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BScEconomics and Mathematics

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Studying Economics and Mathematics at Royal Holloway means that you will learn from internationally renowned experts at two of the UK’s top ten teaching and research centres. Economic analysis relies increasingly on mathematical foundations and this joint degree combines the core program of both subjects. Optimal individual behaviour is found through the use of calculus, the dynamic properties of economics are studied with difference and differential equations, and important results in welfare economics are established from topological properties. Advanced mathematics and computing are vital for businesses in determining the best strategy. This degree provides the knowledge and transferable skills for a career in business or finance.

In your studies you will consider the analysis of individual behaviour and markets, with options in financial and industrial economics and other fields; you will learn how to analyse data and understand the fundamental properties of the mathematics used, from calculus to probability and statistics, graphs and optimisation and financial mathematics.

Our balanced approach to research and teaching guarantees high quality teaching from subject leaders, cutting edge materials and intellectually challenging debates. The course follows a coherent and developmental structure which is combined with an effective and flexible approach to study.

Programme structure

Year 1

Principles of Economics
In this module you will develop an understanding of the theories of macroeconomics, that of the economy as a whole, and of microeconomics, the behaviour of individuals, firms and governments. You will look at how the goods and assests markets underpin growth, inflation and unemployment, and the role that fiscal and monetary policy play in macroeconomic managemenet. You will examine the theoretical basis to supply and demand and the role of government intervention in individual markets. You will consider how to solve economic problems by manipulating a variety of simple diagrammatic and algebraic models in macro- and microeconomics, critically evaluating the models and their limitations.

Post-Crisis Economics

Mathematics: 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.

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.

Year 2

In thid module you will develop an understanding of the models of individual optimisation and their applications. You will look at the key determinants of an individual’s behaviour in a variety of circumstances and the behaviour of firms in different market environments, such as perfect competition, monopoly and oligopoly. You will consider how changing circumstances and new information influences the actions of the economic agents concerned, and examine the properties of competitive markets and the need for government intervention to correct market failures.

In this module you will develop an understanding of macroeconomics and macroeconomic policy-making. You will look at a variety of contemporary and historical macroeconomic events, and the differences between the short, medium and long run. You will consider why some countries are rich and some are poor, why different economies grow at different rates, and what determines economic growth and prosperity. You will examine the role of monetary and fiscal policy, its impact on the economy and its limitations. You will also analyse how taxation, budget deficits, and public debt affect the economy.

Mathematics: Statistical Methods
In this module you will develop an understanding of statistical modelling, becoming familiar with the theory and the application of linear models. You will learn how to use the classic simple linear regression model and its generalisations for modelling dependence between variables. You will examine how to apply non-parameric methods, such as the Wilxocon and Kolmogorov-Smirnov goodness-of-fit tests, and learn to use the Minitab statistical software package.

Mathematics: Graphs and Optimisation
In this module you will develop an understanding of the basic concepts of graph theory and linear programming. You will consider how railroad networks, electrical networks, social networks, and the web can be modelled by graphs, and look at basic examples of graph classes such as paths, cycles and trees. You will examine the flows in networks and how these are related to linear programming, solving problems using the simplex algorithm and the strong duality theorem.

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

A Economics and Mathematic degree at Royal Holloway will provides you with an excellent background for a career in business or finance, focusing on developing your quantitative and analytical skills.

We will help students to recognise their own strengths, skills and abilities so that they can make strong applications for their chosen job or further study. We also provide support through a dedicated careers programme which give you access to employability workshops, events and guest speakers.

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