Introduction

Mathematics can be a powerful tool to communicate different situations. You can study Mathematics In combination with Gaelic Studies.

This programme is studied on campus.

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.

The Gaelic Studies aspect of the degree programme can be studied at beginner, intermediate or advanced level to suit.

Both the MA and BSc Mathematics degrees study the same core maths courses. The difference comes in the choices that students can make through their optional courses.

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Key Programme Information

At a Glance

Learning Mode
On Campus Learning
Degree Qualification
MA
Duration
48 months
Study Mode
Full Time
Start Month
September
UCAS Code
G1Q8

What You'll Study

Year 1

Year 1

Compulsory Courses

Academic Writing for Language & Literature (AW1008)

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.

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Calculus i (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.

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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.

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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.

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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.

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Modern Gaelic Scotland (GH1014) - 15 Credit Points

Gaelic is Scotland's oldest living language. In this introductory course you will learn about the Gaels, their history and their role in the shaping modern Scotland. You will also learn about how Gaelic language and culture became minoritised in its own country. Students will learn learn about various contemporary initiatives that are aimed at saving and promoting this indigenous language and culture and this will be compared to minority languages and cultures elsewhere in the world.

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Professional Skills Part 1 (PD1001)

This course, which is prescribed for level 1 students and optional for level 2 students, is studied entirely online and covers topics relating to careers and employability, equality and diversity and health, safety and wellbeing. During the course you will learn about the Aberdeen Graduate Attributes, how they are relevant to you and the opportunities available to develop your skills and attributes alongside your University studies. You will also gain an understanding of equality and diversity and health, safety and wellbeing issues. Successful completion of this course will be recorded on your Enhanced Transcript as ‘Achieved’ (non-completion will be recorded as ‘Not Achieved’). The course takes approximately 3 hours to complete and can be taken in one sitting, or spread across a number of weeks and it will be available to you throughout the academic year.This course, which is prescribed for level 1 students and optional for level 2 students and above, is studied entirely online and covers topics relating to careers and employability, equality and diversity and health, safety and wellbeing. During the course you will learn about the Aberdeen Graduate Attributes, how they are relevant to you and the opportunities available to develop your skills and attributes alongside your University studies. You will also gain an understanding of equality and diversity and health, safety and wellbeing issues. Successful completion of this course will be recorded on your Enhanced Transcript as ‘Achieved’ (non-completion will be recorded as ‘Not Achieved’). The course takes approximately 3 hours to complete and can be taken in one sitting, or spread across a number of weeks and it will be available to you throughout the academic year

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Optional Courses

Beginners

  • Gaelic for Beginners 1A (GH1007)
  • Gaelic for Beginners 1B (GH1507)
  • Select further credit points from courses of choice to reach 120 credit points

Intermediate/Advanced

  • Gaelic Language 1A (GH1013)
  • Gaelic Language 1B (GH1513)
  • Select further credit points from courses of choice to reach 120 credit points
Gaelic for Beginners 1a (GH1007) - 15 Credit Points

This is an 11-week course in the modern Scottish Gaelic language for students who have little or no prior experience of the language, or for students with no formal qualifications in Gaelic. You will learn Gaelic through a mixture of interactive language classes, a class which focuses on conversational skills, and a programme of homework exercises, together with self-directed learning.By the end of the course, you will be able to speak, read, write and understand Gaelic at a basic level and you will have mastered a large working vocabulary.

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Gaelic for Beginners 1b (GH1507) - 15 Credit Points

This is an 11-week course in the modern Scottish Gaelic language for students who have completed GH1007 Gaelic for Beginners 1A.

You will attend three interactive language classes and one conversation class each week, as well as undertaking self-directed learning.

By the end of the course you will be expected to have mastered a large working vocabulary and to be competent in understanding and using most of the major structures of the language.

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Gaelic Language 1a (GH1013) - 15 Credit Points

This is a Gaelic language course for students who are relatively fluent in the language already and have studied it to at least Higher in school (Higher Gaelic or Gàidhlig) or have studied it to a similar level elsewhere.

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Gaelic Language 1b (GH1513) - 15 Credit Points

This is the second-half of the first year Gaelic language course for students who are relatively fluent in the language already and have studied it to at least Higher in school (Higher Gaelic or Gàidhlig) or have studied it to a similar level elsewhere.

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Year 2

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.

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Analysis i (MA2009) - 15 Credit Points

Analysis provides the rigourous, 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), continuity, and differentiation, 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 rigourous mathematical proofs, valid reasoning, and the avoidance of fallacious arguments.

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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.

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Analysis II (MA2509) - 15 Credit Points

Analysis provides the rigourous, foundational underpinnings of calculus. This course builds on the foundations in Analysis I, and explores the notions of Riemann integrability, Cauchy sequences, sequences of functions, and power series. The techniques of careful rigourous 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.

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Optional Courses

Beginners

  • Gaelic for Advanced Beginners 2A (GH2009)
  • Gaelic for Advanced Beginners 2B (GH2509)

Intermediate/Advanced

  • Gaelic Language 2A (GH2013)
  • Gaelic Language 2B (GH2513)
Gaelic for Advanced Beginners 2a (GH2009) - 15 Credit Points

This is the second year Gaelic language course for people who started learning in their first year. It builds on the foundations already set in the first year and continues to develop vocabulary, grammatical structures and idioms in both writing and speech.

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Gaelic for Advanced Beginners 2b (GH2509) - 15 Credit Points

This course follows on from GH2009 and is for people who started learning in their first year. It continues to develop a range of linguistic competencies in written and oral language.

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Gaelic Language 2a (GH2013) - 15 Credit Points

This is the second year Gaelic language course for students who are relatively fluent in the language already and have studied it to at least Higher in school (Higher Gaelic or Gàidhlig) or similar level. It follows on from GH1513.

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Gaelic Language 2b (GH2513) - 15 Credit Points

This is the second half of the second year Gaelic language course for students who are relatively fluent in the language already and have studied it to at least Higher in school (Higher Gaelic or Gàidhlig) or similar level. It follows on from GH2013.

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Year 3

Year 3

Compulsory Courses

Gaelic Language (Non Honours) (GH3021) - 30 Credit Points

A level 3 Gaelic language class for students not taking Honours in Gaelic. The course is topic based and will enable students to deal with a large range of subjects in Gaelic. The course also develops students' generic writing and oral skills. The course runs over both semesters.

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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. Composition series are introduced and the Jordan-Holder theorem is proved. Sylow p-subgroups are introduced and the three Sylow theorems are proved. Throughout symmetric groups are consulted as a source of examples.

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Rings and 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.

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Metric and Topological Spaces (MX3036) - 15 Credit Points

The aim of the course is to introduce the basic concepts of metric spaces and their associated topology, and to apply the ideas to Euclidean space and other examples.

An excellent introduction to "serious mathematics" based on the usual geometry of the n dimensional spaces.

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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.

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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.

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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 differentialk equation systematically from a purely mathematical viewpoint. Such abstraction is fundamental to the understanding of this concept.

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Year 4

Year 4

Compulsory Courses

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.

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Galois Theory (MX4082) - 15 Credit Points

Galois theory is based around a simple but ingenious idea: that we can study field extensions by instead studying the structure of certain groups associated to them. This idea can be employed to solve some problems which confounded mathematicians for centuries, including the impossibility of trisecting an angle with ruler and compass alone, and the insolubility of the general quintic equation.

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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.

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Optional Courses

  • Select 60 credit points from level 4 Mathematical Sciences courses
  • Select 15 credit points from courses of choice

Course Availability

We will endeavour to make all course options available; however, these may be subject to timetabling and other constraints. Please see our InfoHub pages for further information.

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 they learn on the course.
  • Written examinations at the end of each course.

The exact mix of these methods differs between subject areas, years of study and individual courses.

Honours projects are typically assessed on the basis of a written dissertation.

Further Information

View detailed learning and assessment information for this programme

How the programme is taught

The typical time spent in scheduled learning activities (lectures, tutorials, seminars, practicals), independent self-study or placement is shown for each year of the programme based on the most popular course choices selected by students.

How the programme is assessed

The typical percentage of assessment methods broken down by written examination, coursework or practical exams is shown for each year of the programme based on the most popular course choices selected by students.

Year 1

Learning Method
scheduled: 30%
independent: 70%
placement: 0%
Assessment
written: 68%
coursework: 30%
practical: 2%

Year 2

Learning Method
scheduled: 37%
independent: 63%
placement: 0%
Assessment
written: 72%
coursework: 23%
practical: 5%

Year 3

Learning Method
scheduled: 23%
independent: 77%
placement: 0%
Assessment
written: 60%
coursework: 40%
practical: 0%

Year 4

Learning Method
scheduled: 21%
independent: 79%
placement: 0%
Assessment
written: 69%
coursework: 31%
practical: 0%

Why Study Mathematics with Gaelic?

Why Gaelic Studies

  • Strong tradition of commitment to Gaelic, and a University Gaelic Language Plan to promote and develop Gaelic in the University in line with the Gaelic Language (Scotland) Act 2005.
  • Close links with the Research Institute of Irish and Scottish Studies, and its literary magazine, Causeway / Cabhsair, which frequently includes poems and short stories from established and new Gaelic writers.
  • Student-run Celtic Society famous for its musical events, ceilidhs and trips, and a great opportunity to use Gaelic in an informal, social context.
  • The spectacular, award-winning Sir Duncan Rice Library, with an extensive Gaelic collection and treasures, including the 10th century Book of Deer with some of the oldest examples of Gaelic writing to have survived from medieval Scotland.
  • An intensive summer school, giving students the chance to practise their Gaelic language skills in a friendly, natural environment.
  • A strong Gaelic theme in the University’s popular May Festival at which thousands attend to hear world-famous authors, poets, public figures, scientists and other experts, and debate big issues in arts, literature, and current affairs.
  • A warm welcome for students whatever your level of Gaelic, and long-standing experience in teaching this fascinating language to complete beginners.

Why Mathematics

  • We offer a challenging syllabus which emphasises reasoning, rigour and the argumentative side of mathematics.
  • Our ambition is to give you a sound preparation for a career in which mathematics plays a role, whether it be in research or through applications.
  • We offer excellent student experience delivered by enthusiastic staff combined with small class sizes, approximately 25 or less in the Honours years.
  • We offer a degree in Pure Mathematics and degree in Applied Mathematics to suit your taste and interests. You will only need to make the choice in your 3rd year.
  • We offer a range of choices with your degree programme, across both the sciences (BSc) and the Arts (MA). You can focus your attention entirely on Mathematics or you can spread your interests to combine it with other subjects.
  • We offer attractive joint degrees with Economics, Physics and other disciplines, including languages.
  • The department run a number of key events and seminars throughout the year, giving you the chance to network with students and academics.
  • Interactions with applied maths are fostered through our involvement in the Institute for Pure and Applied Mathematics, comprised of the Department of Mathematics together with the Institute for Complex Systems and Mathematical Biology.

Entry Requirements

Qualifications

The information below is provided as a guide only and does not guarantee entry to the University of Aberdeen.

SQA Highers - AABB*
A Levels - BBB *
IB - 32 points, including 5,5,5 at HL*
ILC - 5H with 3 at H2 AND 2 at H3 OR AAABB, obtained in a single sitting. (B must be at B2 or above)*

*SQA Higher or GCE A Level or equivalent qualification in Mathematics is required.

Further detailed entry requirements for Arts and Social Sciences degrees.

English Language Requirements

To study for a degree at the University of Aberdeen, it is essential that you can speak, understand, read, and write English fluently. Read more about specific English Language requirements here.

Fees and Funding

You will be classified as one of the fee categories below.

Fee Waiver

For international students (all non-EU students) entering in 2017/18, the 2017/18 tuition fee rate will apply to all years of study; however, most international students will be eligible for a fee waiver in their final year via the International Undergraduate Scholarship.

Most RUK students (England, Wales and Northern Ireland) on a four year honours degree will be eligible for a full-fees waiver in their final year. Scholarships and other sources of funding are also available.

Fee information
Fee category Cost
Home / EU £1,820
All Students
RUK £9,250
Students Admitted in 2018/19 Academic Year
International Students £14,600
Students Admitted in 2018/19 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 InfoHub Tuition Fees page.

Our 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 Service can help you to plan your career and support your choices throughout your time with us, from first to final year – and beyond.

Our Experts

Information About Staff Changes

You will be taught by a range of experts including professors, lecturers, teaching fellows and postgraduate tutors. Staff changes will occur from time to time; please see our InfoHub pages for further information.

Unistats

Unistats 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 Service
University of Aberdeen
University Office
Regent Walk
Aberdeen
AB24 3FX