Lecture 1
 
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NONLINEAR DYNAMICS & PHASE-PLANES: This gives an overview of how local information and phase-planes can inform global (qualitative) solutions for nonlinear dynamics.
 
Lecture 2
 
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PREDATOR-PREY MODELS: This lecture generalises the concept of linearisation for 2x2 nonlinear dynamical systems, showing its application in the classical predator-prey model.