| Call Number | 13340 |
|---|---|
| Day & Time Location |
TR 8:40am-9:55am 633 Seeley W. Mudd Building |
| 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 | 58 students (70 max) as of 9:06PM Thursday, May 8, 2025 |
| 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 |
| Note | EARLY REGISTRATION APAM ONLY, OPEN TO OTHER DEPTS 1/9/24 |
| Section key | 20241APMA4008E001 |