German and Mathematics, MA

German and Mathematics, MA

Introduction

German at Aberdeen is rated 'Excellent' in the Teaching and Quality Assessment and Mathematics is highly rated for research in Pure and Applied areas.

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
RG12

German for Beginners provides an intensive introduction to the German language for students with no previous knowledge of German, or with qualifications beneath Higher or A-Level standard.

For students with a Higher or A-Level qualification in German, German Language courses deal with advanced aspects of German grammar and vocabulary, designed to improve students’ command of both written and spoken German.

Mathematics

  • Students can choose between focusing their attention on Mathematics or spreading their interests to combine it with other subjects.
  • 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, discussion 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.

What You'll Study

Year 1

Compulsory Courses

Advanced - for post-Higher candidates and those who have studied German for more than 4 years

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.

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’.

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.

German Language 1 (GM1050)

15 Credit Points

This module is designed for students with an SCE H in German or equivalent. The course develops receptive and productive oral and written German language skills. Students who are considering applying for entry to German Honours must take this course.

German Language 2 (GM1550)

15 Credit Points

This module is designed for students with an SCE H in German or equivalent. The course develops receptive and productive oral and written German language skills. Students who are considering applying for entry to German Honours must take this course. The course builds on GM1050.

Optional Courses

Select ONE OR BOTH of the following:

  • Modern German Culture 1 (GM1052) AND/OR Modern German Culture 2 (GM1556)

Plus further credit points from courses of choice to reach 120 credit points.

Modern German Culture 1 (GM1052)

15 Credit Points

Learn more about German 20th-century literature, dealing with the events that shaped German and European history. As in all good literature, we will discuss universal themes and topics covering all of the most important aspects of modern life.

Modern German Culture 2 (GM1556)

15 Credit Points

Learn more about modern German history, culture and literature while also extending your skills in reading German texts.

Year 2

Compulsory Courses

Second half session to be spent in a German Speaking Country

Modern German Culture 3 (GM2043)

15 Credit Points

Learn more about modern German history and culture while also extending your skills in reading German texts.

German Language 3 (GM2042)

15 Credit Points

This level two language course will build on and extend students' fluency and written skills in German.

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.

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.

Year 3

Compulsory Courses

German Junior Honours Language Study (GM3069)

15 Credit Points

This junior honours language course will build on and extend students' written skills and fluency in German.

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 from the following options:

  • Rings and Fields (MX3531) or Differential Equations (MX3536)

Plus a further 45 credit points from level 3 courses in German.

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

German Language Study for Senior Honours (GM4099)

30 Credit Points

Building on the skills gained during the Junior Honours language course and before, this module expands and refines German language expertise in writing, reading, speaking and listening, to an advanced level, for their final exit written and oral exam in German.

Optional Courses

Select ONE of the following dissertation options.

Plus, select further credit points from level 4 courses in German and Mathematical Sciences (MX coded) to gain a total of 60 credits in each discipline.

Dissertation in German (GM4052)

15 Credit Points

Students engage in their first larger project of independent research. The dissertation is to be written in German and followed by a 20 minute Viva.

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 they learn on the course; and
  • 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.

Why Study German and Mathematics?

Why German

  • A vibrant international community on campus and across the region, with many German-speaking students, staff and activities to get involved in and practise your language skills.
  • German Society open to all students interested in German and the German-speaking countries, organising drama performances and other events such as Kaffee and Kuchen, a German Stammtisch, film showings, and visits by German speakers and writers.
  • German Drama Group providing a great opportunity to produce an annual play, widen your language skills and meet other German students studying in Aberdeen. Previous years included works of 20th century dramatists Dürrenmatt, Borchert and Horvath.
  • Opportunities to study the rich literature and culture of Austria and Switzerland in addition to Germany.
  • A packed campus programme of events, exhibitions, seminars, invited speakers and the popular annual WayWORD festival, welcoming international figures, experts, authors and scientists to campus.
  • Your period abroad as a language assistant or visiting student - we have exchange scholarships with the Universities of Zurich, Kiel and Greifswald, and Erasmus partners including Leipzig, Cologne, Bonn, Trier and Graz in Austria.
  • The spectacular, award-winning Sir Duncan Rice Library, with fabulous study facilities, state-of-the-art technology, and an extensive German collection to inspire your studies.

Why Mathematics

  • We offer a challenging syllabus that reflects our specialist expertise and emphasises reasoning, rigour and the argumentative side of mathematics as well the high levels of communication skills in demand by employers.
  • Our graduates are highly employable, with many going on to pursue careers in business and banking, as well as the science and tech sector, particularly as actuaries, data scientists, economists or market analysts.
  • 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 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.
  • 98.3% of Aberdeen's Mathematics research ranks as world-leading or internationally excellent (REF 2021)

Entry 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.

More information on our definition of Standard, Minimum and Adjusted entry qualifications.

A LEVELS

Standard: BBB

Minimum: BBC

Adjusted: CCC

More information on our definition of Standard, Minimum and Adjusted entry qualifications.

International Baccalaureate

32 points, including 5, 5, 5 at HL.

Irish Leaving Certificate

5H with 3 at H2 AND 2 at H3.

Entry from College

Advanced entry to this degree may be possible from some HNC/HND qualifications, please see www.abdn.ac.uk/study/articulation for more details.

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.

More information on our definition of Standard, Minimum and Adjusted entry qualifications.

A LEVELS

Standard: BBC

Minimum: BCC

Adjusted: CCC

More information on our definition of Standard, Minimum and Adjusted entry qualifications.

International Baccalaureate

32 points, including 5, 5, 5 at HL.

Irish Leaving Certificate

5H with 3 at H2 AND 2 at H3.

Entry from College

Advanced entry to this degree may be possible from some HNC/HND qualifications, please see www.abdn.ac.uk/study/articulation for more details.

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.

Fees and Funding

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

Fee information
Fee category Cost
EU / International students £20,800
Tuition Fees for 2024/25 Academic Year
Home Students £1,820
Tuition Fees for 2024/25 Academic Year
RUK £9,250
Tuition Fees for 2024/25 Academic Year

Scholarships and Funding

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.

Financial support for your study year abroad

We provide funding to students starting in 2021/22 on degrees with a compulsory period abroad at the same level as the Turing funding. This financial support can be used towards rent in your new city overseas, general living costs, or travelling to see more of your new home country. Students going abroad will continue to pay their normal rate of tuition fees with no increased charges or need to change tuition fee arrangements to the host university. For a full overview of how the tuition fees work, you can check this helpful funding table on our website.

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.

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 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.

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.

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Get in Touch

Contact Details

Address
Student Recruitment & Admissions
University of Aberdeen
University Office
Regent Walk
Aberdeen
AB24 3FX

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