Resources
For Postdocs
I co-created an EDI webpage for Manchester maths podsocs but a lot of the advice/resrouces will be relavent for postdocs outside of Manchester
For School Students
Maths A-level: Mechanics module
Exam style questions - feel free to email me for solutions
Displacement handout - illustrating the relationship between displacemnt, velocity and acceleration
Modulus handout - with examples comparing y=f(x) to y=|f(x)| and y=f(|x|)
Outreach event: seconday school
Mazes, Minotaurs and Maths
Handout - with background info and a worked example
Worksheet - with problems to have a go at
(Source - https://plus.maths.org/content/maths-amazes)
Lockdown teaching support: Primary school
Symmetry Worksheet - a resource to help a family friend with homeschooling
For University Students
These handouts were made after requested by students in my tutorial groups, but some of them might be of help even if you aren’t on these specfic courses.
MT2504
Sigma/summation notation revision
Inclusion-Exclusion handout - examples for n=2 and 3 and the proof of the general case
2020 Revision session notes 1 - covering double counting, bijections, derangements and past exam questions
2020 Revision session notes 2 - covering recursive formulas and fibonacci numbers (specifically focusing on guessing the “general term”, past exam questions and the staircase
MT2505
2021 Revision session notes - functions, congruences & normal subgroups
Inheritence properties handout - for groups and for rings/fields
MT2501
Basic proof layouts and techniques handout - originally intended for people studying Linear Maths, but potentially of use to any undergrad student
Finding eigenvalues and vectors - an example of finding eigenvalues and eigenvectors for a 3x3 matrix with one Eval/vec pair left to students for practice. At the end of the handout is an example of how to factor degree 3 polynomimals
‘Standard’ formula for linear transformations - a handout orginally made for a student curious about how to recover the ‘standard’ formula for a linear transformation when the basis is non standard