András Zsák

Part III Metric embeddings, Lent 2020

Examples Sheet 1   pdf  

Examples Sheet 2   pdf  

Examples Sheet 3   pdf   (updated on 28 Apr: typo in Q2 corrected)

Part IB Analysis and Topology, Michaelmas 2019

Examples Sheet 1   pdf  

Examples Sheet 2   pdf   (updated on 5 Nov: Q11 changed to remove some technicality and typo in Q6 corrected)

Examples Sheet 3   pdf   (updated on 15 Nov: typo in Q8 corrected)

Examples Sheet 4   pdf  

Additional Examples (not for supervisions!)   pdf  

An application of Theorem 4.8 (Lindelöf-Picard)   pdf  

Notes on product topology for arbitrary, not necessarily finite, products (non-examinable)   pdf  

Notes on the inverse function theorem and Taylor's theorem (non-examinable)   pdf  

Part II Linear Analysis supervisions, Michaelmas 2019

Below is the list of my examples sheets from Michaelmas 2014. Start with the lecturer's sheet . If you find them easy and you need some more 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