2020 Mathematics Undergraduate brochure State-of-the-art facilities in a £60m purpose-built, sustainable building

One of the largest mathematics departments in Mathematics the UK at Most targeted UK university by top graduate employers

Industry input into development When I first visited the of our cutting-edge course content building I was impressed with the modern, ensures real-world relevance airy building and all the staff I spoke to were friendly and helpful. My other favourite thing is the pastoral care and support on offer. Ranked 6th in the Even though the Department is very large UK for mathematics (QS World University everyone is treated like an individual. Rankings 2019)

Erin Hales BSc Mathematics

3 Facilities

& resources My first impression of Manchester was amazement at how beautiful the city actually is Our facilities are second to none and provide students and how many different things you could do here. with the very best opportunities: The University made me feel at .

The Department is located in the A wide variety of software is available for Simona Stoycheva state-of-the-art, purpose-built and use by students, including office software, BSc Maths with Philosophy centrally-located Alan Turing building specialist mathematical and scientific software, and open source applications

Collaborative working labs, complete with specialist computing and audio visual 4 million books in one of the UK’s best equipment, to support group working university libraries.

Close supervision and pastoral care by an academic member during the whole degree course

4 5 Learning support The main advantage of studying here is the Peer support scheme Academic advisers large amount of contact time you get compared with Our peer support scheme is one of the largest in Study with us and you’ll be assigned an other courses - so far I’ve had an average of around 18 Europe. Peer mentors are higher-year students academic adviser who is there to give advice hours per week, which lets you really immerse yourself on the same degree programme as you, who about any academic issues throughout the will help you find your feet when you arrive here duration of your course. Your adviser will be in the subject, and your lecturers, supervisors, PASS and adjust to student life. As they’ll have already able to help you with the transition from school leaders and academic advisor will always be there to been a student at Manchester for at least a year, or college to university – and can help you get help … The list of optional course units is long and they should be able to help you with anything to grips with studying and learning more you might be worried or unsure about. independently. They’ll also be able to help diverse so you can either choose a variety or focus you develop your skills in academic writing entirely on a few disciplines in more depth. (Peer Assisted Study Sessions) or research, or any other skills that are specific PASS to your degree programme. Led by volunteer students, PASS sessions will Charlie Berthou often be based around a specific area of study. BSc Mathematics You’ll have the opportunity to consolidate Disability support and build on your existing knowledge through If you have additional needs arising from discussion with other students in an informal a medical condition, physical or sensory and supportive environment, where you can disability, a specific learning disability such compare notes, analyse, ask questions and as dyslexia, or a mental health difficulty that talk through ideas. affects your study, we can provide support. Contact or visit our Disability Advisory and Support Office before you apply, to discuss your needs and the support available. www.manchester.ac.uk/dass

Find out more about the personal and academic support available to you throughout your studies: www.manchester.ac.uk/study/experience/student-life/university/student-support

6 7 Which course?

Choosing your course Single Honours Joint Honours Year 1: Study a wide range of topics, including ‘Mathematics and X’ courses are 50% maths; pure maths, applied maths, statistics and ‘Mathematics with X’ courses are two-thirds probability. Learn how to use maths software maths. such as MATLAB. Year 1: Study a similar core of pure and applied Year 2: Half of your course units are choices, maths, statistics and probability. so you can start to specialise in some of the Further years: Enjoy some flexibility to areas listed above, or in financial maths or specialise with optional course units. logic.

Year 3: All course units are options and cover a wide variety of topics, so you can specialise further if you wish.

Apply Typical Skills and job opportunities Work-based placement How to apply You’ll develop transferable skills in problem Students also have the opportunity to spend www.manchester.ac.uk/study/ offer solving, organisation, logical thinking, a year on a work-based placement (except undergraduate/applications attention to detail and analysis and for students on the Mathematics with a interpretation of data. Modern Language course). This will give you Please note that the course units listed in BSc and MMath the opportunity to gain invaluable work-based this brochure only represent a sample of the A-level: A*AA-AAA Our maths graduates are in high demand, with experience and learn more about yourself full breadth of available units for each course. A-level Further Maths is preferred but not some of our most recent graduates securing and the workplace so that you’re better Units are reviewed on an annual basis and as essential. Those offering Further Maths are positions including accountants, actuaries, able to make good choices about a career such may vary slightly to those advertised. more likely to receive the AAA offer. engineers, software developers and post-graduation. IB: 36 points overall with 6,6,6 in Higher meteorologists. A significant number of our For up-to-date course information, Level subjects to include 6 in Higher Level students go on to postgraduate study. Many students who have a year placement including unit detail and entry requirements are taken on by the same employer once they Mathematics. Every year we run a maths-specific careers fair in full, visit our course finder: have finished their studies. The timing of the open to all maths students. It is attended by a www.manchester.ac.uk/undergraduate placement will depend on whether you’re For full details of our entry requirements: large number of employers from a wide variety studying a three- or four-year degree www.manchester.ac.uk/ugcourses of industries, and previous attendees include: programme. Whilst students wanting to take Amazon, Amec, Barclays, BP, Deloitte, HMRC, the work-based placement are responsible IBM, the Institute and Faculty of Actuaries, for finding their own placement, they’ll be Jaguar Land Rover and PwC. supported in this through a special programme set up to help them. This will be done by working closely with dedicated advisers from the Careers Service and support and mentoring within the Department.

8 9 Mathematics

This flexible single-honours undergraduate Year Sample course units degree programme offers you the widest choice of options. You’ll gain good all- > Sequences and Series 1 > Linear Algebra round mathematical knowledge and skills, > Calculus and Vectors together with the ability to experience more specialised results, methods and > Probability ideas. You’ll develop your capacity to 2 > Statistical Method learn and apply mathematical ideas, to > Discrete Mathematics understand the significance and power of mathematics, and to acquire a thorough 3 > Fractal Geometry knowledge and understanding of those > Coding Theory > Elasticity mathematical topics.

After your first three semesters, you can > Double Project 4 > Set Theory choose course units from a wide range > Stochastic Calculus of options and pursue the areas of mathematics that interest you most. You’ll also have the option to choose course units from other subject areas from your second year onwards.

BSc 3y G100 UCAS code MMath 4y G104

10 11 Mathematics and Statistics Develop your capacity to formulate and Year Sample course units analyse problems and to interpret scientific evidence using appropriate statistical > Introduction to Statistics 1 > Probability methodology. This degree will enhance > Foundations of Pure your knowledge and understanding Mathematics of basic mathematics, probability and statistics and will provide you with 2 > Real and Complex Analysis fundamental knowledge and skills, > Algebraic Structures and the basis for more advanced work. > Statistical Methods

You’ll develop your capacity to learn and 3 > Foundations of Finance apply mathematical and statistical ideas, > Mathematical Modelling in Finance to understand the significance and power > Extreme Values and of mathematics, and to acquire a thorough Financial Risk knowledge and understanding of mathematics and statistics. > Scientific Computing 4 > Statistical Inference > Multivariate Statistics

BSc 3y GGC3 UCAS code MMath 4y GG13

12 13 Actuarial Science Mathematics and Mathematics with Finance This course will provide you with a solid This degree is aimed at mathematics Year Sample course units Year Sample course units foundation in mathematics, together with students with a particular interest in specialist course units in Actuarial Science. > Microeconomics financial systems and includes a greater > Financial Decision Making 1 > Introduction to Statistics 1 > Fundamentals of Financial You’ll learn to use specialist mathematical > Financial Mathematics component of Accounting and Finance Reporting skills to measure the probability and risk of for Actuarial Science than some of our other courses. This > Calculus and Applications future events in financial industries. course provides a solid foundation in finance and covers the study of 2 > Real and Complex Analysis 2 > Investment Analysis Covering aspects of pure and applied > Probability international financial markets and > Foundations of Finance mathematics and statistics as well as > Actuarial Insurance > Introduction to Financial multinational corporate finance. Other Mathematics some more general mathematics, topics include financial reporting and as the course progresses, the statistical 3 > Statistical Inference investment analysis. You’ll study topics are explored in more detail. > Actuarial Models > Financial Derivatives > Risk Theory mathematics and finance in a ratio of 2:1. 3 > Advanced Corporate The BSc Mathematics with Finance is run Finance The BSc Actuarial Science and > Mathematical Modelling Mathematics programme is accredited jointly with the world-renowned Alliance in Finance (the programme is currently in the process Manchester Business School. of being re-accredited) by the Institute and Faculty of Actuaries. Students graduating from the programme may be recommended for exemption from the CS1, CS2, CM1, CB1 and CB2 subjects.

UCAS code BSc 3y NG31 UCAS code BSc 3y G1N3

14 15 Mathematics with Financial Mathematics This flexible degree programme is for Year Sample course units those interested in learning about some of the recent applications of mathematics > Foundations of Pure The career advice at the University is 1 Mathematics to the financial sector and pursuing a > Probability brilliant and always helpful. They can show you career in this area. This course will enable > Introduction to Statistics which jobs are best suited for you and your degree you to acquire a working knowledge to help start you thinking about your future after of models and procedures and modern 2 > Fundamentals of you graduate. financial mathematics as it’s applied in Management financial institutions as well as in the > Accounting Metric Spaces > Practical Statistics Karina Malone financial departments of national and BSc Mathematics international companies. > Statistical Modelling 3 in Finance After your first three semesters, you > Regression Analysis can choose course units from a wide > Statistical Computing range of options and pursue the areas of mathematics that interest you most. 4 > Computational Finance You’ll also have the option to choose > Stochastic Modelling in Finance course units from other subject areas > Corporate Governance There is a great sense of belonging and from your second year onwards. in Context support at the Department of Mathematics, from students, to lecturers, and staff in general.

Godiraone George BSc Mathematics with Finance

BSc 3y G1NH UCAS code MMath 4y G1NJ

16 17 Mathematics Mathematics with and Philosophy a Modern Language This joint-honours degree course, Increasingly, mathematics graduates with Year Sample course units Year Sample course units representing a close and fruitful strong language skills are in high demand. connection which has existed since > Introduction to Philosophy Combining mathematics with a modern > Calculus and Applications 1 of Mind 1 > Foundations of Pure the time of the ancient Greeks, explores > Foundations of Pure language will allow you to live and work Mathematics both mathematics and philosophy Mathematics abroad, widening your career options. > Modern Language side by side. While this course aims to > Introduction to Ethics provide you with an advanced level of This four-year joint-honours degree course 2 > Probability understanding about each subject, it also > Introduction to Logic combines a mathematics core with a choice > Partial Differential Equations 2 > Real Analysis of modern language; French, German or and Vector Calculus aims to let you explore the fascinating > Philosophy of Religion > Modern Language interplay between the two disciplines. Spanish. The third year of your studies is spent overseas, either at a university Both disciplines are given equal weight > Fractal Geometry studying mathematics, improving your The third year is spent 3 > Commutative Algebra 3 abroad; studying, working and each offers a wide range of options. > Personhood and Freedom language on an approved course, or or improving language skills In your final year you’ll carry out a of the Will undertaking approved paid work (in a school substantial philosophy dissertation and for instance). During your three years in > Applied Complex Analysis can also choose to complete a project Manchester, you study mathematics and 4 > Statistical Computing on a mathematical topic. your chosen language in the ratio 2:1. > Modern Language

UCAS code BSc 3y GV15 UCAS code BSc 3y G1R9

18 19 Career opportunities Mathematics graduates from The : 64% 21% Employed Further study

Salaries UK average £23,000 UK Maths £25,840 UoM Maths £26,003

Further study options PGCE MSc – 37% Secondary PGCE – 21% Education

Most popular qualifications Most popular course title Most popular institution

What our graduates do: Where our graduates work: Data Scientist Aardvark Hardware Engineer Swift Investment Analyst BP Actuarial Analyst Credit Suisse Statistician Royal London Prospects TPP

Source: HESA, Destinations of Leavers from Higher Education (DLHE)

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Women Maria Thorpe Ulla Karhumäki Team leader, Student Finance Modelling, PhD student in Mathematical Logic.

Department for Education, Sheffield. Maria “My research interests are in the branch of studied a PhD in Applied Mathematics, in the in science mathematical logic called model theory. The Department of Mathematics and also aim of my PhD is to prove some results which The Department of Mathematics actively works towards completed a three-month internship at the will help us to understand one of the main open House of Commons Library. generating an inclusive environment for all of our students problems in the area I am working on. A large and has recently been awarded an Athena SWAN Bronze “The House of Commons Library provides part of PhD studies in pure mathematics award for its commitment to the advancement and impartial research to MPs and their aides on is understanding the background and new topics that are relevant to their constituency. results properly. promotion of the careers of women in STEMM in higher Thanks to the research skills picked up over the I was part of the organising team of the British education and research. course of my PhD, I felt comfortable with the Postgraduate Model Theory Conference 2019, research process; distilling the question posed which is an annual meeting providing an Overall our student population’s gender balance is to its most important parts, skimming through opportunity for postgraduate students and significantly above the national averages, with 42% background material to get a feel for the topic, postdoctoral researchers in model theory to of our undergraduates and 47% of our postgraduate succinctly answering the problem, and present and discuss their work. Moreover, I was population being female.* highlighting areas of further interest. part of the organising team of the Manchester Working in the Palace of Westminster was a Research Students Conference 2017, which is Students benefit from a supportive study environment fantastic experience and getting to know a one-day meeting where PhD students in the and an exceptional technical education, coupled with first-hand how our parliament actually works was University of Manchester, in all areas of opportunities to develop strong communication and fascinating. I was able to attend debates and mathematics, present their work to each other. teamworking skills. select committee meetings and tour the palace Organising these meetings taught me a great archives and towers. One of the best parts of my deal and will definitely be useful in the future.

time there though was meeting the many To pursue a career as a mathematician in people, from lobbyists and select committee academia one needs many kinds of skills. Most clerks to library and party researchers. Read about our Women of Wonder: importantly one must, of course, enjoy doing www.se.manchester.ac.uk/people/women-of-wonder This experience provided new insights into the mathematics and be curious about (all kinds of) varied uses of both the technical and softer skills mathematics. Also, it is important to be able to Watch the stories of some of the women in our Faculty: developed throughout my PhD, and the importance work both by yourself and with other people, to www.mub.eps.manchester.ac.uk/science- of good communication. As an analyst in the civil explain your work both orally and in written form engineering/2017/03/06/women-of-wonder service, communicating results and caveats is and to teach students at different levels.” just as important as undertaking the analysis.” * Figures correct at 25 January 2019

22 23 At Manchester you’ll find a whole host of transformational academic and extracurricular Make your mark activities to help you stand out and make your mark on the world. You could even prove your abilities to potential employers by gaining a prestigious award. with Stellify We call this process Stellify: to change, or be changed, into a star.

Stellify offers you opportunities to develop and grow at a university leading the way in social responsibility. Here’s how.

Learn without boundaries Enjoy interdisciplinary, international and entrepreneurial study options outside I wanted to try something your course. completely new. Transforming unused and overgrown land into areas where fruit and vegetables can be grown gave my Understand the issues that matter volunteering an environmental focus. i Become ethically, socially and politically informed on some of humanity’s most Volunteering is a different experience pressing global issues. from study. For me, as a chemical engineering student, it’s enabled me to think outside my discipline, which Make a difference by its nature is very technical. Contribute to and learn from local and global communities through volunteering. Here at Manchester, volunteering is embedded in the very heart of the University’s culture – there are so many Step up and lead opportunities to try something new, Gain confidence and experience by which in turn can have such a positive assisting and inspiring your peers. impact on our communities. Create your future Explore countless opportunities for Alessia Xu professional career development. MEng Chemical Engineering with Industrial Experience

Read Alessia’s story at: www.manchester.ac.uk/make-your-mark www.manchester.ac.uk/stellify

24 25 MathSoc

MathSoc is a student run-society aimed You can find us on primarily at students of The Department of UoMMathSoc Mathematics. The Society presents an MathSoc is a great place to meet people opportunity for members to expand their UoMMathSoc network within the Department and hosts with similar interests and to make new friends! We UoMMathSoc events and activities relevant to members’ work with our sponsors to provide helpful (and fun) interests. The MathSoc office can be found in activities such as pub quizzes and networking events. the atrium of the Alan Turing Building and You can also join us for social events like pub crawls details of past and upcoming events can be found on their Facebook page. or going to a giant inflatable park!

Throughout the year we will be hosting socials and events aimed at connecting individuals from like-minded disciplines with one another Ryan Hinch and with leading graduate employers eager to UoM MathSoc President recruit Manchester students onto various schemes; for the more mathematically intrigued we will be devising topical events, such as lectures from prominent, guest speakers—stay tuned!

The staff are friendly and approachable... their passion for the subject makes the lectures engaging and interesting.

Una Gardiner MMath Mathematics

26 The University of Manchester Department of Mathematics Student Recruitment and Admissions Alan Turing Building Oxford Road Manchester M13 9PL United Kingdom t +44 (0)161 275 5803/4 e [email protected] w manchester.ac.uk/maths

@ManUniMaths @ManUniMaths @ManUniMaths

This brochure was printed in 2019 for the purposes of the 2020 intake. It has therefore been printed in advance of course starting dates and for this reason, course information may be amended prior to you applying for a place. There are a number of reasons why changes to course information and/or published term dates may need to be made prior to you applying for a place – more details can be found on our website. Prospective students are therefore reminded that they are responsible for ensuring, prior to applying to study, that they review up-to-date course information by searching for the relevant course at: www.manchester.ac.uk/undergraduate/courses Further information describing the teaching, examination, assessment and other educational services offered by The University of Manchester is available at: www.manchester.ac.uk/undergraduate

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