Analysis of Phase Portraits in 2D Systems

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Covers rotations around fixed points and spherical coordinates, discussing cinematic moments and angular velocity.

Explores the convergence of fixed point methods and the implications of different convergence rates.

Explores the Banach Fixed Point Theorem, showing the uniqueness of fixed points in contraction mappings.

Explores the Newton method for non-linear equations, discussing convergence criteria and stopping conditions.

Covers fixed point methods and the Picard method for solving nonlinear equations iteratively.

Covers the computation of Bethe free entropy and the interpretation of messages between variables and factors.

Covers the formalism and bases of dynamic systems, including differential equations and non-linear systems.