Numerical Analysis

Linear algebra, transforms, ordinary differential equations (ODEs), vector fields, numerical integration, and advanced computational methods.

Statistics

Descriptive and inferential statistics, probability distributions, stochastic processes, and Monte Carlo simulation.

Machine Learning

Supervised and unsupervised learning, automated model selection, cross-validation, clustering, and model stability analysis.

Physics

Classical mechanics, electromagnetics, heat transfer, environmental modeling, orbital mechanics, oscillations, and astronomy.

Simulation Engines

Modular computational engines designed for integration with external visualization, simulation, and analysis platforms.