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  MATM022 Module Description


MATM022: Functional Analysis and PDEs


Sergey Zelik


Class Details








1 12




1 --12

Wednesday (tutorial)



1 12


MATM022: There will be two class tests and an examination.

Class tests: Tuesday day Week 7 and Thursday Week 10 counts for 13% and 12% of the semester marks respectively

Examination counts for 75% of semester marks

Unassessed Assignments

There will be two unassessed courseworks for MATM022

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



General material:

Link to Function Spaces module here

Henk Bruns typed notes for Function Spaces pdf

Questions for self-control .pdf

Additional exercises .pdf

Scanned handwritten Lectures (Full Notes) pdf

NB: Contain most part of the required material and a bit more, but there

is no one-to-one correspondence with the current year. Please, attend the lectures!!


Lectures split by topics:

Introduction pdf

A reminder: vector and normed spaces pdf

Convexity and inequalities pdf

A reminder: convergence and continuity pdf

Completeness, completion and Lebesgue spaces pdf

Compactness pdf

Linear functionals, dual spaces and representation theorems pdf

Weak and weak star convergence pdf

Distributions pdf (Not taught this year)

Sobolev spaces, integral inequalities and embedding theorems pdf

Weak solutions for PDEs pdf


Current year (2016):


CourseWork I pdf with solutions

Test 1(2016) with solutions pdf

CourseWork II pdf with solutions

Test II (2016) pdf with solutions!


Previous years:

CourseWork I (Year 2015) pdf with solutions

ClassTest I (Year 2015) pdf with solutions

CourseWork II (Year 2015) pdf with solutions

ClassTest II (Year 2015) pdf with solutions

CourseWork 1 with solutions (Year 2009) .pdf

Test with solutions (Year 2009) .pdf

Coursework 2 (Year 2009) .pdf

Final Test (year 2007) .pdf with solutions .pdf

CourseWork1 (year 2007) .pdf

CourseWork2 (year 2007) .pdf

ClassTest1 (year 2007) .pdf

Exam 2015 pdf with Informal Solutions pdf NEW!!!

Additional reading