← Standard syllabus

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In this program

Autonomous ODEs
Phase lines
Bifurcations in one-dimensional systems (saddle-node, transcritical)
Planar linear systems: classification via eigenvalues
Phase plane analysis and nullclines
Liapunov functions (introduction)

First-order and planar systems

Phase plane analysis and nullclines

Dynamical systems · Standard syllabus

Topic

Phase plane analysis and nullclines

Practice by unit: First-order and planar systems

Undergraduate Dynamical Systems — scope drawn from open dynamical systems notes and typical US intro dynamical systems syllabi.

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