Course material
Literature
Simone Calogero: Ordinary and Partial Differential Equations: An Introduction.
- Version with hyperlinks suitable for screen reading (pdf Download pdf). Requires Acrobate Reader (or similar)
- Version without hyperlinks suitable for printing (pdf Download pdf)
Remark: We skip the sections, proofs, etc., marked with (•)
Errata in the lecture notes (updated 17 Dec): pdf Download pdf
Additional solutions of some selected exercises: pdf Download pdf
Jupiter notebook with some relevant Python codes: ipynb Download ipynb
List of formulas that will be provided in the exam: pdf Download pdf
A sample exam: pdf Download pdf Solution: pdf Download pdf
Online resources (optional)
Several well written notes on ODEs and PDEs can be found here Links to an external site.
Phase portrait of two-dimensional linear dynamical systems link Links to an external site.
Inspiring Videos
A general introduction to ODEs (video Links to an external site.)
Lagrangian ODEs and the variational principle (video Links to an external site.)
Chaotic dynamics and the Lorenz attractor (video Links to an external site.)
The three-body problem (video Links to an external site.)
The trillion dollar PDE (video Links to an external site.)
Old exams:
2023: January (pdf Download pdf), April (pdf Download pdf), August (pdf Download pdf)
2024: January (pdf Download pdf), April (pdf Download pdf), August (pdf Download pdf)
2025: January (pdf Download pdf)