BSc Mathematics and Philosophy

Year of entry: 2022

Overview

Degree awarded
BSc (Honours)
Duration
3 years
Typical A-level offer
Grades A*AA with an A* in Mathematics.

A-level Further Maths is preferred but not essential.

Typical contextual A-level offer
We make contextual data offers to students who are eligible

This is likely to be A* (Maths) AB (if Further Maths is taken a grade A would be required).

Find out more about contextual admissions.
Refugee/care-experienced offer
Applicants who have been in local authority care for more than three months or have refugee status may be eligible for an offer two grades below the standard requirements.
Find out more about contextual admissions.
Typical International Baccalaureate offer

37 points overall with 19 points at Higher Level with 7 in Maths and 6 & 6 in two further Higher Level subjects. We will only accept Higher Level Maths Analysis and Approaches.

Changes to International Baccalaureate Diploma Mathematics Courses from September 2019, first examination 2021. We are aware of the planned changes to the IB Mathematics curriculum. IB students will be able to choose from: Mathematics: analysis and approaches and Mathematics: applications and interpretation from September 2019.

For this programme of study we will accept: Higher Level Mathematics: Analysis and Approaches only.

Full entry requirements

Number of places/applicants
No data available.
How to apply
Apply through UCAS .
Apply through UCAS
UCAS course code
GV15
UCAS institution code
M20

Course overview

  • Join us as a mathematics undergraduate, and you can tailor your learning with a flexible degree programme offering a wide range of options.
  • You will study at one of the most respected departments of mathematics in the country, with a rich heritage and a clear focus on the future.
  • You will join a close-knit maths community and learn in a friendly, sociable environment with a focus on small-group teaching.
  • You will benefit from our excellent links with employers, including an annual maths-specific careers fair and an employer interview programme.

Open days

The University holds undergraduate open days regularly where you have the opportunity to find out more about our courses, the support we offer and see our facilities. Attending an open day is a great way to find out what studying at Manchester is like. Find out about our upcoming open days .

You can view the recent undergraduate virtual open week recorded sessions here .

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

Contact details

Department
Department of Mathematics
Contact name
Undergraduate Admissions
Telephone
+44 (0)161 543 4019
Email
Website
https://www.maths.manchester.ac.uk
School/Faculty overview

Our internationally-renowned expertise across the School of Natural Sciences informs research led teaching with strong collaboration across disciplines, unlocking new and exciting fields and translating science into reality.  Our multidisciplinary learning and research activities advance the boundaries of science for the wider benefit of society, inspiring students to promote positive change through educating future leaders in the true fundamentals of science. Find out more about Science and Engineering at Manchester .

Courses in related subject areas

Use the links below to view lists of courses in related subject areas.

Entry requirements

A-level

Grades  A*AA with the A* in Mathematics.

A-level Further Maths is preferred but not essential.

Duration of A-level study

If you either sat your examinations early or followed an accelerated curriculum and spent three years studying A-levels where the examinations were taken over two years, your application will be considered against the standard selection process of your chosen course.If you have studied an advanced curriculum where the examinations are spread over three years, consideration for an offer will be at the discretion of the admissions tutor.

AS-level

AS level results are not considered as part of the standard admissions process at The University of Manchester.

GCSE

For applicants holding newly reformed GCSEs in England we require:

  • 5    GCSES at Grade    A/7 or B/6     (both numeric and letter grade) including: 

  • Mathematics (usually a Grade 8)

  • English Language is required at GCSE level with a minimum Grade of  C  /  4.  GCSE English Literature will not be accepted in lieu of GCSE English Language.

  • Other applicants will be expected to demonstrate a broad general education and will be considered on a case by case basis.

Please note that if you hold English as a second language iGCSE qualification, we may also require you to offer one of  our acceptable equivalent English Language qualifications  or achieve a higher grade in your iGCSE than the one stated above. Please contact us for clarification.

International Baccalaureate

37 points overall with 19 points at Higher Level with 7 in Maths and 6 & 6 in two further Higher Level subjects. We will only accept Higher Level Maths Analysis and Approaches.

Changes to International Baccalaureate Diploma Mathematics Courses from September 2019, first examination 2021. We are aware of the planned changes to the IB Mathematics curriculum. IB students will be able to choose from: Mathematics: analysis and approaches and Mathematics: applications and interpretation from September 2019.

For this programme of study we will accept: Higher Level Mathematics: Analysis and Approaches only.

Other international entry requirements

We accept a range of qualifications from different countries. For these and general requirements including English language see Accepted entry qualifications from your country

Scottish requirements

We normally require grades AAABB in Scottish Highers.  In addition, Scottish Advanced Highers A (Maths) AA are normally required.

English Language not taken at Higher/Advanced Higher must have been achieved at SCQF level 5 (minimum National 5 grade C / Intermediate 2 grade C / Standard Grade Credit level grade 3).

If you require further clarification about the acceptability of this qualification please contact us.

Welsh Baccalaureate

The University welcomes and recognises the value of the Welsh Baccalaureate Advanced Diploma/Advanced Skills Challenge Certificate and usually requires two A Levels or equivalent to be included within this.

The minimum grade required will normally be the same as the lowest grade listed in the A Level entry requirements.

If you require further clarification about the acceptability of this qualification please contact us.

European Baccalaureate

The University of Manchester welcomes applicants with the European Baccalaureate. Acceptable on its own or in combination with other qualifications, applications from students studying for this qualification are welcome and all applicants will be considered on an individual basis.

We normally require: 85% overall and 85% Maths (5 periods). Advanced Maths should also be taken. If this is not possible, please contact us.

AQA Baccalaureate

The University recognises the benefits of the AQA Baccalaureate and the opportunities it provides for applicants to develop independent study and research skills.

In making offers, the University will focus on the three A Levels taken within the AQA Baccalaureate. Students need to check the standard A Level requirements for their chosen course.

The units of broader study, enrichment activities and the Extended Project are considered to be valuable elements of the AQA Baccalaureate and we would therefore strongly encourage students to draw upon these experiences within their personal statement.

Foundation year

The University recognises a number of foundation programmes as suitable for entry to this undergraduate programme:

Applicants completing the INTO Manchester in partnership with The University of Manchester international foundation programme in Business/Engineering, are required to achieve A* (Maths) & AA with B in EAP overall with B in writing and nothing below a C.

Applicants completing the NCUK International Foundation year in Business/Engineering are required to achieve A* (Maths) & AA with B in EAP overall with B in writing and nothing below a C.        

Applicants studying other Foundation programmes should contact us to check if their qualification is recognised for entry to this programme and for specific entry requirements.

Pearson BTEC qualifications

Pearson BTEC Level 3 National Extended Diploma

We consider the National Extended Diploma for entry provided it is in a subject relevant to the chosen course. Entry requirements are based on achievement of the full National Extended Diploma with grades DDD plus an A Level in Mathematics at grade A*. Pearson BTEC Level 3 National Diploma

We consider the National Diploma for entry provided it is in a subject relevant to the chosen course. Entry requirements are based on achievement of the full National Diploma with grades DD plus an A Level in Mathematics at grade A*.

Pearson BTEC Level 3 National Foundation Diploma

We consider the National Foundation Diploma for entry provided it is in a subject relevant to the chosen course. Entry requirements are based on achievement of the full National Foundation Diploma with grade D plus additional level 3 qualifications such as A Levels at A*(Maths) and A in another subject.

Pearson BTEC Level 3 National Extended Certificate

We consider the National Extended Certificate for entry provided it is in a subject relevant to the chosen course. Entry requirements are based on achievement of the full National Extended Certificate with grade D plus additional level 3 qualifications such as A Level grades at A*(Maths) and A in another subject.

The University of Manchester welcomes applications from students who have achieved legacy BTEC qualifications (pre-2016) such as the BTEC Extended Diploma, BTEC Diploma, BTEC Subsidiary Diploma, and BTEC Certificate. The grades required are likely to be the same or vary similar to the new BTEC qualifications (first teaching 2016, awarded 2018). Please contact the Academic Department for clarification.

Please contact us if you require further clarification about these qualifications.

OCR Cambridge Technical qualifications

Cambridge Level 3 Technical Extended Diploma (CTEC)

We consider the Cambridge Technical Extended Diploma for entry with grades DDD in combination with a grade A* in A level Mathematics.

Cambridge Technical Diploma

We consider the Cambridge Technical Diploma for entry with grades DD in combination with a grade A* in A level Mathematics.

Cambridge Technical Foundation Diploma

We consider the Cambridge Foundation Diploma for entry with grade DD plus a grade A* in A level Mathematics and another A level (not General Studies or Critical Thinking) at grade A.

Cambridge Level 3 Technical Extended Certificate (CTEC)

We consider the Cambridge Technical Extended Certificate for entry with grade D plus a grade A* in A level Mathematics and another A level (not General Studies or Critical Thinking) at grade A.

If you require further clarification about the acceptability of this qualification please contact the Department of Mathematics. 

Access to HE Diploma

We require a QAA-recognised Access to HE Diploma (a minimum of 60 credits overall with at least 45 at Level 3). The 45 credits at Level 3 to be at Distinction (to include seven specific Maths units). Applications are considered on an individual basis. For further information on the specific units required please contact the Department of Mathematics.

Cambridge Pre-U

We consider applicants offering Pre-U Principal Subjects, or a mix of Pre-U and A Level subjects, provided a minimum of three distinct subjects overall is taken.

A typical offer would be D2 (Mathematics) and D3 in two additional subjects.

Extended Project Qualification (EPQ)

The University recognises the benefits of the Extended Project Qualification (EPQ) and the opportunities it provides for applicants to develop independent study and research skills. Although the Extended Project will not be included in the conditions of your offer, we strongly encourage you to provide information about the EPQ in your personal statement and at interview. We may also choose to take your performance in the EPQ into account should places be available in August for applicants who narrowly miss the entry grades for their chosen course.

Core Maths

Core Maths is not accepted for entry onto our courses.

Home-schooled applicants

If you are a student who has followed a non-standard educational route, e.g. you have been educated at home; your application will be considered against the standard entry criteria of the course for which you are applying. You will be required to demonstrate that you meet the specified academic entry requirements of the course. We will also require a reference from somebody who knows you well enough, in an official capacity, to write about you and your suitability for higher education. If you are a home schooled student and would like further information or advice please contact us. 

Non-standard educational routes

Mature students are some of our most well-equipped learners, bringing skills and attributes gained from work, family and other life experiences.  Students come from a whole array of backgrounds, study every kind of course, undertake full-time and part-time learning and are motivated by career intentions as well as personal interest.  There is no such thing as a typical mature student at Manchester.  The application process is the same as for other prospective undergraduates.  If you require further clarification about the acceptability of the qualifications you hold please contact us.  Further information for mature students can be found here ( http://www.manchester.ac.uk/study/undergraduate/mature-students/ )

English language

All applicants to the University (from the UK and Overseas) are required to show evidence of English Language proficiency.  The minimum English Language requirement for this course is either:

  • GCSE English Language grade C or better , or 4 or better;
  • IELTS for all courses are to be: 6.5 overall with 6.0 in writing and nothing below 5.5 or; 
  • An acceptable equivalent qualification.

The UK Visas and Immigration (UKVI) requires that every student from outside the UK and the EU must show evidence of a minimum level of English Language in order to be granted a UK visa (Tier 4 visa) to study at undergraduate or postgraduate level. This level is often referred to as the 'B2 level'.

Additionally, our individual departments may ask for specific English Language proficiency levels that are necessary for their academic programmes. In most cases these requirements are likely to be higher than the B2 level. Further information about our English Language policy, including a list of some of the English Language qualifications we accept, can be found  here .  Please note that if you hold English as a second language IGCSE qualification, we may also require you to offer one of our acceptable equivalent English language qualifications or achieve a higher grade in your IGCSE than the one stated above.  Please contact us for clarification.  

English language test validity

Some English Language test results are only valid for two years. Your English Language test report must be valid on the start date of the course.

Application and selection

How to apply

Apply through UCAS .

Advice to applicants

Mitigating circumstances may be personal or family illness, other family circumstances, change of teachers during a course, problems with school facilities or an unusual curriculum followed by your school or college. We recommend that information on mitigating circumstances that have affected or are likely to affect your academic performance will be included in the referee's report. We cannot usually take into account information that is supplied after an adverse decision has been made on an application by the admitting department. If you encounter mitigating circumstances after you have submitted your application, please inform the admissions staff in the department to which you applied as soon as possible.

Where mitigating circumstances have already been taken into account, for example by the relevant Exam Board, we will not be able to make further allowances.

How your application is considered

Once your application has been received it will be considered, on merit, by School of Mathematics admissions staff. A number of factors are considered including your reference and whether you are likely to meet our entrance requirements.  In addition, we will look at your personal statement to see the nature and extent of your interest in Mathematics.  We are also keen to hear about your interests, hobbies, extra-curricular experiences, work experience and career aspirations and how these have prepared you for success on your chosen course.

We do not normally accept transfer of application between Departments. 

Interview requirements

Many of our applicants will be invited to attend a Virtual Visit Day which will give you a taste of life as a Mathematics student at Manchester.  There will be a short talk by the Admissions Tutor, a mini-Mathematics lecture, information about student support and a Question and Answer session.  The Q&A session will include current students and give you the opportunity to ask any questions you have about the Department or course.  Parents/guardians are encouraged to attend. 

Due to Covid-19 we are not interviewing applicants for this academic cycle.

Aptitude test requirement

Students who have met the appropriate entry requirements but whose qualifications are more than 2 years old may be asked to sit a Mathematics test.

Policy for applicants who resit their qualifications

If you have re-sat individual modules to improve your grades, we will consider your application according to the standard selection process. If you are planning to re-sit the final Year 13 examinations, or have already done so, the University will consider your application, but we may require further information in order to make an informed judgment on your application.

Re-applications

If you applied in the previous year and your application was not successful you may apply again. Your application will be considered against the standard course entry criteria for that year of entry.  In your new application you should demonstrate how your application has improved.  We may draw upon all information from your previous applications or any previous registrations at the University as a student when assessing your suitability for your chosen course.If you are applying for a place for the same year of entry through UCAS Extra, you should provide additional evidence of your suitability for the course. If you are applying through clearing you are required to meet the clearing requirements. In both UCAS Extra and clearing the places will be subject to availability.

Course details

Course description

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First Year BSc Mathematics with Scarlett and Hana

The BSc Mathematics and Philosophy offers a joint-honours degree programme, representing a close and fruitful connection which has existed since the time of the ancient Greeks.

The course explores both sides of the programme, together with the interesting border region between the two. Both disciplines are given equal weight, and each offers you a wide range of options.

In your final year you do a substantial Philosophy dissertation and can choose to do a project on a mathematical topic, supervised by a member of staff. 

The content of the programme is closely linked with that of the two individual single-honours degrees, and so transfer to either of these departments is possible at the end of the first year.

Aims

  • to enable students to acquire a knowledge and understanding of mathematical ideas, including the concepts of rigorous argument and formal proof, and an appreciation of the power and generality of abstract formulation and the analytic method;
  • to enable students to develop their capacity to learn and apply mathematical ideas and skills;
  • to promote an understanding of the significance and power of mathematics as an intellectual and applicable discipline;
  • to give students and knowledge and understanding of those mathematical topics which we believe that any employer would expect of our joint degree graduates;
  • to give students experience (more limited than for single honours Mathematics programmes) of advanced mathematical results, methods, ideas and thinking;
  • to give students a grounding in the significant topics, problems and issues in Philosophy today;
  • to provide an enhancement of the student¿s capacity to evaluate critically and think through and develop for themselves philosophical arguments and positions.

Special features

  • In your first year, you will experience small group teaching, which is a significant part of the year.
  • A wide range of options is available for you to choose in your third year.
  • Foundation Year available. You can prepare for the full degree course if you do not have the appropriate qualifications for direct entry by undertaking our  foundation course .

Teaching and learning

Most teaching takes the form of lectures, with various support classes (example classes, small group tutorials or sessions in one of the computer clusters) to help you get to grips with the material, exploring topics and working on examples set by the lecturers.

Coursework and assessment

Most course units have some continual assessment (which may be, for instance, a combination of homework, in-class tests, essays and presentations where appropriate), which is put together with the result of an end-of-semester examination to provide the final mark.

Some course units (such as a project) are assessed entirely by your submitted work during the semester. The class of your degree is normally based on only your last two years' work.

Course content for year 1

Course units for year 1

The course unit details given below are subject to change, and are the latest example of the curriculum available on this course of study.

TitleCodeCredit ratingMandatory/optional
Foundations of Pure Mathematics B MATH10111 15 Mandatory
Calculus and Vectors B MATH10131 15 Mandatory
Linear Algebra B MATH10212 15 Mandatory
Calculus and Applications B MATH10232 15 Mandatory
Critical Thinking PHIL10041 20 Mandatory
Introduction to Metaphysics and Epistemology PHIL10622 20 Mandatory
Introduction to Philosophy of Mind PHIL10632 20 Mandatory

Course content for year 2

Course units for year 2

The course unit details given below are subject to change, and are the latest example of the curriculum available on this course of study.

TitleCodeCredit ratingMandatory/optional
Managing My Future MATH20041 0 Mandatory
Real Analysis B MATH20111 10 Mandatory
Formal Logic PHIL20042 20 Mandatory
Probability 1 MATH10141 10 Optional
Metric Spaces MATH20122 10 Optional
Calculus of Several Variables MATH20132 10 Optional
Algebraic Structures 1 MATH20201 10 Optional
Algebraic Structures 2 MATH20212 10 Optional
Introduction to Geometry MATH20222 10 Optional
Partial Differential Equations and Vector Calculus B MATH20411 10 Optional
Discrete Mathematics MATH20902 10 Optional
Introduction to Financial Mathematics MATH20912 10 Optional
Philosophy of Religion PHIL20021 20 Optional
Ethics PHIL20232 20 Optional
20th Century Analytical Philosophy PHIL20242 20 Optional
Philosophy of Mind PHIL20271 20 Optional
Hegel and Marx PHIL23022 20 Optional
Displaying 10 of 17 course units for year 2

Course content for year 3

Course units for year 3

The course unit details given below are subject to change, and are the latest example of the curriculum available on this course of study.

TitleCodeCredit ratingMandatory/optional
Mathematics Education MATH30002 10 Optional
Fractal Geometry MATH31042 10 Optional
Topology MATH31052 10 Optional
Group Theory MATH32001 10 Optional
Commutative Algebra MATH32012 10 Optional
Coding Theory MATH32032 10 Optional
Hyperbolic Geometry MATH32051 10 Optional
Algebraic Geometry MATH32062 10 Optional
Number Theory MATH32072 10 Optional
Combinatorics and Graph Theory MATH32091 10 Optional
Mathematical Logic MATH33011 10 Optional
Complex Analysis&Applications MATH34011 20 Optional
Green's Functions, Integral Equations and Applications MATH34032 10 Optional
Viscous Fluid Flow MATH35001 10 Optional
Wave Motion MATH35012 10 Optional
Elasticity MATH35021 10 Optional
Mathematical Biology MATH35032 10 Optional
Symmetry in Geometry and Nature MATH35082 10 Optional
Matrix Analysis MATH36001 10 Optional
Numerical Analysis 2 MATH36022 10 Optional
Problem Solving by Computer MATH36031 10 Optional
Dissertation Semester 1 PHIL30001 20 Optional
Dissertation Semester 2 PHIL30002 20 Optional
Metaphysics PHIL30212 20 Optional
Language and Analysis PHIL30352 20 Optional
Philosophy of Psychology PHIL30361 20 Optional
Advanced Topics in Aesthetics PHIL30621 20 Optional
Philosophy of Mathematics PHIL30721 20 Optional
Displaying 10 of 28 course units for year 3

Scholarships and bursaries

The Department of Mathematics offers scholarships for academically excellent students from the UK and around the world; contact the department for more details.

Facilities

When you join the Department of Mathematics you will be based in the purpose-built Alan Turing Building, set at the heart of campus. Developed with input from staff and students alike, the impressive £40 million building has been designed to provide the perfect teaching and learning environment.

You will benefit from extensive facilities for computing and study, relaxation and refreshment - all in an attractive, light and comfortable setting. Our computer clusters offer the powerful mathematical and statistical software you would expect from a leading university, including Matlab and Mathematica.

The Department of Mathematics has a number of computer clusters that run the standard software as well as powerful mathematical and statistical software, such as Matlab, Minitab and Mathematica.  As a student, you will have free access to email and the internet.  Other larger clusters are available in the University libraries and clusters are situated in most Halls of Residence; most student rooms also have Ethernet connection. 

You will also have access to the John Rylands University Library of Manchester, one of the largest and best-equipped libraries in the UK. A special section of this library provides a short loan facility, where you can reliably obtain textbooks that are recommended for particular courses and borrow them on an overnight basis. The Department of Mathematics also houses a mathematical library of more advanced books and other material used mainly by research students and staff.

Disability support

Practical support and advice for current students and applicants is available from the Disability Advisory and Support Service. Email: dass@manchester.ac.uk

Careers

Career opportunities

As a graduate of the Department of Mathematics at the University of Manchester, you will have gained skills and knowledge which are of value in a wide variety of professions.

A Mathematics degree is a good preparation for any area of employment requiring people who can think clearly and logically. The main areas of employment are finance, industry, computing (including operational research), management, administration, statistics, teaching (schools and colleges) and postgraduate study in Mathematics and in Philosophy.

Many of our graduates have pursued careers in finance in firms including KPMG, Goldman Sachs, PricewaterhouseCoopers, Deloitte, Barclays and Deutsche Bank.

A substantial number of previous graduates have undertaken further programmes of study such as MSc in Mathematics, Philosophy, Linguistics,  Applied Mathematics, Finance, Business, Management and Computer Science.  Some have gone on to train as teachers.

The Department of Mathematics puts significant emphasis on careers and holds a number of events throughout the year. These include talks, workshops and networking sessions.

We also host the annual Calculating Careers Fair.  This takes place in early October each year and is attended by a large number of international graduate recruiters.  Previous attendees have included Amazon, Amec, Barclays, BP, BT, Credit Suisse, GCHQ, IBM, PricewaterhouseCoopers, RBS, Teach First and Deloitte.  This fair is a great opportunity for students to network with a number of graduate employers early in their academic careers.