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BScMathematical Studies

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Overview

Mathematics is intrinsically beautiful and satisfying to study but perhaps the true skills lie in applying it to the challenges and intricacies of the world we all live in. Our Mathematical Studies programme is firmly rooted in the key concepts and techniques of mathematics, from the abstract to the practical, but it also allows you to pursue studies in related fields and to build a skillset that is unique to you and your personal interests. In years 2 and 3 you may be able to choose up to a quarter of your courses from other departments, such as Computer Science, Philosophy, Sociology, Physics or Management.

So many aspects of our daily lives rely on the skills of mathematicians – from computing and digital communications, to engineering, aviation and satellite navigation, the physical sciences, economics, management, and the social sciences. Your solid grounding in mathematics will help you in any academic discipline or career that you choose to pursue. Our varied and flexible curriculum is influenced by our world-class research activities. We are internationally renowned for our work in pure mathematics, information security, statistics and theoretical physics. Provided you make good progress in year 1 you will have the option of transferring onto our four-year Mathematics MSci programme (G103) or to transfer onto the second or third year of one of our other undergraduate mathematics programmes, such as the more focused Mathematics BSc (G100).

Join our friendly and inspiring department and you will benefit from a thoroughly supportive learning environment. We offer small group tutorials, problem solving sessions, practical workshops and IT classes, as well as generous staff office hours and a dedicated personal adviser who will help you with any queries or difficulties and guide you with your choice of courses and career. We also offer CV writing workshops and a competitive work placement scheme. Graduates from our department are in great demand for their numeracy, analytical skills, data handling powers, creative and logical thinking and problem solving abilities.

Programme structure

Year 1

From Euclid to Mandelbrot
In this module you will develop an understanding of how mathematics has been used to describe space over the last 2,500 years. You will look at ruler and compass constructions from ancient Greece, the influence of algebra on geometry in the renaissance, and the intricate and beautiful fractal patterns developed by Benoît Mandelbrot in the 1970s. You will learn to sketch simple curves using polar coordinates, draw and classify conics, and use simple arguments to distinguish between countable and uncountable sets.

Principles of Statistics
In this module you will develop an understanding of the notion of probability and the basic theory and methods of statistics. You will look at random variables and their distributions, calculate probabilities of events that arise from standard distributions, estimate means and variances, and carry out t tests for means and differences of means. You will also consider the notions of types of error, power and significance levels, gaining experience in sorting a variety of data sets in a scientific way.

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.

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.

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.

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.

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.

Year 2

Linear Algebra and Group 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.

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.

Year 3

All modules are optional

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

Graduates from this programme are in high demand for their broad and deep understanding of mathematical methods and concepts, their ability to handle complex data sets, approach problems creatively and logically and undertake specialist research. We have a strong track record of producing high achievers who go on to enjoy rewarding and high profile careers. Our department is part of the School of Mathematics and Information Security and we enjoy strong ties with both the information security sector and industry at large. Graduates from our department have successfully secured positions in business management, IT consultancy, computer analysis and programming, accountancy, the civil service, teaching, actuarial science, finance, risk analysis, research and engineering. We have graduates working for organisations such as: KPMG, Ernst & Young, the Ministry of Defence, Barclays Bank, Lloyds Banking Group, the Department of Health, Logica, McLaren and TowersWatson, and in research teams tackling problems as diverse as aircraft design, operational research and cryptography.

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 also offers tailored sessions for Mathematics students, on finding summer internships or holiday jobs and securing employment after graduation.

Apply now! Fall semester 2021/22
This intake is not applicable

We are currently NOT ACCEPTING applications from NON-EU countries, except Georgia and Serbia.

Application deadlines apply to citizens of: United States

Apply now! Fall semester 2021/22
This intake is not applicable

We are currently NOT ACCEPTING applications from NON-EU countries, except Georgia and Serbia.

Application deadlines apply to citizens of: United States