apply feature analysis in order to rank alternative components relative to their purpose
• can organize the flow of tasks in an operations team
• can propose ways to measure the performance of an operations team
• can leverage IaaS (cloud computing and virtual infrastructures) to provide systems, network and storage components to users
• can utilize infrastructure support services in order to leverage system deployment to users

General competence

Upon successful completion of the course, the student should:

• can discuss the role of system administration in an organization and society at large
• can analyze how operations can interface with the rest of an organization in order to improve overall proficiency

This course will feature weekly lectures and lab work to provide both theoretical and hands- on content. Students will work in groups and complete assignments given to them. The student will supplement the lectures and lab with their own reading.

• 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.

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

Students will be given two compulsory assignments during the semester. They both involve a technical setup along with a report of about 10 pages.

New exam for spring 2020: Individual home exam 3 hoursPost-poned exam autum 2020 will be given as an oral exam.

[Previous: Individual written exam 3 hours.]

The exam grade cannot be appealed.

Alle.

[None.]

Pass/fail.

Two internal examiners. External examiner is used periodically. The exam grade can be appealed.

Topics covered in this course:

• Operations and relevance to organizational change
• Namespaces
• Cloud deployment
• Configuration management
• Centralized logging
• Monitoring
• Backup
• Storage clusters