Dr Amol Sasane

This course is available on the MSc in Applicable Mathematics. This course is available with permission as an outside option to students on other programmes where regulations permit.

Students must have completed Further Mathematical Methods (MA212).

This course aims at familiarizing the student with the basic concepts, principles and methods of functional analysis and its applications. The topics covered are: normed and Banach spaces, continuous linear transformations, inner product and Hilbert spaces, compact operators, applications to differential equations, numerical analysis, optimization, and approximation theory with illustrative examples.

20 hours of lectures and 9 hours of seminars in the LT. 2 hours of lectures and 1 hour of seminars in the ST.

Jean-Pierre Aubin, Applied Functional Analysis, Wiley, 2000; A.V. Balakrishnan, Applied Functional Analysis, Springer, 1981; Erwin Kreyszig, Introductory Functional Analysis with Applications, John Wiley, 1989; Nicholas Young, An Introduction to Hilbert Space, Cambridge University Press, 1988.

Exam (90%, duration: 2 hours) in the main exam period.
Coursework (10%) in the ST.