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Mathematics and Statistics

The International Foundation Year in Mathematics and Statistics provides a route to a number of undergraduate degrees in the distinguished Department of Mathematics and Statistics at Lancaster University. Degree options include Mathematics, Statistics, Mathematics and Philosophy, Environmental Mathematics and Financial Mathematics.

What will I study?

During Foundation Year, you will study a combination of core modules, including English Language and university study skills, and subject specific modules.

Core modules

Academic English Skills (AES 1,2 & 3)*

You will develop your English communication skills and learn a range of study skills, including writing and reading strategies, presentation and seminar participation, organisation of time and materials, meeting deadlines and responding to feedback.

When you have completed these modules you will be able to take notes and write essays in English. You should also have the confidence to five presentations, answer follow-up questions and contribute to seminar discussions.

Project and Research Skills

You will complete a self-study project on a topic that you will take, in consultation with your tutor, from the academic discipline that you will subsequently study at degree level. This is completed over two terms.

Subject specific modules

Pure Mathematics 1

This module discusses set theory, geometry and topics leading up to introductory calculus.

Pure Mathematics 2

This covers further methods of calculus, numerical methods and applications of calculus.

Pure Mathematics 3

You will learn about mathematical induction as well as topics in number theory, graph theory and group theory.

Applied Mathematics 1

Here you will learn about the mechanics of point masses. This includes Newton’s Laws of Motion, and an understanding of momentum and energy conservation. You will also learn about the mathematics of vectors and apply this to the motion of projectiles and the statics of simple rigid bodies.

Applied Mathematics 2

Here you will study variable acceleration and objects modelled as rigid bodies.


This is about extracting information from data. We look at descriptive statistics and then study probability and probability distributions. We study correlation, how to tell whether two sets of data are related to each other, and hypothesis testing.

*Subject to approval