Resources for MATH3969: Measure Theory and Fourier Analysis (Advanced)

This page contains links to tutorial and assignment sheets and other handouts (no hard copies will be distributed).

Also look at the Unit Information Sheet.

What's New

Important announcements will be posted here.

  • Pre exam consultations: you can see me any time. If you want to be sure I am in send a brief e-mail.
  • >>> Look at the Exam Information:

    Check the official exam timetable and information for the time and date of the exam.

    Only material covered in lectures and tutorials will be tested. The exam will also contain questions on the theory and proofs, and not just problems to solve.

    You can look at the 2009 exam and solutions.

  • >>> If you plan to do Honours, it is time to apply now. You need to fill in a (paper) form and submit it to the Faculty. More information and application forms are available from the honours information page of the Faculty.
  • Quiz 2 has been returned in class on Monday 24 October. Solutions are available. All uncollected assessments can be picked up from my office (Carslaw 715)
  • The assignment has been returned in class on Monday 17 October. Solutions are available.
  • Quiz 2 takes place on Wednesday 18 October during the tutorial. Material covered is up to and including the definition of the limit theorems (monotone/dominated convergence theorem) and applications, \(L^p\)-spaces, convolutions, approximate identities and Fourier transforms in \(L^1\) and \(L^2\), including Plancherel's theorem and the inversion formula.

    Note that all rules regarding special consideration apply.

  • If you plan to do Honours next year consider going to the AMSI Summer School. Up to one course may be credited towards Honours (approval from the relevant Honours Coordinator needed).
  • The assingment is now available. It is due Friday 7 October. (note the new due date)
  • If you are interested attend the Mathematics Honours Information Session on Tuesday 20 September 1-2pm in Carslaw Room 350. There will be brief talks and light refreshments.
  • Applications for Vacation Scholarships for Summer 2011/2012 are due 20 September.
  • The quiz has been returned in class on 29 August. Solutions are available. If you have not received yours you can pick it up from my office (Carslaw 715) any time.
  • Quiz 1 takes place on Wednesday 24 August during the tutorial. Material covered is up to and including the definition of the Lebesgue integral of non-negative functions in Section 10 of the lecture notes. Excluded is the monotone convergence and what follows. Tested will be the definitions, main theorems and the ability to apply and verify these in simple examples

    Note that all rules regarding special consideration apply.

Schedule

Tutorial and assignment sheets and solutions are available as PDF files. If you have problems printing the PDF files look at the PDF Help Page

Tutorials (PDF) Assessments due Other handouts
Week 1 No Tutorials    
Week 2 Tutorial 1 / Solutions    
Week 3 Tutorial 2 / Solutions   Notes on topology (relevant material from MATH2962)
Week 4 Tutorial 3 / Solutions    
Week 5 Tutorial 4 / Solutions Quiz 1 / Solutions Notes on limsup and liminf (relevant material from MATH2962)
Week 6 Tutorial 5 / Solutions    
Week 7 Tutorial 6 / Solutions    
Week 8 Tutorial 7 / Solutions    
Week 9 Tutorial 8 / Solutions Assignment due 23 Sep (postponed)  
  Semester break    
Week 10 Tutorial 9 / Solutions Assignment due 7 Oct / Solutions  
Week 11 Tutorial 10 / Solutions    
Week 12 Tutorial 11 / Solutions Quiz 2 / Solutions  
Week 13 Tutorial 12 / Solutions    
For questions or comments please contact webmaster@maths.usyd.edu.au