Sylvy's teaching

general information

• don't forget to visit the  smörgåsbord  of fun and recreational maths!

• or visit me during my  office hours 

• links to UCLan teaching webpages:
  • the course handbook
  • BSc course page
  • MMath course page
  • Blackboard (UCLan intranet)

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current teaching

The following materials relate to my current teaching.

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farrago

$\otimes$ Short notes from teaching

• The Rank-Nullity Theorem is a note written for a student at UCLan in 2017.
• Arithmetisation of syntax is a note from a course on Gödel's Incompleteness Theorems that I gave in the Nesin Mathematics Village in 2013.
• The Cayley-Hamilton, some thoughts about the proof is a note that came from a discussion in tutorials at Merton.

$\oplus$ Things prepared for interviews

• Riemann Surfaces (extended text), a 10-minute lecture.
• Riemann Surfaces, problem sheet 1.
• Here is a draft course outline for a graph theory course that I prepared for an interview in 2015.
• 10-minute lecture on Cauchy Sequences is the extended text of a lecture I prepared for an interview in 2015. Here is a slightly earlier version.
• 10-minute lecture on Series is the text of a lecture I prepared for an interview in 2015.

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past teaching

$\sim$ Academic year 2019--2020, UCLan

• Introduction to Algebra and Linear Algebra MA1811 (shared with Dr Bewsher)
• Further Real Analysis MA2821
• Graph Theory MA4823 (course design)

$\asymp$ Research supervision 2018, UCLan

• UURIP 2018 — UCLan Undergraduate Research Internship Programme
  • title: Fraïssé and Hrushovski constructions

$\sim$ Academic year 2018-2019, UCLan

• Introduction to Algebra and Linear Algebra MA1811 (shared with Dr Bewsher)
• Further Real Analysis MA2821
• Graph Theory MA4823

$\sim$ Academic year 2017-2018, UCLan

• Introduction to Algebra and Linear Algebra MA1811 (shared with Dr Bewsher)
• Cryptology MA2812 (shared with Dr Daws)
• Further Real Analysis MA2821
• Graph Theory MA4823 (course design)
• Special Mathematics Topics MA4999
  • title: Further theories of integration on the real line
  • project proposal
  • project specification

$\sim$ Academic year 2016-2017, UCLan

• Introduction to Algebra and Linear Algebra MA1811 (course plan)
• Further Real Analysis MA2821
• Graph Theory MA4823 (course design)
• Mathematics Project MA3999
  • title: Gödel and Turing — Incompleteness and Uncomputability
  • project proposal
  • project specification
• Special Mathematics Topics MA4999 (not running this year)
  • title: Fields and Arithmetic
  • project proposal

$\asymp$ Research supervision 2016, UCLan

• URIS 2016 — UCLan Undergraduate Research Internship Scheme
  • title: Fraïssé and Hrushovski constructions
  • project description

$\sim$ Academic year 2015-2016, UCLan

• Introductory Statistics MA1861 (skeletal lecture notes)
• Lagrangian and Hamiltonian Mechanics MA2841 (skeletal lecture notes)

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