BSc Mathematics and Philosophy / Course details

Year of entry: 2022

Course description

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.


  • 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.

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 PHIL20142 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.


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: