|Name||Cr||Method of study||Time||Location||Organiser|
|Functional analysis||10 Cr||General Examination||5.2.2020 - 5.2.2020|
|Functional analysis||10 Cr||Lecture Course||2.9.2019 - 16.12.2019|
|Functional analysis||10 Cr||General Examination||12.6.2019 - 12.6.2019|
|Functional analysis||10 Cr||General Examination||6.2.2019 - 6.2.2019|
|Functional analysis||10 Cr||General Examination||19.9.2018 - 19.9.2018|
|Functional analysis||10 Cr||Lecture Course||3.9.2018 - 23.12.2018|
|Functional analysis||10 Cr||General Examination||23.5.2018 - 23.5.2018|
|Functional analysis||10 Cr||General Examination||10.1.2018 - 10.1.2018|
|Functional analysis||10 Cr||Examinarium (electronic exam room)||2.11.2017 - 2.11.2017|
|Functional analysis||10 Cr||General Examination||1.11.2017 - 1.11.2017|
|Functional analysis||10 Cr||Lecture Course||4.9.2017 - 13.12.2017|
Master's Programme in Mathematics and Statistics is responsible for the course.
Belongs to the Mathematics and Applied mathematics module.
The course is available to students from other degree programmes.
Analysis I&II, Linear algebra I&II, Topology I
Elements of linear functional analysis including Banach and Hilbert spaces and linear operators between them, three basic principles, and applications to differential equations.
Recommended time/stage of studies for completion: 1. year
Term/teaching period when the course will be offered: varying
Introduction to linear functional analysis including Banach and Hilbert spaces and linear operators between them; topology of normed spaces; examples of Banach spaces including sequence and function spaces; three basic principles; Fourier-series; Sobolev spaces; applications to differential equations.
Activities and teaching methods in support of learning
Lectures and exercise classes
Funktionaalianalyysin peruskurssi, luentomoniste.
Rynne, B., Youngson, M., Linear Functional Analysis, Springer Undergraduate Mathematics Series, London, 2000. (Introduction to the topic)
Friedman, A., Foundations of Modern Analysis, Dover 1982. Conway, J. A Course in Functional Analysis. Springer, 1990. (Introduction to the topic) Werner, D., Funktionalanalysis, Springer Lehrbuch 1990. (In German)
Assessment practices and criteria
Exam and excercises, Course will be graded with grades 1-5.
Recommended optional studies
Elements of measure theory and complex analysis
Exam, other methods will be described later.