Authentic STEM Education

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Creator(s) (alphabetical)

Padraig Ó Catháin, Patrick Browne

Organisation(s)

Technological University of the Shannon, TUS, Údarás na Gaeltachta

Discipline(s)

Mathematics and Statistics, Natural Sciences

Topic(s)

Curriculum Design, Digital Learning, Education for Sustainable Development (ESD), Open Education

License

CC BY-NC-SA

Media Format

Video

Date Submitted

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Description

As part of this project small workshops in linear algebra where held both nationally and internationally. The main workshop website is https://sites.google.com/view/tusdcu-linearalgebraworkshop/home

A one day workshop to help bring together early stage researchers to learn and discuss topics in Linear algebra.

Benefit of this resource and how to make the best use of it

Linear algebra is frequently introduced to first or second year undergraduates, and afterwards its results and concepts are taken for granted. But it is the rare undergraduate who understands the full details of the Jordan Canonical Form at the first presentation. In this short course, we will devote one morning to a complete analysis of a linear operator in terms of generalised eigenvalues. We will explain the significance of the Cayley-Hamilton theorem (and why no-one states the result appropriately). In the end, we will have a thorough understanding of the structure underlying the Jordan Form. Our approach will be mostly elementary, though we may use the word ‘module’ on occasion.

Creative Commons Attribution-NonCommercial-ShareAlike (CC BY-NC-SA)

This work is licensed under a CC BY-NC-SA license, allowing sharing and adaptation for non-commercial use with proper attribution, provided derivative works use the same license.

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Catháin, P. Ó., & Browne, P. (01/09/2025). Authentic stem education. National Resource Hub (Ireland). Retrieved from: https://hub.teachingandlearning.ie/resource/authentic-stem-education/ License: Creative Commons Attribution-NonCommercial-ShareAlike (CC BY-NC-SA).

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