This first level math course covers basics of linear algebra including vector spaces, matrix algebra, linear transformations, eigenvalues and eigenvectors, orthogonality, properties of symmetric matrices, positive definite matrices, and SVD. The course is developed with an aim to provide a strong foundation in linear algebra which will be used in the subsequent curriculum by both CS and ECE students. Time permitting, some applications of linear algebra in engineering disciplines will be introduced. The course also attempts to increase the mathematical maturity of students by introducing proofs and
mathematical rigour.
Students are able to compute solutions, forms and metrics related to linear algebra using the applicable results/methods (students provided with a full list)
Students are able to test/classify for the given conditions using the given criteria or test (students provided with a full list)
Students are able to determine the truth/falsity of statements involving vector spaces & linear transformations and justify or explain the answer using any of the techniques/results covered up to date
Students are able to construct proofs for statements involving vector spaces and linear transformations using any of the results covered up to date
Students are able to design alternative methods/algorithms/tests using the results covered up to date