Sir Duncan Rice Library
The University’s award winning Sir Duncan Rice Library is listed in the “Top 20 spellbinding University libraries in the World”. It contains over a million volumes, more than 300,000 e-books and 21,000 journals.
Find out moreMathematics and Philosophy, MA
Introduction
Mathematics is a powerful language of communication which can be combined with the study of Philosophy, the understanding of argument and its application.
Study Information
At a Glance
- Learning Mode
- On Campus Learning
- Degree Qualification
- MA
- Duration
- 48 months
- Study Mode
- Full Time
- Start Month
- September
- UCAS Code
- GV15
- Pathway Programme Available
- Undergraduate Foundation Programme
Mathematics is a powerful universal language used to describe situations in abstract terms. At the heart of manipulation with abstract mathematical objects are precision, logical thinking and reasoning skills. Studying and doing Mathematics requires a high level of communication skills. Employers highly value these skills and the subsequent versatility of our graduates.
Philosophy is the study of argument and its application to a wide variety of questions of fundamental importance to human life and intellectual activity.
Philosophers attempt to answer questions such as: What is knowledge? What is the nature of truth? Could the existence of God be proved? Why should we act morally? Philosophy is as much the study of what constitutes a ‘good’ or ‘valid’ argument as it is the application of thought to specific problems.
What You'll Study
- Year 1
-
Compulsory Courses
- Academic Writing for Divinity, History & Philosophy (AW1007)
-
This compulsory evaluation is designed to find out if your academic writing is of a sufficient standard to enable you to succeed at university and, if you need it, to provide support to improve. It is completed on-line via MyAberdeen with clear instructions to guide you through it. If you pass the evaluation at the first assessment it will not take much of your time. If you do not, you will be provided with resources to help you improve. This evaluation does not carry credits but if you do not complete it this will be recorded on your degree transcript.
- Calculus 1 (MA1005)
-
15 Credit Points
Calculus is the mathematical study of change, and is used in many areas of mathematics, science, and the commercial world. This course covers differentiation, limits, finding maximum and minimum values, and continuity. There may well be some overlap with school mathematics, but the course is brisk and will go a long way quickly.
- Algebra (MA1006)
-
15 Credit Points
This course introduces the concepts of complex numbers, matrices and other basic notions of linear algebra over the real and complex numbers. This provides the necessary mathematical background for further study in mathematics, physics, computing science, chemistry and engineering.
- Calculus II (MA1508)
-
15 Credit Points
The aim of the course is to provide an introduction to Integral Calculus and the theory of sequences and series, to discuss their applications to the theory of functions, and to give an introduction to the theory of functions of several variables.
This provides the necessary mathematical background for further study in mathematics, physics, computing science, chemistry and engineering.
- Set Theory (MA1511)
-
15 Credit Points
Set theory was introduced by Cantor in 1872, who was attempting to understand the concept of "infinity" which defied the mathematical world since the Greeks. Set Theory is fundamental to modern mathematics - any mathematical theory must be formulated within the framework of set theory, or else it is deemed invalid. It is the alphabet of mathematics.
In this course we will study naive set theory. Fundamental object such as the natural numbers and the real numbers will be constructed. Structures such as partial orders and functions will be studied. And of course, we will explore infinite sets.
- Getting Started at the University of Aberdeen (PD1002)
-
This course, which is prescribed for level 1 undergraduate students (and articulating students who are in their first year at the University), is studied entirely online, takes approximately 5-6 hours to complete and can be taken in one sitting, or spread across a number of weeks.
Topics include orientation overview, equality and diversity, health, safety and cyber security and how to make the most of your time at university in relation to careers and employability.
Successful completion of this course will be recorded on your Enhanced Transcript as ‘Achieved’.
- Experience, Knowledge and Reality (PH1523)
-
15 Credit Points
How “real” is reality? How does the mind relate to the world? This course introduces two approaches to answering these questions: rationalism and empiricism. By reading Rene Descartes’ Meditations on First Philosophy, we learn about Descartes’ rationalist approach to knowledge, reality, mind-body dualism, and God’s necessary existence. Through David Hume’s Enquiry Concerning Human Understanding see how Hume grounds knowledge in experience. We read Hume on impressions and ideas, induction, causality, miracles and critically compare and examine Descartes’ and Hume’s arguments by drawing on readers and critics.
Optional Courses
Select two of the following:
- Controversial Questions (PH1027)
- How Should One Live? (PH1522)
- Logic and Argument (PH1034)
Plus select further credit points from courses of choice to make up 120 credit points.
- Controversial Questions (PH1027)
-
15 Credit Points
We examine questions such as: Is eating animals immoral? Is being a good or bad person a matter of luck? If so, are we justified in punishing bad people? Should anyone be able to set limits on what you can do with your own body, even if it's ‘for your own good’? Should everyone be allowed to state their mind, even if their views are harmful or offensive? Is censorship ever justifiable? Do you have a moral obligation to help those worse-off? Are you unknowingly biased against underprivileged groups?
- How Should One Live? (PH1522)
-
15 Credit Points
What are the key elements of a good life? Freedom, happiness, acting in our own interests, doing good for others, or following moral laws? Philosophers have asked these questions for millennia, generating a large number of answers and a larger number of further questions. In this course, we will read and discuss theories of ethics from a range of times and cultures. We will read some of the most important works in the history of philosophy from Plato, Aristotle, Confucius, Kant, and Mill, before turning to contemporary approaches including feminist ethics and virtue ethics. Throughout, we will consider and discuss our own views about the values of good and bad, right and wrong, and how to live a good life.
- Logic and Argument (PH1034)
-
15 Credit Points
What makes an argument a good argument? What are the correct rules for reasoning? How do the meanings of sentences relate to each other? How can the tools of logic be used in philosophy? This course provides an introduction to logic and tools for successfully evaluating arguments. Some of the topics covered include validity, soundness, consistency, entailment, provability, quantification, and identity. Two formal languages are introduced, the language of sentential logic and the language of quantified logic. The course develops the ability to symbolise English sentences into formal languages and to complete proofs in Natural Deduction. Logical concepts are applied to issues in philosophy of language, metaphysics, as well as philosophical puzzles and paradoxes.
- Year 2
-
Compulsory Courses
- Linear Algebra i (MA2008)
-
15 Credit Points
Linear algebra is the study of vector spaces and linear maps between them and it is a central subject within mathematics.
It provides foundations for almost all branches of mathematics and sciences in general. The techniques are used in engineering, physics, computer science, economics and others. For example, special relativity and quantum mechanics are formulated within the framework of linear algebra.
The two courses Linear Algebra I and II aim at providing a solid foundation of the subject.
- Analysis i (MA2009)
-
15 Credit Points
Analysis provides the rigorous, foundational underpinnings of calculus. It is centred around the notion of limits: convergence within the real numbers. Related ideas, such as infinite sums (a.k.a. series) and continuity are also visited in this course.
Care is needed to properly use the delicate formal concept of limits. At the same time, limits are often intuitive, and we aim to reconcile this intuition with correct mathematical reasoning. The emphasis throughout this course is on rigorous mathematical proofs, valid reasoning, and the avoidance of fallacious arguments.
- Analysis II (MA2509)
-
15 Credit Points
Analysis provides the rigorous, foundational underpinnings of calculus. This course builds on the foundations in Analysis I, and explores the notions of differential calculus, Riemann integrability, sequences of functions, and power series.
The techniques of careful rigorous argument seen in Analysis I will be further developed. Such techniques will be applied to solve problems that would otherwise be inaccessible. As in Analysis I, the emphasis of this course is on valid mathematical proofs and correct reasoning.
- Linear Algebra II (MA2508)
-
15 Credit Points
Linear algebra is the study of vector spaces and linear maps between them and it is a central subject within mathematics.
It provides foundations for almost all branches of mathematics and sciences in general. The techniques are used in engineering, physics, computer science, economics and others. For example, special relativity and quantum mechanics are formulated within the framework of linear algebra.
The two courses Linear Algebra I and II aim at providing a solid foundation of the subject.
Optional Courses
Select further credit points from courses of choice to gain a total of 120 credits, of which 45 credits must be from level 2 Philosophy courses.
- Year 3
-
Compulsory Courses
- Group Theory (MX3020)
-
15 Credit Points
Group theory concerns the study of symmetry. The course begins with the group axioms, which provide an abstract setting for the study of symmetry. We proceed to study subgroups, normal subgroups, and group actions in various guises. Group homomorphisms are introduced and the related isomorphism theorems are proved. Sylow p-subgroups are introduced and the three Sylow theorems are proved. Throughout symmetric groups are consulted as a source of examples.
- Analysis III (MX3035)
-
15 Credit Points
Analysis provides the rigourous, foundational underpinnings of calculus. The focus of this course is multivariable analysis, building on the single-variable theory from MA2009 Analysis I and MA2509 Analysis II. Concepts and results around multivariable differentiation are comprehensively established, laying the ground for multivariable integration in MX3535 Analysis IV.As in Analysis I and II, abstract reasoning and proof-authoring are key skills emphasised in this course.
- Analysis Iv (MX3535)
-
15 Credit Points
Analysis provides the rigourous, foundational underpinnings of calculus. This course builds on MX3035 Analysis III, continuing the development of multivariable calculus, with a focus on multivariable integration. Hilbert spaces (infinite dimensional Euclidean spaces) are also introduced. Students will see the benefit of having acquired the formal reasoning skills developed in Analysis I, II, and III, as it enables them to work with increasingly abstract concepts and deep results. Techniques of rigourous argumentation continue to be a prominent part of the course.
Optional Courses
Select one of the following:
- Rings and Fields (MX3531)
- Differential Equations (MX3536)
Plus select a further 60 credit points from level 3 courses in Philosophy.
- Rings & Fields (MX3531)
-
15 Credit Points
Many examples of rings will be familiar before entering this course. Examples include the integers modulo n, the complex numbers and n-by-n matrices with real entries. The course develops from the fundamental definition of ring to study particular classes of rings and how they relate to each other. We also encounter generalisations of familiar concepts, such as what is means for a polynomial to be prime.
- Differential Equations (MX3536)
-
15 Credit Points
Differential equations play a prominent role in many disciplines including engineering, physics, economics, and biology. In this course we will study the concept of a differential equation systematically from a purely mathematical viewpoint. Such abstraction is fundamental to the understanding of this concept.
- Year 4
-
Compulsory Courses
- Complex Analysis (MX4557)
-
15 Credit Points
This course asks what happens when concepts such as convergence of sequences and series, continuity and differentiability, are applied in the complex plane? The results are much more beautiful, and often, surprisingly, simpler, than over the real numbers. This course also covers contour integration of complex functions, which has important applications in Physics and Engineering.
Optional Courses
Select one of the following dissertation options:
- Philosophy Dissertation (PH402D)
- Project (MX4023)
Select further credit points from level 4 courses in Mathematical Sciences (MX coded) and level 3 and 4 courses in Philosophy to gain a total of 60 credits in each discipline.
- Dissertation (PH402D)
-
30 Credit Points
The dissertation is on a topic in philosophy. The specific topic will be chosen by the student with the approval of the supervisor. The choice of topics is restricted insofar as it must fall within the teaching competence of the supervisor.
Another dissertation or Project course must not be undertaken alongside the Philosophy Dissertation
- Project (MX4023)
-
15 Credit Points
The 4th year project is a good opportunity to do some research in an area of mathematics which is not covered in any other course. A choice of project topics will be made available to students before the start of the semester. Students will be expected to have regular meetings with their project supervisor. A written report should be submitted at the end of the course, with a presentation taking place shortly afterwards. Students should be able to demonstrate in the project that they have a good understanding of the topic they covered, often through working out examples.
We will endeavour to make all course options available. However, these may be subject to change - see our Student Terms and Conditions page.
How You'll Study
Learning Methods
- Individual Projects
- Lectures
- Research
- Tutorials
Assessment Methods
Students are assessed by any combination of three assessment methods:
- coursework such as essays and reports completed throughout the course;
- practical assessments of the skills and competencies learnt on the course; and
- written examinations at the end of each course.
The exact mix of these methods differs between subject areas, year of study and individual courses.
Honours projects are typically assessed on the basis of a written dissertation.
Why Study Mathematics and Philosophy?
- Mathematics is a powerful international language used to describe situations in precise but abstract terms. Our graduates find their skills highly valued by employers both for their rigorous thinking and their versatility.
- We offer a challenging syllabus which emphasises reasoning, rigour and the argumentative side of mathematics.
- We offer excellent student experience delivered by enthusiastic staff combined with small class sizes, approximately 25 or less in the Honours years.
- The department run a number of key events and seminars throughout the year, giving you the chance to network with students and academics.
- Students can choose from a varied menu including Moral Philosophy, Informal and Formal Reasoning, Metaphysics, Epistemology, the Philosophy of Science and History of Philosophy.
Aberdeen Global Scholarship
The University of Aberdeen is delighted to offer eligible self-funded international on-campus undergraduate students a £6,000 scholarship for every year of their programme.
View the Aberdeen Global ScholarshipEntry Requirements
Qualifications
The information below is provided as a guide only and does not guarantee entry to the University of Aberdeen.
General Entry Requirements
- 2024 Entry
-
SQA Highers
Standard: AABB*
Applicants who have achieved AABB (or better), are encouraged to apply and will be considered. Good performance in additional Highers/ Advanced Highers may be required.
Minimum: BBB*
Applicants who have achieved BBB (or are on course to achieve this by the end of S5) are encouraged to apply and will be considered. Good performance in additional Highers/Advanced Highers will normally be required.
Adjusted: BB*
Applicants who achieve BB over S4 and S5 and who meet one of the widening access criteria are guaranteed a conditional offer. Good performance in additional Highers/Advanced Highers will be required.
*Including good performance in Mathematics by the end of your senior phase of education.
More information on our definition of Standard, Minimum and Adjusted entry qualifications.
A LEVELS
Standard: BBB*
Minimum: BBC*
Adjusted: CCC*
*Including good performance in Mathematics by the end of your senior phase of education.
More information on our definition of Standard, Minimum and Adjusted entry qualifications.
International Baccalaureate
32 points, including 5, 5, 5 at HL*.
*Including good performance in Mathematics by the end of your senior phase of education.
Irish Leaving Certificate
5H with 3 at H2 AND 2 at H3*
*Including good performance in Mathematics by the end of your senior phase of education.
- 2025 Entry
-
SQA Highers
Standard: BBBB*
Applicants who have achieved BBBB (or better), are encouraged to apply and will be considered. Good performance in additional Highers/ Advanced Highers may be required.
Minimum: BBC
Applicants who have achieved BBC at Higher and meet one of the widening participation criteria above are encouraged to apply and are guaranteed an unconditional offer for MA, BSc and BEng degrees.
Adjusted: BB
Applicants who have achieved BB at Higher, and who meet one of the widening participation criteria above are encouraged to apply and are guaranteed an adjusted conditional offer for MA, BSc and BEng degrees.
We would expect to issue a conditional offer asking for one additional C grade at Higher.
Foundation Apprenticeship: One FA is equivalent to a Higher at A. It cannot replace any required subjects.
*Including good performance in Mathematics by the end of your senior phase of education.
More information on our definition of Standard, Minimum and Adjusted entry qualifications.
A LEVELS
Standard: BBC*
Minimum: BCC*
Adjusted: CCC*
*Including good performance in Mathematics by the end of your senior phase of education.
More information on our definition of Standard, Minimum and Adjusted entry qualifications.
International Baccalaureate
32 points, including 5, 5, 5 at HL*.
*Including good performance in Mathematics by the end of your senior phase of education.
Irish Leaving Certificate
5H with 3 at H2 AND 2 at H3*
*Including good performance in Mathematics by the end of your senior phase of education.
The information displayed in this section shows a shortened summary of our entry requirements. For more information, or for full entry requirements for Arts and Social Sciences degrees, see our detailed entry requirements section.
English Language Requirements
To study for an Undergraduate degree at the University of Aberdeen it is essential that you can speak, understand, read, and write English fluently. The minimum requirements for this degree are as follows:
IELTS Academic:
OVERALL - 6.0 with: Listening - 5.5; Reading - 5.5; Speaking - 5.5; Writing - 6.0
TOEFL iBT:
OVERALL - 78 with: Listening - 17; Reading - 18; Speaking - 20; Writing - 21
PTE Academic:
OVERALL - 59 with: Listening - 59; Reading - 59; Speaking - 59; Writing - 59
Cambridge English B2 First, C1 Advanced or C2 Proficiency:
OVERALL - 169 with: Listening - 162; Reading - 162; Speaking - 162; Writing - 169
Read more about specific English Language requirements here.
International Applicants who do not meet the Entry Requirements
The University of Aberdeen International Study Centre offers preparation programmes for international students who do not meet the direct entry requirements for undergraduate study. Discover your foundation pathway here.
Fees and Funding
You will be classified as one of the fee categories below.
| Fee category | Cost |
|---|---|
| RUK | £9,250 |
| Tuition Fees for 2025/26 Academic Year | |
| EU / International students | £20,800 |
| Tuition Fees for 2025/26 Academic Year | |
| Home Students | £1,820 |
| Tuition Fees for 2025/26 Academic Year |
Additional Fees
- In exceptional circumstances there may be additional fees associated with specialist courses, for example field trips. Any additional fees for a course can be found in our Catalogue of Courses.
- For more information about tuition fees for this programme, including payment plans and our refund policy, please visit our Tuition Fees page.
Scholarships and Funding
UK Scholarship
Students from England, Wales and Northern Ireland, who pay tuition fees may be eligible for specific scholarships allowing them to receive additional funding. These are designed to provide assistance to help students support themselves during their time at Aberdeen.
Aberdeen Global Scholarship
The University of Aberdeen is delighted to offer eligible self-funded international on-campus undergraduate students a £6,000 scholarship for every year of their programme. More about this funding opportunity.Funding Database
View all funding options in our Funding Database.
Careers
There are many opportunities at the University of Aberdeen to develop your knowledge, gain experience and build a competitive set of skills to enhance your employability. This is essential for your future career success. The Careers and Employability Service can help you to plan your career and support your choices throughout your time with us, from first to final year – and beyond.
- More information on employability at the University of Aberdeen
- More information on the Careers and Employability Service
Our Experts
Information About Staff Changes
You will be taught by a range of experts including professors, lecturers, teaching fellows and postgraduate tutors. However, these may be subject to change - see our Student Terms and Conditions page.
Facilities
Discover Uni
Discover Uni draws together comparable information in areas students have identified as important in making decisions about what and where to study. You can compare these and other data for different degree programmes in which you are interested.
Get in Touch
Contact Details
- Address
-
Student Recruitment & Admissions
University of Aberdeen
University Office
Regent Walk
Aberdeen
AB24 3FX