Lectures related to Vertical Metronome: Equilibrium and Stability

Covers the Laplacian operator in different coordinate systems and its applications in differential equations.

Covers kinetic energy, motion equations, and modeling of rotating discs and bars.

Explores solving the Poisson problem using Fourier transform, discussing source terms, boundary conditions, and solution uniqueness.

Covers separable differential equations of order 1, defining separable equations and providing examples.

Explores solving first-order homogeneous differential equations through variable changes and delves into the Bernoulli differential equation.

Introduces equilibrium points and bifurcations in differential equations, discussing their stability and relevance in various contexts.

Explains risk premium calculation in Excel using continuation prices and discounted cash flows.