Lectures related to Climate Modeling: Equations, Numerical Solutions, and Uncertainties

Explores solving the Poisson problem using Fourier transform, discussing source terms, boundary conditions, and solution uniqueness.

Covers the basics of Partial Differential Equations, focusing on heat transfer modeling and numerical solution methods.

Explores direction fields, Euler methods, and differential equations through practical exercises and stability analysis.

Explores the application of the law of Hooke to spring problems and solving equations of motion for block-spring systems.

Provides an overview of advanced mechanisms analysis using Finite Element Method and Finite Element Analysis in engineering applications.

Explores numerical methods in biomechanics for hip implants and emphasizes understanding conditions for improved designs and patient outcomes.