Ordinary Differential Equations and Dynamical Systems (available
freely as PDF file) Chapters 1, 2, 3, 6, 7, 9
A good set of lecture notes. 1,2,3 are relevant.
ODE Handbook: very concise summary and a lot of exercises with solutions. Mostly Sections 1, 2, a bit of 3.
An elementary, complete proof of Hartman-Grobman.
A book on numerical methods for ODE's. We have covered a subset of 1,2,3,4,5,6 but this has a lot more details.
Great lecture notes on numerical analysis.
Huge list of interesting exercises (Qual exams from U. Maryland).
Not all of them are on topics we have covered, and many of them are non trivial!