Physics with Philosophy MPhys
2025-26 entryPrepare for a career in research, whether you want to focus on questions that physics raises about the nature of existence, or refine your logical thinking abilities to help solve problems in industry. In your final year, you’ll join a team of physics researchers and run your own project.
Key details
- A Levels AAA
Other entry requirements - UCAS code F3V5
- 4 years / Full-time
- September start
- Accredited
- Find out the course fee
- Dual honours
- Foreign language study
- Optional placement year
- Study abroad
Explore this course:
Course description
Why study this course?
100% of our research and impact was rated world-leading or internationally excellent by REF 2021.
Because you’ll be taught across two schools, you’ll have double the options when it comes to your social life. In philosophy, you could join the Philosophy Society or be involved in the only UK undergraduate philosophy journal. In physics you might choose to join the Sheffield Space Initiative, and design a Mars rover or launch a rocket.
Learn through lectures and labs where you’ll cover the essential physics and fundamentals of astronomy.
Our courses meet the educational requirement for you to become a Chartered Physicist.
You have the options to complete a research project, industrial group project, Quantum Information Lab, or Physics Education and Outreach project – giving you hands-on experience wherever your career aspirations lie.
Prepare for a career researching the deep philosophical questions raised by modern physics, like what does quantum mechanics tell us about reality, and is our universe random, and does it matter?
Run in partnership with the Department of Philosophy, your dual masters degree in Physics with Philosophy MPhys at Sheffield is where you’ll begin to understand motion and religion, electricity and ethics, magnetism, quantum mechanics, art and death. And where you start your career as a researcher in academia or industry.
In your first two years, you’ll do the essential physics that all of our students cover, and choose from a wide range of optional philosophy modules. In practical classes, you’ll run experiments using the equipment in our modern laboratories to help you understand how important theories apply to the real world.
In optional programming classes you’ll absorb skills that are key to modern physics and valuable in many graduate careers. And our Department of Philosophy staff encourage students to engage with real world issues, meaning what you learn can be applied to make a difference in the community.
In your third year, you can branch out into lots of different areas and complete your own research project in physics or philosophy – from astrophysics and dark matter, to free will and metaphysics – boosting your analytical, writing and presentation skills.
A variety of optional physics modules are also available in your fourth year, when you’ll be working on a major research project. You’ll choose a research topic in physics and work closely with a member of academic staff who is an expert in the area you want to explore. The project takes up around half of your final year and can lead to a publication in a scientific journal.
Dual and combined honours degrees
Accredited by the Institute of Physics (IOP) for the purpose of fully meeting the educational requirement for Chartered Physicist.
Modules
UCAS code: F3V5
Years: 2023, 2024
Core modules:
- Introductory Mathematics for Physicists and Astronomers
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This module provides the necessary introductory level 1 mathematics for students taking physics and / or astronomy degrees except those taking theoretical physics degrees.
20 credits
Topics will be covered in two equally weighted streams: Stream A: common functions of one variable, differentiation, series expansions, integration and ordinary differential equations. Stream B: basic complex numbers, vector manipulation, properties and applications of matrices. - Further Mathematics for Physicists and Astronomers
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This module provides the necessary additional mathematics for all students taking physics and/or astronomy degrees including those taking theoretical physics degrees. The following topics will be covered: introduce the students to vector calculus; elementary probability theory; ensure that the students have a thorough knowledge of how to apply mathematical tools to physical problems.
10 credits - Fundamentals of Physics
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This module introduces the fundamentals of University Physics that are built on in later years of study. This includes the development of data analysis skills, laboratory skills, scientific report writing and communication along with the ability to analyse physics problems and solve them using pen and paper, experiment and computer programming. Key concepts in electromagnetism, classical mechanics, thermal physics, waves and oscillations and quantum mechanics will be studied and used to develop problem solving.
50 credits - Writing Philosophy
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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
Optional philosophy modules:
A student will take 20 credits from this group.
- Philosophy of Religion
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This course will pose and try to answer philosophical questions about religion. These include questions about the nature of religion. For instance does being religious necessarily involve believing in the existence of a God or Gods? And is religious faith compatible with adherence to the scientific method? Other questions that the course will cover include questions about the theistic notion of God. Does the idea of an all-powerful being make sense? Is an all-knowing God compatible with human freedom? And is an all-powerful, all-knowing and perfectly good creator of the universe compatible with the existence of evil? Further questions concern God and morality. Is it true that if there is no God, then there is no right and wrong? The course will examine philosophical arguments for the existence of God, and question whether these arguments are sound.
10 credits - Ethics in Antiquity: East and West
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How should we live? What are the right values and principles by which we should guide our lives? What weight should we give to considerations of morality and justice? Are there fixed truths about these matters or are they just determined by choice or convention? Ethics is concerned with questions such as these. This course will engage with such questions by examining some important and influential texts from the ancient world, both Western and Eastern, including key writings by the Greek philosopher Plato and the Chinese philosopher Zhuangzi.
10 credits - Death
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This module is mainly about death itself . What is death? What happens to us when we die? Could there be an afterlife? Would it be a good thing if there were? What is it about death that we dislike so much, or that makes it bad? Is it rational, or even possible to fear death? What is the right attitude towards our own death? Do we have moral duties towards the dead? The course will clarify these questions and attempt to answer them. Readings will be taken from both historical and contemporary sources.
10 credits - LGBTQ [Lesbian, Gay, Bisexual, Trans and Queer] Studies
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This module introduces students to study of genders and sexualities, and LGBTQ scholarship, both historical and contemporary. It examines genders and sexualities in society, culture, media, and their academic study, as well as contemporary issues of inequality affecting sexual minorities in different global contexts. The module is team taught by experts in different departments at the University of Sheffield, who will introduce students to a wide range of theoretical and methodological perspectives, such as philosophy, history, social sciences, psychology, evolutionary biology, education, cultural studies, and critical study of religion. The module is assessed by a coursework portfolio, where students answer a number of short questions on different topics in the syllabus.
10 credits - Mind and World
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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 - Philosophy of Science - Why Trust Science?
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Science plays an important role in modern society. We trust science on a day to day basis as we navigate our worlds. What is about science that makes it so trustworthy? Why is science a good guide for understanding the world? The aim of this half-module is to introduce some of the philosophical issues that arise in science and through reflecting on science. Most of the questions considered concern the epistemology of scientific knowledge and methodology: what are scientific theories, what counts as evidence for these theories, what is the relationship between observation and theory, is there a scientific method, what distinguishes science from other ways of understanding the world, and how does the social structure of science help or hinder science in studying the world. This module aims to introduce these questions as philosophical issues in their own right and within in the context of the history of the philosophy of science.
10 credits - History of Philosophical Ideas
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The history of philosophy is made up of a series of debates between competing philosophical traditions and schools: for example, idealists argue with realists, rationalists with empiricists. And at different times, distinctive philosophical movements have dominated the discussion, such as pragmatism, existentialism, phenomenology, analytic philosophy, and critical theory. This module will introduce you to some of these central movements and traditions in the history of philosophy from Plato onwards, and the key philosophical concepts and issues that they have brought in to western thought.
10 credits - Truth, Reality and Virtual Reality
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This module examines the idea that there is an objective reality to which the things we say and believe are answerable, which makes some claims true and others false. The emphasis is not so much on the question of whether and how we know things, but on metaphysical questions concerning truth and reality. 'What is Truth?' is one of these questions. Different attempts to define truth - including the Correspondence Theory of truth and the Pragmatic Theory of truth will be examined. Another question the course will tackle is the question of whether relativism about reality can be successfully refuted. And the module will address arguments relating to virtual reality, including arguments to the conclusion that what we think of as the real world is in fact a simulation, and arguments that call into question the supposed difference between reality and virtual reality. There are political and moral questions that hinge on answers to our metaphysical questions. The aim of the module is to introduce theories, concepts and frameworks that will be helpful to attempts to grapple with the metaphysical questions and further questions that hinge on them.
10 credits - Reason and Argument
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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 - Ethics and Society
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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 - Philosophy of Sex
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Sex is one of the most basic human motivators, of fundamental importance in many people's lives, and a topic of enormous moral, religious, and political contention. No surprise, then, that it turns out to be of great philosophical interest. We will discuss moral issues related to sex' asking when we might be right to judge a particular sex act to be morally problematic; and what political significance (if any) sex has. We will also discuss metaphysical issues, such as the surprisingly difficult questions of what exactly sex is and what a sexual orientation is. Throughout our study, we will draw both on philosophical sources and on up-to-date contemporary information.
10 credits
Core modules:
- Special Relativity & Subatomic Physics
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Special relativity is a key foundation of modern physics, particularly in the contexts of particle physics and astrophysics where E = mc2 and relativistic speeds are crucial concepts. In this module, the fundamental principles of special relativity will be explained, emphasising the energy-momentum four-vector and its applications to particle collisions and decays. Applications to nuclear physics include nuclear mass and binding energy, radioactive decay, nuclear reactions, nuclear fission and fusion. We will also cover the structure of the nucleus (liquid drop model and an introduction to the shell model).
10 credits - Classical and Quantum Physics
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This module provides the core level 2 physics content for non-theoretical degrees. It integrates physics content with supporting mathematics and practical work. Transferable skills are covered via different presentation modes for lab work. A further item is employability. The module also contains one or more items of group work. Physics topics covered are classical physics and oscillations, thermal physics, quantum mechanics, properties of matter and electromagnetism. Mathematics topics are Fourier techniques and partial differential equations. Both mathematical topics are applied to a range of the physics covered and are integrated with aspects of the practical work.
70 credits
To pass the module the following must all be satisfied:
1. Pass the Portfolio
2. Obtain an average mark over the 4 exams of 40% or greater
3. Submit all lab assignments and obtain an average mark of 40 or greater
Optional philosophy modules:
A student will take 40 credits (two modules) from this group.
- Formal Logic
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The course will start by introducing some elementary concepts from set theory; along the way, we will consider some fundamental and philosophically interesting results and forms of argumentation. It will then examine the use of 'trees' as a method for proving the validity of arguments formalised in propositional and first-order logic. It will also show how we may prove a range of fundamental results about the use of trees within those logics, using certain ways of assigning meanings to the sentences of the languages which those logics employ.
20 credits - Philosophy of the Arts
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This module introduces students to a broad range of issues in the philosophy of art. The first half asks 'What is art?'. It examines three approaches: expression theories, institutional accounts, and the cluster account. This is followed by two critiques focusing on the lack of women in the canon and problems surrounding 'primitive' art. The evolutionary approach to art is discussed , and two borderline cases: craft and pornography. The second half examines four issues: cultural appropriation of art, pictorial representation, aesthetic experience and the everyday, and the nature of artistic creativity.
20 credits - Ethics: Theoretical and Practical
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There are some things we morally ought to do, ways we ought to live. Those of us who are not moral sceptics will agree so far. Indeed, we may even agree extensively about what we ought to do or how we ought to live. But why? Ethicists don't just ask what we ought to do. They also try to work out, as systematically as possible, what explains the demands, obligations and requirements that stem from morality. That is what this module will explore. Is morality all about promoting the well-being of humans and other creatures? Does it stem from the requirements of rationality? Is it aimed at achieving the distinctive kinds of excellence that creatures like us can attain?
20 credits - History of Political Philosophy
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We are citizens in a democratic capitalist society, we vote and choose our representatives and our government, our representatives make laws that we must then follow. We do not only obey the laws only for fear of being punished; we believe that our system of government is just, and that it is just for us to obey the laws. We believe that - by and large - we live in a just society. Do we? What justifies our system of government? Are there alternative possible relations, alternative forms of citizenship; alternative forms of government, alternative ways of organising a society? Is ours the only just one?
20 credits
We will look at the history of political philosophy and explore various systems of citizenship, government and economic arrangements. Our main aim will be to understand how these different systems justify or legitimise the existence of government and its authority to make and enforce laws. We will also look at the more general notion of 'justice' that accompanies and grounds these systems of government.
Two side concerns will be:-
1. The relation between a philosopher's view of ethics and her political philosophy.
2. The relation between a philosopher's view of human nature and her political philosophy. - Metaphysics
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This course is an introduction to metaphysics. It will focus on two general themes: whether we are material things, and the nature of time. Readings will be drawn mainly from recent and contemporary sources.
20 credits - Religion and the Good Life
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What, if anything, does religion have to do with a well-lived life? For example, does living well require obeying God's commands? Does it require atheism? Are the possibilities for a good life enhanced or only diminished if there is a God, or if Karma is true? Does living well take distinctive virtues like faith, mindfulness, or humility as these have been understood within religious traditions? In this module, we will examine recent philosophical work on questions like these while engaging with a variety of religions, such as Buddhism, Christianity, Confucianism, Daoism, Islam, and Judaism.
20 credits - Environmental Justice
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This module will introduce students to contemporary philosophical discussions of environmental justice at the global level. Topics to be covered may include: The nature of global environmental injustices; responsibility for global environmental problems; the relationship between global environmental challenges and other historical and contemporary injustices; fair international sharing of the costs of environmental action; the justifiability of environmental activism; the rights of indigenous peoples; fairness in global environmental decision-making; and the politics of ‘geoengineering’ the planet.
20 credits - Life Worth Living
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What does it mean for a life to go well? How does one live life well? What is a flourishing life? These questions have shaped intellectual endeavour for millennia. Life Worth Living explores approaches to these questions through engagement with diverse traditions/thinkers including classical Greek philosophy, Buddhism, Judaism, Christianity, Islam, Confucianism, Existentialism, Marx, and Nietzsche. The module includes historical analysis of these traditions, visits from individuals whose lives are shaped by them, fieldwork to discuss the ideas beyond the classroom, and assessments to help students develop their own vision of a life worth living.
20 credits - Philosophy of Mind
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This module provides a survey of philosophical theories of the mind, looking at such questions as: How is consciousness possible? Why is it that vibrations in the air around us produce conscious experiences of particular auditory experiences in our minds? Why is it that electromagnetic waves hitting our retinas produce particular visual experiences in our minds? What makes our thoughts represent things in the world? What is it about your thought that cats have whiskers that makes it about cats and whiskers? What is it about your thought that there are stars in the universe too far away for any human to have perceived them that makes it about such stars? What is the relation between thoughts and conscious experiences and brain states? We'll look at a variety of answers to these and related questions and examine some of the most important and influential theories that contemporary philosophers have to offer.
20 credits - Political Philosophy Today
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This module will investigate a broad range of contemporary topics and issues in political philosophy. Example topics include the political rights of animals and children, how we should allocate scarce health resources, whether we should ban private education, and the limits of free speech in the workplace. By studying these topics and others, students will gain a broad knowledge of the state of contemporary political philosophy, develop their ability to critically assess and discuss real-world issues, and improve their understanding of how theoretical topics in political philosophy can be applied in practical ways.
20 credits - Theory of Knowledge
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The aim of the course is to provide an introduction to philosophical issues surrounding the knowledge. We will be concerned with the nature and extent of knowledge. How must a believer be related to the world in order to know that something is the case? Can knowledge be analysed in terms of more basic notions? Must our beliefs be structured in a certain way if they are to be knowledge? In considering these questions we will look at various sceptical arguments that suggest that the extent of knowledge is much less than we suppose. And we will look at the various faculties of knowledge: perception, memory, introspection, and testimony.
20 credits - Feminism
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Feminists have famously claimed that the personal is political. This module takes up various topics with that methodological idea in mind: the family, cultural critique, language. We examine feminist methodologies - how these topics might be addressed by a feminism that is inclusive of all women - and also turn attention to social structures within which personal choices are made - capitalism, and climate crisis .
20 credits - The Rationalists
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This module is an introduction to the major works of Descartes, Spinoza, Leibniz, and Kant. Their work is both fascinating in itself and enormously influential today. The emphasis will be on topics in metaphysics and epistemology, such as whether there is a god, whether you and I are material or immaterial, whether the physical or even the mental world is real or apparent, whether anything could have been otherwise than it is, and what it is possible to know. Readings will be mainly from primary sources. Discussion will focus on philosophical problems rather than on historical context.
20 credits - Philosophy of Education
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What is education? And what is it for? These are the questions at the heart of this course. To begin to try to answer them, students will engage in: (1) a theoretical exploration of the central philosophical problems related to education and schooling; and (2) a practical task focusing on learning how philosophy can be taught effectively to secondary school pupils. The theoretical exploration will be taught in a similar way to other philosophy modules (through a weekly lecture and seminar) and a mid-term coursework essay will assess this component (counting for 50% of the module grade).
20 credits
The practical element will be taught through workshops, engagement with reflective practice, observations at a secondary school, and actual experience of running seminars with secondary school pupils at the University during a three-day conference at the end of the course. The practical part of the course will be assessed by a teaching portfolio (which counts for 50% of the module grade) composed of lesson plans and a reflection. Teaching is a special kind of challenge, but students on the course are not expected to have any previous experience in teaching or in planning lessons. Help and support will be provided throughout the module to make the delivery of lessons to secondary school pupils a realistic goal for all motivated students.
- Bioethics
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Bioethics arose in response to the moral challenges thrown up by technological advances of the twentieth century. As we move through the 21st century, new moral problems are emerging, even as old one still concern us.
20 credits
How should we allocate resource for medical care and research? Are there limits to what can be done to our bodies, or does consent permit everything? In a pandemic, 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?
This module will introduce a range of practical bioethical problems, as well as some methods for approaching them. Our emphasis will be on doing philosophy practically, with a view to the implications of philosophical argument in the real world of healthcare, research and bioscience. - Plato
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The philosopher and mathematician A. N. Whitehead once characterised western thought as a series of footnotes to Plato. The thought of Plato and his teacher Socrates, who both lived in Greece around 400 years before the start of the Christian era, set the agenda for much subsequent philosophy and did much to define our ideas of what philosophy is. This course will introduce students to the study of the philosophy of Plato through a close and critical study of a small number of his dialogues in English translation.
20 credits
Core modules:
- Particle Physics
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This Level 3 Physics half module introduces students to the exciting field of modern particle physics. It provides the mathematical tools of relativistic kinematics, enabling them to study interactions and decays and evaluate scattering form factors. Particles are classified as fermions - the constituents of matter (quarks and leptons) - or as bosons, the propagators of field. The four fundamental interactions are outlined. Three are studied in detail: Feynman diagrams are introduced to describe higher order quantum electrodynamics; weak interactions are discussed from beta decay to high energy electroweak unification; strong interactions, binding quarks into hadrons, are presented with the experimental evidence for colour. The role symmetry plays in the allowed particles and their interactions is emphasised.
10 credits - Problem Solving in Physics
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This module is a 'big picture' look at physics problem solving. The module develops techniques for solving unfamiliar problems in physics using mathematical and statistical methods.
10 credits
This module is split into two halves: Statistics and data analysis (S1), and Physics Problem Solving (S2).
Statistics covers the basics of Frequentist vs. Baysian approaches and data analysis, and applies them to data analysis tasks from a wide range of physics. It also looks at common statistical mistakes and fallacies and examines how to present data graphically and in writing.
Physics Problem Solving uses weekly problems classes to examine how physics knowledge can be applied to unfamiliar (often 'real world') problems to obtain quick, rough, but sound and useful conclusions/answers (often known as the 'back of the envelope' approach to problem solving). Problems cover the full range of core physics, requiring identification of which aspect of physics is relevant to a particular problem.
Optional physics modules:
A student will take 10 credits (one module) from this group.
- Atomic and Laser Physics
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This module covers the physics of atoms and lasers at an intermediate level. The course begins with the solution of the Schrodinger equation for the hydrogen atom and the atomic wave functions that emerge from it. It then covers atomic selection rules, spectral fine structure and the effects of external fields. The spectra of selected multi-electron atoms are described. The basic operation of the laser is then covered by introducing the concepts of stimulated emission and population inversion. The course concludes with a description of common lasers and their applications.
10 credits - Solid State Physics
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Covering the electronic properties of solids, this module details the classification of solids into conductors, semiconductors and insulators, the free electron model, the origin of electronic band structure, the fundamental electronic properties of conductors and semiconductors, carrier statistics, experimental techniques used to study carriers in a solid, and the classification and physics of the principal types of magnetism.
10 credits
Optional project modules:
A student will take 20 credits (one module) from this group.
- Research project in Physics or Astronomy
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The aim of this 20 credit module is to provide an opportunity for students to exercise and develop their skills and ability to undertake independent, albeit closely supervised, research in physics or astronomy. A very wide selection of projects is provided, often arising from current research in the Department. Many are practical, others are essentially theoretical or interpretative or require the development of and running of computer programmes designed to simulate a variety of physical phenomena. Most projects are collaborative and encourage students to work in pairs. Assessment is based on individual written reports and oral examinations. These provide exercise in presentational skills.
20 credits - Industrial Group Project in Physics
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PHY346 provides students with an industrial project where team working, planning, time management; presentation and report writing are integrated with science problem solving. The industrial client poses a problem that a group work on over two semesters to resolve. Interim and final presentations are made to the client and academic supervisors. Project work may use laboratory measurement and computational approaches as well as referencing leading research literature.
20 credits - Quantum Information Laboratory
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This predominantly laboratory-based module provides a foundation in quantum optics experiments and associated theory. The quantum nature of light will be studied in core experiments involving single photon generation and detection, measurements of photon statistics and photon interference. Experimental activities will be supported by a series of lectures and problems classes. The link with quantum information research is made through research seminars from university research groups and companies, plus a 'journal club' where key scientific papers are presented and discussed. Transferable skills acquired will prepare students for higher study and employment in industries involving quantum technologies.
20 credits - Physics Education and Outreach
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This 20-credit Extended Project unit is intended primarily for students considering a career in teaching, but may also be of interest to those wishing to pursue careers in science communication in general. The first half of the unit will introduce a range of topics including theory of learning and teaching, skills such as video editing, physics in the National Curriculum, and a range of hands-on exercises in science teaching and communication. Students will undertake a range of assignments related to the taught material, which may include lesson observations in schools, making videos or podcasts, radio broadcasts, writing popular articles or creating resources for schools. The second half consists of a 10-credit project: a wide range of schools and outreach-related topics are available.
20 credits
Note that admission to this unit is subject to an interview and a DBS check. This is because parts of the unit require students to visit schools and interact with pupils.
Optional physics modules:
A student will take 10 credits (one module) from this group.
- History of Astronomy
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The module aims to provide an introduction to the historical development of modern astronomy. After a brief chronological overview and a discussion of the scientific status of astronomy and the philosophy of science in general, the course is divided into a series of thematic topics addressed in roughly chronological order. We will focus on the nature of discovery in astronomy, in particular the interplay between theory and observation, the role of technological advances, and the relationship between astronomy and physics.
10 credits - Dark Matter and the Universe
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This course aims to provide students with an understanding of Dark Matter in the Universe from both the astrophysics and particle physics viewpoints. This course is split into two halves. The first half of the course is on the astrophysical evidence for Dark Matter, and the second half of the course is on the detection of candidate Dark Matter particles. The main teaching method is the standard 50-minute lecture, which is well suited to the delivery of the factual information in this course. This is backed up by a blackboard site containing copies of the lecture notes, lecture recordings, and non-assessed exercises.
10 credits
The syllabus will include the astrophysical evidence for dark matter in the Universe, the search for dark matter candidates, including direct and indirect searches for Weakly Interacting Massive Particles (WIMPs), the search for supersymmetry at the Large Hadron Collider, and axion searches. - Introduction to Soft Matter and Biological Physics
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Soft matter includes materials with properties between those of solids and liquids, for example plastics, gels, soaps, foods, biological cells and tissues. The behaviour of these complex materials depends on elegant physical principles determining the interactions within and between molecules. Using these physical principles we will explore molecules essential to life, such as proteins and DNA, and materials key to technology, such as polymers.We will start by defining what is soft matter by considering states of matter and the relevant length, time and energy scales. Next we will describe the important intramolecular and intermolecular interactions. Statistical mechanics models will enable us to predict bulk properties from molecular parameters. We will introduce experimental measurements and imaging techniques that are used to investigate soft matter and biological systems. We will introduce polymers and key properties of polymers such as viscoelasticity. We will introduce essential biopolymers including DNA and proteins.
10 credits
We will provide an introduction to systems of interest, for example polymer materials, colloids, liquid crystals or membranes and discuss their properties and assembly. - Nuclear Physics
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This half-module Level 3 Physics course aims to study the general properties of nuclei, to examine the characteristics of the nuclear force, to introduce the principal models of the nucleus, to discuss radioactivity, to study nuclear reactions, in particular fission and fusion, and to develop problem solving skills in all these areas. The motivation is that nuclear processes play a fundamental role in the physical world, in the origin of the universe, in the creation of the chemical elements, as the energy source of the stars and in the basic constituents of matter - plus the best of all motives - curiosity.
10 credits - Introduction to Cosmology
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Cosmology is the science of the whole Universe: its past history, present structure and future evolution. In this module we discuss how our understanding of cosmology has developed over time, and study the observed properties of the universe, particularly the rate of expansion, the chemical composition, and the nature of the cosmic microwave background, can be used to constrain theoretical models and obtain value for the parameters of the now-standard Hot Big Bang cosmological model.
10 credits - Physical Computing
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Digital circuits underpin our modern lives, including the acquisition and processing of data for science. In this course we will study the fundamental building blocks of digital processing circuits and computers. We will learn to describe circuits using the language VHDL, and how to program computers using the hardware-oriented high level language C. We will build interesting and useful digital architectures, and apply the skills we have acquired in laboratory exercises.
10 credits - Astrobiology
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Is anybody out there? In this module we explore how we hope to find alien life in the near future and discuss what this might be like and where we should be looking. We critically examine ideas about the frequency of life, advanced life, and technological civilisations in the universe.
10 credits
- Mathematical Physics
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Linear algebra: matrices and vectors; eigenvalue problems; matrix diagonalisation; vector spaces; transformation of basis; rotation matrices; tensors; Lie groups; Noether's theorem. Complex analysis: analytic functions; contour integration; Cauchy theorem; Taylor and Laurent series; residue theorem; application to evaluating integrals; Kronig-Kramers relations; conformal mapping; application to solving Laplace's equation.
10 credits - Advanced Programming in Python
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Python is a widely-available programming language that can be used to design powerful computer programmes suitable for scientific applications. Python is also used widely in the computing industry and in research. This module builds on the basic introduction provided in PHY235/PHY241 by introducing advanced concepts such as defensive programming, classes, program design and optimisation. This teaching will be underpinned with a series of projects which will furnish the students with the ability to design complex Python scripts to address a wide variety of problems including those involving analysis of 'big data with emphasis on presentation of results using advanced visualisation methods.
10 credits - Statistical Physics
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Statistical Physics is the derivation of the thermal properties of matter using the under-lying microscopic Hamiltonians. The aims of this course are to introduce the techniques of Statistical Mechanics, and to use them to describe a wide variety of phenomena from physics, chemistry and astronomy.
10 credits - Physics in an Enterprise Culture
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This is a seminar and workshop based course where students will create a proposal for a new business. Seminars will cover topics such as innovation, intellectual property, costing and business planning. Workshops will support students to develop ideas and communicate them effectively. This module gives students an opportunity to develop a business proposal, using their physics knowledge as a starting point. The module starts with a series of seminars and workshops designed to help students come up with possible new ideas for products or services that they are interested in developing further. Further seminars formalise how business ideas are tested to ensure that basic assumptions about customers and markets are sensible and also guidance is given in terms of how to estimate the costs and revenues associated with the idea. Finally seminars to support writing the idea into a proposal are given. Evaluation of ideas using peer feedback is a key part of the module and midway through a review panel is organised to give an opportunity for students to formally evaluate other ideas to help them develop their own.
10 credits - Semiconductor Physics and Technology
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This module builds on the core solid state physics modules to provide an introduction to semiconductor electronic and opto-electronic devices and modern developments in crystal growth to produce low dimensional semiconductor structures (quantum wells, wires and dots). Band structure engineering, the main physical properties and a number of applications of low dimensional semiconductor structures are covered.
10 credits - Origin of the Chemical Elements
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This course looks at the origin, distribution and evolution of the chemical elements, which are created in the early Universe, during the life cycles of stars and in the interstellar medium.The main teaching method is the standard 50-minute lecture, which is well suited to the delivery of the factual information in this course. This is backed up by a blackboard site containing copies of the lecture notes, lecture recordings, and non-assessed exercises. Syllabus includes topics such as: Experimental evidence for elemental abundances; Observational evidence for elemental abundances; Primordial nucleosynthesis; Stellar nucleosynthesis; Neutron capture Supernovae and kilonovae; Cosmic rays.
10 credits
Optional philosophy modules:
A student will take up to 60 credits (three modules) from this group.
- Bodies and Souls
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Descartes is famous for his view that all mental activity takes place in an immaterial substance, so that what we call a human being is really two things: a thinking soul and an unthinking body. Aristotle thought that every living thing, whether conscious or not, was a compound of matter and form, and he called this form a 'soul'. This view, 'hylomorphism', dominated European philosophy throughout the middle ages. Both views are currently the subject of renewed interest. This module will examine them from a contemporary perspective.
20 credits - Ancient Chinese Philosophy
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This course will introduce students to ancient Chinese Philosophy through a study of some of it classical texts.
20 credits - Advanced Political Philosophy
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This module will investigate a broad range of topics and issues in political philosophy and explore these questions in some detail. It will include both historical and foundational matters and recent state of the art research.
20 credits - Topics in Social Philosophy
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This module will introduce students to some contemporary issues in social philosophy.
20 credits - Global Justice
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What are the demands of justice at the global level? On this module we will examine this question from the perspective of analytic Anglo-American political philosophy. We will start by looking at some debates about the nature of global justice, such as whether justice demands the eradication of global inequalities. We will then turn to various questions of justice that arise at the global level, potentially including: how jurisdiction over territory might be justified; whether states have a right to exclude would-be immigrants; whether reparations are owed for past international injustices such as colonialism; and how to identify responsibilities for combatting global injustice.
20 credits - Dissertation Project 1
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A variety of topics including an independent choice will be set For each topic, a short list of key readings is provided. Having chosen a topic, students are expected to master the readings, and then supplement them with at least two other pieces of relevant literature having used the available library and web resources to research. They then, having agreed a title with a supervisor assigned to them for the module, write an extended essay that identifies the central issue (or issues) under discussion, relates the various responses to that issue found in the literature, evaluates those contributions, and goes some way to identifying a satisfactory resolution of the issue.
20 credits - Free Will & Religion
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This module focuses on philosophical questions about the relationship between free will and theistic religions. It has often been claimed that adherents of these religions have significant motivations to affirm an incompatibilist conception of free will according to which free will is incompatible with determinism. Incompatibilist conceptions of free will, it has been argued, have benefits for the theist such as enabling them to better account for the existence of moral evil, natural evil, divine hiddenness, and traditional conceptions of hell. Yet, on the other hand, it has been argued that there is a significant tension between theistic religions and incompatibilist conceptions of free will. For example, there are tempting arguments that an incompatibilist conception of free will makes trouble for affirming traditional views about God's omniscience, freedom, and providence. We will engage in a critical examination of these and related arguments.
20 credits - Work Place Learning
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This module involves a work placement of 35-70 hours with a local organisation (voluntary or commercial sector). You will experience firsthand the practical challenges and problems facing the organisation. You will learn about the organisation's overall aims, and the various methods and strategies employed to accomplish those aims. You will draw on the concepts and theoretical frameworks studied in your other philosophy modules to identify a philosophical issue relevant to the organisation's work or goals, and to write a piece or pieces of coursework addressing that issue; or you will be able to use the skills and knowledge you have gained in your other philosophy modules to analyse a problem of philosophical interest faced by the organisation or encountered in the course of your employment. You will have two meetings together with other students in the module to discuss your work placement and formulate ideas for your written coursework. You will have a further individual meeting with the module convener or an appropriate supervisor from the Department of Philosophy to discuss the progression of the coursework.
20 credits
At the end of the module, you should have:
the ability to apply ideas from your other philosophy modules in rigorously assessing the challenges facing organisations like the one you worked for, and interrogating potential solutions to them
insight into the practical application of theoretical issues in philosophy
practical experience that will make you a strong candidate for jobs in the sector you worked in. - Ethics and Belief
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We know things as individuals, but we also know things collectively. And what we know individually can depend on our relation to other knowers and collective knowledge. These relations are not merely epistemic, they are also practical and ethical. Knowledge can, for instance, be based on trust, while a failure to recognize someone as a knower can be a matter of injustice. Knowledge thereby has a social character and an ethical dimension. This course will introduce a broad range of topics in epistemology that explore this social and ethical turn.
20 credits - Phenomenology
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This module introduces students to Phenomenology - a philosophical tradition in continental European philosophy, which is closely related to Existentialism. Phenomenology seeks to understand the human condition. Its starting-point is everyday experience, where this includes both mundane and less ordinary forms of experience such as those typically associated with conditions such as schizophrenia. Whilst Phenomenology encompasses a diverse range of thinkers and ideas, there tends to be a focus on consciousness as embodied, situated in a particular physical, social, and cultural environment, essentially related to other people, and existing in time. (This is in contrast to the disembodied, universal, and isolated notion of the subject that comes largely from the Cartesian tradition.) There is a corresponding emphasis on the world we inhabit as a distinctively human environment that depends in certain ways on us for its character and existence. Some of the central topics addressed by Phenomenology include: embodiment; ageing and death; the lived experience of oppression; human freedom; our relations with and knowledge of, other people; the experience of time; and the nature of the world. In this module, we will discuss a selection of these and related topics, examining them through the work of key figures in the Phenomenological Movement, such as Edmund Husserl, Simone de Beauvoir, Maurice Merleau-Ponty, Frantz Fanon, and Edith Stein.
20 credits - Philosophical Problems 1
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The detailed content of this course will vary from year to year depending upon the member of staff teaching it. For details contact the Department of Philosophy.
20 credits - Dissertation Project 2
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A variety of topics including an independent choice will be set For each topic, a short list of key readings is provided. Having chosen a topic, students are expected to master the readings, and then supplement them with at least two other pieces of relevant literature and they havehaving used the available library and web resources to uncoverresearch. They then, having agreed a title with a supervisortutor assigned to them for the module, write an extended essay that identifies the central issue (or issues) under discussion, relates the various responses to that issue found in the literature, evaluates those contributions, and goes some way to identifying a satisfactory resolution of the issue.
20 credits - Philosophy of Law
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Law is a pervasive feature of modern societies and governs most aspects of our lives. This module is about some of the philosophical questions raised by life under a legal system. The first part of the module investigates the nature of law. Is law simply a method of social control? For example, the group calling itself Islamic State issued commands over a defined territory and backed up these commands with deadly force. Was that a legal system? Or is law necessarily concerned with justice? Do legal systems contain only rules or do they also contain underlying principles? Is 'international law' really law?
20 credits
The second part of the module investigates the relationship between law and individual rights. What kinds of laws should we have? Do we have the moral right to break the law through acts of civil disobedience? What is the justification of punishment? Is there any justification for capital punishment? Are we right to legally differentiate between intended crimes (like murder) and unintended crimes (like manslaughter), or does this involve the unjustified punishment of 'thought crime'? Are we right to legally differentiate between murder and attempted murder, despite the fact that both crimes involve the same intent to kill?
- Plato's Symposium
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The Symposium is a vivid, funny and moving dramatic dialogue in which a wide variety of characters - orators, doctor, comic poet, tragic poet, soldier-cum-statesman, philosopher and others - give widely differing accounts of the nature or erotic love (eros) at a banquet. Students should be willing to engage in close textual study, although no previous knowledge of either ancient philosophy or ancient Greek is required. We will be exploring the origins, definition, aims, objects and effects or eros, and asking whether it is viewed as a predominantly beneficial or harmful force. Are some manifestations or eros better than others? Is re-channelling either possible or desirable, and if so, how and in what contexts? What happens to eros if it is consummated? We will in addition explore the issues that the dialogue raises about relations between philosophy and literature, and the influence it has had on Western thought (e.g. Freud). The edition we will use is Rowe, C . J., 1998, Plato Symposium. Oxford: Aris and Phillips Classical texts.
20 credits - Pain, Pleasure, and Emotions
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Affective states like pain, pleasure, and emotions have a profound bearing on the meaning and quality of our lives. Chronic pain can be completely disabling, while insensitivity to pain can be fatal. Analogously, a life without pleasure looks like a life of boredom, but excessive pleasure seeking can disrupt decision-making. In this module, we will explore recent advances in the study of the affective mind, by considering theoretical work in the philosophy of mind as well as empirical research in affective cognitive science. These are some of the problems that we will explore: Why does pain feel bad? What is the relation between pleasure and happiness? Are emotions cognitive states? Are moral judgments based on emotions? Can we know what other people are feeling?
20 credits - Moral Theory and Moral Psychology
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This course examines the relationship of moral theory and moral psychology. We discuss the relationship of science and ethics, examine the nature of self-interest, altruism, sympathy, the will, and moral intuitions, explore psychological arguments for and against familiar moral theories including utilitarianism, virtue ethics, deontology and relativism, and confront the proposal that understanding the origins of moral thought 'debunks' the authority of ethics. In doing so, we will engage with readings from historical philosophers, including Hobbes, Butler, Hume, Smith, Kant, Mill, Nietzsche and Moore, as well as contemporary authors in philosophy and empirical psychology.
20 credits - The Science of Consciousness
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Consciousness is at once both something incredibly familiar and something utterly mysterious. Consciousness seems to be a subjective phenomenon to which we have a privileged first-person access Yet, this very subjective nature of consciousness makes it hard, if not impossible, to scientifically study. In this module we'll look at recent developments in the study of consciousness from across the cognitive sciences (including philosophy, psychology, neuroscience, and biology). This module will also serve as an introduction to some core issues in the philosophical foundations of cognitive science.In the first part of the module, we will look at various theories of consciousness from across different disciplines. In the second part of the module, we'll look at specific methodological issues that arise in studying consciousness in human and non-human animals.This is an interdisciplinary module. Understanding how the mind is structured is a complex project. In order to make progress we need to appeal to both empirical and philosophical work (and work that blurs this distinction). We'll read scientific and philosophical papers; however, no prior knowledge of cognitive science (or neuroscience) will be presumed.
20 credits - Ethical Scepticism
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The module will explore the historical roots as well as contemporary forms of ethical scepticism. We will distinguish different reasons for scepticism and the variety of practical conclusions drawn by sceptics. We will analyse the arguments for scepticism and assess their soundness. We will also consider several replies to the sceptic and assess how successful these replies are
20 credits
Core module:
- Research project
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Students will undertake a supervised research project during the whole of the 4th year of an MPhys degree, applying their scientific knowledge to a range of research problems experimental and/or theoretical projects spanning the research expertise of the Department. Along with applying their knowledge, students will manage their project, ensuring that they develop skills in time management, project planning, scientific record keeping, information retrieval and analysis from scientific and other technical information sources.
60 credits
Optional modules:
A student will take 60 credits (four modules) from this group.
- History of Astronomy
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Astronomy is at once the oldest of the exact sciences, having been practised by most ancient civilisations, and one of the youngest: modern astronomy, with its focus on the physics of astronomical objects, is only a century old. In this course we will study how astronomy developed from a simple awareness of the phases of the Moon and the existence of the planets to its present position as a major branch of physics. Although the heritage of modern astronomy is largely from the eastern Mediterranean and Mesopotamia, we will also look at astronomy as it was practised in other cultures, particularly India, China and Mesoamerica.
15 credits
This unit aims to provide an introduction to the historical development of modern astronomy, with a focus on the nature of discovery in astronomy, the interplay between theory and observation, the role of technological advances, and the relationship between astronomy and physics. The course is divided into a series of thematic topics arranged in approximate chronological order, prefaced by a brief introduction to philosophy of science. In contrast to the BSc version, this unit also has a focus on non-Western astronomy, with students required to research and write a report on some aspect of the history of astronomy outside the Mediterranean/Mesopotamian area.
The unit is taught by a combination of lectures and written course resources for the main thread, with students expected to research their report on non-Western astronomy independently, in line with expectations for students at masters level ('holders will have the independent learning ability required for continuing professional development'). - The Development of Particle Physics
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The module describes the development of several crucial concepts in particle physics, emphasising the role and significance of experiments. Students are encouraged to work from the original literature. The module focuses not only on the particle physics issues involved, but also on research methodology - the design of experiments, the critical interpretation of data, the role of theory, etc. Topics covered include the discoveries of the neutron, the positron and the neutrino, the parity and CP violations, experimental evidence for quarks and gluons, etc.
15 credits - Star Formation and Evolution
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The module will cover advanced astrophysics topics including observations and theory of star and planet formation, plus the evolution of low, intermediate and high mass stars, close binary evolution and end states (white dwarfs, neutron stars, black holes) plus astrophysical transients originating from stars (novae, supernovae, gamma ray bursts) and their chemical and mechanical feedback on galaxies.
15 credits - Dark Matter and the Universe
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This course aims to provide students with an understanding of Dark Matter in the Universe from both the astrophysics and particle physics viewpoints. This course is split into two halves. The first half of the course is on the astrophysical evidence for Dark Matter, and the second half of the course is on the detection of candidate Dark Matter particles.
15 credits - Advanced Quantum Mechanics
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Quantum mechanics at an intermediate to advanced level, including the mathematical vector space formalism, approximate methods, angular momentum, and some contemporary topics such as entanglement, density matrices and open quantum systems. We will study topics in quantum mechanics at an intermediate to advanced level, bridging the gap between the physics core and graduate level material. The syllabus includes a formal mathematical description in the language of vector spaces; the description of the quantum state in Schrodinger and Heisenberg pictures, and using density operators to represent mixed states; approximate methods: perturbation theory, variational method and time-dependent perturbation theory; the theory of angular momentum and spin; the treatment of identical particles; entanglement; open quantum systems and decoherence. The problem solving will provide a lot of practice at using vector and matrix methods and operator algebra techniques. The teaching will take the form of traditional lectures plus weekly problem classes where you will be provided with support and feedback on your attempts.
15 credits - Advanced Soft Matter and Biological Physics
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Fascinating behaviour of soft matter and biological systems often occurs at thermal energy scales and can be described by statistical mechanical models. In addition, living biological matter is driven out of equilibrium due to internal biochemical sources of energy. Mathematical models and modern advanced experimental techniques are revealing the physical principles underpinning the biological world and the technological possibilities of complex soft materials.Much recent progress in soft matter and biology has been made thanks to the advent of advanced experimental techniques which we will show are based on elegant physical principles. We will also study the physical principles underpinning the behaviour of complex soft matter and biological materials. We will describe phase transitions in multiple soft matter systems by calculating free energies. We will use random walk models to describe the shape of polymer molecules and the Brownian motion of colloids. We will also study the dynamics of polymers and the kinetics of polymerisation. We will then consider how polymerisation of protein filaments and action of molecular motors can generate forces in biological cells. This will involve us introducing concepts of systems that are in equilibrium versus out of equilibrium. Using a mathematical framework we can describe behaviour at different length scales for example from the cytoskeleton to tissues, bacteria colonies and flocking. We will also investigate how the energy required for life is captured in photosynthesis.
15 credits - Optical Properties of Solids
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The course covers the optical physics of solid-state materials. The optical properties of insulators, semiconductors, and metals from near-infrared to ultraviolet frequencies are considered, covering both established technologies and the latest developments in photonics. The infrared properties of materials are then discussed, and the course concludes with an introduction to nonlinear crystals. The module will be taught via lectures and problem classes.
15 credits
The course first develops the classical model of absorption and refraction based on Lorentz oscillators, and then discusses the use of quantum theory to understand the absorption and emission spectra. The optical properties in state-of-the-art materials are discussed in the context of photonics research and applications. The topics covered include:
Dispersion in optical materials, including optical fibres,
Interband absorption,
Excitons,
Luminescence,
Low-dimensional materials,
Free carrier effects,
Phonon effects,
Nonlinear crystals. - An Introduction to General Relativity
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A course on Einstein's theory of gravity. We start with the principle of equivalence, then move on to tensors. We motivate and then write down Einstein's equations. We use Schwarzschild black holes, Friedmann Robertson Walker cosmology and gravitational waves as examples. Einstein invented general relativity in 1915. The theory makes a link between geometry and the presence of energy and matter. This is expressed in the principle of equivalence, which we introduce and discuss. General relativity calls for a sophisticated mathematics called differential geometry, for which an important tool set is tensors and tensor components. We spend about the first half of the course learning about this, and using the formalism to write down Einstein's equations. We then study solutions that have been found to correspond to black holes without spin or charge, the Friedmann Robertson Walker cosmology thought to provide a useful description of the large-scale structure of the Universe, and gravitational waves that were first detected by the LIGO experiment in 2015. The course has no formal prerequisites, but it is very mathematical. Familiarity with special relativity will be helpful, but is not required.
15 credits - Physics in an Enterprise Culture
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This is a seminar and workshop based course where students will create a proposal for a new business. Seminars will cover topics such as innovation, intellectual property, costing and business planning. Workshops will support students to develop ideas and communicate them effectively. Both a business proposal and a pitch to investors are assessed. This modules give students an opportunity to develop a business proposal, using their physics knowledge as a starting point. The module starts with a series of seminars and workshops designed to help students come up with possible new ideas for products or services that they are interested in developing further. Further seminars formalise how business ideas are tested to ensure that basic assumptions about customers and markets are sensible and also guidance is given in terms of how to estimate the costs and revenues associated with the idea. Finally seminars to support writing the idea into a proposal are given. Evaluation of ideas using peer feedback is a key part of the module and midway through, a review panel is organised to give an opportunity for students to formally evaluate other ideas to help them develop their own.
15 credits - Astrobiology
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Does other life exist, what might it be like, and how could we find it? In this course we examine how planets are found, and what we know about them. We consider what we know about 'life' looking at what we know about the processes, origin, and evolution of life on Earth and how life has changed the planet. This leads us to ideas about how to look for alien life and to think about what that life might be like. We finish by discussing the possibilities of intelligent technological civilisations, and the future of the human race.
15 credits - Advanced Particle Physics
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The module provides students with a comprehensive understanding of modern particle physics. Focusing on the standard model, it provides a theoretical underpinning of this model and discusses its predictions. Recent developments including the discovery of the Higgs Boson and neutrino oscillation studies are covered. A description of the experiments used to probe the standard model is provided. Finally the module looks at possible physics beyond the standard model.
15 credits - Advanced Electrodynamics
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This module gives a detailed mathematical foundation for modern electrodynamics, starting from Maxwell's equations, charge conservation and the wave equation, to gauge invariance, waveguides, cavities and antennas, and an introduction to quantum electrodynamics. After a brief recap of vector calculus, we explore the role of the scalar and vector potential, the multi-pole expansion of the field, the Poisson and Laplace equations, energy and momentum conservation of the fields, and waveguides and cavities. After a relativistic treatment of the fields we consider the quantisation of the electromagnetic field modes, the Hamiltonian for the dipole coupling between a field and a radiation emitter, and finally we explore the Aharonov-Bohm effect.
15 credits - Semiconductor Physics and Technology
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This module builds on the core solid state physics modules to provide an introduction to semiconductor electronic and opto-electronic devices and modern developments in crystal growth to produce low dimensional semiconductor structures (quantum wells, wires, dots and atomically thin two-dimensional materials). Band structure engineering, the main physical properties and a number of applications of low dimensional semiconductor structures are covered. The modules concludes with some examples of recent advances in the field, such as new epitaxial techniques and atomically thin two-dimensional materials.
15 credits - Galaxy Formation and Evolution
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This module will cover one of the most exciting and fast moving topics in current astrophysics research, the formation and evolution of galaxies, from an observational perspective. Starting with a brief historical introduction, the module will then summarise what we can learn about galaxy evolution from studies of galaxies in the local Universe, before discussing the results obtained from recent deep field observations of the high redshift Universe. The last part of the module will concern the important role that active galactic nuclei play in galaxy evolution. Through a series of 18 lectures students will learn the main types of galaxies together with how we currently understand them to have formed and evolved. A key aspect of the module is how astronomers construct theories of galaxy evolution through observations and computer models, with a particular focus on how astronomers convert measured flux into physical properties such as mass and rates of star formation. The latter third of the module focuses on the growth of supermassive black holes and the role we believe that this has had on the formation and evolution of galaxies.
15 credits - Introduction to Cosmology
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The aim of this course is to provide students with an understanding of the Universe as its own entity. Students will learn how the contents of the Universe affect its dynamic evolution, and how we can use observations of Type 1a Supernovae and the Cosmic Microwave Background to constrain the properties of the Universe. Students will also learn about key epochs during the history of the Universe, from inflation through to nucleosynthesis, recombination, and reionisation, before learning how the first stars and galaxies started to form. Throughout a series of lectures, students will first learn that spacetime forms the fabric of the Universe, and how the contents of the Universe in the form of dark energy, dark and baryonic matter, and radiation dictate the dynamic evolution of the Universe. Students will next learn about modern precision cosmology, whereby cosmologists use observations of Type 1a Supernovae and the Cosmic Microwave Background to measure various cosmological parameters. This aspect of the course will form the basis of a computer programming-based assessment. Toward the end of the lecture course, students will learn about the epochs of inflation, nucleosynthesis, recombination and reionisation, before learning how today's stars and galaxies began to form. Finally, students will learn about current cosmological research via a literature review.
15 credits - Quantum Optics and Quantum Computing
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Quantum computing is introduced through the fundamental concepts of quantum gates and circuits before moving to cover more advanced topics such as quantum programming, quantum algorithms and quantum error correction. These concepts are then applied by studying how programming quantum circuits can be done using cloud computers (e.g. using openQASM format) and the implementation of quantum algorithms (including examples) and quantum error correction using stabiliser formalism and graph states and quantum error correction codes.
15 credits
The second part of the module covers quantum optics and quantum optical applications at the forefront of current research in the field. This includes topics such as weak and strong coupling of dipole sources in a cavity, single photon sources, protocols of quantum optical communications and linear optics computation. The module then progresses to quantum optical applications. Cavity electrodynamics is studied in the regimes of strong and weak coupling of matter excitations to the electromagnetic field in optical microstructures. This will lead to the physics of highly efficient single photon devices necessary for linear optics quantum computation. The effects of entanglement and quantum teleportation will be also considered.
The content of our courses is reviewed annually to make sure it's up-to-date and relevant. Individual modules are occasionally updated or withdrawn. This is in response to discoveries through our world-leading research; funding changes; professional accreditation requirements; student or employer feedback; outcomes of reviews; and variations in staff or student numbers. In the event of any change we'll consult and inform students in good time and take reasonable steps to minimise disruption.
Learning and assessment
Learning
You'll learn through lectures, small group tutorials and seminars, programming classes, practical sessions in the lab and research projects.
Assessment
You will be assessed through a portfolio of problem sets, lab work and other material, as well as exams, essays, lab reports and presentations.
Programme specification
This tells you the aims and learning outcomes of this course and how these will be achieved and assessed.
Entry requirements
With Access Sheffield, you could qualify for additional consideration or an alternative offer - find out if you're eligible.
The A Level entry requirements for this course are:
AAA
including Maths and Physics + pass in the practical element of any science A Levels taken
- A Levels + a fourth Level 3 qualification
- AAB including AA in Maths and Physics + A in a relevant EPQ
- International Baccalaureate
- 36 with 6 in Higher Level Maths and Physics
- BTEC Extended Diploma
- Not accepted
- BTEC Diploma
- Not accepted
- Scottish Highers + 2 Advanced Highers
- AAABB + AA in Maths and Physics
- Welsh Baccalaureate + 2 A Levels
- A + AA in Maths and Physics
- Access to HE Diploma
- Award of Access to HE Diploma in Science, with 45 credits at Level 3, including 39 at Distinction (all in Maths/Physics units), and 6 at Merit
The A Level entry requirements for this course are:
AAB
including Maths and Physics + pass in the practical element of any science A Levels taken
- A Levels + a fourth Level 3 qualification
- AAB including AA in Maths and Physics + A in a relevant EPQ
- International Baccalaureate
- 34 with 6, 5 (in any order) in Higher Level Maths and Physics
- BTEC Extended Diploma
- Not accepted
- BTEC Diploma
- Not accepted
- Scottish Highers + 2 Advanced Highers
- AABBB + AB in Maths and Physics
- Welsh Baccalaureate + 2 A Levels
- B + AA in Maths and Physics
- Access to HE Diploma
- Award of Access to HE Diploma in Science, with 45 credits at Level 3, including 36 at Distinction (all in Maths/Physics units), and 9 at Merit
You must demonstrate that your English is good enough for you to successfully complete your course. For this course we require: GCSE English Language at grade 4/C; IELTS grade of 6.5 with a minimum of 6.0 in each component; or an alternative acceptable English language qualification
Equivalent English language qualifications
Visa and immigration requirements
Other qualifications | UK and EU/international
If you have any questions about entry requirements, please contact the school/department.
Graduate careers
School of Mathematical and Physical Sciences
Our physics students develop numerical, problem solving and data analysis skills that are useful in many graduate jobs, including computer programming, software engineering, data science, and research and development into new products and services. Their expertise can be applied to many of the challenges and opportunities of the 21st century, from developing renewable energy technologies and improving medical treatments to creating quantum telecommunications systems and exploring outer space.
Students who want to work as a physics researcher often do a PhD, which can lead to a career at a top university or a major international research facility such as CERN.
The University of Sheffield is part of the White Rose Industrial Physics Academy. This partnership of university physics departments and technical industries can set up collaborations between our students and industrial partners through internships, year in industry placements, final year projects and careers activities. WRIPA also organises the UK’s largest physics recruitment fair, where our students can meet potential employers.
School of History, Philosophy and Digital Humanities
Studying philosophy will develop your ability to analyse and state a case clearly, evaluate arguments and be precise in your thinking. These skills will put you in a strong position when it comes to finding employment or going on to further study.
Our graduates work in teaching, law, social work, computing, the civil service, journalism, paid charity work, business, insurance and accountancy. Many also go on to study philosophy at postgraduate level.
School of Mathematical and Physical Sciences
Research Excellence Framework 2021
The School of Mathematical and Physical Sciences is leading the way with groundbreaking research and innovative teaching. We provide our students with the skills and knowledge to support them in a wide range of careers.
Physics courses at the University of Sheffield are focused on some of the biggest questions in science, such as how to build a quantum computer, how to detect dark matter and how to distribute clean energy. Our lecturers run experiments on the Large Hadron Collider at CERN and help to map the Universe using the Hubble Space Telescope. They’ll guide you through key topics and offer you a huge range of optional modules.
Physics and astronomy students are based in the Hicks Building, which has undergraduate teaching laboratories with all the equipment you need for your physics and astronomy training, as well as classrooms, lecture theatres, computer rooms and social spaces. It's right next door to the UK’s number one students’ union, down the road from the 24/7 library facilities at the Information Commons and the Diamond, and a short walk from the city centre.
Facilities
Physics and astronomy students are trained in our teaching laboratories and can access a range of specialist technologies. We have telescopes and a solar technology testbed on the roof, state-of-the-art laboratories for building super-resolution microscopes and analysing 2D materials, and the UK’s first Quantum Information Laboratory, where students can study the fundamental science behind the next technological revolution.
In their final year, MPhys students are based in a specialist research laboratory where scientists are studying technologies such as 2D materials, photovoltaic devices and advanced microscopy tools.
School of Mathematical and Physical SciencesSchool of History, Philosophy and Digital Humanities
In the School of History, Philosophy and Digital Humanities, we interrogate some of the most significant and pressing aspects of human life, offering new perspectives and tackling globally significant issues.
As a philosophy student at Sheffield you will benefit from the diversity of our modules and the high quality of our teaching which draws on the research expertise of our staff to ensure your lectures and seminars are informed, relevant and exciting.
Our staff engage in cutting-edge research across a wide range of philosophical disciplines including epistemology, ethics, social, political and environmental philosophy, metaphysics and philosophy of the mind among others.
Our supportive and inclusive community will also provide you with opportunities to use your philosophical knowledge to engage with real world problems and make a difference in the community through projects like our award-winning Philosophy in the City programme, which enables students to teach philosophy in the local community to audiences of all ages. Our students also run a thriving Philosophy Society and an undergraduate philosophy journal
Our Centre for Engaged Philosophy pursues research into questions of fundamental political and social importance, from criminal justice and social inclusion to climate ethics, all topics that are covered in our teaching. Their events are open to all students and there are opportunities to get involved in event planning and delivery.
Philosophy students are based at 45 Victoria Street at the heart of the University campus. We're close to the Diamond and the Information Commons, as well as Jessop West, which houses our fellow Arts & Humanities scholars of History, English, East Asian Studies and Languages & Cultures.
Facilities
School of History, Philosophy and Digital HumanitiesUniversity rankings
Number one in the Russell Group
National Student Survey 2024 (based on aggregate responses)
92 per cent of our research is rated as world-leading or internationally excellent
Research Excellence Framework 2021
University of the Year and best for Student Life
Whatuni Student Choice Awards 2024
Number one Students' Union in the UK
Whatuni Student Choice Awards 2024, 2023, 2022, 2020, 2019, 2018, 2017
Number one for Students' Union
StudentCrowd 2024 University Awards
A top 20 university targeted by employers
The Graduate Market in 2023, High Fliers report
A top-100 university: 12th in the UK and 98th in the world
Times Higher Education World University Rankings 2025
Student profiles
Fees and funding
Fees
Additional costs
The annual fee for your course includes a number of items in addition to your tuition. If an item or activity is classed as a compulsory element for your course, it will normally be included in your tuition fee. There are also other costs which you may need to consider.
Funding your study
Depending on your circumstances, you may qualify for a bursary, scholarship or loan to help fund your study and enhance your learning experience.
Use our Student Funding Calculator to work out what you’re eligible for.
Additional funding
The University of Sheffield’s Experience Sheffield Scholarships includes a number of scholarships that are guaranteed to go to students in the School of Mathematical and Physical Sciences.
Placements and study abroad
Placement
With our third year Work Place Learning module, you can spend time with an organisation from the Sheffield voluntary or private sector, gaining skills and experience relevant to philosophy in an applied setting. You can also take part in the award-winning Philosophy in the City group, which introduces school children to philosophical ideas they can apply to everyday life. All of these experiences will help you build a compelling CV.
Study abroad
Visit
University open days
We host five open days each year, usually in June, July, September, October and November. You can talk to staff and students, tour the campus and see inside the accommodation.
Subject tasters
If you’re considering your post-16 options, our interactive subject tasters are for you. There are a wide range of subjects to choose from and you can attend sessions online or on campus.
Offer holder days
If you've received an offer to study with us, we'll invite you to one of our offer holder days, which take place between February and April. These open days have a strong department focus and give you the chance to really explore student life here, even if you've visited us before.
Campus tours
Our weekly guided tours show you what Sheffield has to offer - both on campus and beyond. You can extend your visit with tours of our city, accommodation or sport facilities.
Apply
The awarding body for this course is the University of Sheffield.
Recognition of professional qualifications: from 1 January 2021, in order to have any UK professional qualifications recognised for work in an EU country across a number of regulated and other professions you need to apply to the host country for recognition. Read information from the UK government and the EU Regulated Professions Database.
Any supervisors and research areas listed are indicative and may change before the start of the course.