Linear Algebra-MC215

Course description: : The course introduces first year undergraduate students (MnC) to Linear algebra.  Linear algebra is a branch of mathematics that studies systems of linear equations and the properties of matrices. The concepts of linear algebra are extremely useful in physics, economics and social sciences, natural sciences, and engineering. 

Course Goals:

After successfully completing the course, you will have a good understanding of the following topics and their applications:

Systems of linear equations

Row reduction and echelon forms

Linear dependence and independence

Subspaces and bases and dimensions

Orthogonal bases and orthogonal projections

Linear transformations

Eigenvalues and eigenvectors

Diagonalization of a matrix

Symmetric matrices

Similar matrices

Gram-Schmidt process

Linear models and least-squares problems

Prerequisites:  None 

Suggested Textbook/references: 

Introduction to Linear Algebra, Gilbart Starng, 4th ed. Wellesley, MA 

Linear Algebra Done Right, Sheldon Axler, Springer  

Linear Algebra, Hoffman and Kunze, Pearson 

Linear Algebra, J.H. Kwak, S. Hong, Springer 

Linear Algebra, S. Friedberg, A. Insel, L. Spence, Prentice Hall. 

Grading:  Midsemester exams (30% ), Final exam (50 %), Tutorials/ Quizzes (20%)