Some basic mathematics. It helps to know this material before you begin to master the material in the course.
Summary of ODE's (from a course that I taught at UBC, Vancouer): Click here
Second order equations (Mechanical vibrations): Click here
More theory on Pendulum - damped cases Damped Simple case , Damped General case
Lectures notes arranged topic-wise (not all of the material covered in class is included in these files)
Regular perturbation theory for ODE's: Click here
Singular perturbation theory for ODE's: Click here
1D Maps Click here
Mathematica and Matlab codes: All .nb extensions are Mathematica files and .m extensions are Matlab files
Regular perturbation for IVP: Click here
Singular perturbation (boundary layer problem): Click here
Van der pol oscillator (only for setting up the perturbation problem): Click here
Poincare section for Duffing oscillator: Click here
Solving the van der pol oscillator (On Matlab): Click here
Double pendulum (sensitivity to initial conditions - On Matlab): Click here
Logistic equation (code downloaded from internet, but can't recall from where? - I have no copyright over this): Click here
Koch curve (code downloaded from internet, but can't recall from where? - I have no copyright over this) : Click here