Linear Algebra is widely used in the field of science, engineering and data analysis(e.g. Google’s search algorithm).The goal of this course is providing students with enough linear algebra knowledge for understanding of models, methods and theory, and applying to other areas with computational aspects related to real life situations. Topics will cover the following from textbook: 1. Matrices and Gaussian elimination; 2.Vector Spaces; 3. Orthogonality; 4. Determinants; 5. Eigenvalues and eigenvectors; 6.Positive definite matrices.
Upon completion, the students are expected to not only have a good understanding on the basic linear algebra knowledge and its applications, but also develop more rigorous mathematical techniques.