MATH 415: Applied Linear Algebra


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


This information applies to high school level students only


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.