Math 415: Applied Linear Algebra

This course is currently shut down; see a message from the NetMath Director here. The UIUC Mathematics Department has replaced this course with Math 257, which will be offered by NetMath in the Summer 8-week session. We are working on tools to offer the course more broadly in the self-paced format. 


Introductory course emphasizing techniques of linear algebra with applications to engineering; topics include matrix operations, determinants, linear equations, vector spaces, linear transformations, eigenvalues and eigenvectors, inner products and norms, orthogonality, equilibrium, and linear dynamical systems.


Math 415 syllabus.pdf

NetMath 415 course overview.pdf


MATH 241 or equivalent.

Credit Hours


Undergraduate Students  
Graduate Students  

Students with a Bachelor's degree will be assessed graduate level tuition rate for this course. However, one cannot receive graduate level credit for courses numbered below 400 at the University of Illinois.


Exams: This course has two 90-minute midterm tests and a 3-hour final exam.

Proctorship Information: Exams in this course may be taken online.

Students with a course start date on or after January 1st, 2023 should refer to this page for exam taking information.

Once registered, students will find relevant exam taking information and all other course requirements within their Nexus student dashboard.


Course Options

Please Note: Students currently registered in a University of Illinois Graduate Degree program will be restricted from registering in 16-week Academic Year-term NetMath courses. Matriculating UIUC Grad students will be allowed to register in Summer Session II NetMath courses. 

This page has information regarding the self-paced, rolling enrollment course. If you are a UIUC student interested in taking a course during the summer, you may be interested in a Summer Session II course.



Individual students enrolled in this course are assigned to a course mentor


Course Timeline

Your time in the course begins on the date your registration is processed. This course is 16 weeks long with the possibility of purchasing an extension. Eligible students may purchase a single 2-month extension for $300. Click here to learn more.