Bachelor of Science (BSc)

BSc Materials Science and Engineering

Material scientists tackle some of the planet's greatest challenges and help shape the future of our world.

  • Duration: 3 years
  • Year of entry: 2025
  • UCAS course code: J500 / 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 £38,000 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 the Department funding pages.

Course unit details:
Mathematics 1G1

Course unit fact file
Unit code MATH19731
Credit rating 10
Unit level Level 1
Teaching period(s) Semester 1
Available as a free choice unit? No

Pre/co-requisites

Unit title Unit code Requirement type Description
Mathematics 1G2 MATH19732 Co-Requisite Compulsory

Aims

To Introduce the mathematical tools for symbolic and numerical manipulation and analysis required to study materials science at an undergraduate level.

Learning outcomes

Knowledge and understanding:

  • Solve straightforward problems involving, functionselementary differentiation, integration and partial differentiation. 
  • Recognise how precision and uncertainty is represented.

 

Intellectual Skills :

  • Show improved logical reasoning, problem solving and ability in applied mathematics. 
  • Calculate numerical answers to mathematical problems covered in lectures and tutorials.
  • Carry out symbolic manipulations involving polynomials, exponentials, and logarithms. Integrate and differentiate functions that are common to materials science. 
  • Quantify the uncertainty of a value after mathematical manipulation.

Practical Skills:

  • Express quantities using scientific and engineering notation, and interconvert between the two.
  • Plot data graphically using histograms, scatter plots and line plots.
  • Carry out ‘back of the envelope’/order-of-magnitude estimations mentally or on paper.

Transferable Skills and Personal Qualities:

  • Apply the mathematical techniques covered in this unit to concurrent and subsequent materials science units.
  • Convert between units.
  • Work effectively in a group to solve problems.

Syllabus

This unit covers the topics in applied mathematics required to provide the necessary tools to study materials science at an undergraduate level.

The lectures cover:

  • Elementary functions:  linear functions, powers, polynomials, fractions, exponentials,  logarithms,
  • Basic differential calculus:  differentials and derivatives, main properties, differentiation of  elementary functions. Chain, Product and Quotient Rules. Differentiation of functions of many variables, partial derivatives (6).
  • Integral calculus:  definite and indefinite integrals, relation with differentiation, tables of  integrals, methods of integration. Error function (6).
  • Application of differential calculus to functions: Taylor formula, approximate calculations, maxima / minima (4).

The tutorials cover typical mathematical problems faced in materials science and revolve around students attempting work in advance.

Teaching and learning methods

Lectures, example classes, recommended textbooks, web resources, past exam papers, electronic supporting information (Blackboard), electronic assessment (STACK), peer-assisted study sessions (PASS)

Assessment methods

Method Weight
Other 30%
Written exam 70%

Coursework

Diagnostic Follow-up test 6%

Three online computerized tests 3% each

In-class test in week 10 15%

Final exam

Exam 70%

Recommended reading

“Mathematical techniques: An introduction for the engineering, physical and mathematical sciences” D.W. Jordan and P. Smith, 1997, 2ed, Oxford University Press: Oxford.

 “Engineering mathematics” K.A. Stroud and D.J. Booth, 2007, 6th ed, Palgrave Macmillan: Basingstoke.

 “Calculus made easy” S.P. Thompson, 1914, 2ed, MacMillan and Co.: London. (Available free at http://www.gutenberg.org/ebooks/33283)

HELM (Helping Engineers Learn Mathematics), available at http://www.maths.manchester.ac.uk/study/undergraduate/information-for-current-students/service-teaching/helm/

Study hours

Scheduled activity hours
Lectures 22
Tutorials 11
Independent study hours
Independent study 67

Teaching staff

Staff member Role
Gabor Megyesi 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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