Dr Julia Goedecke

Current Teaching

In the winter semester 2021/22, I am assisting the course Linear Algbra for Physicists, lectured by Prof. Andreas Thom.

I have made a Gaussian Elimination Calculator (or see Gauss-Jordan Algorithmus Rechner auf Deutsch)and an Inverse Algorithm Calculator (using Numbas), where you can enter a linear system as an augmented matrix, resp. a square matrix, and then tell it which row operations you would like to do. The aim is to enable students to concentrate on which steps are required to get the matrix into reduced row echelon form, rather than the individual calculations per entry.

Previous teaching

In Leicester I taught Elements of Number Theory, Linear Algebra and Plane Geometry.

Cambridge Maths Tripos Groups Ia lecture course

In Michaelmas 2016 I lectured the Cambridge first year course on Groups (for the third time). Here is the lecture-accompanying blog Think for yourself, on which I particularly wrote about how to think about and learn maths at university.

Lecture notes (last update 16 January 2017)

Practice sheets (for personal practice, not for supervisions):
Practice Sheet A
Practice Sheet B
Practice Sheet C

Example sheets:
Example Sheet 1
Example Sheet 2
Example Sheet 3
Example Sheet 4

Previous year's example sheets and lecture notes can be found on the archive page.

Cambridge Maths Part III Category Theory lecture course

In Michaelmas 2013 I lectured the Part III course on Category Theory, as I also did in Michaelmas 2011 and 2012. Material is still here for interested people.

Lecture Notes

2013 example sheets:
Example Sheet 1
Example Sheet 2
Example Sheet 3
Example Sheet 4

Further examples:
Examples of categories and functors
Examples of adjunctions
Examples of coseparating sets and separating families
Notes on Adjunctions, Monads and Lawvere Theories by Filip Bár

Example sheets from previous years: on archive page.