- UCAS course code
- H300
- UCAS institution code
- M20
Bachelor of Engineering (BEng)
BEng Mechanical Engineering
From fast cars to food production, mechanical engineers are one of the most in-demand professions in the modern world.
Duration: 3 years
Year of entry: 2025
UCAS course code: H300 / Institution code: M20
- Key features:
Scholarships available
- Typical A-level offer: A*A*A including specific subjects
- Typical contextual A-level offer: A*AA including specific subjects
- Refugee/care-experienced offer: AAA including specific subjects
- Typical International Baccalaureate offer: 38 points overall with 7,7,6 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 £34,000 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).
Scholarships/sponsorships
The University of Manchester is committed to attracting and supporting the very best students. We have a focus on nurturing talent and ability and we want to make sure that you have the opportunity to study here, regardless of your financial circumstances.
For information about scholarships and bursaries please see our undergraduate fees pages and check the Department's funding pages .
Course unit details:
Mathematics 1M2
| Unit code | MATH19662 |
|---|---|
| Credit rating | 10 |
| Unit level | Level 1 |
| Teaching period(s) | Semester 2 |
| Available as a free choice unit? | No |
Aims
To provide a second-semester course in calculus and algebra to students with A-level mathematics or equivalent.
Learning outcomes
Knowledge and understanding: Be familiar with second order ordinary differential equations, partial differentiation, series and limits, partial differential equations and matrices.
Intellectual skills: Be able to carry out routine operations involving the topics in the syllabus.
Transferable skills and personal qualities: Have a set of tools and methods that can be applied in the courses given in the host school or in subsequent years.
Syllabus
5 Lectures: Second-order Ordinary Differential Equations. Linear Equations with constant coefficients; homogeneous and non-homogeneous cases; complementary functions and particular integrals, Special cases with non-constant coefficients.
3 Lectures: Partial Differentiation. Chain rule for partial differentiation. Total derivatives. Theory of errors. Coordinate Systems (Cartesian, Cylindrical, Spherical), change of variables.
3 Lectures: Series and Limits. Definition of Limits. L'Hopital's Rule. Sequences and Series; convergence; Power Series, Taylor and Maclaurin Series.
3 Lectures: Functions of Two Variables. Maxima, minima and saddle points. Taylor Series in Two variables.
3 Lectures: Second-order partial differential equations (wave, heat/diffusion, Laplace/Poisson. Solution by separation of variables.
4 Lectures: Matrices and Determinants: Definition of an m x n matrix. Matrix addition, subtraction, multiplication by a scalar, matrix multiplication; square matrices, determinants and properties; Solution of equations; inverse matrices.
3 Lectures: LinearAlgebra: LU Decomposition; solution of simultaneous equations; Gaussian Elimination; Cholesky's method.
Assessment methods
| Method | Weight |
|---|---|
| Other | 20% |
| Written exam | 80% |
Coursework 1 (week 5); Weighting within unit 10%
Coursework 2 (week 10); Weighting within unit 10%
End of semester 2 examination; Weighting within unit 80%
Recommended reading
KA Stroud, Engineering Mathematics, Palgrave
E Kreyszig, Advanced Engineering Mathematics, Wiley
A Croft and R Davison, Mathematics for Engineers, Prentice Hall
HELM (Helping Engineers Learn Mathematics)
Study hours
| Scheduled activity hours | |
|---|---|
| Lectures | 24 |
| Tutorials | 11 |
| Independent study hours | |
|---|---|
| Independent study | 65 |
Teaching staff
| Staff member | Role |
|---|---|
| Colin Steele | Unit coordinator |
Additional notes
This course unit detail provides the framework for delivery in 20/21 and may be subject to change due to any additional Covid-19 impact.
Please see Blackboard / course unit related emails for any further updates