- UCAS course code
- H3N1
- UCAS institution code
- M20
Bachelor of Engineering (BEng)
BEng Mechanical Engineering with Management
Gain invaluable and practical skills from the one of the most targeted universities by top graduate employers (THE Graduate Market 2024).
Duration: 3 years
Year of entry: 2025
UCAS course code: H3N1 / 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
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