Mathematics Undergraduate Brochure by City St George's, University of London

The University for business and the professions

SCHOOL OF ENGINEERING aND MatHEMatICaL SCIENCES

Email enquiries: semsug@ city.ac.uk

Phone enquiries: +44 (0) 20 7040 6050

Find out more at: www.city.ac.uk/ engineeringmaths/ undergraduate

City University London Northampton Square London EC1V 0HB United Kingdom

Mathematics UNDERGRaDUatE COURSES

BSc/MMath Mathematical Science BSc/MMath Mathematical Science with Computer Science BSc/MMath Mathematical Science with Finance and Economics BSc/MMath Mathematical Science with Statistics BSc/MMath Mathematics and Finance

SCHOOL OF ENGINEERING AND MATHEMATICAL SCIENCES: MatheMatics

Courses

Contents

SCHOOL OF ENGINEERING aND MatHEMatICaL SCIENCES

MatheMatics

aeronautical and air transport

electrical and electronic engineering

BSc/MMath Mathematical Science

BEng/MEng Aeronautical Engineering

BEng Computer Systems Engineering

BSc/MMath Mathematical Science with Computer Science

BEng/MEng Air Transport Engineering

BEng/MEng Electrical and Electronic Engineering

BSc Air Transport Operations with ATPL

BEng Telecommunications

City University London is oﬀering Scholarships of up to £3,000 per year to UK and EU undergraduate students achieving AAB or above at A-level or equivalent qualiﬁcations.

engineering with ManageMent and entrepreneurship

Please refer to page 5 for more information.

BSc/MMath Mathematical Science with Finance and Economics

BioMedical engineering

BEng Biomedical Engineering BSc/MMath Mathematical Science with Statistics BSc/MMath Mathematics and Finance

7 5

BEng Engineering with Management and Entrepreneurship

civil engineering

MEng/BEng Civil Engineering MEng/BEng Civil Engineering with Architecture MEng/BEng Civil Engineering with Surveying

Mechanical, energy and autoMotive

BEng/MEng Automotive and Motorsport Engineering BEng/MEng Energy Engineering BEng/MEng Mechanical Engineering contents Welcome Why study at City? Discover Mathematics at City Entry requirements and scholarships Courses Mathematical Science Mathematical Science with Computer Science Mathematical Science with Finance and Economics Mathematical Science with Statistics

2 3 4 5 6 8 10 12

Mathematics and Finance About MMath degrees in Mathematics Employability through experience Talking about work placements Graduate careers Research in Mathematics Meet the Mathematics academic team A truly international outlook Student life at City How to apply Map and contacts

14 16 17 18 19 20 22 25 27 28 29 1

SCHOOL OF ENGINEERING AND MATHEMATICAL SCIENCES: introduction

Welcome to the School of Engineering and Mathematical Sciences

Mathematics is fundamental to our society and the modern technological environment. It underpins many of the most important recent innovations of modern life – from mobile phones and the internet to the analysis of genetic data. Both through its applications and as a subject of beauty in its own right, mathematics has a key role to play in the future. At its heart, mathematics is truly international in its scope, its impact and in the people who undertake it – contributing enormously to making our modern world what it is. Studying mathematics develops an ability to think logically and analyse complex situations – both key skills that underpin an enormous variety of interesting and successful careers. I am delighted that you are considering studying mathematics to become involved in a subject that is fundamental to many of the key professions of today.

Why study at City? about the School of Engineering and Mathematical Sciences

Mathematics combines an understanding of abstract subject matter with a wealth of applications which have transformed society in areas such as communications, health, security and ﬁnance.

City University London is diﬀerent. We provide exceptional graduate employment prospects as a result of our commitment to academic excellence, focus on business and the professions, and the beneﬁts of our central London location.

A degree in mathematics from City University London will equip you for a role to be a driver of future change and allow you to make your mark on a rapidly changing world. That builds on our long and distinguished tradition, stretching back for nearly 120 years, of training the best mathematicians and engineers at City University London to change the world – we are immensely proud of the way that our graduates have been at the forefront of industry and academia in the UK and worldwide over that time.

tradition and heritage Engineering and mathematical sciences have been taught at City for over 100 years.

Mathematicians who have graduated from City University London – whichever of our degree programmes they have studied – inhabit the real world which throws up a breadth of mathematical challenges arising from the fundamental role that mathematics plays in a wide variety of careers including (but by no means restricted to) those in ﬁnance, economics, government service and

in academia. Building a broad understanding and seeking a mastery of the field is essential for mathematicians to make their mark on the world. Most especially, a training in mathematics is a path to being a leader in tomorrow’s complex world – a leader in applying logical problemsolving techniques and solutions, a leader in strategic thinking, a leader in innovation and a leader in communication. Our role at City University London is to develop and instil those skills in our graduates and fit them to take up those opportunities – our degree programmes have been designed to prepare you for this. I challenge you to come on the journey that will take you to a rewarding, an interesting and an exciting career which will change the world in the twenty first century – through equipping yourself with the breadth of skills you will need and that a City University London

degree in mathematics will give you. I challenge you to make the most of the opportunities that this can oﬀer and to recognise the crucial and transformative role that a qualiﬁcation in mathematics can make to your life. I look forward to welcoming you as a student of the School of Engineering and Mathematical Sciences at City University London.

Professor Kenneth Grattan FREng Dean of the School of Engineering and Mathematical Sciences

central london location We are located in the heart of London, close to the capital’s leading institutions and the financial district of the City of London. Both professionally and personally, you will have the opportunity to benefit from all that London has to offer. For more information please visit www.city.ac.uk/visitus

exceptional eMployMent prospects We are ranked 10th in the UK for both graduate employability (The Times Good University Guide 2011) and graduate starting salaries (The Sunday Times University Guide 2011). Business links The School has strong links with Cass Business School and the Economics Department, who provide modules on several of our programmes. acadeMic excellence and research Our staﬀ and students are actively involved in pioneering research. In the Government’s latest Research Assessment Exercise (RAE), our research in ﬁfteen subject areas was rated by expert panels as amongst the best in the world. Find out more at www.city.ac.uk/ engineering-maths/ research

interdisciplinary The School strongly promotes the interdisciplinary approach to mathematics. It reﬂects the requirements of industry and the job market today, in its undergraduate teaching, in the breadth of its postgraduate programmes and especially in its research which recognises that much innovation and excitement lies at the interfaces of traditional disciplines. placeMents Students on our programmes may take a one-year placement in industry between the 2nd and 3rd year of their BSc/MMath. During their 1st and especially their 2nd year BSc/MMath students will receive extensive careers support targeted at identifying job opportunities for mathematicians and applying for jobs.

excellent Bursary/scholarship provisions We offer a range of merit-based scholarships, bursaries and awards for students who demonstrate exceptional potential. They not only recognise outstanding ability but enable students experiencing financial hardship to study at City. For more information go to www.city.ac.uk/ engineering-maths/ scholarships rewarding excellence City University London is offering Scholarships of up to £3,000 per year to UK and EU undergraduate students achieving AAB or above at A-level or equivalent qualifications. Please refer to page 5 for more information.

SCHOOL OF ENGINEERING AND MATHEMATICAL SCIENCES: MatheMatics

Discover Mathematics at City

Entry requirements and scholarships

Mathematics plays a fundamental role in many areas of our lives. The civil service, government agencies, businesses and research establishments all need capable mathematicians, as do large corporations, public utilities and ﬁnancial companies. Mathematics based degrees at City help students acquire some of the skills most valued by employers: knowledge of advanced mathematics, problem-solving and communication skills.

course

ucas code

BSc/MMath Mathematical Science

G100

BSc/MMath Mathematical Science with Computer Science

G1G4

BSc/MMath Mathematical Science with Finance and Economics

G1L1

BSc/MMath Mathematical Science with Statistics

G1G3

BSc/MMath Mathematics and Finance

GN13

City University London oﬀers the following degree courses with or without a placement year at Industry: Bsc/MMath MatheMatical science Bsc/MMath MatheMatical science with coMputer science Bsc/MMath MatheMatical science with Finance and econoMics Bsc/MMath MatheMatical science with statistics Bsc/MMath MatheMatics and Finance

Every course is a standard three year BSc but can also be extended to a four year MMath (see page 16). More detailed information about the module content of each of these courses can be found in the following pages. In the next paragraphs we will brieﬂy describe the main diﬀerences between the various courses. The contents of the three courses in the middle of the list above overlap substantially with each other and with that of the Mathematical Science BSc. All four courses provide a thorough grounding in University level mathematics and are mainly a Mathematical Science BSc with a specialisation to Statistics, Computer Science or Finance and Economics, respectively.

The Mathematics and Finance BSc is slightly different in its structure as it contains less core mathematics and more finance. About half of the course is mathematics with the other half devoted to a particular area of finance known as Actuarial Science. There is also some Economics in year one. This course is particularly well suited for students who are good at Statistics, as much of the finance involved is of statistical type. It provides a good starting point for students who wish to qualify as Actuarial in future, as they may obtain a maximum of three exemptions from the Institute of Actuaries examinations. The Mathematical Science with Finance and Economics BSc is a less specialised degree, particularly suited for students who like mathematics as their main subject but also want to get a basic introduction to various areas of finance and economics.

the city university london scholarship For acadeMic excellence

Supporting you in your studies, City University London is oﬀering a Scholarship of up to £3,000 per year to UK and EU undergraduate students achieving AAB or above at A-level.

Your exceptional academic performance should be rewarded and recognised. Achieve AAB or above in your A-levels, or equivalent*, and it will be. To acknowledge your achievement we have established the City University London Scholarship for Academic Excellence for UK and EU students starting an undergraduate programme of study at City in 2012. The award will be granted subject to confirmation of your A-level results (or equivalent qualifications). As a Student in the School of Engineering and Mathematical Sciences you will be eligible for £3,000 a year if you achieve A*AA standard in your three best A-levels or equivalent qualifications, £2000 if you achieve AAA standard, and £1000 if you achieve AAB standard.

ENtRY REqUIREMENtS 2012/13

Typical oﬀers require one of the following: A/AS-level: 360 UCAS tariﬀ points with an A in mathematics or further mathematics at A-level. Point scores exclude general studies and key skills. A/AS-levels in a mother tongue other than English count at half value. IB: 32, with 6 in Higher Level mathematics.

The Scholarship extends over three or four years subject to satisfactory academic performance with the exception of placement years. You do not need to apply – once your qualiﬁcations are conﬁrmed in August 2012 an award will be made. All applicants achieving the required level will automatically be awarded the Scholarship.

14-19 Advanced Diploma: Engineering or business administration and ﬁnance at grade B/250; A-level mathematics at grade A/120.

English language requirements: • IELTS: 6.0 • TOEFL: 87 internet-based total • GCSE: English language grade C.

General Studies A-level is excluded.

note: The 2012 City University London Scholarships arrangements are subject to ﬁnal approval in the University and we reserve the right to make changes and these will appear on our website so please check back regularly.

*For full terms and conditions, see www.city.ac.uk/study/undergraduate/ scholarships/terms-and-conditions

NExt StEpS Email enquiries: semsug@ city.ac.uk

Phone enquiries: +44 (0) 20 7040 6050

Find out more at: www.city.ac.uk/ engineering-maths/ undergraduate

Open Days: Visit www.city.ac.uk/ engineering-maths/ undergraduate/opendays How to apply: See page 28. 5

SCHOOL OF ENGINEERING AND MATHEMATICAL SCIENCES: MatheMatics

BSc Mathematical Science

This course provides a thorough grounding in university level Mathematics, together with elements of Statistics and Computing.

course overview The principal aim of this course is to introduce students to a variety of diﬀerent aspects of modern Mathematics. City’s course has a particular focus on applied Mathematics, although students are also introduced to several aspects of pure Mathematics throughout the degree.

Helen Hoang “I am a third year student studying Mathematical Science. I enjoy being a student at City University London because the people are friendly, the lecturers are supportive and the environment is vibrant. City University London has given me an amazing experience and I recommend studying here because you will have a fantastic time!”

Students in this course receive training in advanced Mathematical techniques and develop problem solving and communication skills much valued by employers. Our students have gone on to a wide variety of careers in business, ﬁnance, the civil service, teaching and accountancy, and also to further study in Mathematics at the MSc and PhD level. The ﬁrst year of the course is devoted to core material, including Basic Programming and Statistics that is needed by all Mathematics graduates.

In the second and third year the proportion of the course that is core decreases, and students can chose from an increasing range of options. The proportion of time devoted to the various subjects is indicated in the adjacent table, together with a selection of the options available in each year.

Modules year one

year two

options*

year three

options*

Functions, vectors and calculus

calculus and vector calculus

Dynamical Systems Applied Mathematics Numerical Mathematics Decision Analysis

MatheMatical Methods

Discrete Mathematics Diﬀerential Equations for Finance Fluid Dynamics Mathematical Biology Operational Research Stochastic Models

A distinctive feature of the course is the ﬁnal year group project, which provides students with the opportunity to write a technical report and give individual presentations. The summer teaching term in the ﬁrst two years is also designed around project work and presentation skills.

algeBra

linear algeBra

introduction to proBaBility and statistics

coMplex variaBle

prograMMing

real analysis

For entry requirements, please see page 5.

MatheMatical coMMunication

three MatheMatics options

The course may be extended to four years leading to a MMath (see page 16).

coMputational MatheMatics

group project

Five MatheMatics options

ciphers and nuMBer theory *These are indicative and not the complete list.

Email enquiries: semsug@ city.ac.uk

Phone enquiries: +44 (0) 20 7040 6050

Find out more at: www.city.ac.uk/ engineering-maths/ undergraduate

Next steps: Open Days: Visit www.city.ac.uk/ engineering-maths/ undergraduate/opendays How to apply: See page 28. 7

SCHOOL OF ENGINEERING AND MATHEMATICAL SCIENCES: MatheMatics

BSc Mathematical Science with Computer Science This course gives a general introduction to Mathematics, combined with elements from modern Computer Science.

Aizhan Rymbek “I enjoy studying at City University London. What I love about City is the international community: you can meet some of the best students coming from all over the world. In such a diverse environment the experience is very enriching not only your studies, but in general for your life. Studying at City is very challenging and it requires working hard in order to get good results, however it is an experience I would recommend to everyone who wants to study Mathematics.”

course overview This course has much in common with the BSc Mathematical Science, the main diﬀerence being a greater emphasis on Computer Science. The mathematical focus is as for Mathematical Science, while the Computer Science component covers a range of topics in modern computing. The majority of the Computer Science options are taken from the various Computer Science degrees in the School of Informatics. Students in this course acquire a similar set of skills as in the BSc Mathematical Science, but with a greater emphasis on applications in Computer Science. While students can go on to a wide range of careers, most have entered careers in computing or computingrelated areas in business and in ﬁnance.

At the end of the first year it is possible for students to change course to Mathematical Science if they so wish. In the second and third year the proportion of the course that is core decreases, and students can chose from an increasing range of options. The proportion of time devoted to the various subjects is indicated in the adjacent table, together with a selection of the options available in each year. A distinctive feature of the course is the final year group project, which provides students with the opportunity to write a technical report and give individual presentations. The summer teaching term in the first two years is also designed around project work and presentation skills. For entry requirements, please see page 5.

The ﬁrst year of the course is devoted to core material, and is similar to the Mathematical Science ﬁrst year, but with a greater emphasis on Computer Science.

The course may be extended to four years leading to a MMath (see page 16).

Modules year one

year two

Functions, vectors and calculus

calculus and vector calculus

java prograMMing

linear algeBra

year three

Maths

MatheMatical Methods

Dynamical Systems Real Analysis Applied Mathematics Numerical Mathematics

options* Maths

group project

Computing coMplex variaBle

algeBra

systeMs architecture

MatheMatical coMMunication

networks and operating systeMs

coMputational MatheMatics

one MatheMatics option

coMputation and reasoning

one coMputing option

Software Engineering Functional Programming Language Processors

three MatheMatics options

Discrete Mathematics Diﬀerential Equations for Finance Fluid Dynamics Mathematical Biology Groups and Symmetry

Computing Objected Oriented Programming in C++ Data Structure and Algorithms Introduction to Data Mining Human Computer Interaction

two coMputing options

*These are indicative and not the complete list.

Email enquiries: semsug@ city.ac.uk

options*

Phone enquiries: +44 (0) 20 7040 6050

Find out more at: www.city.ac.uk/ engineering-maths/ undergraduate

Next steps: Open Days: Visit www.city.ac.uk/ engineering-maths/ undergraduate/opendays How to apply: See page 28. 9

SCHOOL OF ENGINEERING AND MATHEMATICAL SCIENCES: MatheMatics

BSc Mathematical Science with Finance and Economics This course combines Mathematics with various aspects of Finance and Economics and offers a broad range of topics in areas such as financial markets, corporate finance and various kinds of economics.

Karan Pattni “I have thoroughly enjoyed studying mathematics at City. The lecturers are enthusiastic and support you all the way. You get to meet some of the smartest people and make good friends with them. The location gives you the beneﬁt of taking full advantage of what London has to oﬀer.”

course overview This course introduces students to the core concepts of Mathematical Science, together with a range of topics from Finance and from Economics. The mathematical focus is as for Mathematical Science, while the Finance and Economics options are designed to introduce students to a wide range of areas across the diﬀerent parts of modern business. All of the Finance and Economics modules are delivered by Cass Business School or the Economics Department, and are taken from the degree programmes in Actuarial Science and in Economics. Students in this course acquire a similar set of skills as in the BSc Mathematical Science, together with an understanding of the wide range of topics that make up modern Finance and Economics. This leaves students well qualiﬁed for a range of careers, particularly in the Finance and Business sectors.

The first year of the course is devoted to core material, and is similar to the Mathematical Science first year, but with a greater emphasis on economics. At the end of the first year it is possible for students to change course to Mathematical Science if they so wish. In the second and third year the proportion of the course that is core decreases, and students can chose from an increasing range of options. The proportion of time devoted to the various subjects is indicated in the adjacent table, together with a selection of the options available in each year. A distinctive feature of the course is the final year group project, which provides students with the opportunity to write a technical report and give individual presentations. The summer teaching term in the first two years is also designed around project work and presentation skills. For entry requirements, please see page 5.

Modules year one

year two

Functions, vectors and calculus

calculus and vector calculus

algeBra

linear algeBra

introduction to proBaBility and statistics

coMplex variaBle

prograMMing

Finance and Financial reporting a

MatheMatical coMMunication

interMediate Micro/ Macro econoMics

options*

year three

options*

Maths

MatheMatical Methods

Maths

Dynamical Systems Real Analysis Applied Mathematics Numerical Mathematics

group project

two MatheMatics options

two Finance options

Discrete Mathematics Diﬀerential Equations for Finance Fluid Dynamics Mathematical Biology Groups and Symmetry

Finance Introduction to Financial Derivatives Corporate Finance International Finance

Economics introduction to MicroeconoMics introduction to MacroeconoMics

one MatheMatics option

one econoMics options

Labour Economics Economics of Addiction Development Economics

*These are indicative and not the complete list.

The course may be extended to four years leading to a MMath (see page 16).

Email enquiries: semsug@ city.ac.uk

Phone enquiries: +44 (0) 20 7040 6050

Find out more at: www.city.ac.uk/ engineering-maths/ undergraduate

Next steps: Open Days: Visit www.city.ac.uk/ engineering-maths/ undergraduate/opendays How to apply: See page 28. 11

SCHOOL OF ENGINEERING AND MATHEMATICAL SCIENCES: MatheMatics

BSc Mathematical Science with Statistics This course gives a general introduction to Mathematics but with particular emphasis on those aspects concerned with Statistics.

Lucinda Thompson Mainland “The course is a standard mathematics course, however it provides a great level of choice in the ﬁnal year, which stands out from other universities. This means you can choose elements which are based on practical aspects of the subject which may make you more employable. The careers department at City has a really good track record for graduates ﬁnding work and has many contacts with the City.”

course overview This course has much in common with the BSc Mathematical Science, the main diﬀerence being a greater emphasis on Statistics. The mathematical focus is as for Mathematical Science, while the Statistics component covers a range of topics in Modern Statistics, with a particular focus on applied topics in Business and Finance. The majority of the Statistics options are taken from Cass Business School. Students in this course acquire a similar set of skills as in the BSc Mathematical Science and have gone on to work in a similar range of careers. The extra emphasis of the course on Statistics provides a particularly good starting point for any jobs involving the statistical analysis of large sets of data, as may be found in Marketing, Insurance and particular areas of Finance.

The first year of the course is devoted to core material, and is similar to the Mathematical Science first year, but with a greater emphasis on statistics. At the end of the first year it is possible for students to change course to Mathematical Science if they so wish. In the second and third year the proportion of the course that is core decreases, and students can chose from an increasing range of options. The proportion of time devoted to the various subjects is indicated in the adjacent table, together with a selection of the options available in each year. A distinctive feature of the course is the final year group project, which provides students with the opportunity to write a technical report and give individual presentations. The summer teaching term in the first two years is also designed around project work and presentation skills.

Modules year one

year two

options*

year three

options*

Functions, vectors and calculus

calculus and vector calculus

MatheMatical Methods

Maths

algeBra

linear algeBra

Dynamical Systems Real Analysis Applied Mathematics Numerical Mathematics

proBaBility and statistics 1

coMplex variaBle

group project

three MatheMatics options

Discrete Mathematics Diﬀerential Equations for Finance Fluid Dynamics Mathematical Biology Groups and Symmetry

Statistics Operational Research Extreme Event Statistics Statistics and Probability Modelling for Insurance

proBaBility and statistics 2 prograMMing

MatheMatical coMMunication

stochastic Models

coMputational MatheMatics

one MatheMatics option

two statistics options

For entry requirements, please see page 5. *These are indicative and not the complete list.

The course may be extended to four years leading to a MMath (see page 16).

Email enquiries: semsug@ city.ac.uk

Phone enquiries: +44 (0) 20 7040 6050

Find out more at: www.city.ac.uk/ engineering-maths/ undergraduate

Next steps: Open Days: Visit www.city.ac.uk/ engineering-maths/ undergraduate/opendays How to apply: See page 28. 13

SCHOOL OF ENGINEERING AND MATHEMATICAL SCIENCES: MatheMatics

BSc Mathematics and Finance This course combines Mathematics with various aspects of Finance and Economics, and focuses particularly on Actuarial Science.

Beata Kilkiewicz, Research Associate, IHS Screen Digest “I work in a research company. My expertise lies in Central and Eastern European advertising markets. Communication skills and ability to think analytically were crucial during my job interview. Now I apply these skills at work, along with some others, e.g. ability to work both independently and in a group, logical and abstract thinking. I also use my knowledge of Macroeconomics and Statistics. I am very happy that I chose City University London – not only did I learn a lot, but also I met some fantastic people and most importantly – I secured a position in the job market.”

course overview This course is a little different in focus from the other degrees in Mathematics, as it is best regarded as a hybrid between Mathematical Science and the BSc in Actuarial Science offered by Cass Business School. The mathematical focus is as for Mathematical Science, but the Finance aspects focus on the particular area of Finance which is used in the actuarial profession. There is a greater proportion of Finance (and a smaller proportion of Mathematics) than in any of the other degree programmes. As for the degree in Mathematical Science with Finance and Economics, the Finance and Economics modules are delivered by staff from Cass Business School and the Economics Department. Students in this course acquire a core set of skills in Mathematical Science, together with the basics in Actuarial Science. This provides a particularly good starting point for a career in the financial sector, especially in the areas of risk assessment, insurance, and statistical finance. However, students have gone on to work in a similar range of careers both in the financial sector and beyond.

The first year of the course is devoted to core material, and is similar to the Mathematical Science first year, but with a greater emphasis on economics and actuarial science. At the end of the first year it is possible for students to change course to Mathematical Science or Mathematical Science with Finance and Economics if they so wish. In the second and third year the proportion of the course that is core decreases, and students can chose from an increasing range of options. The proportion of time devoted to the various subjects is indicated in the adjacent table, together with a selection of the options available in each year. A distinctive feature of the course is the final year group project, which provides students with the opportunity to write a technical report and give individual presentations. The summer teaching term in the first two years is also designed around project work and presentation skills.

Modules year one

year two

options*

year three

options*

Functions, vectors and calculus

calculus and vector calculus

MatheMatical Methods

Maths

algeBra

linear algeBra

Dynamical Systems Real Analysis Applied Mathematics Numerical Mathematics

introduction to proBaBility and statistics

coMplex variaBle

prograMMing

Finance and Financial reporting a

Finance and investMent MatheMatics a

Finance and Financial reporting B

introduction to MicroeconoMics

Finance and investMent MatheMatics B

introduction to MacroeconoMics

one MatheMatics option

diFFerential equations For Finance two MatheMatics options

Finance Investment General Insurance Corporate Risk Management Introduction to Financial Derivatives

two Finance options

*These are indicative and not the complete list.

For entry requirements, please see page 5. The course may be extended to four years leading to a MMath (see page 16).

Email enquiries: semsug@ city.ac.uk

group project

Discrete Mathematics Diﬀerential Equations for Finance Fluid Dynamics Mathematical Biology Groups and Symmetry

Phone enquiries: +44 (0) 20 7040 6050

Find out more at: www.city.ac.uk/ engineering-maths/ undergraduate

Next steps: Open Days: Visit www.city.ac.uk/ engineering-maths/ undergraduate/opendays How to apply: See page 28. 15

SCHOOL OF ENGINEERING AND MATHEMATICAL SCIENCES: MatheMatics

about MMath degrees in Mathematics

Employability through experience

All of our degree programmes include the option to transfer at the end of the second year from the BSc to the MMath degree.

The MMath is a higher level qualiﬁcation that is particularly well suited for students who are considering further study in Mathematics. Students on the MMath degrees take additional, higher level, modules during their third and fourth years, while also taking the various modules available on the corresponding BSc degree. The MMath modules introduce students to a broad range of modern

mathematics: recent modules have included Mathematical Biology, Integrable Systems, and Topology. There is also an individual project in each of the two years, which allows students to develop in detail their knowledge of a particular area of mathematics.

entry requireMents Entry to the MMath is open to all students who achieve a 2:1 standard at the end of their second year, and still allows students the possibility to graduate at the end of the third year with a BSc.

industrial placeMents Our one year industrial placement scheme enables you to apply the skills and knowledge that you have developed at University to manage real challenges in the workplace. A year spent in industry is a valuable opportunity to develop your technical skills and business knowledge and it can often lead to sponsorship and future graduate employment. After the successful completion of your second year of study you can opt to undertake a period of paid work lasting between nine and twelve months. Salaries vary but you would typically be paid between £15,000 and £22,000 pro rata per year while on placement. You will then return to University to complete your studies. We ﬁnd that placement students return to University with more maturity, motivation, and a much better understanding of key concepts, having applied them on placement. This often leads to the attainment of a higher class of degree.

Frequently asked questions What support is there for ﬁnding a placement? Our dedicated team of placement specialists, the Professional Liaison Unit (PLU), have extensive experience in helping students to secure placement employment across a range of industries. The PLU sources exclusive opportunities with a wide range of employers as well as advertising vacancies from the major recruiters. Placements are not guaranteed, you will need to apply directly to companies that interest you. The unit runs workshops and one-to-one guidance sessions to prepare you for making successful applications and preparing for interviews.

What support is provided while I am on placement? Your personal tutor will meet with you twice during the year to help you to maximise your professional and academic achievements and ensure that you are undertaking properly supervised work. “Placement and internship programmes were an important source of fresh talent in 2009. 84.3% of AGR employers converted some of their students or interns into graduate recruits.” The AGR Graduate Recruitment Survey 2010 Summer Review

“Placement students were more likely to be employed six months after graduating and to have higher salaries than the average.” Attainment in higher education Erasmus and placement students. HEFCE November 2009/44

SCHOOL OF ENGINEERING AND MATHEMATICAL SCIENCES: MatheMatics

talking about work placements

Graduate careers

Alena Shunkevich Analyst, Barclays Capital

George Symeonides

Anneka Ruparelia

Intern at Strategic Investment and Risk Management, Legal & General Investment Management

Finance Business Analyst (Intern), Harrods

“The work experience at Legal & General Investment Management is an amazing experience. I am learning and gaining experience by working on the frontline of Financial markets but most importantly it is helping me understand that Investment Management is what I really want to do. City University London is one of the few Universities to oﬀer such a scheme and students should make the most of it. Taking a year out is my number one recommendation for any student in any ﬁeld.”

“Located in the heart of London, City University London has excellent links to major employers, and this was one of the key factors that attracted me to study Mathematics here. The lecturers are always willing to give you further support with your studies, if required. The careers department organise a series of workshops and presentations by leading top ﬁrms, and it was through their great advice that I was able to secure a placement year at Harrods as an Assistant Business Analyst in their Finance department. I’m looking forward to returning next year to complete my degree.”

“The main reasons I chose City University London to read Mathematics were its strong links with the industry and excellent graduate employment statistics. However, I have found much more than I expected: helpful and approachable lecturers, vibrant University life with a multitude of societies, events and new people to meet. Since graduating I have joined Barclays Capital graduate program in Technology and have done 2 half-year rotations in Credit Correlation and Commodities Derivatives departments. My work has been very varied, ranging from improving the stability of IT systems to calculating risks on exotic options. I am now about to join an Algorithmic Trading desk in Cash Equities as a permanent analyst, but I have enjoyed the University experience so much that I am planning to return next year as a Masters student.”

Mathematics programmes prepare students for future employment by providing them with key skills highly valued by employers. Our graduates are very successful at ﬁnding employment in a wide range of areas.

Citigroup, Santander, TBS, Comerzbank and Natwest. Typical jobs within the ﬁnancial sector have included Financial Consultant, Investment Banker, Customer Service Oﬃcer, Sales Assistant and Customer Assistant.

Students receive training in advanced mathematical techniques, learn to think abstractly and logically and to recast problems in a variety of ﬁelds in mathematical language. They are also given opportunities to work in a group and to develop oral presentation skills. Finally, they receive specialised careers advice throughout their degree.

Former students have also gone on to do ﬁnancerelated work such as accounting or banking management for other types of institutions. Recent examples include the British Museum, The National Children’s Bureau, the UK Border Agency and a large number of retailers such as Orange, JD Sports or Sainsbury’s.

A significant number of graduates go on to do further study in the form of an MSc or a PhD in a Mathematics related area or to receive specialist training for particular professions. Among the MSc and PhD destinations we find many Universities, including City itself, Oxford, University College London and the universities of Kent, to name but a few. Examples of specialist training are the PGCE (Postgraduate Certificate in Education), Chartered Financial Analyst and Chartered Accountant.

Gaurav Kalia 2007 Graduate BSc Mathematic and Finance, FX trainee and CFA candidate “After graduating and taking sabbatical as Student Union President, I worked at the Bank of England and interned at Deutsche Bank in New York before contracting at Goldman Sachs and Morgan Stanley. My advice to you is to apply – aim high and get involved with student life at University.”

Many of our graduates secure jobs in the ﬁnancial sector. Some of the ﬁnancial institutions recent graduates have gone on to work for are Lloyds TSB, KPMG,

SCHOOL OF ENGINEERING AND MATHEMATICAL SCIENCES: research in MatheMatics

Research in Mathematics 3 4

Research constitutes a very important part of the work carried out by academics at the Centre for Mathematical Science. The research is often conducted in collaboration with researchers at other institutions and with PhD students based at City. It regularly leads to publications in journals of international prestige and to presentations at international conferences.

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Fluid dynaMics: The fluid dynamics group conducts fundamental research in applied mathematics in areas of thermal convection, boundary layer theory, double diffusive convection, vortex flows, pattern formation and magnetohydrodynamics. Both analytical and computational methods are employed, including extensive use of techniques based on stability theory and asymptotic analysis.

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Our research covers four main areas of pure and applied mathematics brieﬂy described below. Undergraduate students will experience some aspects of our research activity within the MMath programme.

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algeBraic representation theory: The representation theory group focuses on modern aspects of the representation theory of ﬁnite groups, algebraic groups and related algebras, drawing motivation from geometry, statistical mechanics and string theory.

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quantuM Field theory: The mathematical physics group focuses on quantum mechanics, quantum ﬁeld theory and string theory. The distinguishing feature of the mathematical physics group is its strong expertise on integrable systems.

MatheMatical Biology: The Mathematical Biology group uses game theory and related mathematical methods to model biological populations. Key areas include multi-player game theory, evolutionary models on graphs, and the modelling of speciﬁc behaviours such as kleptoparasitism and evolutionary signalling strategies in response to predators.

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For more information please visit: www.city.ac.uk/ engineering-maths/ research/ mathematics-centre

SCHOOL OF ENGINEERING AND MATHEMATICAL SCIENCES: MatheMatics

Meet the Mathematics academic team

dr Marcos alvarez

proF Mark BrooM

Dr Alvarez’s research lies in the areas of Mathematical Physics, Quantum Field Theory and Statistical Mechanics. He is especially interested in effects which depend on the topology of space, such as the existence of magnetic fluxes and their quantisation. His research in Statistical Mechanics includes the application of algebraic methods, in particular diagram algebras, to the study of exactly solvable models. He is also Exams Officer for the Centre for Mathematical Science and coordinates exams matters with External Examiners, and with the rest of the University.

Professor Broom applies game theory to the mathematical modelling of biology, especially using the concept of the Evolutionarily Stable Strategy (ESS). His research includes purely mathematical work on the theory of games in an evolutionary context, including multiplayer games and evolutionary graph theory, and more speciﬁc problems when a particular animal behaviour or trait is concerned, for example food stealing or the co-evolution of defence and signalling behaviour.

dr olalla castro-alvaredo

Dr Castro-Alvaredo is a member of the Quantum Field Theory research group. She is an expert on a particular type of theories known as Quantum Integrable Models. The main subject of her research is the computation of certain functions known as form factors and correlations functions in particular models. These functions carry information about many physical properties of the models under investigation. Dr CastroAlvaredo teaches various ﬁrst and second year mathematics modules such as Programming, Calculus and Dynamical Systems. She is also admissions tutor for Mathematics.

dr vincent caudrelier

proF joseph chuang

dr anton cox

dr Maud de visscher

proF andreas Fring

Dr Caudrelier’s research interests lie in the field of mathematical physics called integrable systems. He uses a large variety of techniques from quantum mechanics, quantum field theory and algebra to study the effects of boundaries and defects on such systems. He contributed to develop new theoretical methods to tackle these problems. He teaches various modules in Mathematics, mainly mathematical methods. He conveys his passion for Mathematics and is a firm believer in challenging students to help them reach their true potential. He is also in charge of final year projects.

Joseph Chuang studies symmetry and related ideas in pure mathematics. His research interests include the representation theory of ﬁnite groups and related algebras, homological algebra and triangulated categories, and homotopy algebras and operads. He currently lectures on geometry, analysis and diﬀerential equations.

Dr Cox carries out research in algebraic Lie theory, an area of pure mathematics which looks at how algebraic objects represent themselves through actions on other objects. His work has shown how this approach can be extended to new families of algebras of interest in mathematics and physics. He is head of the Centre for Mathematical Science, and lectures on a variety of undergraduate modules.

Dr De Visscher’s expertise lies in the ﬁeld of algebraic representation theory, with a particular focus on algebraic structures arising in Lie theory and Statistical Mechanics. She lectures on various aspects of Pure Mathematics, such as Logic, Set theory and Group theory. She also coordinates all personal and professional development activities within the undergraduate programmes.

Professor Fring carries out research in various areas within Mathematical Physics. His main ﬁeld of interest is quantum ﬁeld theory with a particular focus on integrable models in one time and one space dimension. He also keeps an active interest in high energy laser physics and more recently in nonHermitian Hamiltonian systems. He lectures various courses within the Mathematics programme and is assistant dean for research of the School of Engineering and Mathematical Sciences.

SCHOOL OF ENGINEERING AND MATHEMATICAL SCIENCES: MatheMatics

SCHOOL OF ENGINEERING AND MATHEMATICAL SCIENCES: international

Meet the Mathematics academic team

a truly international outlook

dr yang-hui he

dr oliver kerr

dr lara silvers

dr Bogdan steFanski

Dr He studies some exciting topics at the interface between theoretical physics and mathematics, especially the cross-fertilization of string theory and gauge theory with algebraic geometry and number theory. He is also an advanced fellow of the UK Science and Technology Facilities Council and holds the Changjiang visiting Chair Professorship at Nankai University, China.

Dr Kerr’s research lies in the field of theoretical fluid dynamics. His primary interest lies in doublediffusive convectionpredicting how fluids move when driven by variations in heat and salt. He is also interested in more general problems in theoretical fluid dynamics, such as investigating the stability of various flows. In particular he is interested in the stability of flows which are evolving in time.

Dr Silvers conducts research in the area of magnetohydrodynamics. Her research primarily involves using mathematical and computational techniques to deepen our understanding of the inside of stars, such as the Sun, and she currently has a PhD student working with her in this area. Dr Silvers is one of the undergraduate personal tutors in the Centre for Mathematical Sciences and she is the lecturer for some of the undergraduate mathematics modules. She also supervises 3rd year and 4th year undergraduate student projects on a variety of diﬀerent topics.

Dr Stefanski is an EPSRC Advanced Fellow and University Lecturer, having arrived at City in 2009 from MIT. His research is focused on a number of areas within string theory. Most recently he has been interested in an equivalence between quantum gravity theories and quantum gauge theories (theories similar to those describing nuclear interactions), and the way string theory explains these dualities.

We offer an internationally focused learning environment. This is primarily achieved by establishing flagship partnerships in teaching and research with appropriate high profile international organisations in countries and regions of strategic importance. The School has extensive partnerships with high profile overseas institutions engaging in a wide range of collaborative activities in undergraduate taught programmes, Continuing Professional Development, joint research, student and staff exchanges. These include working with key partners in China, India, Russia, Korea, USA, Hong Kong and most of the EU countries. Such links provide students with excellent opportunities to take part in international exchange programmes, placement opportunities, joint research and other similar provisions that are becoming vitally important for 21st century graduates operating in an increasingly global employment market.

SCHOOL OF ENGINEERING AND MATHEMATICAL SCIENCES: student liFe

Student life at City

central location We are located in the heart of London, close to the capital’s leading financial, legal, media and medical institutions. You can take advantage of London’s famous cultural, sporting and social opportunities. student centre Our Student Centre offers practical help with your finances, learning, health and housing. They can also help with advice on your course, career and University facilities. Visit www.city.ac.uk/ studentcentre for more information sports activities We support a range of sporting activities including badminton, basketball, cricket, fencing, football, hockey, netball, rugby, squash and table tennis.

accoMModation Whether you want to live in halls of residence or private rented accommodation, our Student Centres housing advisers can help. For further details please visit www.city.ac.uk/ accommodation liBrary services The main University library occupies ﬁve ﬂoors in the Northampton Square building. Our library stock is more than 280,000 volumes and you can borrow up to 15 books for as long as 3 weeks. Please see www.city.ac.uk/library

state-oF-the-art Facilities We recently undertook a multi-million pound project to reﬁt all our lecture theatres with state-of-the-art audiovisual equipment and provide over 1,000 Windows PCs, 200 Apple Macs and 57 Linux workstations. careers services Our professional networks help to build your skills and gain industry insights. You can discuss your career plans in one-to-one appointments and explore our extensive careers resources including computer-aided guidance packages and aptitude testing systems. In the autumn and spring terms major employers visit the University to give presentations and run skills sessions.

ALUMNI When you embark on your course with us, you begin a lifelong association with both the University and its wider community of former students. Find more information at www.city.ac.uk/alumni a great student experience We seek to provide high quality equipment and facilities to enhance your learning experience. The Students’ Union organises a wide range of social events to keep you entertained and we have over 50 clubs and societies which cater for a broad range of interests. If that isn’t enough the London nightlife is famous, there are many venues to visit, some of which are discounted or free for students.

Find out more at www.city.ac.uk/careers

SCHOOL OF ENGINEERING AND MATHEMATICAL SCIENCES: next steps

SCHOOL OF ENGINEERING AND MATHEMATICAL SCIENCES: contacts

How to apply to City

Map and contacts

contacting us You can contact our Undergraduate Admissions team as follows:

Applications for degree courses must be made through UCAS.

undergraduate adMissions teaM

Programmes Oﬃce School of Engineering and Mathematical Sciences City University London Northampton Square London EC1V 0HB United Kingdom

If you are enquiring about the progress of an application you have made through UCAS, please remember to provide your UCAS application number.

additional inForMation You can ﬁnd more information on our undergraduate web page at www.city.ac.uk/ engineering-maths/ undergraduate

T: +44 (0) 20 7040 6050 E: semsug@city.ac.uk

You can apply through your school or college using the UCAS Apply system at www.ucas.com/ students/apply/ when to apply Applications for entry September 2012 should arrive between 1 September 2011 and 15 January 2012. When your application has been acknowledged by UCAS you will receive a personal identiﬁcation number so that you can access your records via ‘Track’ at www.ucas.com/ students/track/ on the UCAS website. enquiries If you have any questions about the admissions process please contact the Undergraduate Admissions Oﬃce: T: +44 (0) 20 7040 6050 E: semsug@city.ac.uk

Further inForMation • You can apply for up to ﬁve universities • Take care when entering your course code • UCAS has an ‘invisibility choices’ policy, meaning each university can only see their entry and not those of other universities you have chosen • Submit your completed application to UCAS with a £21 application fee • If you only wish to apply for City you can make a single choice application at a reduced rate of £11 • The University code for City University London is C60

ucas contact details Universities and Colleges Admissions Service (UCAS) www.ucas.com Callers in the UK T: 0871 468 0468 Callers outside the UK T: +44 (0) 871 468 0468

international students We have put together some practical information to help you when planning your arrival to the UK and City University London please visit www.city.ac.uk/ international/ international-students

scholarships Bursaries and awards City University London has a range of scholarships and prizes available for undergraduate students. Some of these are generously funded by charitable foundations, former students, and other bodies and can be applied for each academic year.

CITY UNIVERSITY LONDON

Visit www.city.ac.uk/ engineering-maths/ scholarships for more information. Financial support There are a range of options available to you to help you cover your living costs while you study at City University London. For information on Government support as well as other potential sources of funding please visit www.city.ac.uk/study disclaiMer

design: pslondon

The information contained in this brochure is correct at the time of going to press (October 2011). The University reserves the right, arising from unforeseen events or circumstances beyond our control, to add to or remove courses, and to make changes in regulations, syllabuses, course options, timetables, modules and fees etc, without prior notice. Complaints concerning the accuracy of information provided by the University in this brochure and in related publications should be made to the Academic Registrar. Any persons who feel their complaints have not been dealt with satisfactorily may write to the Quality Assurance Agency for Higher Education.

www.pslondon.co.uk

General information about the University including fees, general entry requirements, accommodation and social and welfare services, is given in the undergraduate prospectus, which can be viewed or ordered online on the University’s website www.city.ac.uk/study.

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