Not available in 2020/21
MA222      Half Unit
Further Mathematical Methods (Linear Algebra)

This information is for the 2020/21 session.

Teacher responsible

Dr James Ward

Availability

This course is compulsory on the BSc in Data Science. This course is available as an outside option to students on other programmes where regulations permit. This course is available with permission to General Course students.

Pre-requisites

Students should ideally have taken the course Mathematical Methods (MA100) or equivalent, entailing intermediate-level knowledge of linear algebra, linear independence, eigenvalues and diagonalisation.

Course content

This course develops ideas first presented in MA100. It consists of the linear algebra part of MA212, covering the following topics: Vector spaces and dimension. Linear transformations, kernel and image. Real inner products. Orthogonal matrices, and the transformations they represent. Complex matrices, diagonalisation, special types of matrix and their properties. Jordan normal form, with applications to the solutions of differential and difference equations. Singular values, and the singular values decomposition. Direct sums, orthogonal projections, least square approximations, Fourier series. Right and left inverses and generalized inverses.

Teaching

20 hours of lectures, 10 hours of classes and 10 hours of workshops in the LT. 1 hour of lectures in the ST.

Formative coursework

Students will be expected to produce 10 problem sets in the LT.

Written answers to set problems will be expected on a weekly basis.

Indicative reading

The following is a useful background text: 

Assessment

Exam (100%, duration: 1 hour and 30 minutes) in the summer exam period.

Key facts

Department: Mathematics

Total students 2019/20: Unavailable

Average class size 2019/20: Unavailable

Capped 2019/20: No

Value: Half Unit

Guidelines for interpreting course guide information

Personal development skills

Important information in response to COVID-19

Please note that during 2020/21 academic year some variation to teaching and learning activities may be required to respond to changes in public health advice and/or to account for the situation of students in attendance on campus and those studying online during the early part of the academic year. For assessment, this may involve changes to mode of delivery and/or the format or weighting of assessments. Changes will only be made if required and students will be notified about any changes to teaching or assessment plans at the earliest opportunity.