Mathematical Sciences - University of Liverpool · University (XJTLU), following XJTLU’s BA China Studies degree classes. See ... an actuarial trainee analyst in the audit practice,

Mathematical Sciences

ContentsAlumni case study 01

Why choose Mathematical Sciences at Liverpool? 02

Invest in your future 05

Degrees 06

Module details 14

@comingtolivuni /Universityof Liverpool @livuni UofLTube

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Alumni case study: Dr Jackie BellJackie (BSc Hons Mathematics 2010, MA Mathematical Sciences 2011, PhD 2016) was the first person in her family to go to university, and worked alongside her studies as a waitress and youth worker to pay for her university fees. With a love of learning, and a gift for maths she decided to pursue the subject at the University of Liverpool, in her home town. Having then attained a scholarship for the work she did within her community she moved into theoretical physics for her PhD where her research was in Quantum Chromodynamics – the study of the strong nuclear force that binds fundamental particles (quarks and gluons) together.

Much of what Jackie has done has been spurred by her childhood dreams of going into space, a desire which has never left her. In 2017 she became one of 12 applicants selected from thousands of entries to take part in the BBC show “Astronauts: Do You Have What It Takes?” where she underwent a series of tests, similar, or identical to those within the astronaut training programme in an attempt to gain a reference from Chris Hadfield, Canadian astronaut and former commander of the ISS, when the European Space Agency (ESA) next begin recruiting.

Whilst doing her studies, and since leaving university, Jackie has concentrated on pursuing a career in science communication. She has worked with youth groups in deprived areas to encourage more young people to enjoy and pursue education, and more recently has taken up roles with the Science Museum and the British Science Association to specifically engage more communities with science.

Alongside science, Jackie has a keen interest in dance and music, coaching her University cheerleading team which she competed with at a national level for four years, and playing piano and violin. She is currently continuing to train in her spare time, including a strict fitness regime and learning to speak Russian, for when the next round of ESA applications go live.

Follow Jackie on Twitter

@sciencesummedup

Faculty of Science and Engineering > School of Physical Sciences > Mathematical Sciences02

Why choose Mathematical Sciences at Liverpool?Mathematics is a fascinating, beautiful and diverse subject to study. It underpins a wide range of disciplines; from physical sciences to social science, from biology to business and finance. At Liverpool, our programmes are designed with the needs of employers in mind, to give you a solid foundation from which you may take your career in any number of directions.


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Take the first steps towards a brilliant careerEmployers tell us that, alongside key problem solving skills, they want strong communication skills and the ability to work in a team, so we have ensured that these are integral to our mathematics programmes. As a result, we have an excellent graduate employment record. About a third of graduates become business and finance professionals; but there is a whole host of other careers which our graduates have found success in such as management training, information technology, further education or training (including teacher training), scientific research and development, and many more.

Shape your own degree from our wide range of study optionsOur modules range from financial mathematics to fluid mechanics, from chaos to combinatorics. Students have the opportunity to study a broad range of topics or specialise in areas of interest. You can also benefit from the flexibility of our programmes and the ability to transfer between degrees during Year One.

Fulfil your potential in a supported environmentOur students benefit from the peer-assisted study scheme, where Year Two and upwards students assist first years with maths problems, as well as small first-year tutorial groups, a Department common room and a lively maths society help to foster a friendly and supportive environment. We are also proud of our record on teaching quality, with five members of the Department having received the prestigious Sir Alastair Pilkington Award for Teaching, the University’s top accolade for teaching quality.

Put maths into practice through our innovative outreach programmeWe encourage all our students to get involved in our extensive outreach programme with schools in the Merseyside area and beyond. This is a particularly valuable experience for those interested in a career in teaching, but for all students it is a brilliant opportunity to build transferable skills. Activities include visits to a local school to help out with an interactive learning session, or giving a presentation at the University’s Maths Club. Further details can be found at mathsoutreach.com

187first year students (2018).

95%of Mathematics MMath graduates are in a professional/managerial job six months after graduating (Unistats 2017).

96%are employed or in further study six months after graduation (DLHE 2016/17).

Good to know

We offer study abroad opportunities.

We offer a Year in China.

We offer accredited programmes.

We offer the chance to study a language.

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Study abroad As part of your mathematics degree programme you may have the opportunity to study abroad. Studying abroad has huge personal and academic benefits, as well as giving you a head start in the graduate job market. Students may apply to study at universities in the US and Canada and students on a Mathematics with languages programme will be able to spend a year in a country where the relevant language is spoken. For more information, visit liverpool.ac.uk/goabroad

Year in China The Year in China is the University of Liverpool’s exciting flagship programme enabling undergraduate students from a huge range of departments, including Mathematical Sciences, the opportunity to spend one year at our sister university Xi’an Jiaotong-Liverpool University (XJTLU), following XJTLU’s BA China Studies degree classes. See liverpool.ac.uk/yearinchina for more information.

Languages at Liverpool Studying a programme within Mathematical Sciences allows you to study a language as an extracurricular course, on top of your degree. See liverpool.ac.uk/languages for more information.

How you learnYour learning activities will consist of lectures, tutorials, practical classes, problem classes, private study and supervised project work. In Year One, lectures are supplemented by a thorough system of group tutorials and computing work is carried out in supervised practical classes. Key study skills and group work start in first-year tutorials and are developed later in the programme. The emphasis in most modules is on the development of problem solving skills, which are regarded very highly by employers.

Most modules are assessed by examinations in January or May, but many have an element of coursework assessment. This might be through homework, class tests, mini-project work or key skills exercises.


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Recent employers of our graduates Aston University Baker Tilly Barclays Bank plc Deloitte EuroMoney Training Forrest Recruitment Hallidays Chartered Accountants Marks and Spencer Mercer Human Resource Consulting Ltd Mitchell Charlesworth Norwich Union Transmission Marketing Ltd Venture Marketing Group Wilson Henry Partnership Wolsley Group.

Work experience opportunitiesAn optional Work placement module is offered during the summer vacation following Year Two. This is an opportunity for you to use your mathematics skills in the workplace and get credit towards your degree.

Postgraduate opportunitiesTypical postgraduate study undertaken by graduates:

ACA Certificate of Financial Planning Applied Mathematics MPhil Statistics MPhil Mathematical Sciences MSc Medical Tissue Engineering MSc Secondary Mathematics PGCE Mathematical Cardiology/ Computer Science PhD Photonics PhD Theoretical Physics PhD.

Invest in your futureA mathematically-based degree opens up a wide range of career opportunities, including some of the most lucrative professions. Typical types of work our graduates have gone onto include as an actuarial trainee analyst in the audit practice, a graduate management trainee risk analyst and as a trainee chartered accountant on a graduate business programme. Employers value mathematicians’ high level of numeracy and problem solving skills. Financial rewards are impressive, research by Pricewaterhouse Coopers revealed that mathematical science graduates earn on average an extra £241,749 over their lifetime than those who leave school after A levels. This is the third highest ‘graduate premium’ of all subject areas.


Programmes at-a-glance Page

Mathematics BSc (Hons) G100 3 years 06

Mathematics MMath G101 4 years 06

Mathematics and Statistics BSc (Hons) GG13 3 years 07

Mathematics and Economics BSc (Joint Hons) GL11 3 years 07

French and Mathematics BA (Joint Hons) GR11 4 years 07

Mathematics with Languages BSc (Hons) G19R 4 years 08

Mathematics and Business Studies BSc (Joint Hons) GN11 3 years 09

Mathematics with Finance BSc (Hons) G1N3 3 years 09

Actuarial Mathematics BSc (Hons) NG31 3 years 10

Mathematical Physics MMath FGH1 4 years 11

Physics and Mathematics BSc (Joint Hons) FG31 3 years 11

Theoretical Physics MPhys F344 4 years 11

Mathematical Sciences entry route leading to BSc (Hons) (4-year route including a Foundation Year at Carmel College) G108 4 (1+3) years 12

Mathematics with Education MMath 4 years 12

Degrees offered with other departmentsMathematics and Computer Science BSc (Hons) GG14 3 years 12

Mathematics and Computer Science with a Year in Industry BSc (Hons) GG16 4 years 12

Mathematics with Ocean and Climate Sciences BSc (Hons) G1F7 3 years 13

Mathematics and Philosophy BA (Joint Hons) GV15 3 years 13

Mathematics and Music Technology BSc (Hons) G1W3 3 years 13

See liverpool.ac.uk/study/undergraduate/courses for current entry requirements.

Degrees

Mathematics BSc (Hons) UCAS code: G100Programme length: 3 years

Mathematics MMath UCAS code: G101Programme length: 4 years

If you enjoyed studying Mathematics at school and would like to study the subject in more depth, you should consider G100 or G101. G100 provides an excellent foundation for a wide range of careers. Students who opt for the four-year MMath programme are well placed to embark on a PhD or to take a research post in industry after graduation.

Programme in detailIn the first two years of these programmes, you will study a range of topics covering important areas of both pure and applied mathematics, no assumptions are made about whether or not you have previously studied mechanics or statistics, or have previous experience of the use of computers. Year One modules introduce fundamental ideas and also reinforce A level work.

Key modulesYears One to FourSee pages 14-33 for module descriptions.


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Mathematics and Statistics BSc (Hons)UCAS code: GG13 Programme length: 3 years

Statisticians are in great demand and if the subject appeals to you, you should consider GG13. Although you can do some statistics modules in G100, you will study more modules in GG13.

Programme in detail The first year is similar to G100. Over the final two years you will take four required, plus two chosen statistics modules.

Key modulesYears One to ThreeSee pages 14-33 for module descriptions.

Mathematics and Economics BSc (Joint Hons) UCAS code: GL11Programme length: 3 years

Consider studying Mathematics and Economics GL11 if you really want to enhance your job opportunities. The two subjects come very much hand-in-hand and offer a firm foundation for your future career.

Programme in detailEconomics and mathematics are both highly relevant subjects in today’s world. This degree combines them in about equal measure, with considerable flexibility in the choice of modules after Year One. Modules covered include Microeconomics, Macroeconomics, Statistics, Numbers, groups and codes, as well as core mathematics modules.

In Year Two you will take four core modules and four additional modules from the remaining optional module list. For Year Three you will choose four economics modules and four maths modules.

Key modulesYears One to ThreeSee pages 14-33 for module descriptions.

French and Mathematics BA (Joint Hons) UCAS code: GR11Programme length: 4 years

Many students choose to bring together the study of a language with Mathematics. This Joint Honours degree programme lets you develop skills in both French language (from absolute beginners or post-A level) and mathematical reasoning.

You will explore French literature, history and culture, as well as learn how to write mathematical arguments, formulate problems in mathematical terms and solve them, and learn about mathematical structures. The programme includes a year abroad in a French speaking country.

At Liverpool, French may be taken from A level or as a beginner’s language where no previous qualifications in the language are necessary. In the first year our vibrant programmes at advanced level will both refresh and extend your knowledge of French. If you are a beginner, our fast-moving programme will quickly take you to A level standard during the course of your first year.

Programme in detailIn each year you will take 50% French modules and 50% mathematics modules. You will spend one year in a French-speaking country, as an assistant in a school, doing a work placement or as a student at a university where you can study French and mathematics.

Continued over...


Key modulesYear OneIn Year One you will take three core and one optional module in mathematics, as well as two core modules in modern French language, and two core modules in French studies.

After passing the first year, you have the flexibility of transferring to G100 if you wish, subject to approval.

Year TwoYou will continue to take two language modules in order to develop your language skills, as well as two other optional modules in French alongside modules in mathematics.

For the full list of optional language modules please visit liverpool.ac.uk/modern-languages-and-cultures/study/subjects/french

Year AbroadYou will complete assessment tasks appropriate to your year abroad placement, either producing one or more pieces of work in French or completing modules at your host university.

Final YearYou will continue to take two language modules in order to further develop and consolidate your language skills after the year abroad, as well as two other optional modules in French alongside modules in mathematics.

For the full list of optional language modules please visit liverpool.ac.uk/modern-languages-and-cultures/study/subjects/french

See pages 14-33 for module descriptions.

Mathematics with Languages BSc (Hons) UCAS code: G19R Programme length: 4 years

If you would like to combine mathematics with a foreign language, this degree should interest you. There are excellent career opportunities in organisations with international interests. You can spend a year studying abroad during this programme which will greatly enhance your employability and intercultural skills. After studying mathematics (75%) and a language (25%), you will be well prepared for the third year spent at a university abroad should you wish. There, you will absorb the culture and experience living abroad and gain further fluency in the relevant language. The fourth year is spent back in Liverpool studying mathematics and communication/translation skills. It is also possible to not take a year abroad should you wish.

At the University of Liverpool, French, Spanish, German, Italian and Chinese may be taken from A level or as a beginner’s language where no previous qualifications in the language are necessary. You can also take up Basque, Catalan or Portuguese from beginner level only.

Programme in detailIn the first year our vibrant language modules at advanced level will both refresh and extend your knowledge of the target language. If you are a beginner, our fast-moving programme will quickly take you to A level standard during the course of your first year.

Key modulesYear OneIn addition to core modules you will choose three maths modules and choose 30 credits of language modules (for the Open Languages pathway, only modules at advanced level are available).

Year TwoIn Year Two, in addition to core modules you will choose 11 maths modules and 30 credits of language modules.


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Year AbroadDuring Year Three you can choose to spend a year at a university abroad should you wish. There, you will absorb the culture and experience living abroad and gain further fluency in the relevant language.

Final YearThis is Year Three if you choose not to take a year abroad. Choose six optional modules plus 30 credits of language modules.

For the full list of optional language modules please visit liverpool.ac.uk/modern-languages-and-cultures/study/subjects


Mathematics and Business Studies BSc (Joint Hons)UCAS code: GN11Programme length: 3 years

This programme combines Mathematics and Business Studies in equal proportions, so is ideal if you want to pursue mathematics to a high level and also take advantage of the Business Studies programmes. The options available in mathematics are very wide and you can to a large extent follow your own interests in the subject, specialising in the pure side or taking applied modules as well as those in statistics and operational research.

Programme in detailIn Year One, you will take Calculus I, Introduction to linear algebra, Calculus II, Introduction to statistics, Introduction to financial accounting, Introduction to management accounting, Mathematical IT skills, and Economic principles for business and markets.

Key modulesYear OneYou will take entirely core modules in Year One.

Year TwoIn addition to core modules, you will choose two modules from the optional module list.

Year ThreeYou will choose four business modules and four mathematics modules.


Mathematics with Finance BSc (Hons) UCAS code: G1N3 Programme length: 3 years

This is one of our most popular degree programmes with great employment potential. The programme is designed primarily for those who wish to work in finance, insurance or banking after graduation. We have accreditation from the Institute and Faculty of Actuaries. Currently our students can receive exemptions for CT1, CT2, CT3 and CT4 of the professional actuarial exams conducted by the Institute and Faculty of Actuaries, the professional body for actuaries in the UK.

Programme in detailIn the first two years of this programme, you will study a range of topics covering important areas of mathematics. The main focus will be on basic financial mathematics, statistics and probability, no assumptions are made about whether or not you have previously studied these, or have previous experience in the use of computers. In the last year, you will cover some specialised work in financial mathematics. Subsequently, you will begin to study more advanced ideas in probability theory and statistics as well as stochastic modelling, econometrics and finance.

This programme is designed to prepare you for a career in the banking sector, pension or investment funds, hedge funds, consultancy and auditing firms or government regulators. The course prepares students to be professionals who use mathematical models to analyse and solve financial problems under uncertainty. The programme will provide a useful perspective on how capital markets function in a modern economy.

Continued over...


Key modulesYear OneThe Mathematics with Finance degree has been accredited by the UK Actuarial Profession, which means that students can obtain exemptions from some of the subjects in the Institute and Faculty of Actuaries’ examination system.

All exemptions will be recommended on a subject-by-subject basis, taking into account performance at the University of Liverpool.

Further information can be found at the actuarial profession’s website actuaries.org.uk

Core technical stageExemptions are based on performance in the relevant subjects as listed below.

CT1 – Financial Mathematics: Financial mathematics I and II CT2 – Finance and Financial Reporting: Introduction to financial accounting, Introduction to finance and Financial reporting and finance CT3 – Probability and Mathematical Statistics: Statistical theory I and II CT4 – Models: Applied probability and actuarial models.

Years Two and ThreeIn the second and subsequent years of study, there is a wide range of modules. Each year you will take the equivalent of eight modules. Please note that we regularly review our teaching so the choice of modules may change. In addition to the core modules, you will choose one optional module.


Actuarial Mathematics BSc (Hons) UCAS code: NG31Programme length: 3 years

A programme aimed at those students who want to work in the world of insurance, financial or governmental services, where actuarial mathematics plays a key role.

We have accreditation from the Institute and Faculty of Actuaries, the professional body for actuaries in the UK. Currently, our students can receive exemptions for CT1, CT2, CT3, CT4, CT5, CT6, CT7 and CT8 of the professional actuarial exams.

Programme in detailActuarial mathematics prepares students to be professionals who use mathematical models to analyse and solve financial problems under uncertainty. Actuaries are experts in the design, financing and operation of insurance plans, annuities, and pension or other employee benefit plans.

In Year Three, you will cover some specialised work in advanced actuarial and financial mathematics. Subsequently, you start to study more advanced ideas in both life and non-life insurance mathematics as well as stochastic modelling, econometrics and finance. This programme is designed to prepare you for a career as an actuary, combining financial and actuarial mathematics with statistical techniques and business topics.

Key modulesYear OneThe Actuarial Mathematics degree has been accredited by the UK Actuarial Profession, which means that students can obtain exemptions from some of the subjects in the Institute and Faculty of Actuaries’ examination system.

All exemptions will be recommended on a subject-by-subject basis, taking into account performance at the University of Liverpool.

Further information can be found at the actuarial profession’s website actuaries.org.uk


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Core technical stageExemptions are based on performance in the relevant subjects as listed below.

CT1 – Financial Mathematics: Financial mathematics I and II CT2 – Finance and Financial Reporting: Introduction to financial accounting, Introduction to finance and Financial reporting and finance CT3 – Probability and Mathematical Statistics: Statistical theory I and II CT4 – Models: Applied probability and actuarial models CT5 – Contingencies: Life insurance mathematics I and Life insurance mathematics II CT6 – Statistical Methods: Mathematical risk theory and Statistical methods in actuarial science CT7 – Economics: Principles of microeconomics, Principles of macroeconomics, Microeconomics I and International trade CT8 – Financial Economics: Financial mathematics II, Security markets and stochastic modelling in insurance and finance.

Years Two and ThreeIn the second and subsequent years of study, there is a wide range of modules. Each year you will choose the equivalent of eight modules. Please note that we regularly review our teaching so the choice of modules may change.

Along with the core modules, two modules in Life insurance and Financial reporting and finance must be taken.


Mathematical Physics MMath UCAS code: FGH1Programme length: 4 years

Physics and Mathematics BSc (Joint Hons) UCAS code: FG31Programme length: 3 years

Theoretical Physics MPhys UCAS code: F344Programme length: 4 years

Physics and Mathematics degrees are highly prized and our graduates have excellent career opportunities in industrial research and development, computing, business, finance and teaching. We offer one three-year BSc degree and two four-year degrees, MMath or MPhys, combining these two intimately related disciplines. These programmes provide a strong mathematical training, and mathematical techniques help you to deal with new ideas that often seem counterintuitive, such as string theory, black holes, superconductors and chaos theory.

Programme in detailIn Year One you will take three core mathematics modules, a module in Dynamic modelling, and four physics modules. After passing the first year, you have the flexibility of transferring to Mathematics or Physics if you wish, subject to approval.

Key modulesYears One to FourSee pages 14-33 for module descriptions.


Mathematical Sciences entry route leading to BSc (Hons) (4-year route including a Foundation Year at Carmel College) UCAS code: G108Programme length: 4 (1+3) years

This programme provides a four-year route to a number of BSc (Hons) degree programmes offered in the Department of Mathematical Sciences.

Students follow the foundation year and then can opt to follow one of the programmes offered in the Department:

Mathematics BSc (Hons) Mathematics and Statistics BSc (Hons) Mathematics and Economics BSc (Joint Hons) French and Mathematics BA (Joint Hons) Mathematics and Business Studies BSc (Joint Hons) Mathematical Sciences with a European Language BSc (Hons) Mathematics and Computer Science BSc (Hons) Mathematics with Finance BSc (Hons) Mathematics with Ocean and Climate Sciences BSc (Hons) Mathematics and Philosophy BA (Joint Hons) Physics and Mathematics BSc (Joint Hons).

Programme in detailThe first year is based at Carmel College, St Helens, about nine miles from the main University precinct. The College offers small class sizes and high standards of academic achievement. Students follow three foundation modules chosen from Mathematics, Chemistry, Physics, Biology or Geography. Module choice depends on the programme students wish to follow after the foundation year. In the second, third and fourth years, students follow their chosen programme from the list. There is a separate brochure outlining facilities at Carmel College, please email [email protected] to order a copy.

Mathematics with Education MMath UCAS code: N/AProgramme length: 4 years

In addition to your MMath Mathematics degree, would you like to get a teaching qualification, giving you the extra option of potentially becoming a teacher? Our integrated master’s programme develops the key skills needed to pursue a career in education. The MMath Mathematics with Education (with recommendation for Qualified Teacher Status QTS) offers you the opportunity of completing a master’s mathematics degree, whilst at the same time gaining a professional qualification (QTS) so you can go straight into teaching in England and Wales. You have the option of pursuing this programme at the end of your second year of study. Registered students will receive a generous bursary from the NCTL (National College of Teaching and Learning), currently £9,000 per year for Year Three and Year Four (to be confirmed at the opt-in stage). Mathematics with Education is a joint programme, with education components provided by Liverpool John Moores University.

Degrees offered with other departmentsMathematics and Computer Science BSc (Hons) UCAS code: GG14 Programme length: 3 years

Mathematics and Computer Science with a Year in Industry BSc (Hons) UCAS code: GG16 Programme length: 4 years

Mathematicians and computer scientists are amongst the most highly-prized graduates today. On this programme, you will divide your studies more or less equally between the two subjects, studying modules from mathematics and computer science.

For more information, download the Electrical Engineering, Electronics and Computer Science brochure from liverpool.ac.uk/study/undergraduate/courses/publications


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Mathematics with Ocean and Climate Sciences BSc (Hons) UCAS code: G1F7 Programme length: 3 years

Predicting climate and climate change is a major challenge facing the scientific community.

The oceans regulate the climate of the planet through storing and transporting heat as well as modifying properties of the overlying atmosphere. Complex issues such as climate change and sea level rise can only be understood if the role of the ocean and atmosphere is fully appreciated.

This degree provides an understanding of how the ocean and atmosphere operate in the climate system, as well as offering a strong grounding in mathematics.

It is offered in collaboration between the Department of Mathematics in the School of Physical Sciences and the internationally renowned National Oceanography Centre in Liverpool, providing excellent preparation for careers in computer modelling in oceanography, meteorology or environmental monitoring.

For more information, download the Earth, Ocean and Ecological Sciences brochure from liverpool.ac.uk/study/undergraduate/courses/publications

Mathematics and Philosophy BA (Joint Hons) UCAS code: GV15 Programme length: 3 years

What are numbers? Do they exist? How can we know about them if they are not to be found in the familiar world of space and time that we inhabit? These are just some of the philosophical questions raised by the study of mathematics.

By the end of this programme, you will be able to understand complex and demanding texts, reason intelligently and imaginatively about ethical, metaphysical, and epistemological issues, and have a grasp of the advantages and problems of a wide range of metaphysical and ethical views. In addition, you will have mastered a wide range of mathematical disciplines, and have extended your numerical, logical, and quantitative skills.

For more information, download the Philosophy brochure from liverpool.ac.uk/study/undergraduate/courses/publications

Mathematics and Music Technology BSc (Hons) UCAS code: G1W3 Programme length: 3 years

This programme combines Mathematics and Music Technology as a Joint Honours programme.

Programme in detailThe Music and Technology programme allows you to specialise in the vocational areas of recording and production, electronic music, sound design and composition for film and video gaming. In Year One, core modules look at the foundations of creative music technology, sound, and production.

For details on key modules visit liverpool.ac.uk/music/study/undergraduate


Core and selected optional modules overview Year One

Module title G100 G101 GG13 GL11 GR11 G19R GN11 G1N3 NG31 FGH1 FG31 F344 Semester Credit Module description

Advanced French V FREN105 C 1 15 Consolidates skills acquired during the A level period, in particular the knowledge of grammar and the written and oral practice of the French language.

Advanced French VI FREN106 C 2 15 Consolidates both the skills acquired during the A level period, in particular grammar, written and oral French language practice, and the skills acquired in FREN105.

Beginners French I+II FREN112 C 1 15 Develops the necessary skills to begin to communicate confidently in spoken and written French, including basic competence in reading and listening. FREN112 and FREN134 are for beginners only.

Calculus I MATH101 C C C C C C C C C C C C 1 15 Introduces the basic ideas of differential and integral calculus, to develop the basic skills required to work with them and to apply these skills to a range of problems.

Calculus II MATH102 C C C C C C C C C C C C 2 15 Discusses local behaviour of functions using Taylor’s theorem.

Economic principles for business and markets ECON127

C 2 15 Enables students to demonstrate an understanding of the core principles of microeconomics.

Foundations of modern physics PHYS104

C C C 2 15 This module introduces the theory of special relativity and its experimental proofs and shows the impact of relativity and quantum theory on contemporary science and society.

Functions of business I ULMS101

C 1 15 Provides an overview of three key business functions: accounting and finance, human resources management and marketing. Enhances knowledge of basic financial instruments utilised by organisations.

Functions of business II ULMS102

C 2 15 This module builds on the knowledge gained in Functions of business I. The focus moves from technical to operational aspects of finance, marketing and HR.

Intermediate French III+IV FREN134

C 2 15 Students will continue to develop all the skills necessary to communicate confidently in spoken and written French within a range of topics, including reading and listening competences.

International business environment MKIB152

C 2 15 This module examines the international business environment through a combination of theoretical instruction and empirical (real-world) case studies.

Introduction to computational physics PHYS105

C C C 1 7.5 Students will develop the ability to break down physical problems into steps amenable to solution using algorithms.

Introduction to finance ACFI103

C C C 2 15 Provides a firm foundation for the students to build on later on in the second and third years of their programmes, by covering basic logical and rational analytical tools that underpin financial decisions.

Introduction to financial accounting ACFI101

C C 1 15 Develops knowledge and understanding of the underlying principles and concepts relating to financial accounting and technical proficiency in the use of double entry accounting techniques in recording transactions, adjusting financial records and preparing basic financial statements.

Introduction to French studies I FREN114

C 1 15 Consolidates A level skills, in particular the knowledge of grammar and the written and oral practice of the French language. FREN112 and FREN134 are for beginners only.

Key: C: Core O: Selected optional modules

Please note: modules are illustrative only and subject to change.


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Advanced French V FREN105 C 1 15 Consolidates skills acquired during the A level period, in particular the knowledge of grammar and the written and oral practice of the French language.

Advanced French VI FREN106 C 2 15 Consolidates both the skills acquired during the A level period, in particular grammar, written and oral French language practice, and the skills acquired in FREN105.

Beginners French I+II FREN112 C 1 15 Develops the necessary skills to begin to communicate confidently in spoken and written French, including basic competence in reading and listening. FREN112 and FREN134 are for beginners only.

Calculus I MATH101 C C C C C C C C C C C C 1 15 Introduces the basic ideas of differential and integral calculus, to develop the basic skills required to work with them and to apply these skills to a range of problems.

Calculus II MATH102 C C C C C C C C C C C C 2 15 Discusses local behaviour of functions using Taylor’s theorem.

Economic principles for business and markets ECON127

C 2 15 Enables students to demonstrate an understanding of the core principles of microeconomics.

Foundations of modern physics PHYS104

C C C 2 15 This module introduces the theory of special relativity and its experimental proofs and shows the impact of relativity and quantum theory on contemporary science and society.

Functions of business I ULMS101

C 1 15 Provides an overview of three key business functions: accounting and finance, human resources management and marketing. Enhances knowledge of basic financial instruments utilised by organisations.

Functions of business II ULMS102

C 2 15 This module builds on the knowledge gained in Functions of business I. The focus moves from technical to operational aspects of finance, marketing and HR.

Intermediate French III+IV FREN134

C 2 15 Students will continue to develop all the skills necessary to communicate confidently in spoken and written French within a range of topics, including reading and listening competences.

International business environment MKIB152

C 2 15 This module examines the international business environment through a combination of theoretical instruction and empirical (real-world) case studies.

Introduction to computational physics PHYS105

C C C 1 7.5 Students will develop the ability to break down physical problems into steps amenable to solution using algorithms.

Introduction to finance ACFI103

C C C 2 15 Provides a firm foundation for the students to build on later on in the second and third years of their programmes, by covering basic logical and rational analytical tools that underpin financial decisions.

Introduction to financial accounting ACFI101

C C 1 15 Develops knowledge and understanding of the underlying principles and concepts relating to financial accounting and technical proficiency in the use of double entry accounting techniques in recording transactions, adjusting financial records and preparing basic financial statements.

Introduction to French studies I FREN114

C 1 15 Consolidates A level skills, in particular the knowledge of grammar and the written and oral practice of the French language. FREN112 and FREN134 are for beginners only.


Continued over...


Core and selected optional modules overview Year One (continued)


Introduction to French studies II FREN116

C 2 15 Continues to introduce different registers of French: standard, informal, argotique, to encourage the production of accurate, authentic and fluent French, both written and spoken, in different formats.

Introduction to linear algebra MATH103

C C C C C C C C C C C C 1 15 Introduces techniques of complex numbers and linear algebra, including equation solving, matrix arithmetic and the computation of eigenvalues and eigenvectors.

Introduction to programming COMP101

O 1 15 An introduction to object oriented programming in Java. Students gain experience with programme design, programming and testing.

Introduction to statistics and probability MATH162

C C C C O O C C C 2 15 This module will introduce topics in statistics and will encourage students to describe and discuss basic statistical methods.

Mathematical IT skills MATH111

C C C C C C 1 15 Introduces students to powerful mathematical software packages, such as Maple and MATLAB.

Mathematics study and research MATH107

C C C 1 15 Discusses what it means to be a mathematician as an undergraduate and beyond.

Newtonian mechanics MATH122

C C C O O O C C C 2 15 Introduces the basic laws of classical (Newtonian) mechanics, together with mathematical tools, like differential equations, and applies them to solve the dynamics of the motion of particles under simple forces.

Numbers, groups and codes MATH142

C C C O O O 2 15 Provides an introduction to rigorous reasoning in axiomatic systems exemplified by the framework of group theory.

Practical skills for mathematical physics PHYS156

C C C 2 7.5 Students will develop their skills in using computers to perform mathematical calculations, and in communicating scientific information in appropriate written and oral formats.

Principles of macroeconomics ECON123

C C 2 15 Introduces concepts and theories of economics which help understand changes in the macroeconomic environment and enables students to explain and analyse the formulation of government macroeconomic policy.

Principles of microeconomics ECON121

C C 1 15 Acquaints students with elementary microeconomic theory. We will cover: basic definitions and concepts in (micro) economics, consumer theory, producer theory, perfect competition, imperfect competition, externalities and public goods.

Quantitive financial economics ECON308

C 1 15 Provides an overview through financial economics, starting from the decision-making under uncertainty and applying these concepts to optimal portfolio choice. Also exploring standard asset pricing model and the efficient capital markets theory.

The economics of developing countries ECON306

C 2 15 Explores the economics of international development using various models of economic growth and developments.

Thermal physics and properties of matter PHYS102

C C C 2 7.5 Familiarises students with the concepts of thermal physics, heat engines, states of matter and state changes and the basis of statistical mechanics.

Waves phenomena PHYS103 C C C 2 7.5 Introduces the fundamental concepts and principles of wave phenomena and highlights the many diverse areas of physics in which an understanding of waves is crucial.




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Introduction to French studies II FREN116

C 2 15 Continues to introduce different registers of French: standard, informal, argotique, to encourage the production of accurate, authentic and fluent French, both written and spoken, in different formats.

Introduction to linear algebra MATH103

C C C C C C C C C C C C 1 15 Introduces techniques of complex numbers and linear algebra, including equation solving, matrix arithmetic and the computation of eigenvalues and eigenvectors.

Introduction to programming COMP101

O 1 15 An introduction to object oriented programming in Java. Students gain experience with programme design, programming and testing.

Introduction to statistics and probability MATH162

C C C C O O C C C 2 15 This module will introduce topics in statistics and will encourage students to describe and discuss basic statistical methods.

Mathematical IT skills MATH111

C C C C C C 1 15 Introduces students to powerful mathematical software packages, such as Maple and MATLAB.

Mathematics study and research MATH107

C C C 1 15 Discusses what it means to be a mathematician as an undergraduate and beyond.

Newtonian mechanics MATH122

C C C O O O C C C 2 15 Introduces the basic laws of classical (Newtonian) mechanics, together with mathematical tools, like differential equations, and applies them to solve the dynamics of the motion of particles under simple forces.

Numbers, groups and codes MATH142

C C C O O O 2 15 Provides an introduction to rigorous reasoning in axiomatic systems exemplified by the framework of group theory.

Practical skills for mathematical physics PHYS156

C C C 2 7.5 Students will develop their skills in using computers to perform mathematical calculations, and in communicating scientific information in appropriate written and oral formats.

Principles of macroeconomics ECON123

C C 2 15 Introduces concepts and theories of economics which help understand changes in the macroeconomic environment and enables students to explain and analyse the formulation of government macroeconomic policy.

Principles of microeconomics ECON121

C C 1 15 Acquaints students with elementary microeconomic theory. We will cover: basic definitions and concepts in (micro) economics, consumer theory, producer theory, perfect competition, imperfect competition, externalities and public goods.





Thermal physics and properties of matter PHYS102

C C C 2 7.5 Familiarises students with the concepts of thermal physics, heat engines, states of matter and state changes and the basis of statistical mechanics.

Waves phenomena PHYS103 C C C 2 7.5 Introduces the fundamental concepts and principles of wave phenomena and highlights the many diverse areas of physics in which an understanding of waves is crucial.




Core and selected optional modules overview Year Two



Advanced French V+VI FREN256

C 1 15 Continue to develop student’s language skills. Based on language ability level, students will study either FREN256 or FREN207.

Advanced French VII FREN207


Advanced French VII + VIII FREN278

C 2 15 Building on the knowledge and language skills from FREN256.

Advanced French VIII FREN208


Business ethics PHIL272 C 2 15 Learn about business ethics, ethical challenges and the social responsibility of business organisations.

Business in the global economy MKIB225

C 2 15 Explore business strategies and behaviour as part of the dynamic interactions within the world economy.

Classical mechanics MATH228

O O O O O O O C C C 2 15 Provides an understanding of the principles of classical mechanics and their application to simple dynamical systems.

Commutative algebra MATH247

O O O O O O O 2 15 Gives an introduction to abstract commutative algebra and shows how it both arises naturally, and is a useful tool, in number theory.

Complex functions MATH243

C C C O O O O C C C 2 15 Introduces students to a surprising, very beautiful theory having intimate connections with other areas of mathematics and physical sciences, for instance ordinary and partial differential equations and potential theory.

Condensed matter physics PHYS202

C 2 15 Explores the most important and basic concepts in condensed matter physics relating to different materials.

Corporate financial management ACFI213

C 1 15 Introduces students to the modern theory of finance and financial management.

Differential equations MATH221

C C C O O O O C O C C C 1 15 Introduces fundamental techniques for the solution of the ordinary and partial differential equations encountered in the applications of mathematics.

Econometrics I ECON212

C 1 15 Students will be introduced to econometrics, a branch of economics aimed at providing rigorous statistical techniques to test, empirically, the validity of economic hypotheses and economic models using real world data.

Electromagnetism I PHYS201 C 1 15 Examines the fundamental concepts and principles of electrostatics, magnetostatics, electromagnetism, Maxwell’s equations, and electromagnetic waves.

Financial management for business ACFI205

C 1 15 Develop a fundamental understanding of projected financial statements, time value for money, risk versus return and basic aspects of market efficiency.

Financial mathematics MATH262

C C 1 15 Provides an understanding of the fundamental concepts of financial mathematics theory used in the study process of actuarial/financial interest.


O O O O O O O 2 15 Introduces the basic financial mathematics theory required in actuarial and financial processes.

Financial reporting and finance ACFI290

C 2 15 Develops the ability to interpret published financial statements with respect to performance, liquidity and efficiency.



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Advanced French V+VI FREN256


Advanced French VII FREN207


Advanced French VII + VIII FREN278


Advanced French VIII FREN208


Business ethics PHIL272 C 2 15 Learn about business ethics, ethical challenges and the social responsibility of business organisations.

Business in the global economy MKIB225

C 2 15 Explore business strategies and behaviour as part of the dynamic interactions within the world economy.

Classical mechanics MATH228

O O O O O O O C C C 2 15 Provides an understanding of the principles of classical mechanics and their application to simple dynamical systems.

Commutative algebra MATH247

O O O O O O O 2 15 Gives an introduction to abstract commutative algebra and shows how it both arises naturally, and is a useful tool, in number theory.

Complex functions MATH243

C C C O O O O C C C 2 15 Introduces students to a surprising, very beautiful theory having intimate connections with other areas of mathematics and physical sciences, for instance ordinary and partial differential equations and potential theory.

Condensed matter physics PHYS202

C 2 15 Explores the most important and basic concepts in condensed matter physics relating to different materials.

Corporate financial management ACFI213

C 1 15 Introduces students to the modern theory of finance and financial management.

Differential equations MATH221

C C C O O O O C O C C C 1 15 Introduces fundamental techniques for the solution of the ordinary and partial differential equations encountered in the applications of mathematics.

Econometrics I ECON212

C 1 15 Students will be introduced to econometrics, a branch of economics aimed at providing rigorous statistical techniques to test, empirically, the validity of economic hypotheses and economic models using real world data.

Electromagnetism I PHYS201 C 1 15 Examines the fundamental concepts and principles of electrostatics, magnetostatics, electromagnetism, Maxwell’s equations, and electromagnetic waves.

Financial management for business ACFI205

C 1 15 Develop a fundamental understanding of projected financial statements, time value for money, risk versus return and basic aspects of market efficiency.


C C 1 15 Provides an understanding of the fundamental concepts of financial mathematics theory used in the study process of actuarial/financial interest.


O O O O O O O 2 15 Introduces the basic financial mathematics theory required in actuarial and financial processes.

Financial reporting and finance ACFI290

C 2 15 Develops the ability to interpret published financial statements with respect to performance, liquidity and efficiency.


Continued over...


Core and selected optional modules overview Year Two (continued)

Life insurance mathematics MATH273

C 1 15 An introduction to mathematical methods for managing the risk in life insurance.

Linear algebra and geometry MATH244

C C C O O O O 2 15 Introduces general concepts of linear algebra and its applications in geometry and other areas of mathematics.

Macroeconomics I ECON223 C 1 15 Extends the study of macroeconomic theory to the intermediate level. To analyse the classical and Keynesian macroeconomic models, and their policy implications.

Macroeconomics II ECON224 O 2 15 Further extends the study of macroeconomics theory at the intermediate level by analysing business-cycle fluctuations in closed and open economies.

Mathematical economics II ECON211

O 2 15 Deepens students’ knowledge of mathematical models and techniques in the study of Economics.

Mathematics education and communication MATH291

O O O 1 and 2 15 Improves communication skills; introduces current pedagogical practice and issues related to child protection; MATH291 encourages students to reflect on mathematics with which they are familiar in a teaching context.

Metric spaces and calculus MATH242

O O O O O O O 2 15 Introduces the basic elements of the theories of metric spaces and calculus of several variables.

Microeconomics I ECON221 C C 1 15 Intermediate level microeconomic theory. It develops and extends three of the topics introduced in principles of microeconomics, namely, consumer theory, producer theory and general equilibrium.

Microeconomics II ECON222 C 1 15 Continues to develop intermediate level microeconomic theory intermediate level microeconomic theory.

Nuclear and particle physics PHYS204

C 2 15 Introduces particle physics, including interactions, reactions and decay.

Numerical methods MATH226 O O O O O O O 2 15 Provides an introduction to the main topics in numerical analysis, and shows how the theory can be implemented in a computer programming language, enabling us to find approximate solutions to problems that cannot be solved exactly.

Operational research with group projects MATH269

O O O O O O O 2 15 Introduces and develops the mathematics of optimisation and decision making in real-world contexts.

Physics research internship PHYS309

O O Summer 15 Takes place during summer between second and third year.

Principles of people management ULMS207

C 1 15 Develops the knowledge and understanding of what is meant by managerial ‘effectiveness’.

Quantum and atomic physics I PHYS203

C 1 15 Introduces students to the concepts of quantum theory.

Securities markets ECON244 O 2 15 Provides an understanding of the role of securities markets in the economy, their basic mechanics and technical features, the valuation of financial assets and the operational and allocative efficiency of the market.

Statistics and probability I MATH253

C C C O O O O C C 1 15 This module introduces important statistical methods and tests such as simple linear regression and one-way ANOVA. It will also introduce statistical distribution theory.




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Life insurance mathematics MATH273

C 1 15 An introduction to mathematical methods for managing the risk in life insurance.

Linear algebra and geometry MATH244

C C C O O O O 2 15 Introduces general concepts of linear algebra and its applications in geometry and other areas of mathematics.

Macroeconomics I ECON223 C 1 15 Extends the study of macroeconomic theory to the intermediate level. To analyse the classical and Keynesian macroeconomic models, and their policy implications.

Macroeconomics II ECON224 O 2 15 Further extends the study of macroeconomics theory at the intermediate level by analysing business-cycle fluctuations in closed and open economies.


O 2 15 Deepens students’ knowledge of mathematical models and techniques in the study of Economics.

Mathematics education and communication MATH291

O O O 1 and 2 15 Improves communication skills; introduces current pedagogical practice and issues related to child protection; MATH291 encourages students to reflect on mathematics with which they are familiar in a teaching context.

Metric spaces and calculus MATH242

O O O O O O O 2 15 Introduces the basic elements of the theories of metric spaces and calculus of several variables.

Microeconomics I ECON221 C C 1 15 Intermediate level microeconomic theory. It develops and extends three of the topics introduced in principles of microeconomics, namely, consumer theory, producer theory and general equilibrium.

Microeconomics II ECON222 C 1 15 Continues to develop intermediate level microeconomic theory intermediate level microeconomic theory.

Nuclear and particle physics PHYS204

C 2 15 Introduces particle physics, including interactions, reactions and decay.

Numerical methods MATH226 O O O O O O O 2 15 Provides an introduction to the main topics in numerical analysis, and shows how the theory can be implemented in a computer programming language, enabling us to find approximate solutions to problems that cannot be solved exactly.

Operational research with group projects MATH269

O O O O O O O 2 15 Introduces and develops the mathematics of optimisation and decision making in real-world contexts.

Physics research internship PHYS309

O O Summer 15 Takes place during summer between second and third year.

Principles of people management ULMS207

C 1 15 Develops the knowledge and understanding of what is meant by managerial ‘effectiveness’.

Quantum and atomic physics I PHYS203

C 1 15 Introduces students to the concepts of quantum theory.

Securities markets ECON244 O 2 15 Provides an understanding of the role of securities markets in the economy, their basic mechanics and technical features, the valuation of financial assets and the operational and allocative efficiency of the market.

Statistics and probability I MATH253

C C C O O O O C C 1 15 This module introduces important statistical methods and tests such as simple linear regression and one-way ANOVA. It will also introduce statistical distribution theory.



Continued over...


Core and selected optional modules overview Year Three

Module title G100 G101 GG13 GL11 GR11* G19R GN11 G1N3 NG31 FGH1 FG31 F344 Semester Credit Module description


Actuarial models MATH376 C 2 15 Develops the understanding of differences between stochastic and determinist modelling and how to model actuarial data.

Advanced macroeconomics ECON343

C 2 15 Introduces formal modelling techniques and considers alternative business cycle models.

Advanced microeconomics ECON342

C 1 15 Develops an understanding of the market failure resulting from asymmetric information.

Applied probability MATH362 O O C O O O O C C 1 15 Introduces empirical phenomena for which stochastic processes provide suitable mathematical models.

Applied stochastic models MATH360

O O O O O O O O 2 15 Continues developing the understanding of the methods of stochastic to model building for ‘dynamic’ events occurring over time or space.

Cartesian tensors and mathematical models of solids and viscous fluids MATH324

O O O O O O O O O O 1 15 Provides an introduction to the mathematical theory of viscous fluid flows and solid elastic materials. Cartesian tensors are first introduced.

Chaos and dynamical systems MATH322

O O O 1 15 Develops expertise in dynamical systems in general and study particular systems in detail.

Combinatorics MATH344 O O O O O O O 2 15 Provides an introduction to the problems and methods of combinatorics, particularly to those areas of the subject with the widest applications such as pairings problems, the inclusion-exclusion principle, recurrence relations, partitions and the elementary theory of symmetric functions.

Complex dynamics MATH345 O O O O O O O O O O 2 15 Provides an introduction to the rich and fascinating area of complex dynamics.

Derivative securities ACFI310 O 2 15 Examine derivative securities, the theory and practical applications of how to value these assets and the use of derivatives in arbitrage, hedging and speculation.


Statistics and probability II MATH254

O O C O O O O C C 2 15 Extends the knowledge of the statistical distribution theory, and introduces non-parametric tests and different estimation methods.

Theory of interest MATH267 C C 1 15 This module provides an understanding of the fundamental concepts of financial mathematics, and how these concepts are applied in calculating present and accumulated values for various streams of cash flows.

Vector calculus with applications in fluids and electromagnetism MATH225

C C C O O O O C C C 1 15 Provides an understanding of the various vector integrals, the operators div, grad and curl and the relations between them. Gives an appreciation of the many applications of vector calculus to physical situations. Provides an introduction to the subjects of fluid mechanics and electromagnetism.

Core and selected optional modules overview Year Two (continued)



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Actuarial models MATH376 C 2 15 Develops the understanding of differences between stochastic and determinist modelling and how to model actuarial data.

Advanced macroeconomics ECON343

C 2 15 Introduces formal modelling techniques and considers alternative business cycle models.

Advanced microeconomics ECON342

C 1 15 Develops an understanding of the market failure resulting from asymmetric information.

Applied probability MATH362 O O C O O O O C C 1 15 Introduces empirical phenomena for which stochastic processes provide suitable mathematical models.

Applied stochastic models MATH360

O O O O O O O O 2 15 Continues developing the understanding of the methods of stochastic to model building for ‘dynamic’ events occurring over time or space.

Cartesian tensors and mathematical models of solids and viscous fluids MATH324

O O O O O O O O O O 1 15 Provides an introduction to the mathematical theory of viscous fluid flows and solid elastic materials. Cartesian tensors are first introduced.

Chaos and dynamical systems MATH322

O O O 1 15 Develops expertise in dynamical systems in general and study particular systems in detail.

Combinatorics MATH344 O O O O O O O 2 15 Provides an introduction to the problems and methods of combinatorics, particularly to those areas of the subject with the widest applications such as pairings problems, the inclusion-exclusion principle, recurrence relations, partitions and the elementary theory of symmetric functions.

Complex dynamics MATH345 O O O O O O O O O O 2 15 Provides an introduction to the rich and fascinating area of complex dynamics.

Derivative securities ACFI310 O 2 15 Examine derivative securities, the theory and practical applications of how to value these assets and the use of derivatives in arbitrage, hedging and speculation.


*Y3 GR11 = Year Abroad. The following modues will be taken in the final academic year.

Statistics and probability II MATH254

O O C O O O O C C 2 15 Extends the knowledge of the statistical distribution theory, and introduces non-parametric tests and different estimation methods.

Theory of interest MATH267 C C 1 15 This module provides an understanding of the fundamental concepts of financial mathematics, and how these concepts are applied in calculating present and accumulated values for various streams of cash flows.

Vector calculus with applications in fluids and electromagnetism MATH225

C C C O O O O C C C 1 15 Provides an understanding of the various vector integrals, the operators div, grad and curl and the relations between them. Gives an appreciation of the many applications of vector calculus to physical situations. Provides an introduction to the subjects of fluid mechanics and electromagnetism.


Continued over...


Core and selected optional modules overview Year Three (continued)


Differential geometry MATH349

O O O O O O O O O O 1 15 An introduction to the methods of differential geometry, applied in concrete situations to the study of curves and surfaces in Euclidean 3-space.

E-business models and strategy EBUS301

O 1 15 Students will explore the world of technology and how E-business is an essential tool for the modern business strategy.

Electromagnetism II PHYS370 O O 2 15 Expands knowledge on electricity, magnetism and waves by understanding a range of electromagnetic phenomena in terms of Maxwell’s equations.

Energy generation and Storage PHYS372

O O 2 7.5 Explores physical concepts related to key sources of energy generation and carry out related analysis.

Events management MKIB367 O 1 15 Develops knowledge of project management, quality management, sector and market analysis, law and planning to deliver successful events.

Finance and markets ACFI341 O 2 15 Further develop understanding of the recent global financial crisis and risk management and measurement.

Financial and actuarial modelling in R MATH377

C C 2 15 Focuses on the applications of actuarial and financial mathematics using the programming language R.

Further methods of applied mathematics MATH323

O O O O O O O O O C C O 1 15 Gives an insight into some specific methods for solving important types of ordinary differential equations. Provides a basic understanding of the calculus of variations and to illustrate the techniques using simpleexamples in a variety of areas in mathematics and physics.

Game theoretical approaches to microeconomics ECON322

C 1 15 An introduction to game theory and the study of strategic interactions and competitive behaviour.

Global strategic management MKIB351

O 1 15 Provides up-to-date coverage of global strategy, institutional analysis and competition in and from emerging economies.

Group theory MATH343 O O O O O O O 1 15 Introduces the basic techniques of finite group theory with the objective of explaining the ideas needed to solve classification results.

Industrial organisation ECON333

C 2 15 Students learn how to apply the tools of microeconomics to the analysis of firms, markets and industries in order to understand the nature and consequences of the process of competition.

International marketing MKIB356

O 1 15 Develops understanding of marketing in the new world order and how to appreciate the difference between doing business locally, nationally, regionally and globally.

International trade ECON335 O O 1 15 Develop an appreciation and understanding of basic principles determining the observed patterns of trade in the increasingly globalised world economy.

Law and economics ECON360 C 2 15 Introduces students to the tools of economic analysis to understand the basic structure and function of the law.

Life Insurance mathematics II MATH373

C 2 15 Examines life insurance including life contingencies for multiple life, analysis of life assurance, life annuities, pension contracts, multi-state models and profit testing.

Linear statistical models MATH363

O O C O O O O O 1 15 Understand how regression methods for continuous data extend to include multiple continuous and categorical predictors, and categorical response variables.

Magnetic properties of solids PHYS399

O O 2 7.5 Develop an understanding of the phenomena and fundamental mechanisms of magnetism in condensed matter.




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Differential geometry MATH349

O O O O O O O O O O 1 15 An introduction to the methods of differential geometry, applied in concrete situations to the study of curves and surfaces in Euclidean 3-space.

E-business models and strategy EBUS301

O 1 15 Students will explore the world of technology and how E-business is an essential tool for the modern business strategy.

Electromagnetism II PHYS370 O O 2 15 Expands knowledge on electricity, magnetism and waves by understanding a range of electromagnetic phenomena in terms of Maxwell’s equations.

Energy generation and Storage PHYS372

O O 2 7.5 Explores physical concepts related to key sources of energy generation and carry out related analysis.

Events management MKIB367 O 1 15 Develops knowledge of project management, quality management, sector and market analysis, law and planning to deliver successful events.

Finance and markets ACFI341 O 2 15 Further develop understanding of the recent global financial crisis and risk management and measurement.

Financial and actuarial modelling in R MATH377

C C 2 15 Focuses on the applications of actuarial and financial mathematics using the programming language R.

Further methods of applied mathematics MATH323

O O O O O O O O O C C O 1 15 Gives an insight into some specific methods for solving important types of ordinary differential equations. Provides a basic understanding of the calculus of variations and to illustrate the techniques using simpleexamples in a variety of areas in mathematics and physics.

Game theoretical approaches to microeconomics ECON322

C 1 15 An introduction to game theory and the study of strategic interactions and competitive behaviour.

Global strategic management MKIB351

O 1 15 Provides up-to-date coverage of global strategy, institutional analysis and competition in and from emerging economies.

Group theory MATH343 O O O O O O O 1 15 Introduces the basic techniques of finite group theory with the objective of explaining the ideas needed to solve classification results.

Industrial organisation ECON333

C 2 15 Students learn how to apply the tools of microeconomics to the analysis of firms, markets and industries in order to understand the nature and consequences of the process of competition.

International marketing MKIB356

O 1 15 Develops understanding of marketing in the new world order and how to appreciate the difference between doing business locally, nationally, regionally and globally.

International trade ECON335 O O 1 15 Develop an appreciation and understanding of basic principles determining the observed patterns of trade in the increasingly globalised world economy.

Law and economics ECON360 C 2 15 Introduces students to the tools of economic analysis to understand the basic structure and function of the law.

Life Insurance mathematics II MATH373

C 2 15 Examines life insurance including life contingencies for multiple life, analysis of life assurance, life annuities, pension contracts, multi-state models and profit testing.

Linear statistical models MATH363

O O C O O O O O 1 15 Understand how regression methods for continuous data extend to include multiple continuous and categorical predictors, and categorical response variables.

Magnetic properties of solids PHYS399

O O 2 7.5 Develop an understanding of the phenomena and fundamental mechanisms of magnetism in condensed matter.




Continued over...




Managing knowledge for innovation ULMS352

C 2 15 Introduces core theories and current issues concerning knowledge management with the aim of fostering innovation.

Materials physics and characterisation PHYS387

O O 1 7.5 Students will develop an understanding of the experimental techniques of materials characterisation.

Mathematical biology MATH335

O O O O O O O 2 15 Develops skills for the construction and analysis of models for a wide range of biological systems.

Mathematical economics MATH331

O O O O O O O O O O O 2 15 Explores, from a game-theoretic point of view, models which have been used to understand phenomena in which conflict and cooperation occur.


O 2 15 Deepens students’ knowledge of mathematical models and techniques in the study of economics.

Mathematical physics MATH334

O 2 15 Students will study an area of theoretical physics in depth and report on it.

Mathematical risk theory MATH366

O O O O O O O O C 2 15 Provides an understanding of the mathematical risk theory used in the study process of actuarial interest.

Measure theory and probability MATH365

O O O O O O O O 2 15 Provides a sufficiently deep introduction to the measure and probability theory and to the Lebesgue theory of integration. In particular, this module aims to provide a solid background for the modern probability theory which is essential for financial mathematics.

Medical statistics MATH364 O O O O O O O 2 15 Demonstrates the purpose of medical statistics and the role it plays in the control of disease and promotion of health.

Methods of economic investigation: time series econometrics ECON311

C 2 15 Develop econometric theories for time series analysis building upon the materials learnt in ECON212.

Networks for mathematical biology MATH338

O O O O O O O 2 15 Provides a discussion of networks as they occur in the real world and develops mathematical techniques to analyse them.

Networks in theory and practice MATH367

O O O O O O O O 2 15 Develops an appreciation of network models for real world problems.

Nuclear physics PHYS375 O O 1 7.5 Develops understanding of the modern view of nuclei, how they are modelled and of nuclear decay processes.

Nuclear power PHYS376 O O 2 7.5 Focuses on nuclear reactors as a source of energy for use by society.

Number theory MATH342 O O O O O O O 1 15 Gives an account of elementary number theory with use of certain algebraic methods and to apply the concepts to problem solving.

Numerical analysis for financial mathematics MATH371

C 2 15 Numerically solve general optimisation and root finding problems and run simulations for pricing (ODE’s and SDE’s).

Numerical methods for PDEs MATH336

O O O O O O O O O O O 2 15 Introduces techniques for finding approximate solutions to differential equations that cannot be solved exactly, which can be used for modelling many phenomena in physics and engineering. Short computer programs will be developed to solve a range of practical problems.

Operational research MATH357

O O C O O O O O 1 15 Introduces the theory of multi-objective and constrained optimisation as well as the elementary optimal control theory.




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Managing knowledge for innovation ULMS352

C 2 15 Introduces core theories and current issues concerning knowledge management with the aim of fostering innovation.

Materials physics and characterisation PHYS387

O O 1 7.5 Students will develop an understanding of the experimental techniques of materials characterisation.

Mathematical biology MATH335

O O O O O O O 2 15 Develops skills for the construction and analysis of models for a wide range of biological systems.

Mathematical economics MATH331

O O O O O O O O O O O 2 15 Explores, from a game-theoretic point of view, models which have been used to understand phenomena in which conflict and cooperation occur.


O 2 15 Deepens students’ knowledge of mathematical models and techniques in the study of economics.

Mathematical physics MATH334

O 2 15 Students will study an area of theoretical physics in depth and report on it.

Mathematical risk theory MATH366

O O O O O O O O C 2 15 Provides an understanding of the mathematical risk theory used in the study process of actuarial interest.

Measure theory and probability MATH365

O O O O O O O O 2 15 Provides a sufficiently deep introduction to the measure and probability theory and to the Lebesgue theory of integration. In particular, this module aims to provide a solid background for the modern probability theory which is essential for financial mathematics.

Medical statistics MATH364 O O O O O O O 2 15 Demonstrates the purpose of medical statistics and the role it plays in the control of disease and promotion of health.

Methods of economic investigation: time series econometrics ECON311

C 2 15 Develop econometric theories for time series analysis building upon the materials learnt in ECON212.

Networks for mathematical biology MATH338

O O O O O O O 2 15 Provides a discussion of networks as they occur in the real world and develops mathematical techniques to analyse them.

Networks in theory and practice MATH367

O O O O O O O O 2 15 Develops an appreciation of network models for real world problems.

Nuclear physics PHYS375 O O 1 7.5 Develops understanding of the modern view of nuclei, how they are modelled and of nuclear decay processes.

Nuclear power PHYS376 O O 2 7.5 Focuses on nuclear reactors as a source of energy for use by society.

Number theory MATH342 O O O O O O O 1 15 Gives an account of elementary number theory with use of certain algebraic methods and to apply the concepts to problem solving.

Numerical analysis for financial mathematics MATH371

C 2 15 Numerically solve general optimisation and root finding problems and run simulations for pricing (ODE’s and SDE’s).

Numerical methods for PDEs MATH336

O O O O O O O O O O O 2 15 Introduces techniques for finding approximate solutions to differential equations that cannot be solved exactly, which can be used for modelling many phenomena in physics and engineering. Short computer programs will be developed to solve a range of practical problems.

Operational research MATH357

O O C O O O O O 1 15 Introduces the theory of multi-objective and constrained optimisation as well as the elementary optimal control theory.




Continued over...



Particle physics PHYS377 O O 2 7.5 Students will develop an understanding of the modern view of particles, of their interactions and the Standard Model.

Population dynamics MATH332

O O O 2 15 Explores the classical models of population dynamics.

Practical physics III PHYS306 O C O 1 15 Further training in laboratory techniques.

Professional projects and employability in mathematics MATH390

O O O O 1 15 The aim of this module is to further develop students’ problem solving abilities and their ability to select techniques and apply mathematical knowledge to authentic work-style situations. You will develop your ability to communicate mathematical results to audiences of differing technical ability, including other mathematicians, business clients and the general public.

Proficient French XI FREN311 C 1 15 A continuation of developing student’s language skills to an advanced level in reading, writing, listening and speaking in French.

Proficient French XII FREN312 C 2 15 Continuation of FREN312, developing language skills to advanced level.

Project (BSc) PHYS379 C 2 15 An opportunity to experience working independently on an original physics-based or physics-related problem.

Psychological approaches to decision-making ULMS351

C 1 15 Examines why decisions involving uncertainty run the risk of failure and why unwise or good decisions are made.

Quantitative business finance ACFI314

C 2 15 Provides a fundamental understanding of the core theoretical and empirical aspects involved in corporate finance.



Quantum mechanics MATH325

O O O O O O O C C C 1 15 Develops an understanding of the way that relatively simple mathematics (in modern terms) led Bohr, Einstein, Heisenberg and others to a radical change and improvement in our understanding of the microscopic world.

Relativity MATH326 O O O O O O O C C C 1 15 Explores the physical principles behind special and general relativity and their main consequence.

Relativity and cosmology PHYS374

O O 2 15 Provides students with a full and rounded introduction to modern observational cosmology.

Semiconductor applications PHYS389

O O 1 7.5 Develops the physics concepts to understand the construction and operation of common semiconductor devices.

Solid state physics PHYS363 O O 1 7.5 Continues to develop knowledge on concepts which relate to solids.

Strategic management and business policy ULMS353

C 2 15 An overview of perspectives and explains the centrality of strategic purpose, strategic analysis and business, corporate and global levels of strategy.

Statistical methods in actuarial science MATH374

C 2 15 Covers the application of statistical methodologies and technique into actuarial sets of data.

Statistical physics PHYS393 O O 1 7.5 Builds on material presented in earlier Thermal Physics and Quantum Mechanics courses.

Statistical physics MATH327 O O O O O O O O O O 2 15 Introduces the foundations of statistical physics and develops an understanding of the stochastic roots of thermodynamics and the sometimes-illusive properties of matter.





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Particle physics PHYS377 O O 2 7.5 Students will develop an understanding of the modern view of particles, of their interactions and the Standard Model.

Population dynamics MATH332

O O O 2 15 Explores the classical models of population dynamics.

Practical physics III PHYS306 O C O 1 15 Further training in laboratory techniques.

Professional projects and employability in mathematics MATH390

O O O O 1 15 The aim of this module is to further develop students’ problem solving abilities and their ability to select techniques and apply mathematical knowledge to authentic work-style situations. You will develop your ability to communicate mathematical results to audiences of differing technical ability, including other mathematicians, business clients and the general public.

Proficient French XI FREN311 C 1 15 A continuation of developing student’s language skills to an advanced level in reading, writing, listening and speaking in French.

Proficient French XII FREN312 C 2 15 Continuation of FREN312, developing language skills to advanced level.

Project (BSc) PHYS379 C 2 15 An opportunity to experience working independently on an original physics-based or physics-related problem.

Psychological approaches to decision-making ULMS351

C 1 15 Examines why decisions involving uncertainty run the risk of failure and why unwise or good decisions are made.

Quantitative business finance ACFI314

C 2 15 Provides a fundamental understanding of the core theoretical and empirical aspects involved in corporate finance.



Quantum mechanics MATH325

O O O O O O O C C C 1 15 Develops an understanding of the way that relatively simple mathematics (in modern terms) led Bohr, Einstein, Heisenberg and others to a radical change and improvement in our understanding of the microscopic world.

Relativity MATH326 O O O O O O O C C C 1 15 Explores the physical principles behind special and general relativity and their main consequence.

Relativity and cosmology PHYS374

O O 2 15 Provides students with a full and rounded introduction to modern observational cosmology.

Semiconductor applications PHYS389

O O 1 7.5 Develops the physics concepts to understand the construction and operation of common semiconductor devices.

Solid state physics PHYS363 O O 1 7.5 Continues to develop knowledge on concepts which relate to solids.

Strategic management and business policy ULMS353

C 2 15 An overview of perspectives and explains the centrality of strategic purpose, strategic analysis and business, corporate and global levels of strategy.

Statistical methods in actuarial science MATH374

C 2 15 Covers the application of statistical methodologies and technique into actuarial sets of data.

Statistical physics PHYS393 O O 1 7.5 Builds on material presented in earlier Thermal Physics and Quantum Mechanics courses.

Statistical physics MATH327 O O O O O O O O O O 2 15 Introduces the foundations of statistical physics and develops an understanding of the stochastic roots of thermodynamics and the sometimes-illusive properties of matter.




Continued over...



Statistics for physics analysis PHYS392

O O 1 15 A theoretical and practical understanding of the statistical principles involved in the analysis and interpretation of data.

Stochastic modelling in insurance and finance MATH375

C 2 15 Explores stochastic modelling and its applications in different actuarial/ financial problems.

Stochastic theory and methods in data science MATH368

O O O O 2 15 Use of probability theory and stochastic methods in two ways: by studying models and by using data.

Summer industrial placement project MATL391

O O O O O Summer 15 Provides an opportunity to carry out a mathematical investigation of problems in communication with an industrial partner.

Surface physics(surfaces and interfaces) PHYS381

O O 2 7.5 Conveys an understanding of the physical properties of surfaces.



Topology MATH346 O O O O O O O 2 15 Introduces topological spaces through a wide range of examples and explores their basic properties, cumulating in a discussion of the fundamental group of a space.




Core and selected optional modules overview Year Four

Module title G101 FGH1 F344 Semester Credit Module description

Accelerator physics PHYS481 O O 1 7.5 Study the functional principle of different types of particle accelerators.

Advanced nuclear physics PHYS490 O O 2 15 Continues to develop students’ understanding of nuclear physics to an advanced level.

Advanced particle physics PHYS493 O O 2 15 Advanced level knowledge of particle physics.

Advanced quantum physics PHYS480 C C 1 15 Discuss modern concepts and advanced quantum mechanics in depth, supported by complex calculations.

Advanced topics in mathematical biology MATH426

O O O 2 15 Introduces problems of contemporary mathematical biology, including analysis of developmental processes, networks and biological mechanics.

Algebraic geometry MATH448 O 2 15 Provides an introduction to algebraic geometry, concentrating on the detailed elaboration of instructive examples illustrating fundamental concepts and phenomena.

Asymptotic methods for differential equations MATH433

O O O 2 15 Introduction to the theory of asymptotic series and methods of analysis of solutions to regularly and singularly perturbed boundary value problems.

Classical mechanics PHYS470 O O 1 15 Examines the physical principles that can be applied to understand important features of classical mechanical systems.

Curves and singularities MATH443 O 1 15 Shows singularity theory can be applied to a variety of geometrical problems.

Differentiable functions MATH455 O 1 15 Provides an introduction to the calculus side of singularity theory, which has numerous applications in mathematics, the natural sciences, and technology.


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Statistics for physics analysis PHYS392

O O 1 15 A theoretical and practical understanding of the statistical principles involved in the analysis and interpretation of data.

Stochastic modelling in insurance and finance MATH375

C 2 15 Explores stochastic modelling and its applications in different actuarial/ financial problems.

Stochastic theory and methods in data science MATH368

O O O O 2 15 Use of probability theory and stochastic methods in two ways: by studying models and by using data.

Summer industrial placement project MATL391

O O O O O Summer 15 Provides an opportunity to carry out a mathematical investigation of problems in communication with an industrial partner.

Surface physics(surfaces and interfaces) PHYS381

O O 2 7.5 Conveys an understanding of the physical properties of surfaces.



Topology MATH346 O O O O O O O 2 15 Introduces topological spaces through a wide range of examples and explores their basic properties, cumulating in a discussion of the fundamental group of a space.





Accelerator physics PHYS481 O O 1 7.5 Study the functional principle of different types of particle accelerators.

Advanced nuclear physics PHYS490 O O 2 15 Continues to develop students’ understanding of nuclear physics to an advanced level.

Advanced particle physics PHYS493 O O 2 15 Advanced level knowledge of particle physics.

Advanced quantum physics PHYS480 C C 1 15 Discuss modern concepts and advanced quantum mechanics in depth, supported by complex calculations.

Advanced topics in mathematical biology MATH426

O O O 2 15 Introduces problems of contemporary mathematical biology, including analysis of developmental processes, networks and biological mechanics.

Algebraic geometry MATH448 O 2 15 Provides an introduction to algebraic geometry, concentrating on the detailed elaboration of instructive examples illustrating fundamental concepts and phenomena.

Asymptotic methods for differential equations MATH433

O O O 2 15 Introduction to the theory of asymptotic series and methods of analysis of solutions to regularly and singularly perturbed boundary value problems.

Classical mechanics PHYS470 O O 1 15 Examines the physical principles that can be applied to understand important features of classical mechanical systems.

Curves and singularities MATH443 O 1 15 Shows singularity theory can be applied to a variety of geometrical problems.

Differentiable functions MATH455 O 1 15 Provides an introduction to the calculus side of singularity theory, which has numerous applications in mathematics, the natural sciences, and technology.

Continued over...



Core and selected optional modules overview Year Four (continued)

Elliptic curves MATH444 O 2 15 An introduction to the problems and methods in the theory of elliptic curves.

Geometry of continued fractions MATH447

O 2 15 Explore geometric ideas behind regular continued fractions including geometrical meanings of classical theorems.

Higher arithmetic MATH441 O 1 15 Provides an introduction to topics in analytic number theory, including the worst and average case behaviour of arithmetic functions, properties of the Riemann zeta function, and the distribution of prime numbers.

Introduction to knot theory and low dimensional topology MATH456

O 1 15 Introduces some important topological invariants of knots.

Introduction to modern particle theory MATH431

O O O 2 15 Develops the concepts of the Standard Model of particle physics.

Introduction to string theory MATH423 O O O 2 15 Provides a broad understanding of string theory, and its utilisation as a theory that unifies all of the known fundamental matter and interactions.

Linear differential operators in mathematical physics MATH421

O O O 1 15 The theory of partial differential equations, illustrative applications and practical examples in the theory of elliptic boundary value problems, wave propagation and diffusion problems.

Magnetic structure and function PHYS497

O O 1 7.5 Continues to build knowledge on Condensed matter physics.

Manifolds, homology and morse theory MATH410

O 1 15 Provides an introduction to the topology of manifolds, spaces which locally look like Euclidean space, emphasising the role of homology as an invariant, and of Morse Theory as a visualising and calculational tool.

Mathematical physics project MATH420

C C 1 and 2 30 Students will investigate and report on a topic at the boundary of current knowledge in theoretical physics.

Nanoscale physics and technology PHYS499

O O 2 15 Explores the current and active field of nanoscale physics and technology.

Neutrinos and dark matter PHYS492 O O 2 7.5 Explores neutrino physics and dark matter, including key experimental methods used in their detection.

Physics of life PHYS482 O O 2 7.5 Examines the physical principles that underpin the organisation and activity of living things.

Project for MMath MATH490 C 1 and 2 30 Demonstrates a critical understanding and historical appreciation of some branch of mathematics by means of directed reading and preparation of a report.

Project for MMath MATH499 O 1 or 2 30 Research and develop further understanding of branch of mathematics.

Quantum field theory MATH425 O O O 1 15 Provides a broad understanding of the essentials of quantum field theory.

Representation theory of finite groups MATH442

O 2 15 Introduces ideas of representation theory, one of the standard tools used in the investigation of finite groups, especially via the character of a representation.

Riemann surfaces MATH445 O 2 15 Introduces a theory at the core of modern mathematics. Students will learn how to handle some abstract geometric notions from an elementary point of view that relies on the theory of holomorphic functions.

Stochastic analysis and its applications MATH483

O 1 15 Demonstrates the advanced mathematical techniques underlying financial markets and the practical use of financial derivative products to analyse various problems arising in financial markets.

Theory of statistical inference MATH463

O 2 15 Concepts and principles which provide theoretical underpinning for the various statistical methods.

Variational calculus MATH430 O O O 1 15 A comprehensive introduction to the theory of the calculus of variations and considers a range illuminating applications and examples.

Waves: mathematical modelling MATH427

O O O 2 15 The mathematical theory of linear and non-linear waves. Illustrative applications involve problems of acoustics, gas dynamics and examples of solitary waves.




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Elliptic curves MATH444 O 2 15 An introduction to the problems and methods in the theory of elliptic curves.

Geometry of continued fractions MATH447

O 2 15 Explore geometric ideas behind regular continued fractions including geometrical meanings of classical theorems.

Higher arithmetic MATH441 O 1 15 Provides an introduction to topics in analytic number theory, including the worst and average case behaviour of arithmetic functions, properties of the Riemann zeta function, and the distribution of prime numbers.

Introduction to knot theory and low dimensional topology MATH456

O 1 15 Introduces some important topological invariants of knots.

Introduction to modern particle theory MATH431

O O O 2 15 Develops the concepts of the Standard Model of particle physics.

Introduction to string theory MATH423 O O O 2 15 Provides a broad understanding of string theory, and its utilisation as a theory that unifies all of the known fundamental matter and interactions.

Linear differential operators in mathematical physics MATH421

O O O 1 15 The theory of partial differential equations, illustrative applications and practical examples in the theory of elliptic boundary value problems, wave propagation and diffusion problems.

Magnetic structure and function PHYS497

O O 1 7.5 Continues to build knowledge on Condensed matter physics.

Manifolds, homology and morse theory MATH410

O 1 15 Provides an introduction to the topology of manifolds, spaces which locally look like Euclidean space, emphasising the role of homology as an invariant, and of Morse Theory as a visualising and calculational tool.

Mathematical physics project MATH420

C C 1 and 2 30 Students will investigate and report on a topic at the boundary of current knowledge in theoretical physics.

Nanoscale physics and technology PHYS499

O O 2 15 Explores the current and active field of nanoscale physics and technology.

Neutrinos and dark matter PHYS492 O O 2 7.5 Explores neutrino physics and dark matter, including key experimental methods used in their detection.

Physics of life PHYS482 O O 2 7.5 Examines the physical principles that underpin the organisation and activity of living things.

Project for MMath MATH490 C 1 and 2 30 Demonstrates a critical understanding and historical appreciation of some branch of mathematics by means of directed reading and preparation of a report.

Project for MMath MATH499 O 1 or 2 30 Research and develop further understanding of branch of mathematics.

Quantum field theory MATH425 O O O 1 15 Provides a broad understanding of the essentials of quantum field theory.

Representation theory of finite groups MATH442

O 2 15 Introduces ideas of representation theory, one of the standard tools used in the investigation of finite groups, especially via the character of a representation.

Riemann surfaces MATH445 O 2 15 Introduces a theory at the core of modern mathematics. Students will learn how to handle some abstract geometric notions from an elementary point of view that relies on the theory of holomorphic functions.

Stochastic analysis and its applications MATH483

O 1 15 Demonstrates the advanced mathematical techniques underlying financial markets and the practical use of financial derivative products to analyse various problems arising in financial markets.

Theory of statistical inference MATH463

O 2 15 Concepts and principles which provide theoretical underpinning for the various statistical methods.

Variational calculus MATH430 O O O 1 15 A comprehensive introduction to the theory of the calculus of variations and considers a range illuminating applications and examples.

Waves: mathematical modelling MATH427

O O O 2 15 The mathematical theory of linear and non-linear waves. Illustrative applications involve problems of acoustics, gas dynamics and examples of solitary waves.



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