MATH 415: Applied Linear Algebra

This information applies to high school level students only

This course is temporarily shut down. The course is currently under redevelopment and we anticipate reopening registrations in fall 2023. For more information, see a message from the NetMath Director here.


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.


Prerequisite: Calculus III or equivalent

Courseware: This course uses the CAS-ILE™ online system, which costs $99. Please see our CAS-ILE Overview page for more information.


Math 415 syllabus.pdf

NetMath 415 course overview.pdf

Credit Hours



Illinois High School Students  
Non-Illinois High School Students  
Courseware Cost $99

This course uses the CAS-ILE online system, which costs $99. Please see CAS-ILE Overview Page for more information.


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


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

Proctorship Information: This course requires that you obtain a proctor. For most high school students, the High School Coordinator also acts as a proctor for the exams. For more information, see our High School Courses page or Proctor Information page.

Course Timeline:

Course Timeline (high school students): This course is 9 months long.