Undergraduate: Level 5
Thursday 08 October 2020
Friday 18 December 2020
15 July 2020
Requisites for this module
MA204, MA225, MA301, MA316, MA323
BSC 5B43 Statistics (Including Year Abroad),
BSC 9K12 Statistics,
BSC 9K13 Statistics (Including Placement Year),
BSC 9K18 Statistics (Including Foundation Year),
BSC G1G4 Mathematics with Computing (Including Year Abroad),
BSC G1G8 Mathematics with Computing (Including Foundation Year),
BSC G1GK Mathematics with Computing,
BSC G1IK Mathematics with Computing (Including Placement Year),
BSC G1F3 Mathematics with Physics,
BSC G1F4 Mathematics with Physics (Including Placement Year),
BSC GCF3 Mathematics with Physics (Including Year Abroad)
Linear algebra is the branch of abstract algebra studying vectors, vector spaces and maps between them. It provides many useful tools which can be applied throughout mathematics, science, engineering and economics. Linear algebra is so powerful that systems which are linear, or can be approximated as linear, are almost always the easiest to understand and solve. This module introduces the basic definitions and results of the area
This module aims to introduce the abstract concepts of vector spaces and linear maps, and show that familiar properties of matrices are special cases of more general results. Fundamental concepts such as basis, dimension, subspace and rank will be introduced and made rigorous.
On completion of the module students should be able to:
- Read and understand advanced abstract mathematical definitions in textbooks and other sources
- Prove simple properties of linear spaces from axioms
- Check whether a set of vectors is a basis
- Check whether a mapping is a linear mapping
- Check whether a linear mapping is onto and whether it is one-to-one
- Find a matrix of a linear mapping
- Change a basis and recalculate the coordinates of vectors and the matrices of mappings
* Abstract definition and examples of vector spaces
* Subspaces, spans and related results
* Linearly dependent and linearly independent sets and related results
* Bases, dimension and related results
* Linear mappings, the image and the kernel, and related results
* Coordinates of vectors, matrices of linear mappings, change of basis
* The concept of the rank of a matrix and of a linear mapping
Teaching will be delivered in a way that blends face-to-face classes, for those students that can be present on campus, with a range of online lectures, teaching, learning and collaborative support.
This module does not appear to have any essential texts. To see non-essential items, please refer to the module's reading list.
Assessment items, weightings and deadlines
|Coursework / exam
||120 minutes during Summer (Main Period) (Main)
Module supervisor and teaching staff
Dr Alastair Litterick, email: firstname.lastname@example.org.
Dr Alastair Litterick & Dr Jesus Martinez--Garcia
Dr Alastair Litterick (email@example.com), Dr Jesus Martinez-Garcia (firstname.lastname@example.org)
Dr Tania Clare Dunning
The University of Kent
Reader in Applied Mathematics
Available via Moodle
Of 1265 hours, 0 (0%) hours available to students:
1265 hours not recorded due to service coverage or fault;
0 hours not recorded due to opt-out by lecturer(s).
Disclaimer: The University makes every effort to ensure that this information on its Module Directory is accurate and up-to-date. Exceptionally it can
be necessary to make changes, for example to programmes, modules, facilities or fees. Examples of such reasons might include a change of law or regulatory requirements,
industrial action, lack of demand, departure of key personnel, change in government policy, or withdrawal/reduction of funding. Changes to modules may for example consist
of variations to the content and method of delivery or assessment of modules and other services, to discontinue modules and other services and to merge or combine modules.
The University will endeavour to keep such changes to a minimum, and will also keep students informed appropriately by updating our programme specifications and module directory.
The full Procedures, Rules and Regulations of the University governing how it operates are set out in the Charter, Statutes and Ordinances and in the University Regulations, Policy and Procedures.