Course Code:

MTH 1102

Course Credit Units:

3

Semester:

Semester 1

Year of Study:

Year 1

Undergraduate or Graduate Level:

Undergraduate Level

Academic Programs:

School:

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 eigen spaces and diagonalisation.

Learning Outcomes:

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

- define vector spaces
- solve linear systems
- compute eigenvalues, eigenvectors of matrices and diagonalizable matrices
- state and prove the rank-nullity theorem.