Linear Algebra

Linear Algebra is one of two grade 12 TOPS math classes that students may elect to study in grade 12. As students cover the content of the calculus curriculum in grade 11, they move to linear algebra in grade 12 in place of calculus for their MCV4U (Grade 12 Calculus and Vectors) credit. Students are introduced to a variety of mathematical concepts, including mathematical induction, counting principles, and generating functions. The course places a large emphasis on the study of vectors, with an emphasis on linear dependence and independence. This is supplemented by studies in the applications of vectors and matrices, as well as an introduction to the use of eigenvectors and eigenvalues. The contents of this course is comparable to the material studied in math- and science-focused majors in the first two years of university.