Bachelor of Engineering (BEng)

BEng Mechatronic Engineering

Explore the world of robotics and automation through the dynamic study of mechatronics.

  • Duration: 3 years
  • Year of entry: 2025
  • UCAS course code: HH36 / Institution code: M20
  • Key features:
  • Scholarships available
  • Accredited course

Full entry requirementsHow to apply

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 visit our undergraduate student finance pages and our Department funding pages .

Course unit details:
Mathematics 1E2

Course unit fact file
Unit code MATH19682
Credit rating 10
Unit level Level 1
Teaching period(s) Semester 2
Available as a free choice unit? No

Aims

The course unit aims to provide a second semester course in calculus and algebra to students in school of Electrical and Electronic Engineering and the school of Chemistry.

Learning outcomes

On completion of this unit successful students will be able to:

1- compute the mean and root mean square (rms) values of a given signal on a given interval.

2- compute the area under a curve given in Cartesian or Polar coordinates, compute the length of a curve described in Cartesian or polar cordinates either explicitly or parametrically, compute the surface area and volume of bodies of revolution described in Cartesian cordinates.

3- calculate the limit of a sequence and evaluate partial sums of arithmetic and geometric sequences.

4- write down the series and (generalised) power series associated to a given sequence, determine if a geometric series is divergent or convergent.

5- calculate the Taylor Polynomial of a given order and the Taylor Series of a given function of one or two variables around a given point as well as state and use Taylor's theorem.

6- calculate partial derivatives of a given function of more than one variables and use it to compute the gradient and the directional derivative of such function, use the chain rule to pass from one coordinate system to another, calculate the total differential of such functions and apply it to error prediction.

7- compute scalar or vectorial line integrals in 2 or 3 dimensions, compute plane surface integrals of a given function of two cartesian coordinates over domains of type I or II.

8- determine the location and the type (minimum, maximum, saddle) of the stationary points of a given function of two variables  

9- determine the order of a given ODE, solve constant coefficient first or second order linear ODEs, write the general solution in terms of the homogeneous solution and a particular integral when the non-homogeneous part of the ODE is of exponential, polynomial or trigonometric form (or a combination of those) and apply given conditions to determine the particular solution. For cases when the coefficients are not constant apply appropriate techniques e.g. integrating factor for first order ODEs.

10- determine physical behaviour of solutions of ODEs arising from a RLC circuit or anothe modelled situation, e.g. time constant,large time behaviour and resonance frequency.

Syllabus

4 lectures: Integration : Working definition of the integral. Fundamental theorem of calculus Physical interpretation. Definite integrals and areas under curves. Revision of integration techniques (polynomials etc). Integration by parts, by substitution and by partial fractions. (partial fractions themselves part of followup). Applications of integration. (this topic follows on from the 3 lectures from 1E1). 
   
2 lectures : Series : Simple Series : convergence of geometric series : Maclaurin and Taylor Series 
 
8 lectures : Multivariate Calculus : Functions of two or more variables. Partial Differentiation. Gradient. Chain Rule. Multiple integration and line integration. Taylor Series in two variables. Maxima and minima in two dimensions.
    
8 lectures: Ordinary Differential Equations : Concept, order and role of conditions. 1st order linear equations with constant coefficients (Emphasizing a complementary function / particular integral approach but making mention of integrating factors. Natural and Forced response (including the case of resonance). 2nd order linear equations with constant coefficients, characteristic polynomials. Mathematical and physical interpretation of solutions (time-constant etc).
 

Assessment methods

Method Weight
Other 20%
Written exam 80%

Coursework 1 (week 4) Weighting within unit 5%. Computerised exercise.

Coursework 2 (week 6-7) Weighting within unit 5%. Computerised exercise.

Coursework 3 (week 9) Weighting within unit 5%. Computerised exercise.

Coursework 4 (week 11-12) Weighting within unit 5%. Computerised exercise.

Semester 2 examination Weighting within unit 80%
 

Recommended reading

KA Stroud, Engineering Mathematics, Palgrave

Croft et al., Introduction to Engineering Mathematics, Pearson

Study hours

Scheduled activity hours
Lectures 24
Tutorials 11
Independent study hours
Independent study 65

Teaching staff

Staff member Role
Sergei Fedotov Unit coordinator
John Gray 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

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