- UCAS course code
- G101
- UCAS institution code
- M20
Bachelor of Science (BSc)
BSc Mathematics with Placement Year
- Typical A-level offer: A*AA including specific subjects
- Typical contextual A-level offer: A*AB including specific subjects
- Refugee/care-experienced offer: A*BB including specific subjects
- Typical International Baccalaureate offer: 37 points overall with 7,6,6 at HL, including specific requirements
Fees and funding
Fees
Tuition fees for home students commencing their studies in September 2025 will be £9,535 per annum (subject to Parliamentary approval). Tuition fees for international students will be £34,500 per annum. For general information please see the undergraduate finance pages.
Policy on additional costs
All students should normally be able to complete their programme of study without incurring additional study costs over and above the tuition fee for that programme. Any unavoidable additional compulsory costs totalling more than 1% of the annual home undergraduate fee per annum, regardless of whether the programme in question is undergraduate or postgraduate taught, will be made clear to you at the point of application. Further information can be found in the University's Policy on additional costs incurred by students on undergraduate and postgraduate taught programmes (PDF document, 91KB).
Course unit details:
Methods of Applied Mathematics
Unit code | MATH35041 |
---|---|
Credit rating | 20 |
Unit level | Level 3 |
Teaching period(s) | Semester 1 |
Available as a free choice unit? | No |
Overview
This course unit provides students with the methodology to study problems which arise in applied mathematics. Often, the analytical solution to such a problem involves approximation in terms of a small parameter. We consider asymptotic expansions, such that the error made is controlled.
Pre/co-requisites
Unit title | Unit code | Requirement type | Description |
---|---|---|---|
Mathematics of Waves and Fields | PHYS20171 | Pre-Requisite | Optional |
ODEs and Applications | MATH11422 | Pre-Requisite | Compulsory |
Introduction to Ordinary Differential Equations | MATH11412 | Pre-Requisite | Compulsory |
Partial Differential Equations & Vector Calculus | MATH24420 | Pre-Requisite | Compulsory |
PHYS20171 is an acceptable alternative for those Maths-Physics students who took that unit instead of MATH24420
Aims
This course unit introduces students to important topics in applied mathematics, developing their understanding of asymptotic methods and calculus of variations. The syllabus is motivated by physical applications of historical importance.
Learning outcomes
- Apply asymptotic methods to obtain perturbation expansions of algebraic equations.
- Compute asymptotic expansions of integrals containing a parameter.
- Calculate asymptotic solutions to ODEs containing a parameter, matching the inner and outer solutions as appropriate.
- Interpret variational problems and solve the corresponding Euler-Lagrange equations.
- Calculate solutions to standard variational problems (e.g. the brachistochrone, Fermat’s principle, geodesics, minimal surface, the isoperimetric problem, the hanging chain).
- Formulate equations of motion in classical mechanics from a Lagrangian, via Hamilton’s Principle and describe solutions to mechanical problems using the Euler-Lagrange equations and/or perturbation theory.
- Estimate eigenvalues via the Rayleigh-Ritz method and apply to physical problems.
Assessment methods
Method | Weight |
---|---|
Written exam | 80% |
Report | 20% |
Feedback methods
Individual feedback via marking comments, and cohort feedback document circulated.
Study hours
Scheduled activity hours | |
---|---|
Lectures | 33 |
Tutorials | 11 |
Independent study hours | |
---|---|
Independent study | 156 |
Teaching staff
Staff member | Role |
---|---|
Neil Morrison | Unit coordinator |
Paul Glendinning | Unit coordinator |