Course Code:

PGP 1202

Course Credit Units:

3

Semester:

Semester 1

Year of Study:

Year 2

Undergraduate or Graduate Level:

Undergraduate Level

Academic Programs:

College:

School:

Department:

Course Discipline:

Course Description & Objectives:

The course introduces students to vectors, vector spaces, linear transformations and systems of linear equations. Using systems of linear equations, the course explores mathematical properties of a vector space such as linear independence, bases and dimension. Linear transformations are studied as relationships between vector spaces leading to the rank-nullity theorem. The course also introduces students to eigenspaces and diagonalisation.

Learning Outcomes:

By the end of the course, students should be able to:

- demonstrate basic competence in the concepts, principles, procedures and
- apply vector space methods.
- define and work with vector spaces.
- solve linear systems and work with matrices.
- demonstrate knowledge of linear transformations and their properties.