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Students inspecting geometric models

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

Academic English Skills aims to provide you with thorough training in the language and related academic skills which will enable you to best achieve your academic potential at University. These skills include the processes of academic writing, effective and extensive reading strategies, effective participation in seminars and delivery of presentations, and listening to and recording information effectively from lectures. You will also develop the accuracy and range of written and spoken language required to use language effectively and appropriately, with clarity and confidence in an academic context.

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.

Statistics

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.