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2024/25 Undergraduate Programme Catalogue

BSc Mathematics and Philosophy

Programme code:BS-MATH&PHILUCAS code:GVC5
Duration:3 Years Method of Attendance: Full Time
Programme manager:Kal Kalewold Contact address:K.Kalewold@leeds.ac.uk

Total credits: 360

Entry requirements:

Entry Requirements are available on the Course Search entry

School/Unit responsible for the parenting of students and programme:

Philosophy, Religion and History of Science

Examination board through which the programme will be considered:

Relevant QAA Subject Benchmark Groups:

Philosophy
Mathematics

Programme specification:

The information on this page is accurate for students entering the programme in 2023/2024 or before. For students entering the programme from September 2024 or after, you can find the details of your programme:

BSc Mathematics and Philosophy(For students entering from September 2024 onwards)

This programme is full time and in person. It does not include any distance learning elements.
Your course
The programme provides for breadth and depth, and to enable you to build a personalised portfolio of knowledge and competencies in each discipline, according to your intellectual ambitions, needs, and interests.

At level 1, students will be exposed to core topics in each discipline through compulsory modules. In Maths you will learn about mathematical structures and techniques, from understanding the fundamentals of number systems through to being able to solve ordinary differential equations. In Philosophy, your core module focuses on how to analyse ideas and construct effective arguments. You will also study at least one core sub-field of philosophy and can choose from a selection of ‘taster’ modules, such as philosophy of religion, science or race. With Maths, you will choose whether to study statistics or mathematical analysis, to prepare you to select a specialised pathway from level 2. The four higher-level pathways are pure maths, applied maths, statistics plus pure maths, or statistics plus applied maths.

In Philosophy, level 2 of the programme is designed to provide the opportunity to acquire knowledge of and competence in a range of core topics so that, by final year, you can specialise in a disciplinary sub-field (such as normative philosophy, applied philosophy or theoretical philosophy). In addition, you will take a module on philosophical method designed specifically for joint honours students. This will further develop your philosophical skills alongside learning how the study of philosophy connects with and enhances the study of mathematics, which provides a preparation for a final year compulsory module in the Philosophy of Logic and Maths.

Students can undertake a final year project in either of the disciplines which will showcase the subject-specific skills you have developed over the previous two years.

The programme showcases the distinctive areas of research strength in Philosophy and Maths at Leeds. Modules at higher levels will offer the opportunity to engage with current research of academics in each of the Schools, especially at level 3.

At each level, you may study Discovery modules to expand your knowledge and/or skills beyond your programme of study, which provides a further opportunity to shape your study to your ambitions, interests and needs.

The programme has an international variant, which includes a study abroad year at Level 3, and an industrial variant, which includes a work placement year at Level 3.

Your future
A joint honours degree in Mathematics and Philosophy will equip you with varied subject knowledge as well as an impressively broad set of skills, all of which is attractive to employers.
You’ll be confident interpreting both quantitative and qualitative data, and have excellent analytical and problem-solving skills. You’ll also be comfortable working independently or in a team and have good research skills. Crucially, you’ll also be able to look at a situation from different points of view and communicate clearly, both verbally and in writing – and you’ll have developed good organisational skills through managing two very different subjects.

Our world
Throughout this degree, students will have the opportunity to engage with material that demonstrates how each of maths and philosophy is relevant to understanding and navigating contemporary issues and concerns. In doing so, they acquire a developed and informed understanding of their own stance on th ose issues, and an enhanced understanding of the world in which we live, which can be applied in many and varied professional and social contexts.


Year1 - View timetable

[Learning Outcomes, Transferable (Key) Skills, Assessment]

Compulsory modules:

Candidates must study 120 credits which may include up to 20 credits of Discovery modules.
Candidates must pass at least 100 credits, including any PFP modules and a minimum of 40 credits in Maths (MATH) and 40 credits in Philosophy (PHIL), to progress to the next year of the programme.

Candidates will be required to study the following compulsory modules: 

MATH1000Core Mathematics40 creditsSemesters 1 & 2 (Sep to Jun)
PHIL1260How To Do Philosophy20 creditsSemester 1 (Sep to Jan)

Optional modules:

Candidates must study ONE of the following optional Maths modules: 

MATH1110Real Analysis20 creditsSemesters 1 & 2 (Sep to Jun)
MATH1700Probability and Statistics20 creditsSemesters 1 & 2 (Sep to Jun)

Students who study MATH1110 can study only pathways 1a, 1b or 2 in year 2.
Students who study MATH1700 can study only pathways 2, 3 or 4 in year 2.

Candidates must study at least 20 credits from the following optional Philosophy modules: 

PHIL1080The Good, the Bad, the Right, the Wrong20 creditsSemester 2 (Jan to Jun)
PHIL1090Knowledge, Self and Reality20 creditsSemester 2 (Jan to Jun)

Candidates may study up to 20 credits from the following optional modules:

PHIL1007Introduction to the Philosophy of Religion10 creditsSemester 1 (Sep to Jan)
PHIL1015Thinking About Race10 creditsSemester 1 (Sep to Jan)
PHIL1022Philosophy Meets the World10 creditsSemester 2 (Jan to Jun)
PHIL1109How Science Works10 creditsSemester 2 (Jan to Jun)

Discovery modules:

Candidates may study up to 20 credits of discovery modules


Year2 - View timetable

[Learning Outcomes, Transferable (Key) Skills, Assessment]

Over levels 2 and 3 taken combined students must pass:

- Mathematics: a minimum of 110 credits (at least 60 credits must be at level 3)
- Philosophy: a minimum of 80 credits (at least 40 credits must be at level 3)
- Plus 30 credits in the named subjects, used to ensure that credits at the appropriate level for award are taken.
- Plus 20 credits of Discovery Modules or further modules in the named subjects.

In order to progress to year 3 of the Honours programme, students must pass at least 40 credits of LeveL 2 Maths. To be eligible for an honours degree, students must meet the normal Rules for Award by passing all modules designated to be passed for award/progression and by passing the required number of credits at each level as specified in the Curricular Regulations (at least 200 credits at level 2 or above, of which at least 100 should be at level 3). Students must pass at least 100 credits at Level 2 and all core modules to proceed to the next level of the programme.

Compulsory modules:

Students are required to study the following modules:

MATH2365Vector Calculus15 creditsSemester 1 (Sep to Jan)

Optional modules:

Student must take exactly one of the following two modules: (These are mutually exclusive)

MATH2022Groups and Vector Spaces15 creditsSemester 1 (Sep to Jan)
MATH2080Further Linear Algebra10 creditsSemester 1 (Sep to Jan)

Student must take and pass exactly one of the following two modules: (These are mutually exclusive)

MATH2041Logic
Pre-requisite for: PHIL3123
10 creditsSemester 1 (Sep to Jan)
PHIL2635Universal Science: Topics in Formal Logic20 creditsSemester 1 (Sep to Jan)

Students must take additional modules from the following list of Mathematics options for an overall total of at least 50 credits of Maths modules (including those chosen from the option blocks above):

MATH2017Real Analysis15 creditsSemester 2 (Jan to Jun)
MATH2026Rings, Fields and Polynomials10 creditsNot running in 202425
MATH2042Logic with Computation
Pre-requisite for: PHIL3123
15 creditsNot running in 202425
MATH2051Geometry of Curves and Surfaces10 creditsSemester 1 (Sep to Jan)
MATH2230Discrete Mathematics10 creditsSemester 2 (Jan to Jun)
MATH2231Discrete Mathematics with Computation15 creditsSemester 2 (Jan to Jun)
MATH2340The Mathematics of Music10 creditsSemester 1 (Sep to Jan)
MATH2375Linear Differential Equations and Transforms15 creditsSemester 2 (Jan to Jun)
MATH2391Nonlinear Differential Equations10 creditsSemester 2 (Jan to Jun)
MATH2535Financial Mathematics: Risk10 creditsSemester 1 (Sep to Jan)
MATH2545Financial Mathematics: Markets10 creditsSemester 2 (Jan to Jun)
MATH2600Numerical Analysis10 creditsSemester 2 (Jan to Jun)
MATH2601Numerical Analysis with Computation15 creditsSemester 2 (Jan to Jun)
MATH2625Fluid Dynamics15 creditsSemester 2 (Jan to Jun)
MATH2640Introduction to Optimisation10 creditsSemester 1 (Sep to Jan)
MATH2650Calculus of Variations10 creditsSemester 2 (Jan to Jun)
MATH2715Statistical Methods10 creditsSemester 1 (Sep to Jan)
MATH2735Statistical Modelling10 creditsNot running in 202425
MATH2740Environmental Statistics10 creditsNot running in 202425
MATH2750Introduction to Markov Processes10 creditsSemester 2 (Jan to Jun)
MATH2775Survival Analysis10 creditsSemester 2 (Jan to Jun)
MATH2920Computational Mathematics10 creditsSemester 1 (Sep to Jan)

MATH2230 and MATH2231 are mutually exclusive. MATH2600 and MATH2601 are also mutually exclusive.

Optional Philosophy modules:

Candidates are required to study at least 40 credits from the following Philosophy optional modules:

PHIL2525Past Thinkers: History of Modern Philosophy20 creditsSemester 1 (Sep to Jan)
PHIL2605Why Trust Science? Topics in Philosophy of Science20 creditsSemester 2 (Jan to Jun)
PHIL2615How Do You Know? Topics in Epistemology20 creditsSemester 1 (Sep to Jan)
PHIL2631God, Thought and the World: Topics in Philosophy of Religion20 creditsSemester 2 (Jan to Jun)
PHIL2906Do the Right Thing: Topics in Moral Philosophy20 creditsSemester 1 (Sep to Jan)
PHIL2915How to Live Together: Topics in Political Philosophy20 creditsSemester 2 (Jan to Jun)
PHIL2925Reality Check: Topics in Metaphysics20 creditsSemester 2 (Jan to Jun)

Discovery modules:

Candidates may study up to 20 credits of discovery modules at Level 2 or may choose to study one of the following optional modules.

CSER2206Developing Your Professional Identity: Preparing for a Career in Within The Arts, Heritage and Creative Industries20 creditsSemester 2 (Jan to Jun)
FOAH2020Towards the Future: Skills in Context20 creditsSemesters 1 & 2 (Sep to Jun)


Year3 - View timetable

[Learning Outcomes, Transferable (Key) Skills, Assessment]

Over levels 2 and 3 taken combined students must pass:

- Mathematics: a minimum of 110 credits (at least 60 credits must be at level 3)
- Philosophy: a minimum of 80 credits (at least 40 credits must be at level 3)
- Plus 30 credits in the named subjects and used to ensure that credits at the appropriate level for award are taken.
- Plus 20 credits of Discovery Modules or further modules in the named subjects.

In order to be eligible for an honours degree, students must meet the normal Rules for Award by passing all modules which are designated to be passed for award or progression and by passing the required number of credits at each level as specified in the Curricular Regulations (at least 200 credits at level 2 or above, of which at least 100 should be at level 3). Students must pass at least 100 credits at Level 3 and all core modules to proceed to gain the degree.

Optional modules:

Students are normally required to take 60 credits in Mathematics. If desired, one 10 or 15 credit module may be chosen from those offered in year 2 (but not including the level 1 modules). At most, 15 credits of MATH modules may be at Level 2.

Candidates are required to study at least 20cr and no more than 60cr from the following modules:

MATH3001Project in Mathematics20 creditsSemesters 1 & 2 (Sep to Jun)
PRHS3000Independent Research Project in Philosophy, Religion or History of Science40 creditsSemesters 1 & 2 (Sep to Jun)
PRHS3001Integrated Research Project in Philosophy, Religion or History of Science40 creditsSemesters 1 & 2 (Sep to Jun)
PRHS3700External Placement: Beyond the University40 creditsSemesters 1 & 2 (Sep to Jun)

Candidates are required to select at least sufficient credits from the following modules to fulfil the programme requirements. Please check the Module Catalogue for pre-requisites and mutually exclusive modules. At most 15 credits of MATH modules may be at Level 2. EDUC3060, COMP3940 and COMP3910 count towards the credit requirements for Mathematics modules.

COMP3910Combinatorial Optimisation10 creditsSemester 2 (Jan to Jun)
COMP3940Graph Algorithms and Complexity Theory10 creditsSemester 1 (Sep to Jan)
EDUC3060Mathematics Education10 creditsSemester 2 (Jan to Jun), Semester 1 (Sep to Jan)
MATH2017Real Analysis15 creditsSemester 2 (Jan to Jun)
MATH2026Rings, Fields and Polynomials10 creditsNot running in 202425
MATH2051Geometry of Curves and Surfaces10 creditsSemester 1 (Sep to Jan)
MATH2230Discrete Mathematics10 creditsSemester 2 (Jan to Jun)
MATH2231Discrete Mathematics with Computation15 creditsSemester 2 (Jan to Jun)
MATH2340The Mathematics of Music10 creditsSemester 1 (Sep to Jan)
MATH2375Linear Differential Equations and Transforms15 creditsSemester 2 (Jan to Jun)
MATH2391Nonlinear Differential Equations10 creditsSemester 2 (Jan to Jun)
MATH2515Financial Mathematics 210 creditsNot running in 202425
MATH2525Financial Mathematics 310 creditsNot running in 202425
MATH2600Numerical Analysis10 creditsSemester 2 (Jan to Jun)
MATH2601Numerical Analysis with Computation15 creditsSemester 2 (Jan to Jun)
MATH2625Fluid Dynamics15 creditsSemester 2 (Jan to Jun)
MATH2640Introduction to Optimisation10 creditsSemester 1 (Sep to Jan)
MATH2650Calculus of Variations10 creditsSemester 2 (Jan to Jun)
MATH2715Statistical Methods10 creditsSemester 1 (Sep to Jan)
MATH2735Statistical Modelling10 creditsNot running in 202425
MATH2740Environmental Statistics10 creditsNot running in 202425
MATH2750Introduction to Markov Processes10 creditsSemester 2 (Jan to Jun)
MATH2775Survival Analysis10 creditsSemester 2 (Jan to Jun)
MATH2800Mathematics into Schools10 creditsSemesters 1 & 2 (Sep to Jun)
MATH2920Computational Mathematics10 creditsSemester 1 (Sep to Jan)
MATH3015History of Mathematics15 creditsSemester 1 (Sep to Jan)
MATH3021Philosophy of Logic and Mathematics20 creditsNot running in 202425
MATH3033Graph Theory15 creditsSemester 1 (Sep to Jan)
MATH3044Number Theory15 creditsSemester 2 (Jan to Jun)
MATH3071Groups and Symmetry15 creditsSemester 1 (Sep to Jan)
MATH3104Proof and Computation15 creditsSemester 2 (Jan to Jun)
MATH3113Differential Geometry15 creditsSemester 2 (Jan to Jun)
MATH3120Models and Sets15 creditsSemester 1 (Sep to Jan)
MATH3143Combinatorics15 creditsSemester 2 (Jan to Jun)
MATH3153Coding Theory15 creditsSemester 1 (Sep to Jan)
MATH3193Algebras and Representations15 creditsSemester 1 (Sep to Jan)
MATH3210Metric Spaces15 creditsNot running in 202425
MATH3215Hilbert Spaces and Fourier Analysis15 creditsNot running in 202425
MATH3225Topology15 creditsSemester 2 (Jan to Jun)
MATH3232Transformation Geometry15 creditsNot running in 202425
MATH3365Mathematical Methods15 creditsSemester 1 (Sep to Jan)
MATH3374Linear and Non-Linear Waves15 creditsNot running in 202425
MATH3375Hydrodynamic Stability15 creditsNot running in 202425
MATH3385Quantum Mechanics15 creditsSemester 2 (Jan to Jun)
MATH3414Analytic Solutions of Partial Differential Equations15 creditsSemester 1 (Sep to Jan)
MATH3424Introduction to Entropy in the Physical World15 creditsSemester 2 (Jan to Jun)
MATH3458Geophysical Fluid Dynamics15 creditsSemester 2 (Jan to Jun)
MATH3474Numerical Methods10 creditsNot running in 202425
MATH3475Modern Numerical Methods15 creditsNot running in 202425
MATH3510Actuarial Mathematics 115 creditsSemester 1 (Sep to Jan)
MATH3520Actuarial Mathematics 215 creditsSemester 2 (Jan to Jun)
MATH3532Relativity and Cosmology15 creditsNot running in 202425
MATH3565Mathematical Biology15 creditsSemester 1 (Sep to Jan)
MATH3620Fluid Dynamics 215 creditsSemester 1 (Sep to Jan)
MATH3714Linear Regression and Robustness15 creditsSemester 1 (Sep to Jan)
MATH3723Statistical Theory15 creditsSemester 2 (Jan to Jun)
MATH3734Stochastic Calculus for Finance15 creditsSemester 2 (Jan to Jun)
MATH3772Multivariate Analysis10 creditsSemester 1 (Sep to Jan)
MATH3802Time Series10 creditsSemester 1 (Sep to Jan)
MATH3820Bayesian Statistics10 creditsNot running in 202425
MATH3823Generalised Linear Models10 creditsSemester 2 (Jan to Jun)
PHYS3011Cosmology15 creditsSemester 2 (Jan to Jun)
PHYS3511Advanced Mechanics15 creditsSemester 1 (Sep to Jan)

MATH2230 and MATH2231 are mutually exclusive.

PHIL3112Kant20 creditsSemester 2 (Jan to Jun)
PHIL3123Philosophy of Logic and Mathematics20 creditsSemester 2 (Jan to Jun)
PHIL3125Continental Philosophy20 creditsSemester 1 (Sep to Jan)
PHIL3310Philosophy of Sex and Relationships20 creditsSemester 2 (Jan to Jun)
PHIL3320Philosophy of Biology20 creditsSemester 2 (Jan to Jun)
PHIL3321Metaethics20 creditsSemester 2 (Jan to Jun)
PHIL3322Aesthetics and the Philosophy of Art20 creditsSemester 1 (Sep to Jan)
PHIL3421Philosophy of Mind20 creditsSemester 1 (Sep to Jan)
PHIL3700Feminist Philosophy20 creditsSemester 1 (Sep to Jan)
PHIL3723War, Terror and Justice20 creditsSemester 1 (Sep to Jan)
PHIL3852Philosophy of Modern Physics20 creditsSemester 1 (Sep to Jan)
PHIL3855Philosophical Issues in Technology20 creditsSemester 2 (Jan to Jun)
PHIL3865Philosophy of the Social Sciences20 creditsSemester 2 (Jan to Jun)
PRHS3170Religion, Belief and Ethics20 creditsNot running in 202425
PRHS3300Religion and Mental Health20 creditsSemester 2 (Jan to Jun)

Last updated: 30/09/2024 11:35:20

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