Unit name | Linear Algebra |
---|---|
Unit code | MATH10015 |
Credit points | 20 |
Level of study | C/4 |
Teaching block(s) |
Teaching Block 4 (weeks 1-24) |
Unit director | Dr. Mackay |
Open unit status | Not open |
Pre-requisites |
A in A Level Mathematics or equivalent |
Co-requisites |
None |
School/department | School of Mathematics |
Faculty | Faculty of Science |
Unit Aims
Linear Algebra constitutes the bedrock of higher mathematics. It is indispensable and used in one form or another throughout every mathematical discipline.
This unit aims to lay down foundational concepts for studying maths at the undergraduate level and enable students to develop clear mathematical thinking.
Unit Description
Linear Algebra begins with the Euclidean plane, complex numbers and n-dimensional Euclidean space, which leads to the ideas of vectors and matrices, which also arise naturally from the study of systems of linear equations. These objects behave linearly, and this helps us understand their properties. In the second half of the course we develop the abstract notion of a vector space. This is one of the basic structures of pure mathematics; yet the methods of the course are also fundamental for applied mathematics and statistics.
This course carefully defines the objects and ideas we work with, and rigorously demonstrates their properties, as well as teaching the tools required for practical computation of examples.
At the end of the unit, the students should:
Lectures, supported by lecture notes with problem sets and model solutions, problems classes and small group tutorials.
Formative assessment:
Summative assessment:
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