Discusses differentiation of multivariable functions and coordinate transformations, including polar and cylindrical coordinates, along with the Laplacian operator and its applications.
Covers the expression of the Kirchhoff-Saint Venant energy in a covariant setting and explores equilibrium equations for spherical shells and linear shell theory.
Explores constructing correlators using path integrals in quantum mechanics, focusing on the Euclidean and Minkowski spaces and the significance of imaginary time evolution.