Mathematics and Philosophy BA/BSc
A* in Mathematics, A* in Further Mathematics and A in a further subject. at A level; graduates earn a median £39,500 three years on.
Typical A level offer
A* in Mathematics, A* in Further Mathematics and A in a further subject.
95% of entrants came with A levels · 100% stay on after year 1 · Warwick course page, Discover Uni
Year 13 · applying
What do you need to get in?
A* in Mathematics, A* in Further Mathematics and A in a further subject.typical A level offer; a* in mathematics, a* in further mathematics and a in a further subject.
Typical offer — the grades most applicants are asked for. Contextual offer: A* in Mathematics, A* in Further Mathematics and B a third subject, for applicants from under-represented backgrounds.
Warwick course page, read 19 September 2026 · Discover Uni entry profile
Who actually got in: 95% with A levels, 5% with the IB. 80% arrived with 208 or more UCAS tariff points — roughly A*A*A or better. Based on 20 entrants.
UCAS tariff points — a points scale for grades: A* = 56, A = 48, so A*A*A = 160. Entrants’ totals include extra subjects.
Other qualifications4
| Qualification | Typical offer | Required subjects |
|---|---|---|
| IB | 39 points39 to include 6, 6, 6 in three Higher Level subjects including Mathematics (Analysis and Approaches). | 6, 6, 6 in three Higher Level subjects including Mathematics |
| BTEC | —We welcome applications from students taking a BTEC as long as essential subject requirements are met. | — |
| Advanced Highers | A1 in Advanced Higher Mathematics (C847), grade A2 in an additional Advanced HigA1 in Advanced Higher Mathematics (C847), grade A2 in an additional Advanced Higher, grade A2 in Higher Mathematics (C847) and AAA in Highers in three additional subjects to those being taken at Advan | — |
| Access | 45 Credits at Level 3, including Distinction in 33 Level 3 credits and Merit in We will consider applicants returning to study who are presenting a QAA-recognised Access to Higher Education Diploma on a case-by-case basis. Typically, we require 45 Credits at Level 3, including Di | — |
Years 1–3
What do you study?
9compulsory modules in year 1
Compulsory modules this year: mathematics & statistics 73% · arts & humanities 25% · language & communication 3%.
Module — one course unit, usually a term or a year long; “core” means everyone takes it. One UK credit is about ten hours of study; a full year is 120 credits.
Warwick course page · optional modules vary by year
Year 1 · 9 core · 110 credits ≈ 1,100 hours
- Sets and Numbers
What you learn (4)
- apply properties of standard number systems
- use set notation and quantifiers accurately
- describe functions and relations using formal notation
- apply different proof techniques to mathematical statements
- Mathematical Analysis 1
What you learn (7)
- describe the structure and properties of the real number system
- explain the concept of infinity and its use in mathematical analysis
- identify limits of sequences and series
- distinguish between conditional and absolute convergence of series
- apply convergence tests to determine series behaviour
- describe the properties of continuous functions
- explain the characteristics of absolutely continuous functions
- Methods of Mathematical Modelling 2
What you learn (13)
- evaluate scalar-valued functions of several variables
- evaluate vector-valued functions of several variables
- describe parametric representations of curves
- describe parametric representations of surfaces
- apply coordinate transformations to mathematical expressions
- explain the relationships linking line, surface and volume integrals
- evaluate line, surface and volume integrals using integral theorems
- compute partial derivatives and gradients of multivariable functions
- compute the Jacobian and directional derivative of a function
- compute the divergence and curl of a vector field
- interpret the geometric meaning of a multivariable Riemann integral
- integrate functions over simple regions
- justify changes to area and volume elements under coordinate conversion
- Methods of Mathematical Modelling 1
What you learn (12)
- describe the stages involved in constructing a mathematical model
- formulate a simple mathematical model for a given situation
- analyse the behaviour of a simple mathematical model
- apply scaling and non-dimensionalisation to simplify a model
- apply linear stability analysis to identify dominant dynamics
- explain which factors drive the behaviour of a dynamical system
- solve first order ordinary differential equations
- solve second order ordinary differential equations
- interpret the qualitative behaviour of solutions to differential equations
- solve simple difference equations
- relate difference equations to their continuous differential equation counterparts
- describe basic techniques for numerically approximating solutions
- Linear Algebra
What you learn (13)
- define vector spaces and their properties
- determine whether a set of vectors is linearly independent
- identify a basis and calculate the dimension of a vector space
- explain the concept of a linear transformation
- apply linear transformations to vectors and spaces
- perform matrix manipulations using row and column operations
- apply matrix reduction techniques to solve systems of linear equations
- calculate determinants of n by n matrices
- compute cofactors and adjoint matrices
- explain how determinants and adjoints relate to solving linear systems
- compute eigenvalues and eigenvectors of a matrix
- interpret the geometric meaning of eigenvalues and eigenvectors
- describe linear transformations between euclidean spaces
- Mathematical Analysis 2
What you learn (10)
- determine whether a function is differentiable at a point
- compute higher-order derivatives of a function
- explain key properties of differentiable functions
- construct the Taylor series of a given function
- apply Taylor's theorem to estimate approximation error
- determine when a function can be represented by a power series
- construct the Riemann integral from first principles
- explain the theoretical basis of the Riemann integral's construction
- explain conditions guaranteeing integrability of continuous functions
- apply the Fundamental Theorem of Calculus to evaluate integrals
- Logic 1: Introduction to Symbolic Logic
What you learn (6)
- define what makes an argument logically valid
- distinguish methods for determining argument validity or invalidity
- formulate and assess sentences in propositional and first-order logic
- apply truth tables to evaluate argument validity
- construct formal proofs to establish argument validity
- devise counterexamples to disprove invalid arguments
- Mind and Reality
What you learn (10)
- explain central problems in epistemology, metaphysics and philosophy of mind
- describe key concepts that frame these philosophical problems
- articulate opposing positions within philosophical debates
- outline arguments supporting different philosophical positions
- describe key scholarly literature relevant to the module topics
- analyse arguments for and against positions in the literature
- evaluate the strength of competing philosophical arguments
- present philosophical knowledge clearly in spoken form
- present philosophical knowledge clearly in written form
- relate module ideas to broader debates in philosophy
- Introduction to Probability
What you learn (9)
- apply standard techniques to solve probability problems
- describe experiments involving random outcomes
- interpret random experiments using mathematical probability
- explain the concept of conditional probability
- explain the concept of statistical independence
- apply probability distribution theory to random variables
- calculate expectation, variance and covariance of random variables
- select suitable probability distributions for given problems
- construct probability models to represent real problems
Year 2 · 4 core · 45 credits ≈ 450 hours
- Metric Spaces
What you learn (11)
- define key properties of normed, metric and topological spaces
- apply theorems about metric and topological spaces to solve problems
- perform calculations involving distances and norms in metric spaces
- compare the open-set definition of continuity with other definitions
- apply continuity concepts to analyse open and closed sets
- describe fundamental concepts of compactness, connectedness and completeness
- apply theorems relating to compactness, connectedness and completeness
- perform calculations involving compactness, connectedness and completeness
- analyse relationships between compactness, connectedness and completeness
- evaluate how continuous maps preserve compactness, connectedness and completeness
- apply compactness, connectedness and completeness concepts to simple problems
- Multilinear Algebra
What you learn (7)
- compute the jordan canonical form of a matrix
- explain the theoretical basis of jordan canonical form
- define functions of matrices
- calculate functions of matrices
- apply properties of bilinear forms to solve problems
- explain the concept of a tensor
- manipulate tensors using standard operations
- Groups and Rings
What you learn (4)
- describe core constructions in group theory
- describe core constructions in ring theory
- classify groups and rings according to given properties
- identify different types of ring from their defining properties
- Logic II: Metatheory
What you learn (8)
- state the soundness theorem for propositional and first-order logic
- state the completeness theorem for propositional and first-order logic
- describe key technical definitions and results underlying metatheory
- explain the significance of soundness and completeness for logic
- explain the implications of these metatheoretic results for mathematics
- apply formal definitions precisely within symbolic logical systems
- formulate precise definitions of logical concepts in written discussion
- construct rigorous mathematical proofs of logical theorems
Year 3 · 1 core, 5 optional · 15 credits ≈ 150 hours
- Set Theory
What you learn (8)
- construct injections and bijections to compare set sizes
- compare orderings of sets using explicit mappings
- interpret results using cardinal and ordinal arithmetic terminology
- outline the staged construction of the real numbers from first principles
- recognise the use of the Axiom of Choice within mathematical proofs
- justify when the Axiom of Choice can be avoided in arguments
- evaluate the strengths of Zermelo-Fraenkel set theory as a mathematical foundation
- evaluate the limitations of Zermelo-Fraenkel set theory as a mathematical foundation
5 optional modules
- Commutative Algebra
What you learn (14)
- explain the Hilbert basis theorem
- identify examples of Noetherian rings
- compute a Gröbner basis for a polynomial ideal
- determine the Spec of a given ring
- determine the zero locus of an ideal
- explain the proof of the Cayley-Hamilton theorem
- apply the Cayley-Hamilton theorem to prove Nakayama's lemma
- apply the Cayley-Hamilton theorem to prove the tower law and related module theorems
- determine algebraic integers using methods from finite extension theory
- compute the localisation of a ring
- compute the integral closure of a ring
- compute the dimension of a ring
- explain the proof of Hilbert's Nullstellensatz
- apply the Nullstellensatz to compute primary decomposition of polynomial ideals
- Logic III: Incompleteness & Undecidability
What you learn (4)
- describe arithmetic representability and proof predicates
- construct self-referential statements used in incompleteness proofs
- explain the significance of incompleteness results for mathematical logic
- evaluate the implications of undecidability for foundations of mathematics
- Philosophy of Mathematics
What you learn (5)
- outline the historical development of major approaches to the philosophy of mathematics
- relate philosophical questions about mathematics to the foundations of mathematics
- critique arguments presented in support of different theories of mathematics
- explain methodological issues arising in the philosophy of mathematics
- distinguish between philosophical and mathematical approaches to a problem
- Computability Theory
What you learn (4)
- state key definitions of machine models and computational problems
- describe core results on undecidability and completeness
- construct mathematical proofs using computability theoretic concepts
- explain the significance of undecidability and church's thesis for foundational issues
- Metaphysics
What you learn (7)
- apply metaphysical approaches to specific philosophical problems
- explain the points of disagreement between competing metaphysical debates
- evaluate argumentative strategies used to address metaphysical questions
- describe central concepts underlying different answers to metaphysical questions
- formulate a personal position on competing metaphysical views
- defend a philosophical position with clear reasoned argument
- communicate philosophical ideas clearly and precisely
Year 4 · 0 core, 2 optional
2 optional modules
- Dissertation
What you learn (8)
- plan a research or critical review project in a chosen field
- carry out a research or critical review project in a chosen field
- explain in depth the subject matter of the chosen research topic
- produce a well-structured written account of research findings
- organise a schedule for conducting research and writing a dissertation
- apply appropriate research methods to investigate a topic
- use software tools to format and present a dissertation
- use online resources to gather information for a research topic
“What you learn” restates each module’s published learning outcomes in our own words, as short skill statements in the same form as the GCSE and A level curriculum, with the help of an AI model; fields of knowledge follow the twelve fields of the knowledge sphere. The university’s module page, linked from each title, is the authoritative description.
After graduating
Where does it lead?
£39,500median pay three years after graduating
Lower quarter£29k
Median£40k
Upper quarter£51k
Median — the middle earner: half earned more, half less. Pay is for graduates of this subject at this university who finished in 2016-18, not adjusted for inflation; based on 325 graduates.
Discover Uni dataset (HESA and Office for Students, CC BY 4.0, contains HESA data); earnings from the Longitudinal Education Outcomes data (Department for Education) · aggregation level 13, 14, 24, 23
Half of graduates earned between £29,000 and £51,000. Five years on, the median is £53,000. 80% were in work or further study 15 months after finishing; 87% of those in work were in professional or managerial jobs.
All outcome figures7
| Measure | Value | Based on |
|---|---|---|
| Continue after year 10% left | 100% | 15 |
| In work or study, 15 months on20% studying | 80% | 15 |
| Professional or managerial job | 87% | 160 |
| Pay 15 months on, median | £35,500 | 120 |
| Pay 3 years on, median | £39,500 | 325 |
| Pay 5 years on, median | £53,000 | 365 |
Money
What does it cost?
£10,050a year for UK students, 2027/28 entry
Tuition fee loan — paid straight to the university; repayments start the April after you leave, at 9% of income above the threshold. UK fees are capped by government and rise with inflation; placement and study-abroad years are usually charged at a lower rate.
Warwick fees page · source
About £30,150 in fees over 3 years, covered by a tuition fee loan you repay only when earning above the threshold.
National Student Survey 2025-26
What do students say?
91%agreed the course was good overall (question 26)
NSS — a yearly survey of final-year students at every UK university; 79% of this course’s final year answered. Small groups can swing a lot year to year.
National Student Survey, via Discover Uni · 10 students answered
Highest: 100% agreed on question 1; lowest: 45% on question 14.
All questions26
| Question | Agree |
|---|---|
| Question 1 | 100% |
| Question 2 | 100% |
| Question 3 | 100% |
| Question 4 | 100% |
| Question 5 | 91% |
| Question 6 | 100% |
| Question 7 | 100% |
| Question 8 | 82% |
| Question 9 | 82% |
| Question 10 | 55% |
| Question 11 | 82% |
| Question 12 | 82% |
| Question 13 | 91% |
| Question 14 | 45% |
| Question 15 | 100% |
| Question 16 | 100% |
| Question 17 | 100% |
| Question 18 | 100% |
| Question 19 | 80% |
| Question 20 | 100% |
| Question 21 | 100% |
| Question 22 | 91% |
| Question 23 | 100% |
| Question 24 | 78% |
| Question 25 | 56% |
| Question 26 | 91% |
Question texts are published by the Office for Students; the dataset carries only the question numbers.
Modules, entry requirements and fees are facts read from University of Warwick’s course page on 2026-09-19 and may change; the university’s page is authoritative. Descriptions are not reproduced. Outcome figures are from the Discover Uni dataset. University of Warwick is a trade mark of the university; sch.today is independent of it.