- Lecture 1 First order ODEs
- Lecture 2 Autonomous first order ODEs.
- Lecture 3: Second order ODEs
- Lecture 4: Equations of the form x^\prime\prime (t) = G(x(t)). Math form of the energy preserving law. Critical points. Symmetries. Periodic solutions.
- Lecture 5: Two body problem on a line
- Lecture 6: Systems of linear ODEs with constant coefficients
- Lecture 7: Stability of equilibria points coefficients
- Lecture 8: Linear equations of order $k$ with constant coefficients