"On completion of the course the student shall be able to:
- Define basic vector space concepts such as linear space, linear dependence, basis, dimension, linear transformation.
- Discuss the concepts of eigenvalue, eigenspace and eigenvector and know how to compute these objects.
- Perform operations to solve a system of linear differential equations with constant coefficients.
- Use the theory, methods and techniques of the course to solve mathematical problems."
"Building on the intuitive understanding and calculation techniques from Introduction to Calculus and Linear Algebra, this module introduces the concepts of vector spaces and linear maps. In particular, matrices are revisited as the representation of a linear map. In the notion of a subspace, the fundamental concept of a basis for a subspace and the definition of dimension will be introduced. We furthermore introduce the concept of eigenvalues and eigenvectors and methods to tackle systems of differential equations. We conclude this module by discussing the behaviour of dynamical systems.|