EPN-V2

ACIT4330 Mathematical Analysis Course description

Course name in Norwegian
Mathematical Analysis
Weight
10.0 ECTS
Year of study
2019/2020
Course history
Curriculum
SPRING 2020
Schedule
Programme description

  • Introduction

    The course focuses on a 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.

    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

    • Individual project report (5000-6000 words). The project examination counts 70% of the final grade.
    • Individual oral examination (20 minutes for each candidate). The oral examination counts 30% of the final grade.

    Both exams must be passed in order to pass the course.

    The oral examination cannot be appealed.

  • 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.

  • Content

    For the oral exam, students will not have access to computers or other aids.

  • Teaching and learning methods

    This course covers differences in user requirements due to user heterogeneity, situational variations and the wide range of hardware, software and versions of these. Identification of disabling barriers and how these can be eliminated or reduced through universal design of ICT is a central theme in this course. Furthermore relevant guidelines, regulations and legislation will be covered.

  • Course requirements

    None.

  • Assessment

    No formal requirements over and above the admission requirements.

  • Permitted exam materials and equipment

    None.

  • Grading scale

    Pass/fail.

  • Examiners

    • Individually written peer reviews of draft project reports from two other students, maximum one page each.
    • Individual oral presentation of journal or conference articles in class (15 to 20 minutes).
    • An individual online HCI-course must be conducted by students without HCI background. Estimated workload: 10 hours.
    • Participation: There is a minimum 80% mandatory participation in order for the student to pass this course.