Introduces hyperbolic geometry, covering complete metric spaces, isometries, and Gaussian curvature in dimension 2.
Covers the calculation of integrals over unclosed curves, focusing on essential singularities and residue calculation.
Explores the derivative of curve lengths, fixed-end deformations, geodesics, surface point typologies, and sphere parametrization.
Covers the definition and properties of the Riemann Zeta function, including convergence and singularities.
Explores hyperbolic functions, their properties, and derivatives, including tanh(x) and arctanh(x).
Covers the residual theorem from Cauchy, focusing on simple closed curves and holomorphic functions.
