MAT3004: Introduction to Function Spaces

Lecturer

Sergey Zelik

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

Class Details

Day

Time

Room

 weeks

 Wednesday

10:00-12:00

22AA04

1 12

Thursday

4:00-5:00

22AA04

1 -12

Tutorial

TBA

TBA

2 12

Assessment

MAT3004: There will be two class tests and an examination.

Class tests: Two class tests counts for 12% (Thursday, March 16th) and 13% (Thursday, May 18th) of the semester marks respectively. Examination counts for 75% of semester marks

Unassessed Assignments

There will be two unassessed MOCK-tests (one-week prior the Assessed ones for MAT3004)

Course material (hand-outs/assignments)

 

Metrics and norms, convergence and continuity pdf

Open and closed sets, topology pdf

Completeness and completion pdf

Compactness, Hausdorff and Arzela theorems pdf

Banach Contraction Theorem and applications to ODEs pdf

Hilbert spaces and abstract Fourier series pdf

Classical Fourier series pdf

 

Current year (2017):

Mock-Test 1 with solutions pdf

Assessed Test 1 with solutions pdf

Mock-Test 2 with solutions pdf

Assessed-Test 2 with solutions pdf NEW!!

Previous year exam paper pdf with INFORMAL solutions pdf NEW!!

Previous years:

2016

 

2013

 

2012

 

2011

 

2010

  Coursework 1 (2010) MMath and BsC with solutions

Test with solutions (2010) pdf

Coursework 2 (2010) MMAth and BsC

 

2009

 

2008

Past Exam papers

2009 2010 2011 2012 2013

Additional reading

Further texts can be found in the library. For example:

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!