Spring 2025 Applied Mathematics E4008 section 001

Advanced and Applied Linear Algebra

Advanced Linear Algebra

Call Number 14610
Day & Time
Location
MW 1:10pm-2:25pm
To be announced
Points 3
Grading Mode Standard
Approvals Required None
Instructor Yuan He
Type LECTURE
Method of Instruction In-Person
Course Description

Advanced topics in linear algebra with applications to data analysis, algorithms, dynamics and differential equations, and more. (1) General vector spaces, linear transformations, spaces isomorphisms; (2) spectral theory - normal matrices and their spectral properties, Rayleigh quotient, Courant-Fischer Theorem, Jordan forms, eigenvalue perturbations; (3) least squares problem and the Gauss-Markov Theorem; (4) singular value decomposition, its approximation properties, matrix norms, PCA and CCA.

Web Site Vergil
Department Applied Physics and Applied Mathematics
Enrollment 33 students (70 max) as of 12:06PM Tuesday, December 3, 2024
Subject Applied Mathematics
Number E4008
Section 001
Division School of Engineering and Applied Science: Graduate
Open To Columbia College, Engineering:Undergraduate, Engineering:Graduate, GSAS, General Studies
Section key 20251APMA4008E001