Power Systems Dynamics: Transient Stability

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Covers the analysis of speed variation using differential equations and small time intervals.

Explores elasto-gravity bending in thin sheets, covering bending energy, equilibrium shapes, and numerical methods.

Delves into charging capacitors, analyzing circuits with time-dependent current and exploring parallel and series configurations.

Covers Euler and Crank-Nicolson methods for solving differential equations.

Covers the application of numerical methods to solve differential equations using MATLAB.

Explores the deformations of an inextensible sheet bent under self-weight and its equilibrium shapes under gravity.

Explores the relationship between current and voltage, sinusoidal signals, and impedance in electrical circuits.

Covers the process of making scientific software and discusses rules and requirements for related projects.

Explores inverse monotonicity in numerical methods for differential equations, emphasizing stability and convergence criteria.

Introduces ordinary differential equations, their order, numerical solutions, and practical applications in various scientific fields.

Covers the correction of an exam from 2018, focusing on Taylor polynomials and Jacobian matrices.

Covers the addition of springs in series and parallel, exploring equivalent movements.

Explores the analysis of a ball's trajectory in contact with a beam, focusing on forces, angles, and motion equations.

Explores a problem of a ball winding around a cylinder, emphasizing coordinate system selection.

Covers the numerical approximation of PDEs, including Poisson and heat equations, transport phenomena, and incompressible limits.

Revises linear differential equations with constant coefficients of higher order and their geometric interpretation.

Covers introductory statistics, engineering cycle, Wheatstone bridge, and mechanical watch tuning.

Covers the Lumped Element Model, 'lumping' systems, equivalent circuits, and domain conversion.

Introduces ordinary differential equations, discussing definitions, examples, solutions, and the transition from implicit to explicit forms.

Explores the Verlet scheme, magnetic fields, speed-dependent forces, and nonlinear physics through simulations and exercises.

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