Advanced analysis IICovers Jordan-measurable sets, Riemann-integrability, and function continuity on compact sets.
Measurable Functions: IndependenceExplores independence between sigma-algebras and measurable functions, emphasizing countably additive measures and their role in defining independence.
Analysis: Measure and IntegrationIntroduces the course on measure and integration, focusing on developing a new theory to overcome the limitations of the Riemann integral.
Interior Regularity ResultsExplores interior regularity results, focusing on weak solutions and unique selection in mathematical analysis.