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MATM039: Linear Operators and Spectral Theory

Lecturer

Sergey Zelik

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

Class Details

Day

Time

Room

 weeks

 Monday

14:00-16:00

17AC03

1 11

Thursday

13:00-14:00

20AC03

1 -11

Wednesday (tutorial)

TBA

?

1 11

Assessment

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

Unassessed Assignments

There will be two unassessed courseworks for MATM039

Course Material (Notes Exercises, hand-outs, assignments)

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 Gelfands 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 Bruns typed notes for Function Spaces pdf

 

Additional reading

External links

http://www.wolframalpha.com/

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