Eigenvalue problems in Riemannian geometry lie at the intersection of analysis, topology and global geometry. At their core is the study of spectral data—eigenvalues and eigenfunctions—associated with ...

Numerical linear algebra, eigenvalue problems, optimization problems, and ordinary and partial differential equations. Prereq., APPM 5600 or MATH 5600. Prerequisites: Restricted to Graduate Students ...

Introduces linear algebra and matrices with an emphasis on applications, including methods to solve systems of linear algebraic and linear ordinary differential equations. Discusses vector space ...