Objectives
If you enjoy Mathematics and you wish to learn advanced mathematical and statistical methods and their implementation by computer systems, then the Mathematics degree is an excellent choice. In addition to deepening your understanding of Mathematics and Statistics, you will see applications of the ideas in fields such as industrial quality control, the finance industry, mathematical modelling and biomedical statistics. The degree also offers the opportunity to undertake a placement year in industry, or to study in Europe or in North America. At present we have arrangements for students to study at the University of Grenoble, France, and at the universities of Virginia, Pennsylvania and New Jersey in the USA.
Course description
Content
You will study the equivalent of six modules per year for three years. Each year you will take a number of compulsory modules together with a selection of optional modules. The first two years share the same modules as the BSc Statistics degree.
In the first year you will take the following five compulsory modules.
Linear Algebra: This module will revise, strengthen and extend your knowledge of fundamental ideas that underpin mathematical modelling. The subject of linear algebra, arises from an abstract concept known as vector space and gives rise to mathematical structures such as vectors and matrices. In this module you will learn how to apply linear algebra techniques to the solution of interesting and practical problems.
Structures of Mathematics: In this module, you will learn about the logic and assumptions that underpin arithmetic and algebraic processes. You will apply these concepts to deepen and extend your understanding of this most fundamental of mathematical topics. Central to the study of higher mathematics is the notion of proof and through this module you will learn how to read with understanding and construct a proof.
Statistical Reasoning: In this module, you will be introduced to the statistical analysis of data. Both theoretical and practical aspects will be discussed, and you will learn how to use important statistical computer packages such as Minitab.
Statistical Problem Solving: The solution of problems that require statistical approaches involves first formulating the problem in statistical terms, using efficient and appropriate methods of data collection, followed by summary, analysis, and the effective communication of the results. This module will cover the principles of real-life problems and research, uses of the internet and library resources, and summary and communication of data by way of written reports, oral and poster presentations. The tools used will include Microsoft Office (Word, PowerPoint and Excel, including some Visual Basic) and Minitab statistical software.
Mathematical Problem Solving: This module has been designed to develop skills in mathematical modelling. It is here, that you will learn how to set-up and implement a mathematical model, select an appropriate method of solution and interpret results. The use of computer software in the solution and visualisation of mathematical expressions is covered, but no prior knowledge of computing is assumed.
You will also study either Caluculus Investigations or Introductory Mathematics depending on qualifications on entry to the programme.
In your second year you will take the following five compulsory modules:
* Mathematical Methods;
* Numerical Methods;
* Statistical Modelling;
* Mathematical Statistics.
* You will also chose two options module from those listed.
In your final year you will also choose option modules which enable you to specialise in a number of areas.