Course notes pdf
Examples Sheet 1 pdf
Examples Sheet 2 pdf
Examples Sheet 3 pdf
Examples Sheet 4 pdf
Course guide pdf
Course notes pdf
Chapter 8 pdf
Examples Sheet 1 pdf
Examples Sheet 2 pdf
Examples Sheet 3 pdf
Examples Sheet 4 pdf
Background notes: Banach spaces pdf
Background notes: Measure theory pdf
Background notes: Complex Analysis pdf
Background notes: Hilbert spaces pdf
Below is the list of my examples sheets from Michaelmas 2014. Start with the lecturer's sheet . If you need some further challenging questions look at my sheets. I have included some suggestions but feel free to make your own choice. The plus questions are particularly recommended. The additional sheet has lots of questions. Ask me in supervision if you need some guidance on what to try or if you need some explanation concerning notation or terminology.
Examples Sheet 1 pdf questions 10, 12, 14
Examples Sheet 2 pdf questions 6, 8, 9, 10, 12, 13, 14
Examples Sheet 3 pdf questions 9, 10, 11, 13, 14
Examples Sheet 4 pdf questions 9, 11, 12, 14
More questions pdf
Examples Sheet 1 pdf
Examples Sheet 2 pdf
Examples Sheet 3 pdf
Examples Sheet 4 pdf
A special case of Lindelöf-Picard pdf
Arbitrary product spaces (non-examinable) pdf
Inverse Function Theorem (including the non-examinable part) pdf
Local extrema and the Hessian (non-examinable) pdf