Mathematical Analysis II (MAT610)

The course gives an introduction to Functional Analysis, including applications to Harmonic Analysis.


Course description for study year 2023-2024. Please note that changes may occur.

Facts

Course code

MAT610

Version

1

Credits (ECTS)

10

Semester tution start

Spring

Number of semesters

1

Exam semester

Spring

Language of instruction

English

Content

Introduction to the basic theory of Hilbert and Banach spaces, L_p-spaces, Paley-Wiener spaces and sampling of continuous functions. The emphasis is made on both theoretical understanding and use.

Learning outcome

After completing the course, the student will have knowledge of key concepts and ideas in Functional Analysis. Furthermore, the student will have knowledge of selected advanced topics such as Paley-Wiener spaces and sampling of continuous signals.

Required prerequisite knowledge

MAT210 Real and Complex Calculus

Recommended prerequisites

MAT310 Mathematical Analysis

Exam

Form of assessment Weight Duration Marks Aid
Written exam 1/1 4 Hours Letter grades Valid calculator

Course teacher(s)

Course coordinator:

Alexander Ulanovskii

Course teacher:

Alexander Ulanovskii

Course teacher:

Alexander Rashkovskii

Head of Department:

Bjørn Henrik Auestad

Method of work

6 hours of lectures and tutorials per week.

Open for

City and Regional Planning - Master of Science Computer Science - Master of Science Degree Programme Environmental Engineering - Master of Science Degree Programme Industrial economics - Master of Science Degree Programme Robot Technology and Signal Processing - Master's Degree Programme Structural and Mechanical Engineering - Master of Science Degree Programme Mathematics and Physics - Master of Science Degree Programme Mathematics and Physics - Five Year Integrated Master's Degree Programme Offshore Field Development Technology - Master of Science Degree Programme Industrial Asset Management - Master of Science Degree Programme Marine and Offshore Technology - Master of Science Degree Programme Offshore Technology - Master's Degree Programme Petroleum Geosciences Engineering - Master of Science Degree Programme Petroleum Engineering - Master of Science Degree Programme Technical Societal Safety, Master of Science Degree Programme Risk Management - Master's Degree Programme (Master i teknologi/siviling.)

Course assessment

There must be an early dialogue between the course coordinator, the student representative and the students. The purpose is feedback from the students for changes and adjustments in the course for the current semester.In addition, a digital course evaluation must be carried out at least every three years. Its purpose is to gather the students experiences with the course.

Literature

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