Advanced Analysis 2: Continuity and Limits

Explores dense sets, Cauchy sequences, periodic solutions, and unique solutions in differential equations.

Explores the necessity of uniform continuity for continuous functions on compact sets.

Explores limits, continuity, and uniform continuity in functions, including properties at specific points and closed intervals.

Explores criteria for continuity, convergence of sequences, and equivalence conditions for continuous functions.

Covers matrix diagonalization, compact sets, continuity of functions, and the Mandelbrot set.