Bachelor of Science / Master of Physics (BSc/MPhys)

BSc/MPhys Physics with an Integrated Foundation Year

Maximise your achievement and fully prepare for degree-level study in your chosen course.

  • Duration: 1 (as part of 4/5 yr integrated degree programme)
  • Year of entry: 2025
  • UCAS course code: F009 / Institution code: M20
  • Key features:
  • Scholarships available

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 £25,000 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 Foundation Year Bursary  is available to UK students who are registered on an undergraduate foundation year here and who has had a full financial assessment carried out by Student Finance.

Details of country-specific funding available to international students can be found within our  International country profiles .

The University of Manchester is committed to attracting and supporting the very best students. We have a focus on nurturing talent and ability, therefore, we want to make sure that you have the opportunity to study here, regardless of your financial circumstances.

For information about scholarships please visit our  undergraduate student finance pages  and the Department funding pages that you intend to progress to after successfully completing the Foundation Year.

Course unit details:
Mathematics 0N1

Course unit fact file
Unit code MATH19861
Credit rating 10
Unit level Level 1
Teaching period(s) Semester 1
Available as a free choice unit? No

Aims

The course unit aims to provide a basic course in pure mathematical topics for members of the foundation year.

Learning outcomes

Knowledge and understanding: Be familiar with inequalities and with sets and logic.

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 department or in subsequent years.

Syllabus

13 lectures: Sets. Definition, subsets, simple examples, union, intersection and complement. De Morgan's Laws. Elementary Logic; universal and existential quantifiers. Proof by contradiction and by induction.

7 lectures : Inequalities. Methods of proof for inequalities. Solution of inequalities containing unknown variables. Linear inequalities with one or two variables, systems of liner inequalities with two variables. Some simple problems of linear optimisation. Quadratic inequalities with one variable.

Assessment methods

Method Weight
Other 30%
Written exam 70%

Continuous Assessment from Tutorials - 10 short multiple choice tests at the end of every tutorial class in Weeks 3-12. 9 best results are used to make 30% of the total mark for the course.

Examination. Weighting within unit 70%
 

Recommended reading

LIPSCHUTZ, S., 1998. Schaum's outline of theory and problems of set theory and related topics (2nd ed). McGraw-Hill, London. (ISBN0070381593)

FRANKLIN, J. & DAOUD, A., Proof in Mathematics: An Introduction, Kew Books (Jan 2011)

STEEGE, R. & BAILEY, K., 2010. Schaum's Outline of Intermediate Algebra. McGraw Hill Professional: New York (ISBN9780071629980)

Study hours

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

Teaching staff

Staff member Role
David Stewart 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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