To present a careful treatment of the principal topics of linear algebra and to illustrate the power of the subject through a variety of applications. Topics including: systems of linear equations, determinants, matrices, vector spaces, linear transformations, eigenvalues and eigenvectors, and quadratic forms. Linear algebra is suitable for all students majoring in science or mathematics, or any other courses of study requiring it.
After completing this course, students will be able to understand the basic methods and techniques in linear algebra. This course also helps students develop their abilities in abstract thinking and logical reasoning.
Linear Algebra serves as a prerequisite for many courses, including numerical analysis, ordinary differential equations, partial differential equations, regression analysis, financial mathematics and financial engineering and etc.