Lectures related to Equidistribution of CM Points

Introduces hyperbolic geometry, covering complete metric spaces, isometries, and Gaussian curvature in dimension 2.

Explores real functions, covering parity, periodicity, and polynomial functions.

Introduces differential forms on manifolds, covering tangent bundles and intersection pairings.

Covers functions, differentiability, Taylor expansions, and integrals, providing fundamental concepts and practical applications.

Explores the relationship between series and integrals, highlighting convergence criteria and function examples.

Discusses approximation by smooth functions and the convergence of function sequences in normed vector spaces.

Explores convergence criteria for series and functions, including the squeeze theorem and D'Alembert's criterion.

Covers advanced topics in analysis, focusing on integrals, functions, and their properties.

Provides solutions to an Analysis I exam, covering various topics.

Explores limits, convergence, and boundedness of functions and sequences.

Covers the limited development of integration and methods for calculating the limit development of functions and antiderivatives.

Covers functions, including even and odd functions, periodicity, and function operations.

Explores improper integrals, convergence criteria, comparison theorems, and solid revolution.

Explores the continuity of functions in R² and R³, emphasizing accumulation points and limits.

Explores differentiating under the integral sign and continuity of functions in integrals.

Explores Taylor series convergence and applications in approximating functions and solving mathematical problems.

Introduces the fundamentals of functions in microcontroller programming, emphasizing naming rules and step-by-step development.

Explores minimal surfaces, curvature, Laplace-Beltrami operator, numerical solutions, Laplacian smoothing, diffusion flow, and time integration.

Explores harmonic forms on Riemann surfaces and the uniqueness of solutions to harmonic equations.