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MAT610_1

Mathematical Analysis II

This is the study programme for 2020/2021.


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

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.

Contents

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.

Required prerequisite knowledge

None.

Recommended previous knowledge

MAT210 Real and Complex Calculus, MAT310 Mathematical Analysis

Exam

Weight Duration Marks Aid
Written exam1/14 hoursA - FValid calculator.

Course teacher(s)

Course teacher
Alexander Ulanovskii
Course coordinator
Alexander Ulanovskii
Head of Department
Bjørn Henrik Auestad

Method of work

6 hours of lectures and tutorials per week.

Open to

City and Regional Planning - Master of Science
Computer Science - Master's Degree Programme
Environmental Engineering - Master of Science Degree Programme
Industrial economics - Master's Degree Programme
Robot Technology and Signal Processing - Master's Degree Programme
Engineering Structures and Materials - Master's Degree Programme
Mathematics and Physics - Master of Science Degree Programme
Mathematics and Physics, 5-year integrated Master's Programme
Offshore Field Development Technology - Master's Degree Programme
Industrial Asset Management - Master's Degree Programme
Marine- and Offshore Technology - Master's 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's Degree Programme
Risk Management - Master's Degree Programme (Master i teknologi/siviling.)

Course assessment

Student Evaluation Forms and/or discussion are used according to current guidelines.

Literature

Literatur will be published as soon as it has been prepared by the course coordinator/teacher


This is the study programme for 2020/2021.

Sist oppdatert: 22.09.2020

History