Advanced Mathematical Methods
General information
Module Info
Selected handouts
Linear systems of ODEs
Planar dynamical systems
Poincare-Bendixson
Stability of limit cycles
Approximations of limit cycles
Selected slides
Linear systemsof ODEs
Algebraic and geometric multiplicities
Dynamical systems (I)
Dynamical systems (II)
Laplace transform (II)
Laplace transform (III)
Conformal mapping (II)
Conformal mapping (III)
Tutorials
Practice Questions 1
Linear systems of ODEs.
Practice Questions 2
Simple dynamical systems; equilibrium points & their classification; Hartman-Grobman theorem.
Practice Questions 3
Limit cycles; Poincare-Bendixson.
Practice Questions 4
Floquet theory; perturbation methods.
Practice Questions 5
Conformal mappings & their applications.
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Last updated: Dec 2023