Tom will be teaching the following online courses in 2026 at Oxford Lifelong Learning:

This course begins on the 15 Jan 2026 which is when course materials are made available to students. Students should study these materials in advance of the first live meeting which will be held on 22 Jan 2026, 7:30-8:30pm (UK time).

Week 1: Solving a Linear System and Finding a Matrix Inverse via Elementary Row Operations
Week 2: The Determinant Function
Week 3: Eigenvalues and Eigenvectors
Week 4: Vector Spaces and Subspaces
Week 5: Basis, Spanning and Linear Independence
Week 6: Dimension Formula and Direct Sum
Week 7: Linear Transformations
Week 8: Rank Nullity Theorem
Week 9: Inner Product Spaces and the Gram-Schmidt Procedure
Week 10:  Spectral Theorem     

This course begins on the 14 Apr 2026 which is when course materials are made available to students. Students should study these materials in advance of the first live meeting which will be held on 21 Apr 2026, 7:30-8:30pm (UK time).

Week 1: Differential Equations
Week 2: Solving ODEs
Week 3: Optimisation
Week 4: Partial Differentiation
Week 5: Taylor’s Theorem and Critical Points
Week 6: Partial Differential Equations
Week 7: Heat Equation
Week 8: Fourier Series
Week 9: Applications
Week 10: Integrals

Click the buttons above to go direct to the official Oxford University webpages with full information, including how to sign-up.

All those enrolled on an online course are registered for credit and will be awarded CATS points for completing work at the required standard.

All students who pass their final assignment will be eligible for a digital Certificate of Completion. Upon successful completion, you will receive a link to download a University of Oxford digital certificate. Information on how to access this digital certificate will be emailed to you after the end of the course. The certificate will show your name, the course title and the dates of the course you attended. You will be able to download your certificate or share it on social media if you choose to do so.