Math 31246: Applied Linear Algebra

Supervisor: María Sánchez-Muñiz

An introductory course in linear algebra emphasizing both mathematical foundations and computational practice. Topics include vector operations and geometry, norms, linear systems and Gaussian elimination, linear independence, bases, orthogonalization, matrix factorizations (LU, QR, SVD), eigenvalue decomposition, determinants, rank, and inverses. Students implement and visualize these concepts in Python through hands-on labs and modules. Applications from data science, machine learning, image processing, dynamical systems, and network analysis motivate the theory throughout.

Prerequisites: Math 20100 and either CSc 10200 or CSc 10300. Open only to Computer Science and Applied Mathematics majors. For permission to enroll, contact the math department at mathregistration@ccny.cuny.edu.

Credits: 4
Hours: 3 hour lecture with a 2 hour computer lab per week.

Fall 2026

For Fall 2026, there are two sections scheduled:

• Section L, meeting Tuesday and Thursday 9:30-10:45am, with a computer lab Wednesdays 10-11:40am.
• Section M, meeting Tuesday and Thursday 11:00am-12:15pm, with a computer lab Wednesdays 12-1:40pm.

Both sections will be taught by Dr. Sánchez-Muñiz