Lectures related to Surfaces: The Torus

Covers the definition of differential equations and their relation to functions and derivatives.

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

Explores the analytic continuation of the zeta function and its relation to holomorphic functions and natural numbers.

Explores material and energy balances in chemical engineering for process optimization and design.

Covers velocity, acceleration, dynamics, moments of inertia, and kinetic energy storage systems.

Explores chaos in quantum field theories, focusing on conformal symmetry, OPE coefficients, and random matrix universality.