Lectures related to Advanced Analysis II: Cauchy Problem Resolution

Discusses the application of the Laplace transform to solve differential equations and explores its properties and examples.

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

Covers numerical differentiation, forward differences, Taylor's expansion, Big O notation, and error minimization.

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

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