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Analysis III

2015-2016 academic year.

Lecturers: Sergey Nazarenko and Oleg Zaboronski

Timetable (maths): Mon 17:00-18:00 (L3), Tue 15:00-16:00 (MS.02), Thu 11:00-12:00 (MS.02)

The distribution of credit: Exam - 85%, Assignments - 15%

Exam format: 3 hour long, closed book. The first exam question tests the most basic knowledge of the course material and is worth 40%. The remaining questions will require an application of the tools learned during the course to solving of some concrete problems in Analysis


Assignment 1 (Due Monday, the 26th of October (Week 4), 15:00)

Assignment 2 (Due Monday, the 9th of November (Week 6), 15:00)

Assignment 3 (Due Monday, the 23rd of November (Week 8), 15:00)

Assignment 4 (Due Monday, the 7th of December (Week 10), 15:00)

Solutions (Please email any misprints you spot to Sergey or Oleg)

Set 1

Set 2

Set 3

Set 4 (The proof that $s_{00}$ is incomplete for any choice of norm can be found in the book 'A companion to analysis' by T. W. Korner)

Supplementary materials

Analysis books from UW library

Pr. John Jones, Draft notes on integration

Properties of Cantor function

The order of integration matters if conditions of Fubini's theorem are not satisfied (notes by J. Michael Boardman)