Lectures related to Properties of X/G

Discusses the graph of a relation and the concept of separation.

Covers the analysis of functions, composition, and mathematical induction.

Covers functions, integers, GCD, and reasoning by recurrence, including the Euclidean algorithm and induction principle.

Explores finding the equation of the tangent line to a function's graph at a point.

Explores the implicit functions theorem and the equation of the tangent plane in a graph.

Explains the Open Mapping Theorem for holomorphic maps between Riemann surfaces.

Explores real functions of two real variables, illustrating domains, images, and graphs.

Explores the properties and applications of Cayley graphs in group theory and network analysis.

Discusses separation criteria and quotient spaces in topology, emphasizing their applications and theoretical foundations.

Explores the Stein algorithm for polynomial identity testing and the minimization of a cut problem.