The course begins with the concrete and computational subject of systems of linear equations and gradually exposes the students to the more abstract notions of matrices and vector space. Emphasis is put on computations and applications. The nature of the course requires that concepts introduced in one lecture be used in subsequent lectures. Thus it is imperative that students always be up-to-date. To emphasize this point, there mayl be a 3-minute quiz at the beginning of some lectures and/or occasional collection of homework.. Therefore, students should come on time and students who must be absent should familiarize themselves with the material they missed before coming to the next lecture.