Explores distribution interpolation spaces, convergence of sequences, derivatives, weak derivatives, and their applications in minimization problems.
Explores interior regularity results, focusing on weak solutions and unique selection in mathematical analysis.
Covers the definitions of continuous functions and derivatives, emphasizing the concept of functions being continuous at a point and the notion of derivatives.
Covers the Intermediate Value Theorem and its applications in finding solutions of equations and understanding the properties of continuous functions.
Covers normed spaces, dual spaces, Banach spaces, Hilbert spaces, weak and strong convergence, reflexive spaces, and the Hahn-Banach theorem.
