Explore the convergence of integration methods and root finding techniques using Sympy in this informative lecture. Delve into advanced numerical analysis concepts as Prof. Ryan C. Cooper guides you through the intricacies of computational methods. Gain valuable insights into the application of Sympy for solving complex mathematical problems and enhancing your understanding of numerical integration and root-finding algorithms. Over the course of 37 minutes, learn how to implement and analyze various integration methods, evaluate their convergence rates, and apply root-finding techniques using the powerful Sympy library.