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MAT-10073 - Module Specification
School of Computer Science and Mathematics
Faculty of Natural Sciences

For academic year: 2025/26 Last Updated: 04 December 2025

MAT-10073 - Linear algebra
Coordinator: Christian Bean
Lecture Time: See Timetable...
Level: Level 4
Credits: 15
Study Hours: 150
School Office: 01782 733075

Programme/Approved Electives for 2025/26

None

Available as a Free Standing Elective

No

Co-requisites

None

Prerequisites

None

Barred Combinations

None


Description for 2025/26

This module continues from "Sets, functions, and proofs" and provides an introduction to complex numbers and linear algebra. Topics will include complex numbers, matrix algebra, linear transformation, elementary row operations, solving systems of linear equations, determinants, eigenvalues and eigenvectors, diagonalisation of matrices, three dimensional vector algebra and geometry, lines and planes, general vector algebra, linear independence and bases.

Aims
The aim of this module is to build on the techniques developed in "Sets, functions, and proofs", and to introduce students to linear algebra and its applications.

Intended Learning Outcomes

state key definitions, properties, and theorems related to complex numbers, systems of linear equations, three dimensional vector geometry and matrices: 1,3
analyse and critique mathematical arguments involving complex numbers, systems of linear equations, three dimensional vector geometry and matrices: 1,3
solve problems about complex numbers, systems of linear equations, three dimensional vector geometry and matrices and communicate solutions accurately and reliably with structured and coherent arguments: 2,3
prove basic theorems concerning complex numbers, systems of linear equations, three dimensional vector geometry and matrices: 2,3

Study hours

36 hours of lectures
12 hours Examples Classes
20 hours of assessment preparation
80 hours private study
2 hour examination

School Rules

None

Description of Module Assessment

1: Class Test weighted 20%
Class test - multiple choice
A multiple choice 40-minute class test. This consists of a set of questions with 4 possible solutions. Students will be graded for identifying the correct solutions, and also for giving reasoning why the other three are not correct.

2: Assignment weighted 20%
Written assignment
A written assignment. This consists of a set of questions with pre-allocated space for written solutions. Students should expect to spend 10 hours on this coursework.

3: Exam weighted 60%
Final examination
Unseen, two-hour end of semester examination with around 8 questions.

The University undertakes a continuous review of its teaching and research provision to ensure programmes are of a high quality and changes may be made to modules where it is necessary and reasonable to do so. Please be aware that minor changes to modules, such as a change to an individual assessment, can occur up until enrolment, although we endeavour to give you as much notice as possible of any changes. Details about the circumstance in which changes are made to programmes can be found in the Student Agreement, available at: https://www.keele.ac.uk/legalgovernancecompliance/governance/actcharterstatutesordinancesandregulations/studenttermsconditions/

Last Updated: 04 December 2025