Lecturer

Sergey Zelik

E-mail: S.zelik@surrey.ac.uk

Class Details

MATM039: There will be two class tests and an examination.

Class tests: Thursday October 31 (Week 4) and Thursday December 12 (Week10) counts for 10% and 15% of the semester marks respectively

Examination counts for 75% of semester marks

There will be two unassessed courseworks for MATM039

Current year (2013):

Link to Function Spaces module here

Unassessed CourseWork I (now with solutions!) pdf

Unassessed Coursework II (now with solutions!) pdf

Test II with solutions pdf

Handwritten and scanned notes for the previous lectures:

Part I: Linear Operators. Preliminaries pdf

Part II: Banach Theorems and Weyl criterion pdf

Part 3: Self-adjoint operators and Gelfand’s formula pdf

Part 4: Compact and Fredholm operators pdf

Part 5: Hilbert-Schmidt theory pdf

Part 6: Sobolev Spaces, weak solutions and boundary value problems pdf

Part 7: Unbounded Operators: a brief introduction pdf

Function Spaces notes (handwritten) pdf

Henk Brun’s typed notes for Function Spaces pdf

Karen Saxe, "Beginning functional analysis", Springer, ISBN 0-387-95224
Nelson Dunford and Jacob Schwartz, “Linear Opeartors. Part 1. General Theory”, ISBN-13: 978-0471608486
Nelson Dunford and Jacob Schwartz, “Linear Opeartors. Part 2. Self-adjoint Operators in Hilbert Space”, ISBN-13: 978-0471608479

A brilliant engine for the online computing of partial derivatives, integrals, solving min-max problems and for doing many other things!