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Core modules:

Introduction to University Mathematics

This core module is designed to consolidate A-level material and explore topics in mathematics that you'll use throughout your degree. You'll also be introduced to core skills, such as mathematical literacy, communication and problem-solving.  

Throughout this module you'll develop a strong foundation in core mathematics. You'll consider techniques for solving equations, special functions, calculus, vectors, complex numbers, and finite and infinite series.

20 credits

Foundations of Pure Mathematics

The module aims to give an overview of basic constructions in pure mathematics; starting from the integers, we develop some theory of the integers, introducing theorems, proofs, and abstraction.  This leads to the idea of axioms and general algebraic structures, with groups treated as a principal example.  The process of constructing the real numbers from the rationals is also considered, as a preparation for “analysis”, the branch of mathematics where the properties of sequences of real numbers and functions of real numbers are considered.

20 credits

Geometry, Matrices and Multivariate Calculus

This core module is designed to further develop your knowledge of the core mathematics you'll use across your degree.

You'll learn about two-dimensional coordinate geometry, discussing the theory of matrices geometrically and algebraically. You'll also define and evaluate derivatives and integrals for functions that depend on more than one variable, with an emphasis on functions of two variables.

Throughout this module you'll continue to develop your employability skills, exploring the career options open to mathematics graduates. You'll also work with your coursemates to undertake a group project on sustainability.

20 credits

Writing Philosophy

Philosophical writing is a skill that you, the student, must hone early on in order to succeed in your degree. It is also a transferable skill that will serve you in your post-academic career. Philosophical writing combines the general virtues of clarity, organisation, focus and style found in other academic writing with particular philosophical virtues; namely, the ability to expose the implicit assumptions of analysed texts and to make explicit the logical structure of one's own and other people's arguments. A precondition of philosophical writing is a unique form of textual analysis that pays particular attention to its argumentative structure. In this module you will learn and practice philosophical writing. You will learn how to read in preparation for philosophical writing, learn how to plan an essay, learn how to rework your drafts and learn how to use feedback constructively.  Short writing exercises will help you hone specific writing skills. You will bring these skills together by writing a number of complete essays. The lectures in the course will be split between lectures on the art of writing and lectures on philosophical topics in the domain of fact and value. Essay topics will be based on the topical lectures and their associated readings.

20 credits

Reason and Argument

This module teaches basic philosophical concepts and skills to do with argument.  The first part of the course deals with arguments in ordinary language.  It teaches techniques for recognizing, interpreting, analyzing, and assessing arguments of various kinds.  It also teaches important concepts related to arguments, such as truth, validity, explanation, entailment, consistency, and necessity.  The second part of the course is a basic introduction to formal logic.  It teaches how to translate ordinary-language arguments into formal languages, which enables you to rigorously prove validity, consistency, and so on.

20 credits

Optional module:

A student will take 20 credits (one module) from this group.

Mathematical Investigation Skills

This module introduces topics which will be useful throughout students’ time as undergraduates and in employment. These skills fall into two categories: computer literacy and presentation skills.  One aim of this module is to develop programming skills within Python to perform mathematical investigations.  Students will also meet the typesetting package LaTeX, the web design language HTML, and Excel for spreadsheets.  These will be used for making investigations, and preparing reports and presentations into mathematical topics.

20 credits

Mathematical modelling

Mathematics is the language of science.  By framing a scientific question in mathematical language, it is possible to gain deep insight into the empirical world.  This module aims to give students an appreciation of this astonishing phenomenon.  It will introduce them to the concept of mathematical modelling via examples from throughout science, which may include biology, physics, environmental sciences, and more.  Along the way, a range of mathematical techniques will be learned that tend to appear in empirical applications.  These may include (but not necessarily be limited to) difference and differential equations, calculus, and linear algebra.

20 credits

Probability and Data Science

Probability theory is branch of mathematics concerned with the study of chance phenomena. Data science involves the handling and analysis of data using a variety of tools: statistical inference, machine learning, and graphical methods. The first part of the module introduces probability theory, providing a foundation for further probability and statistics modules, and for the statistical inference methods taught here. Examples are presented from diverse areas, and case studies involving a variety of real data sets are discussed. Data science tools are implemented using the statistical computing language R.

20 credits

Mind and World

This module is an introduction to a range of topics in epistemology, metaphysics, and the philosophy of mind. In the first half of the module we consider questions such as: How should we understand knowledge? What implications does cognitive and cultural diversity have for our understanding of knowledge? Should we privilege some points of view? Should we trust others? Can we wrong them if we don't? And what should we say about disagreement? In the second half of the module we ask questions such as: Is the mind a physical thing? Can a machine have a mind? Can you survive the destruction of your body? Do you have free will? And can a machine be responsible for its own actions?

20 credits

Religion, Reason and Reality

Religious traditions typically understand reality as involving more than just the tangible physical world.  This module tackles philosophical questions about religion and reality.  These include questions about different conceptions of God and the justification for religious beliefs, such as belief in God, supernatural forces and an afterlife.  And questions about the nature of religious 'beliefs': are these the same kind of thing as mundane 'beliefs'?   They also include questions about reality, raised by potential technological advances, like the question of whether we are living in a simulation, and how we should think about God if we think we are.  And the question of whether technologies like virtual reality can offer what people have long sought from religion.

20 credits

Bodies, Sex and Desires

This module introduces students to some key topics in the Philosophy of Sex and Queer Theory. We will begin with the surprisingly difficult questions of what sex is, and what a sexual orientation is, examining these questions from the perspective of contemporary philosophy, and also the history of sexuality and desire. We will consider a range of issues around the nature of embodiment, for example, whether there are only two biological sexes (male and female), as well as social and political implications of these categorisations. We will also discuss the nature of intimacy and relationships, including asexuality, aromanticism, polyamory; 'sexual racism'; how we should understand consent; and whether having power over someone makes it impermissible to have sex with them. Finally, we will think about some issues surrounding sex work, focusing on whether or not it is inherently different from other jobs, and whether there is anything morally problematic about pornography.The readings and perspectives covered in this module are diverse, and include examples from empirical studies, media and popular culture. You can develop knowledge of your favourite topics in the portfolio assessment, engaging with module readings in Philosophy of Sex, and Queer theory.

20 credits

Ethics and Society

This module introduces students to some core questions in ethics, political philosophy, and social philosophy. We ask questions such as: What is a good life for you? What is a morally good life? Does being virtuous matter? What kind of moral consideration do we owe to non-human animals and the environment? Turning to political philosophy, we consider how societies should be organised if they are to realise values such as freedom, equality, and community. How should we understand these values? And what role might the state play in promoting (or undermining) them? We also look at some questions in social philosophy. For example: What are social groups? And when and why are social norms oppressive?

20 credits

Science, Medicine and Society

This is a module on the relationship between science, society, and values and serves as an introduction to the philosophy of science and bioethics.

Science plays an essential role in modern society. We trust science, and its results, on a day to day basis as we navigate our worlds and interact with each other. Yet, what is it about science, or scientific methodology, that makes it so trustworthy? We will investigate a range of questions that concern the epistemology and social structure of science. These include: What is the relationship between evidence, observation, and theory? Is there a distinctive scientific methodology? Does the social structure of science help or hinder scientific research? After considering these theoretical questions, we will turn to questions of value and a range of problems that arise with the application of science. Some of these problems are historic but many have emerged as we move through the 21st century. In a pandemic, for example, how should we balance concerns for liberty and protecting the vulnerable? Should we try to 'enhance' human beings, or should we be happy with the way we are? How might the use of artificial intelligence impact trust in the healthcare system? This module thus moves from the theoretical to the practical.

20 credits

Death and Killing

This module introduces students to some key philosophical questions about life and death. What is death? What happens to us when we die? Could there be an afterlife? Would it be a good thing if there were? Is it rational to fear death? Do we have moral duties towards the dead? If death is usually bad for us then killing someone, or allowing them to die, is usually wrong. But it is not always wrong. There are exceptions. The module looks at a range of life-and-death situations that may include euthanasia, abortion, killing non-human animals, war and capital punishment.

20 credits

History of Philosophy

In Philosophy the past can be a guide to the present.  The ideas that shape and guide philosophical thought can be understood by examining their historical development.  This module will introduce students to key debates and the thought of key figures from the history of philosophy. The focus will be on a number of selected readings covering topics of central philosophical importance from philosophy's long past.

20 credits