BScMathematics with German

Study location	United Kingdom, Egham, Surrey
Type	Bachelor courses, full-time
Nominal duration	3 years
Study language	English
Awards	BSc
Course code	G1R2

Entry qualification

High school / secondary education (or higher) Required subjects: Grade A in Mathematics, plus grade B in German for the advanced level language pathway. Or, for the beginners language pathway, grade B in an essay based subject. At least five GCSEs at grade A*-C or 9-4 including English and Mathematics The entry qualification documents are accepted in the following languages: English. Often you can get a suitable transcript from your school. If this is not the case, you will need official translations along with verified copies of the original.

Language requirements	English IELTS: 6.0 overall (with a minimum of 5.5 in in each subscore) CAE: 169 overall (with no less than 162 in in each subscore)

Other requirements	At least 1 reference(s) must be provided. A motivation letter must be added to your application.

More information	royalholloway.ac.uk/..ics-with-german.aspx

Overview

Interested? To learn more about this study programme, entry requirements and application process, please contact one of our consultants in a country nearest to you.

Programme structure

Year 1

Mathematics: Calculus
In this module, you will develop an understanding of the key concepts in Calculus, including differentiation and integration. You will learn how to factorise polynomials and separate rational functions into partial fractions, differentiate commonly occurring functions, and find definite and indefinite integrals of a variety of functions using substitution or integration by parts. You will also examine how to recognise the standard forms of first-order differential equations, and reduce other equations to these forms and solve them.

Mathematics: Functions of Several Variables
In this module you will develop an understanding of the calculus functions of more than one variable and how it may be used in areas such as geometry and optimisation. You learn how to manipulate partial derivatives, construct and manipulate line integrals, represent curves and surfaces in higher dimensions, calculate areas under a curve and volumes between surfaces, and evaluate double integrals, including the use of change of order of integration and change of coordinates.

Mathematics: Number Systems
In this module you will develop an understanding of the fundamental algebraic structures, including familiar integers and polynomial rings. You will learn how to apply Euclid’s algorithm to find the greatest comon divisor of two integers, and use mathematical induction to prove simple results. You will examine the use of arithmetic operations on complex numbers, extract roots of complex numbers, prove De Morgan’s laws, and determine whether a given mapping is bijective.

Mathematics: Matrix Algebra
In this module you will develop an understanding of basic linear algebra, in particular the use of matrices and vectors. You will look at the basic theoretical and computational techniques of matrix theory, examining the power of vector methods and how they may be used to describe three-dimensional space. You will consider the notions of field, vector space and subspace, and learn how to calculate the determinant of an n x n matrix.

Mathematics: Numbers and Functions
In this module you will develop an understanding of key mathematical concepts such as the construction of real numbers, limits and convergence of sequences, and continuity of functions. You will look at the infinite processes that are essential for the development of areas such as calculus, determining whether a given sequence tends to a limit, and finding the limits of sequences defined recursively.

German Language 1
This is your core German language module in which you will develop your skills in writing, speaking and comprehending the German language. There will be three seminar hours per week alongside a fortnightly grammar lecture. You will focus on written German, oral practice and grammar, and study a range of texts and topics. The skills you will acquire include the writing of formal letters (letter of complaint, letter to the editor, etc.) and short essays, and presentation delivery in German.

Year 2

Mathematics: Linear Alegbra and Project
In this module you will develop an understanding of vectors and matrices within the context of vector spaces, with a focus on deriving and using various decompositions of matrices, including eigenvalue decompositions and the so-called normal forms. You will learn how these abstract notions can be used to solve problems encountered in other fields of science and mathematics, such as optimisation theory. Working in small groups, you will put together different aspects of mathematics in a project on a topic of your choosing, disseminating your findings in writing and giving an oral presentation to your peers.

Mathematics: Complex Variable
In this module you will develop an understanding of the basic complex variable theory. You will look at the definitions of continuity and differentiability of a complex valued function at a point, and how Cauchy-Riemann equations can be applied. You will examine how to use a power series to define the complex expontential function, and how to obtain Taylor series of rational and other functions of standard type, determining zeros and poles of given functions. You will also consider how to use Cauchy’s Residue Theorem to evaulate real integrals.

German Language 2
This is your core German language module in which you will continue to develop your skills in writing, speaking and comprehending the German language. There will be three seminar hours per week alongside a fortnightly grammar lecture. You will focus on written German, oral practice and grammar. The module will again include an element of ‘German for business purposes’, dealing with business related text genres, such as business letterers and report writing.

Year 3

German Language 3
This is your core German language module in which you will continue to develop your skills in writing, speaking and comprehending the German language. There will be three seminar hours per week. In your grammar class you will work on the effective use of written register and style, and the presenting of a convincing argument. Your oral German classes will include debates and presentations. You will also be introduced to advanced translation skills, focusing on a variety of functional, literary, journalistic, factual and academic texts.

Optional modules

In addition to these mandatory course units there are a number of optional course units available during your degree studies. The following is a selection of optional course units that are likely to be available. Please note that although the College will keep changes to a minimum, new units may be offered or existing units may be withdrawn, for example, in response to a change in staff. Applicants will be informed if any significant changes need to be made.

Career opportunities

By combining your mathematics with German you will find yourself in demand for your valuable combination of numeracy and language skills, and you will be well placed to take advantage of the globalised jobs market and to work in German-speaking countries and across the EU. Employers will value your cross-cultural awareness and understanding and your ability to communicate clearly, research effectively, analyse and handle complex data, approach problems with creativity and employ logical thinking. We have a strong track record of preparing our students for the world of work and research.

Graduates from the two departments have gone on to enjoy successful careers in international management and consultancy, computer analysis and programming, teaching, sales and marketing, media and publishing, banking, accountancy, law, the arts, the civil service, politics, travel and tourism, translating and interpreting, finance, risk analysis, research and engineering. They work for employers as diverse as: KPMG, Ernst & Young, the Ministry of Defence, Barclays Bank, Lloyds Banking Group, the Department of Health, Logica, McLaren, TowersWatson Fleishman-Hillard, the Canadian High Commission in London, UBS Investment Bank, BBC, Pearson Education Limited, London Chamber of Commerce, the Foreign and Commonwealth Office, Thomson Reuters, Fremantle Media, Citigroup, Crédit Suisse, JP Morgan Chase, Mills & Reeve Solicitors, Deloitte & Touche LLP, Burberry, the Government Economic Service, Little Brown Book Group, Estée Lauder Companies, Systema Human Information Services, Bloomberg Tradebrook Europe, Pineapple, and Amazon UK.

Our Mathematics department is part of the School of Mathematics and Information Security and we enjoy strong ties with the information security sector as well as with industry at large. We offer a competitive work experience scheme at the end of year 2, with short-term placements available during the summer holidays. You will also attend a CV writing workshop as part of your core modules in year 2, and your personal adviser and the campus Careers team will be on hand to offer advice and guidance on your chosen career. The University of London Careers Advisory Service offers tailored sessions for mathematics and modern languages students, on finding summer internships or holiday jobs and securing employment after graduation.