Lectures related to Tank Level Control

Hamiltonian Formalism: Conservation Laws

Explores the Hamiltonian formalism, conservation laws, preserved quantities, and differential equations in classical physics.

Canonical Transformations: Existence and Equations

Explores canonical transformations, focusing on existence, equations, simplicity, and differential equations' theory.

Kinetic Energy of Rotating Discs and Bars

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

Differential Equations: Solution Methods MOOC: Electrical engineering II

Explores the resolution of differential equations and the properties of exponential functions in electrical engineering.

Electric Motors: Principles and Applications

Explores electric motor principles, linearity, control systems, active suspensions, and Laplace transforms.

Simple Pendulum Dynamics

Explores the dynamics of a simple pendulum, emphasizing the impact of initial conditions on its motion and the importance of understanding tension in the string.

General Solution of Homogeneous Second Order Linear Differential Equations

Covers the general solution of homogeneous second-order linear differential equations with constant coefficients and the concept of linear independence of solutions.

First Order Differential Equation MOOC: Warm-up for EPFL

Covers first-order differential equations, including linear equations and applications in physics.

Simulation: Control of Dynamic Systems

Explores simulation of common structures and control of dynamic systems through friction and elasticity constants.

Rolling and Review Log in to Mediaspace to watch this video

Covers pure rotation, rolling without slipping, and converting reference frames in physics.

Homogeneous Differential Equations Log in to Mediaspace to watch this video

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

Numerical Analysis: Stability in ODEs Log in to Mediaspace to watch this video

Covers the stability analysis of ODEs using numerical methods and discusses stability conditions.

Material Point Model: Basics Log in to Mediaspace to watch this video

Covers the material point model, initial conditions, and Newton's laws in physics.

Solving Separable Equations Log in to Mediaspace to watch this video

Covers the method for solving separable equations and linear homogeneous equations, as well as a simple population growth model.

Ordinary Differential Equations: Non-linear Analysis Log in to Mediaspace to watch this video

Covers non-linear ordinary differential equations, including separation, Cauchy problems, and stability conditions.

Separable Differential Equations Log in to Mediaspace to watch this video

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

Linear Differential Equations Log in to Mediaspace to watch this video

Explores solving linear differential equations and the principle of superposition with illustrative examples.

Linear Differential Equations Log in to Mediaspace to watch this video

Explores linear differential equations, including higher-order linear homogeneous equations and equations with constant coefficients.

Linear Differential Equations: Order 1 Log in to Mediaspace to watch this video

Covers linear differential equations of order 1 and their solutions.

One Dimensional Harmonic Oscillator Log in to Mediaspace to watch this video

Explores the one-dimensional harmonic oscillator, equilibrium positions, and forced oscillators with external forces.