Lectures related to Methods of Demonstration: Equivalence and Cases

Numerical Methods: Differential Equations

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

Covers the existence and uniqueness of solutions for first-order differential equations and the superposition principle.

Advanced Analysis II: Differential Equations

Covers the review of differential equations and Lipschitz conditions for solving them.

Exponential of a Matrix

Explores the exponential of a matrix, properties, Frobenius norm, nilpotent matrices, commutativity, and system solutions.

Differential Equations in Motion

Explores differential equations for motion, including critical damping and damped oscillators, with applications in complex numbers and examples of mass-spring systems.