BSc (Hons) Financial Mathematics Bachelor's degree at the University of Leeds

You'll learn the foundational concepts of function, number and proof, equipping you with the tools to tackle more advanced mathematical studies. The module also consolidates basic calculus and, extends it to more advanced topics, such as functions of several variables. This leads to methods for solving simple ordinary differential equations. You'll also cover essential foundations in linear algebra. Overall, the module provides a basis for wide areas of mathematics.

In the modern scientific and technological world, it is even more important to understand probabilistic and statistical arguments. This module will introduce you to key ideas in both areas, with probability forming the theoretical basis for statistical tests and inference.

You'll be introduced to computational techniques, algorithms and numerical solutions, as well as the mathematics of discrete systems. You'll learn basic programming using the language Python and apply computational techniques to the solution of mathematical problems.

You'll cover the basic concepts of financial accounting and interpretation of financial statements in a business context. You'll also gain an insight into how financial information is used and reported in business, learning how to recognise and explain how financial transactions are recorded in the context of the current technical standards, language and practices of accounting.

This module gives you a broad introduction to management accounting as a discipline and the commercial use of management accounting information. You'll learn the fundamental concepts and techniques of management accounting and the role it plays in planning, decision making and control within organisations. You'll also gain an understanding of how to apply these techniques to making a variety of business decisions and performance evaluation.

You'll assess the concepts of microeconomics and macroeconomics and explore the application of these theories to issues and problems of consumption, production, exchange as well as output, employment, inflation and investment and finance.

Statistical models are important in many applications. They contain two main elements: a set of parameters with information of scientific interest and an "error distribution" representing random variation. This module lays the foundations for the analysis of such models. We'll use practical examples from a variety of statistical applications to illustrate the ideas.

A stochastic process refers to any quantity which changes randomly in time. The capacity of a reservoir, an individual's level of no claims discount and the size of a population are all examples from the real world. The linking model for all these examples is the Markov process. With appropriate modifications, the Markov process can be extended to model stochastic processes which change over continuous time, not just at regularly spaced time points. You'll explore the key features of stochastic

In time series, measurements are made at a succession of times, and it is the dependence between measurements taken at different times which is important. This module will concentrate on techniques for model identification, parameter estimation, diagnostic checking and forecasting within the autoregressive moving average family of models and their extensions.

The module provides an introduction to diverse financial applications of mathematics. The different applications are considered within the three broad categories of risk management, insurance and financial liabilities and pricing of financial assets.

This is an intermediate level module and is intended to provide a critical appreciation of the fundamental theories and concepts in corporate finance as a pre-requisite for further study of the more specialist aspects of finance and the financial markets covered in the advanced finance modules in level 3. The module relates theory to current corporate business practice and requires you to be able to confidently use and interpret financial formulas and numerical data.

Vector calculus is the extension of ordinary one-dimensional differential and integral calculus to higher dimensions, and provides the mathematical framework for the study of a wide variety of physical systems, such as fluid mechanics and electromagnetism. These systems give rise to partial differential equations (PDEs), which can be solved and analysed. Students will learn to use, among others, techniques introduced in earlier modules as well as being introduced to Fourier methods for PDEs.

Explore the more abstract ideas of vector spaces and linear transformations, together with introducing the area of discrete mathematics.

Optimisation, "the quest for the best", plays a major role in financial and economic theory, such as maximising a company's profits or minimising its production costs. This module develops the theory and practice of maximising or minimising a function of many variables, and thus lays a solid foundation for progression onto more advanced topics, such as dynamic optimisation, which are central to the understanding of realistic economic and financial scenarios.

Rings are one of the fundamental concepts of mathematics, and they play a key role in many areas, including algebraic geometry, number theory, Galois theory and representation theory. The aim of this module is to give an introduction to rings. The emphasis will be on interesting examples of rings and their properties.

You'll be introduced to ideas and methods of mathematical research. Examples and applications will be drawn from across the spectrum of pure mathematics, applied mathematics and statistics.

The module will consider a number of macroeconomic problems and explain the approach that macroeconomists take to tackle them. You'll critically discuss and evaluate a range of macroeconomic models and macroeconomic concepts that are used to understand macroeconomic problems.

Explore a number of microeconomic problems and the approach that microeconomists take when attempting to solve these problems. You'll develop insight into how mathematical modelling is used to understand problems of consumer theory and producer theory. The aim of this module is to give you a grounding in the tools, techniques, and theory of microeconomics theory and the application of microeconomics.

Explore the theoretical underpinnings which drive the current regulations and corporate guidance for UK companies. In addition, you'll cover the practical aspects of financial accounting and reporting required of companies following the International Financial Reporting Standards in the UK. You'll also cover the technical accounting for a wide range of issues and build on existing technical knowledge to a standard that allows you to apply and critically evaluate the rules and principles being ap

This module aims to provide you with a critical appreciation of the theoretical role and purposes of management accounting and the relationship between management accounting information and organisational decision-making.

This project is a chance for you to build invaluable research skills and develop and implement a personal training plan by conducting your own independent research project in a topic in mathematics. You'll meet in groups to discuss the project topic, with each group member researching a specific aspect of the topic and producing an individual project report. You'll then come together as a group to present your results, with each person contributing their own findings.

Stochastic calculus is one of the main mathematical tools to model physical, biological and financial phenomena (among other things). This module provides a rigorous introduction to this topic. You'll develop a solid mathematical background in stochastic calculus that will allow you to understand key results from modern mathematical finance. This knowledge will be used to derive expressions for prices of derivatives in financial markets under uncertainty.

The module introduces the theory of interest rates and the time value of money in the context of financial transactions such as loans, mortgages, bonds and insurance. The module also introduces the basic theory of life insurance where policy payments are subject to mortality probabilities.