Annual Report to Members

2015

2

Glossary ACME — Advisory Committee on Mathematics Education ALMAB — A level Mathematics Advisory Board AoC — Association of Colleges BAMC — British Applied Mathematics Colloquium BMC — British Mathematical Colloquium BIS — Department for Business, Innovation and Skills CMath — Chartered Mathematician CMS — Council for the Mathematical Sciences DfE — Department for Education ECM — Early Career Mathematicians EdMS — Edinburgh Mathematical Society EPSRC — Engineering and Physical Sciences Research Council EuMS — European Mathematical Society EUROMECH — European Mechanics Society FE — Further Education FRS — Fellow of the Royal Society FTE — Full Time Equivalent GCE — General Certificate of Education GCSE — General Certificate of Secondary Education HE — Higher Education HEA — Higher Education Academy HEdSA — Higher Education Services Area HEFCE — Higher Education Funding Council for England HEI — Higher Education Institutions HoDoMS — Heads of Departments of Mathematical Sciences ICT — Information, Communications, Technology IT — Information Technology IMA — Institute of Mathematics and its Applications LMS — London Mathematical Society LSE — London School of Economics MA — The Mathematical Association MEI — Mathematics in Education and Industry MP — Member of Parliament MSOR — Mathematics, Statistics and Operational Research NANAMIC — National Association of Numeracy and Mathematics in Colleges NCETM — National Centre for Excellence in the Teaching of Mathematics NCTL — National College for Teaching and Leadership Ofqual — Office of the Qualifications and Examinations Regulator ORS — Operational Research Society OUP — Oxford University Press PgLO — Postgraduate Liaison Officer PSRB — Professional, Statutory and Regulatory Bodies QAA — Quality Assurance Agency for Higher Education QTS — Qualified Teacher Status RCUK — Research Councils UK RSS — Royal Statistical Society

SET — Science, Engineering and Technology S&FE — Schools and Further Education SIAM — Society for Industrial and Applied Mathematics SIAM UKIE — UK and Republic of Ireland Section of SIAM STEM — Science, Technology, Engineering and Mathematics THE — Times Higher Education TSST — Teacher Subject Specialism Training UCL — University College London UKIPG — UK Inter-Professional Group ULO — University Liaison Officer

3

INTRODUCTION 2015 was another good year for the IMA. We ran the Department for Education Mathematics Initial Teacher Scholarships scheme for a third successful year recommending 76 outstanding applicants for scholarship funds, and were awarded a grant to repeat the process for a fourth year. Our e-Student undergraduate programme continues to mature. We now have more e-Students than we have traditional members. At December 2015 there were 5,930 e-Students. We continue to engage with social media and now have over 9,370 members of our LinkedIn Group; and our ‘Company’ LinkedIn Group has over 13,820 followers. This represents a major national and international following! Our conference team ran 12 events welcoming 661 delegates. Our fourth Employers’ Forum was hosted by Rolls- Royce, with a bonus visit to their wonderful Rolls-Royce Heritage Trust! We continued to develop our Mathematics Matters case studies that have been so successful. We played a leading role with the CMS in the inclusion of mathematics within SET for Britain at Parliament. Our researchers and posters were so strong that we have been invited back for 2016. The IMA ran the biggest maths stand in the biggest Big Bang ever. 65,000+ students and parents in four days! The IMA MathsCareers website attracted almost 250,000 visits over the year and it has over 3,980 followers on Twitter. We also issued three more editions of our e-16+ newsletter. And on top of this we ran our regular activities covering branches, education, grants, journals, mathematics consultations, and Mathematics Today. We hope that you enjoy reading the comprehensive details in the rest of this report.

IMA AND GOVERNMENT Both in its own right and as a member of CMS the IMA has been involved with a wide range of engagement activities in Parliament this year. We were awarded a fourth DfE / NCTL grant to run the Mathematics Teacher Training Scholarships scheme. IMA Council members are in regular contact with DfE, BIS, HEFCE, and EPSRC. On 9 March John McWhirter chaired the panel of CMS judges who selected the ‘SET for Britain’ mathematics awards (which is now run by the Parliamentary and Scientific Committee). We were very thankful for the generous sponsorship of these prizes by the Clay Mathematics Institute and the Bank of England. This is the largest science event held in the Houses of Parliament annually, with the aim of strengthening dialogue with Parliamentarians. The Voice of the Future event took place on 4 March 2015 at Portcullis House. The event, organised as part of National Science and Engineering Week, was an opportunity for scientists aged 16-35 to put questions to a panel of MPs. The Parliamentary Links Day took place on 23 June at the Houses of Parliament. The theme of the 2015 event was the ‘Science and the New Parliament’. Our Executive Director, David Youdan, has continued to serve as an Advisor to the Parliamentary and Scientific Committee. SERVICES TO MATHEMATICS

Big Bang In 2015, the Big Bang Science and Engineering Fair returned to the Birmingham NEC. The survey of the 2014 event suggested that visitors lacked awareness of careers in mathematics following their attendance. Consequently, in the 2015, mathematics activities were distributed through the show to improve interaction. The IMA was allocated 45 m2 in which it demonstrated both Outreach Kits, the Space Shuttle

4

simulator and the Foam Cube Challenge. All the items proved very successful with visitors. The IMA was fortunate in being supported by enthusiastic students from local universities and also Bath. Overall there were fewer maths exhibits although Steve Joiner from Coventry, the team from GCHQ and the University of Essex all made welcome returns. Visitors to the NEC were at roughly the same level as in 2014 and despite concerns about the new layout, the stand was as busy as ever as 65,000 visitors engaged enthusiastically with maths activities.

Research Committee Professor Elizabeth Mansfield, Vice President Learned Society, chaired the Research Committee in 2015. Professors Darren Crowdy, James Davenport, Rod Halburd, Rebecca Hoyle, Ian Roulstone and Ahmer Wadee joined the Committee during 2015. The full membership of the Committee can be viewed via the Quick Link ‘Research’ on the IMA website homepage. These researchers contribute to our discussions with the research funding councils and policy makers, and work to promote the benefits of fundamental and applied mathematical research to the economy and to society. The Research Committee also assess applications for Small Grants. In 2015 the Research Committee contributed its views towards a CMS response to the “Nurse Review of UK Research Councils”. Research Committee nominated young researchers, via CMS, to be considered for participation in the “Voice of the Future 2015” event, which provided a unique opportunity for young scientists and engineers to enjoy a ‘Science Question Time’ with members of the House of Commons Select Committee on Science and Technology. The Research Committee submitted a response to the BIS consultation on Support for Postgraduate Study. An interview of Research Committee member, Dr Helen Wilson, which described the challenges faced by mathematicians today and introduced the Institute’s Mathematics Matters case studies was published in International Innovation; Dr Wilson

invited collaboration from other members of the committee to feed into the response. Professor Elizabeth Mansfield was an invited speaker at the “Successfully Integrating Women In To STEM” meeting in September 2015 which was organised by Inside Government. Diversity in the Mathematical Sciences community continues to be an important topic for the Committee.

Journals The Institute owns seven academic journals, which are published in print and online by Oxford University Press (OUP). The journals are: • IMA Journal of Applied Mathematics

Editors: Alan R. Champneys, University of Bristol; Yibin B. Fu, University of Keele and Demetrios T. Papageorgiou, Imperial College London.

• IMA Journal of Numerical Analysis Editors: Arieh Iserles, University of Cambridge and Endre Süli, University of Oxford.

• Mathematical Medicine and Biology: A Journal of the IMA Editors: Oliver E. Jensen, University of Manchester; John R. King, University of Nottingham and James P. Keener, University of Utah.

• Information and Inference: A Journal of the IMA Editors: Robert Calderbank, Duke University; David Donoho, Stanford University; John Shawe-Taylor, University College London and Jared Tanner, University of Oxford.

• IMA Journal of Mathematical Control and Information Editors: Nicos Karcanias, City University and Sarah Spurgeon, University of Kent.

• IMA Journal of Management Mathematics Editors: Philip Scarf, University of Salford; Aris Syntetos, University of Cardiff and Rogemar Mamon, University of Western Ontario.

• Teaching Mathematics and its Applications: an International Journal of the IMA Editors: Duncan Lawson, Newman University; Christopher Sangwin, Loughborough University and Anne Watson, University of Oxford.

5

Five journals currently have impact factors. The IMA Journal of Numerical Analysis, The IMA Journal of Mathematical Medicine and Biology, and The IMA Journal of Management Mathematics all increased their impact factor during the most recent assessment period. All IMA journals are fully compliant with the RCUK Open Access Policy.

Conferences The conference programme for 2015 is summarised below: • IMA 2015 Conference on Research in

Mathematics and its Applications (Eight Great Technologies) University of Bath, 9 January 2015

• Early Career Mathematicians’ Spring Conference 2015, University of Sheffield, 7 March 2015

• IMA Mathematics 2015, Mary Ward House, 19 March 2015

• 3rd IMA International Conference on Flood Risk, Swansea University, 30 – 31 March 2015

• 8th IMA Conference on Mathematical Education of Engineers, Loughborough University, 20 April 2015

• IMA International Conference on Barriers and Enablers to Learning Maths: Enhancing Learning and Teaching for All Learners, University of Glasgow, 10 – 12 June 2015

• 2nd IMA Conference on Mathematics in Finance, University of Manchester, 18 – 19 June 2015

• IMA Conference on Numerical Methods for Simulation (Formerly the ICFD Conference on Numerical Methods for Fluid Dynamics) Mathematical Institute, Oxford, 1 – 4 September 2015

• IMA Conference on Mathematics of Robotics, St Anne’s College, University of Oxford, 9-11 September 2015

• Early Career Mathematicians’ Autumn Conference 2015, University of Bath, Saturday 14 November 2015

• 4th IMA Conference on Mathematics in Defence, Satellite Applications Catapult, Harwell Oxford, 26 November 2015

• 15th IMA International Conference on Cryptography and Coding, St Catherine’s College, Oxford, 15 – 17 December 2015

This programme of conferences and meetings was typical of the busy and varied series that IMA delivers for the community. The majority of feedback was positive. Members from industry and academics experienced in attending a range of conferences outside mathematics were very pleased with conference prices. Some academic members were not content with our prices. All prices were set following the guidance of Council. According to audited accounts, conferences were subsidised in 2015 by the IMA by £64,935. However, excluding overheads, the subsidy was £46,971 against a budgeted ceiling set by Finance Committee of £42,000. Nevertheless, members are urged to explain to critics in some university departments that prices are based on costs. When we are charged commercial rates by universities we have to pass these on.

IMA Lectures The 2015 IMA Lighthill Lecture at BAMC BMC 2015 in Cambridge was presented by Jacques Dumais. The title of his talk was “Some Intriguing Dynamical Systems Inspired by Plants”. Additionally, the BAMC BMC also featured a public lecture by Stephen Hawking and Michael Green on Quantum Black Holes and the Pointless Universe. This talk was sponsored by the IMA in celebration of the fiftieth anniversary of the IMA Journal of Numerical Analysis.

Small Grants The IMA’s Small Grants Scheme is designed to be flexible so that it can be used to facilitate any research activity within the scope of mathematics and its applications. Grants are available up to a value of £600 for individuals and up to £1,200 when enabling an event to take place. The budget for 2015 was £12,000, although a one-off extra £3,000 of funding was allocated to the scheme during September making a total of £15,000.

6

During 2015 the Scheme received 49 applications, and the total sum requested was £33,490. Of these requests, 18 have been paid in full, 13 have received partial funding and 18 have been declined. The total amount awarded during 2015 was £16,660. £1,744 was received from adjustments and refunds. The final amount awarded was £14,915.

Education 2015 was an extremely active year for mathematics education. Our contribution was led by Professor David Arrowsmith (Honorary Secretary with responsibility for Education), supported by Professor Nigel Steele (Deputy Honorary Secretary Education), Professor Peter Giblin (Chair, HEdSA), Mr Chris Belsom (Chair, S&FE), Mr Christopher Chipperton (Chair, S&FE) and Vanessa Thorogood (Education Manager) together with all our education committee members. The Education Service Area actively promotes the engagement of the Institute's members in education with its work through communications by email, on the website, and in Mathematics Today. For instance: • notification of the publication of key reports; • invitations to participate in events and / or

contribute to external initiatives; • opportunity to provide feedback on specific

issues; • invitations to contribute to Institute responses to

consultations; • publication of the Institute's submissions to

consultation exercises. Selected highlights from another busy year are shown below: The Institute continues to be strongly supportive of the work of ACME and the NCETM. The IMA also jointly hosted an event with the NCTL which examined and discussed models for delivering undergraduate maths degrees that included components of teacher education, to a level sufficient to be recommended for QTS. The Teaching Schools and School Improvement Division of the NCTL also asked the IMA to promote their TSST scheme as they have been advised that the IMA is supportive of teaching; a result of a meeting

between Professor Chris Linton (President Designate) and the Rt Hon Nicky Morgan (Secretary of State for Education). Various members from the two Education Committees, the Institute’s Honorary Secretary with responsibility for Education, Deputy Honorary Secretary Education and Education Manager represented the Institute through the following activities: • Attended the launch of the first draft of the

Cambridge Mathematics Framework. • Attended HEFCE’s PSRB Roundtable Event

and Plenary Sessions for their Quality Assessment Review as well as the Quality Assessment Review Plenary Session.

• Attended the QAA and UKIPG PSRB Forum Reducing Regulation and the Future of Quality Assessment.

• Attended the HEA stakeholder forum on the Review of External Examining Arrangements.

• Represented the IMA on the Wakeham Review of STEM Degree Provision and Graduate Employability Advisory Group.

• Met with the AoC to discuss ideas for attracting people to teach mathematics in FE.

• Attended ACME’s Teacher Education Round Table, the 2015 ACME Conference Mathematically Thinking, the launch of the Initial Teacher Education Report and ACME's round table discussion to discuss Ofqual’s consultation on conditions and guidance for AS and A level Mathematics and Further Mathematics.

• Attended the Science Council discussion meeting to discuss the College of Teaching.

• Attended the Westminster Education Forum Keynote Seminar The future of Initial Teacher Training provision in England: new pathways, course content and quality.

• Gave their endorsement to ALMAB. • Met with FutureLearn. • Attended the University of Birmingham’s staff

development event in relation to their book Transitions in Undergraduate Mathematics Education.

• Attended the launch of ACME’s and the RSS’s report on Embedding Statistics and Quantitative Skills.

• Responded to the Parliamentary Education

7

Select Committee inquiry The Work of Ofqual. • Attended MEI’s parliamentary reception at the

House of Lords. • Attended the Royal Society’s PolicyLab meeting

on Teaching Excellence: Can one size fit all?

Higher Education HEdSA’s activities during 2015: • Wrote to CMS, highlighting their concerns

about Core Maths. • Produced a position statement on the

Employability Skills of Maths Undergraduates. • Responded to HEFCE’s discussion document on

The Future of Quality Assessment in Higher Education, and Stakeholder Survey 2015.

• Responded to the HEA’s Annual Stakeholder Survey.

• Responded to the QAA’s consultation on the revised MSOR benchmark statement.

• Took part in the HEA’s national funded research Teaching and Learning Issues in the Disciplines.

• Wrote to the HEA to highlight their concerns over the lack of appropriate subject specific training for new lecturers in the mathematical sciences. Representatives from the HEA, IMA and HoDoMS meet to discuss this issue, which has led to a two-day workshop being planned for September 2016. The HEA will be working in partnership with the IMA and HoDoMS.

• Responded to HEFCE's Quality Assessment Review: Consultation on the Future approaches to quality assessment in England, Wales and Northern Ireland and attended a consultation event on these proposals.

• Responded to the Wakeham Review’s invitation to contribute evidence.

Programme Accreditation The Institute’s Programme Accreditation scheme accredits university degree programmes from which all its graduates will meet the educational requirements for the CMath designation. During 2015: • Ten universities had their existing accreditation

renewed. • Three universities underwent the Programme

Accreditation for the first time since 2003.

• Two universities, who already had degree programmes accredited, requested that further degree programmes are considered for accreditation.

• Nine universities have applied for accreditation, one of which is a university requesting a new degree programme is considered for accreditation.

• Two universities were undergoing accreditation at the year end.

A list of accredited degree programmes can be found on the Programme Accreditation webpage of the Institute’s website.

Schools and Further Education The S&FE committee has welcomed two new members to the committee; Sandra Wharton and Mark Hobson. Chris Belsom stood down as Chair of the Committee after serving two consecutive terms as Chair and also retired from the Committee. He was replaced by Christopher Chipperton. The S&FE Committee’s activities during 2015: • Produced the IMA Briefing Paper on 14-19

Mathematics Education in England for the political parties in the 2015 General Election highlighting the IMA’s concerns about GCSE, GCE Mathematics and Core Maths.

• Produced the IMA Position Statement on Subject Specialism Teaching in Mathematics.

• Responded to a consultation seeking views on improving the quality of teachers’ professional development and proposals for an independent professional body to represent and champion high standards in the teaching profession.

• Responded to the ACME Discussion Paper - Initial teacher education of teachers of mathematics at primary and secondary: have your say.

Education Grants Individuals in schools, FE and HEIs in the UK can apply for a grant, normally up to a maximum of £600, to help with the costs of running or attending an educational activity relating to mathematics. The Education Grants Judging Panel, consisting of the Institute’s Honorary Secretary with Responsibility for Education and the chairs of the education

8

committees, decides on each application. In 2015, the Education Grants scheme received 12 applications, of which six were awarded grants for the full amount requested, four were awarded a reduced grant and two were declined. The Education Grants awarded a total of £6,046. Applications approved for 2015 are shown from the Quick Link ‘Support and Grants’ on the Institute’s website homepage.

School Speaker In 2015 requests for School Speakers were handled regionally, where appropriate, by IMA Branches.

Polymaths Polymaths is a part-time open access course validated by the Institute. Two universities, the University of Bolton and Liverpool John Moores University, continue to offer the Polymaths course. A total of 26 people were awarded the Polymaths certificate in 2015.

IMA MathsCareers The IMA MathsCareers website achieved record numbers of visitors during September – November 2015. The site is one of the top websites of its kind within the STEM community and visitor numbers are consistently high. During 2015 the site received 244,746 visits. Social Media is still being used to raise the profile of MathsCareers, and it now has 3,989 followers on Twitter including a number of ‘verified’ followers. The profile of the site, as well as mathematics generally, is raised via the distribution of classroom materials such as posters and cards. During 2016 the materials distributed will be reprinted, with a stronger degree of IMA and MathsCareers branding. The MathsCareers sponsorship drive is now underway and letters have been sent to a number of government and financial institutions. This process will continue throughout 2016. Discussions are being held with the National STEM centre regarding the move of MathsCareers teaching resources to the new National Stem Centre elibrary. Visitors to the elibrary would be signposted to

MathsCareers. It is expected that this transition will take place during 2016.

Mathematics Teacher Training Scholarships The IMA, working with the LMS, MA, MEI, National STEM Centre and RSS, delivered the Mathematics Teacher Training Scholarships on behalf of the National College of Teaching and Leadership. The overall aim of the Scholarships scheme is to improve the quality, and widen the pool, of applicants for secondary teacher training by attracting highly qualified graduates and career-changers who might not normally consider teaching as a career. The 2014/2015 scheme was announced, and opened for applications, in October 2014, with a target of awarding 250 Scholarships to those who commence secondary mathematics teacher training in the 2015/16 academic year. From the 388 applications that were received, 76 Scholarships were awarded. The fourth year (2015/2016) of the Mathematics Teacher Training Scholarships was launched on 26 October 2015. The Scholarships are still worth £25,000 and 170 are available for Mathematics.

Undergraduate and Postgraduate Liaison The Postgraduate and Undergraduate Liaison Operation aims to increase membership and raise awareness of the IMA and its work amongst students, recent graduates and the university community. Engagement of early career mathematicians is crucial to the future of the Institute. Undergraduate activity comprises grants to mathematical societies, careers talks for mathematics undergraduates and supporting careers fairs and employability events. In 2015 £7,200 was paid in grants to the Mathematical societies of the Universities of Aston, Aberystwyth, Birmingham, Cardiff, Glasgow, Greenwich, King’s, LSE, Newcastle, Queen Mary, Royal Holloway, Sheffield, Stirling, Surrey and Trinity College Dublin. This total includes £400 paid to UCL to support its Chalkdust newsletter and £400 for prizes for the Oxford Industrially Focused Mathematical Modelling

9

(InFoMM) Camp. Additionally, £1,000 was paid to support the Tomorrow’s Mathematicians Today 2015 conference, £1,000 to support the Young Researchers in Mathematics conference, £500 for the Young Statisticians’ Meeting and £400 for prizes for the InFoMM Camp. Society activities supported included networking events, careers and mathematical talks, quizzes and participation in IMA conferences. The University Liaison Officer (ULO) delivered 30 talks, 3 workshops, supported 10 undergraduate careers fairs, 1 undergraduate conference, 1 postgraduate conference, the UK graduate modelling camp, 2 sixth form events, and the MEI teachers’ conference. Maths Careers Ambassadors delivered 6 talks. 42 universities were visited. The strong link with the Early Career Mathematicians’ group continued with the ULO presenting to the ECM conferences at Sheffield and Bath. The year has seen continued growth in the e-Student number to 5,930. The community raises the profile of the IMA among students and encourages participation in the wider IMA. There has been strong student attendance at the ECM conferences and the undergraduate Tomorrow’s Mathematicians Today conference at York was a great success. The six 2015 newsletters had careers themes of Cyber Security; Journalism; Modelling and Simulation; Research; Data Science; and Teaching. Some content was shared in the Mathematics Today university liaison articles. The virtual Postgraduate activity was grown through support of the Young Researchers in Mathematics conference to 137 users from 51 Institutions. The Postgraduate Liaison Officer (PgLO) delivered 2 talks and supported 3 conferences. We are grateful to Sam Kamperis, our previous PgLO, who left to join Oxford University Press. He has now been succeeded by Daniel Cheng from York.

Early Career Mathematicians’ Group The Early Career Mathematicians’ (ECM) Group aims to allow those starting out in the profession the opportunity to develop their skills and network with their peers. Two conferences are held over the course of a year – this year, the spring conference was in Sheffield and the autumn conference in Bath. Both conferences were well-attended by both student

mathematicians and those who have started work. These conferences were organised with assistance from the Secretariat. The ECM Group works closely with the University Liaison project to recruit younger members and is also highly active on a range of social networking sites.

Professional Affairs Professional Affairs initiatives are progressing well. The Value Proposition for Corporate Affiliation will be used to recruit more organisations. It is now supported by a formal application process and a series of criteria designed to confirm the standing of applicant organisations. We are also receiving enquiries from a number of organisations seeking closer ties with the IMA. The Employers’ Forum scheme has followed successes at EDF Energy, AWE and GCHQ with a fourth event at Rolls-Royce. The topic, Mathematics in the Industrial Workplace, attracted around sixty delegates from industry, commerce, and academia. Presentations were made by a number of representatives of Rolls-Royce and Dstl in addition to those from the IMA. Delegates were also treated to a tour of the fascinating Rolls-Royce Heritage Trust. In 2015, the IMA was approached by MBDA, a multinational aerospace company based in Stevenage, with a view to the IMA’s accrediting their Professional Development Scheme. Members of the Professional Affairs Committee visited MBDA in October and were pleased to accredit the impressive scheme. At present, our Corporate Affiliates include representatives from: • EDF Energy • Defence Science and Technology Laboratory • Government Communication Headquarters • QinetiQ • MEI • Rolls-Royce • Smith Institute • Tesco • The Met Office

10

• Tessella • Thales Research and Technology (UK) Ltd • Vodafone We are very grateful for the involvement of these organisations with mathematics and with the Institute. In addition, we have over 125 organisations listed on the IMA website as Friends of Mathematics across a range of sectors: aeronautics, consulting, defence, energy, engineering, finance, ICT, manufacturing, pharmaceuticals, research, science, services, and transport.

Mathematics Today In June 2015 we remembered David Broomhead’s decade-long contribution to Mathematics Today with a superb Memorial Issue that reflected his wide research interests and showcased the best of Dave’s inspired editorials. We celebrated A Century of General Relativity and the President (2014–2015) Professor Dame Celia Hoyles, and Professor Richard Noss guest edited an informative Special Issue – Windows on Advanced Mathematics: An Education Special Issue. The Editorial Board continues to ensure a range of articles suitable for all readers. Members are requested to continue submitting quality feature articles. This year the Early Career Mathematicians Catherine Richards Prize competition was won by Drs Andrew Irving and Ebrahim Patel for their excellent article ‘Mixing Motions’, which was published in the February 2016 issue. The Catherine Richards Prize continues to select the best article published each year. The 2015 prize was awarded to David J.T. Sumpter for his article ‘How to Model Honeybee Colonies’.

IMA e-16+ Newsletter The e-16+ newsletter published three editions in 2015. It is designed to inspire and raise interest in mathematics amongst 16 to 19 year olds and has gained over 700 subscribers. The newsletter shows the usefulness, interest, beauty and applications of mathematics in many areas. It also keeps students up to date with mathematical people and activities relevant to their age group.

Branches Branches continue to be an important feature of the IMA, providing regional networking opportunities. They are run by committees of local members, with administrative support provided by the Secretariat. The six active branches have all held varied programmes of events for their members during 2015. Plans for 2016 are already underway in all areas. Members are encouraged to check the website for the latest branch activities in their region. The Presidential Tour of Branches, which began in late 2014, concluded in September with a well-attended visit to the West Midlands branch. There remain some areas of the UK which are not represented by branches. Members are encouraged to consider establishing new branches in these areas, for which Secretariat assistance will continue to be a high priority. Irish members are working to re-activate their branch. It is hoped that the first event for some years will be held in 2016.

Diversity In 2012 Council empowered the IMA Research Committee to lead on the IMA policy on Women in Mathematics which is included on the IMA website. Further work has been achieved during the last year in the support of a wider diversity agenda as follows: the IMA has signed up to the Science Council Declaration on Diversity, Equality and Inclusion, and Council has appointed champions to lead the IMA in this initiative both for the Science Council agenda and for promotion of diversity via its inclusion on the agenda of all IMA committee meetings. MEMBERSHIP The Membership Committee, chaired by Dr Charles Evans, is delegated, by Council, to assess all individual corporate membership applications. The Membership Committee is currently made up of 15 Chartered Mathematicians who are Fellows of the Institute. They have a background in at least one of the following major areas of employment for mathematicians; academic research and teaching, schools and further education, industry, commerce, finance and IT.

11

We have had the privilege to welcome 45 new Fellows, 44 new Members and 47 new Chartered Mathematicians and/or Chartered Scientists. We have also had the great pleasure to welcome over 430 new Associate Members, Students and Affiliates. Membership figures as at 31 December 2015 are: Honorary Fellow 17 Fellow 1,255 Member 1,270 Associate Fellow 239 Associate Member 1,275 Affiliate 271 Student 279 Total 4,606

In addition to this the Institute has 5,930 e-Students making our total figures, as at 31 December 2015: TOTAL 10,536

This represents a growth of 15% in one year. Of the above memberships, 1,912 were registered as Chartered Mathematicians and 274 as Chartered Scientists.

Chartered Mathematics Teacher The Chartered Mathematics Teacher Registration Authority consists of representatives from the IMA, the Association of Teachers of Mathematics, the Mathematical Association, and the National Association of Numeracy and Mathematics in Colleges. Dr Charles Evans, the chair of the Institute’s Membership Committee, also chairs the Chartered Mathematics Teacher Registration Authority.  We now have 46 active Chartered Mathematics Teachers. GOVERNANCE Professor Dame Celia Hoyles, who became IMA President on 1 January 2014, chaired Council as it considered all the issues in this report. Council was pleased to welcome the following elected members in 2015: Dr Nira Chamberlain, Professor Alistair Fitt, Professor Paul Glendinning, Dr Zoe Kelson and Professor Nigel Steele. Additionally, Professor David Arrowsmith took up

the role of Honorary Secretary with responsibility for Education and Professor Elizabeth Mansfield became Vice President Learned Society. Council continued in 2015 to advance the strategy which was agreed following its last strategic review which took place in 2011. All who sit on Council are the Trustees who approved this report. A full list of Council can be seen at: http://www.ima.org.uk/about_us/governance/council.cfm.html

Executive Board The Executive Board involves all Honorary Officers of the Institute together with Dr Alan Stevens and selected staff members from the Secretariat. The Executive Board continues to work very well with a role that is clearly complementary to that of Council.

IMA Committees Details of leading IMA Committees are shown on the Governance webpages. EXTERNAL RELATIONS

UK Mathematics Organisations Council for the Mathematical Sciences (CMS) CMS is composed of the IMA, the LMS, the RSS, the EdMS, and the ORS. Professor Sir Adrian Smith FRS Hon. FIMA is the Chair of CMS. Many outside mathematics do not see the need for so many mathematics organisations. Those who only wish to deal with one organisation therefore deal with CMS. A number of activities that relate to education and research were advanced together with our sister societies within CMS. CMS continued to promote the needs of mathematics to BIS, DfE, EPSRC, HEFCE, the House of Commons Science and Technology Committee, the House of Lords Science and Technology Committee, and the Scottish Funding Council. CMS published in October its report on The Mathematical Sciences People Pipeline, which was

12

also featured at a Parliamentary event in January 2016. CMS continued to promote the Deloitte report, “Measuring the economic benefits of Mathematical Sciences Research in the UK”, which found that the contribution of mathematical sciences research to the UK economy is estimated to represent approximately ten per cent of all UK jobs (2.8m) and approximately sixteen per cent of total UK Gross Value Added (GVA) (£208 billion).

London Mathematical Society (LMS) Throughout 2015 we continued to work with the LMS in many areas including research, Mathematics Initial Teacher Training Scholarships and mathematics promotion. The LMS continues to provide the Joint Promotion of Mathematics Unit that the IMA Council supports with an annual grant of £5,000. The unit’s work includes responding to the media, initiation of press releases and influencing policy makers concerning the benefits of mathematics. Together we also award the David Crighton Medal for Services to Mathematics and the Mathematics Community, and the Christopher Zeeman Medal for Mathematics Promotion. The IMA continues to rent an office at De Morgan House. This facility allows us to maintain an excellent working relationship with the LMS. The IMA Council continues to affirm that it wishes to fully embrace the concepts and principles of a New Unified Mathematics Society, and hopes that through constructive engagement the LMS and the IMA will be able to achieve this goal jointly at an agreed date in the future.

Other UK Mathematics Organisations We continue to work closely with the Association of Teachers of Mathematics, the Mathematical Association and NANAMIC in the management of the Chartered Mathematics Teacher Registration Authority. We also work closely with many sister organisations, ACME, NCETM, and the Joint Mathematical Council to promote and support mathematics whenever possible.

The IMA has a representative who is an invited observer to the HoDoMS meetings and activities. The IMA always seeks to develop its higher education strategy in agreement with HoDoMS and the LMS. UK SET and Others Science Council The IMA is a member of Science Council and continues to work cooperatively with Science Council to promote science, including mathematics, to Government. Throughout 2015 the Chartered Scientist designation has continued to be popular with members with 274 holding the designation.

International SIAM In 2015 IMA members who live in the UK received a discounted SIAM membership fee under our reciprocity agreement. (A reciprocal arrangement exists for SIAM members who live in the US). We have joint promotional campaigns and co-operative activities with SIAM and SIAM UKIE.

EuMS and Euromech The IMA is a member of both of these organisations, and IMA members can pay their subscriptions via Catherine Richards House. Our website also shows a list of members who represented the IMA to STEM organisations in 2015 at: www.ima.org.uk/stemreps2015.pdf SECRETARIAT The Institute staffing at the end of the year was: Executive Director – David Youdan Assistant Director – John Meeson Administration Assistant – Lucy Dunford Conference Officer – Lizzi Lake Editorial Officer – Rebecca Waters Education Manager – Vanessa Thorogood Executive Manager – Alison Penry Finance Manager – Lynda Jones Membership Assistant – Lisa Hart Membership Manager – Caroline Irwin Services Assistant – Gemma Reeves Services Officer – Joanna Baldacci

13

Services Officer – Eugene Kidwell University Liaison Officer (0.7 F.T.E.) – Erica Tyson Administration Officer (part-time) – Karen Hedderley Administration Assistant (part-time) – Debbie Sullivan Conference Support Officer (part-time) – Pamela Bye Membership Officer (part-time) – Natalie Stanton Postgraduate Liaison Officer (part-time) – Vacancy FINANCE The final result was a surplus of £127k, compared with a budget surplus of £2k. The difference was due to a number of reasons: Income We received a surplus from 2014 journal sales of £63k from OUP, mainly due to their sale of the digital archive to French institutions. The NCTL Scholarships project attracted fewer applications that target. The chargeable IMA staff therefore invested more staff time than was budgeted to encourage more applications. This extra work generated an increase of the net result of £25k, however, much of this increase was spent on non-chargeable staff and support costs. Expenditure More electronic communication and delayed marketing promotion resulted in an underspend of £14k. The Education activity at the Big Bang Fair and a postponed 16+ lecture produced a saving of £11k. At the end of 2015 the total assets less current liabilities was £1,018,223. In 2014 the equivalent figure was £890,883. Funds were used to support our charitable aims. There is a clear public benefit in our activities to support education, run educational conferences, to support mathematics to Government, and to regulate the professions of Chartered Mathematician and Chartered Mathematics Teacher. Members receive a membership publication: Mathematics Today, six times a year. The revenue

received from members' subscriptions exceeds the value of membership services. The subscription surplus is spent on meeting our charitable objectives.

Notes to the Financial Statements for the year ended 31 December 2015 The accounts given in Appendix 1 represent an extract from the full formal financial statements, and should be read in conjunction with the relevant notes, which are shown on our website at: www.ima.org.uk/accountnotes2015.pdf Our website also shows our Independent Auditor’s Report to the Members at: www.ima.org.uk/auditorsreport2015.pdf This Annual Report was approved by the Trustees at the Council meeting of March 2016. The IMA Trustees

THE INSTITUTE OF MATHEMATICS AND ITS APPLICATIONS Appendix 1

DETAILED INCOME AND EXPENDITURE ACCOUNT FOR THE YEAR ENDED 31 DECEMBER 2015

Unrestricted Restricted Total TotalFunds Funds Funds Funds2015 2015 2015 2014

Incoming resources £ £ £ £Entrance fees 2,777 - 2,777 2,687 Subscriptions 284,147 - 284,147 276,950 Conference and symposium fees - income 126,026 - 126,026 117,879 Publications income and Institutional subscriptions 582,503 - 582,503 509,966 Miscellaneous income 573 - 573 1,259 Appeal Fund, donations and bequests 84 - 84 2,146 Interest received 5,433 3 5,436 6,617 Careers in M & 50th Ann 5,064 - 5,064 34,445 Scholarships & HE STEM 184,380 - 184,380 267,211 Education 3,000 - 3,000 7,000

1,193,987 3 1,193,990 1,226,160 Resources expendedSalaries, pensions and ni 486,869 - 486,869 485,735 Other staff expenses 17,615 - 17,615 18,639 Rates, insurance, light and heat 26,781 - 26,781 25,455 Telephones 4,420 - 4,420 4,907 General printing, postage and stationery 21,260 - 21,260 29,543 Office equipment, hire and maintenance 2,507 - 2,507 3,848 Council and committees 33,501 - 33,501 25,042 Branches and groups 1,554 - 1,554 2,309 Education 14,763 - 14,763 19,839 Publications (including Maths Today) 73,128 2,019 75,147 64,831 General expenses 4,422 - 4,422 9,575 Bank charges 2,949 - 2,949 2,943 Legal and professional 997 - 997 - Audit and accountancy 7,548 - 7,548 7,718 Depreciation & amortisation of property 6,893 - 6,893 5,858 Overseas activities 1,323 - 1,323 947 Subscriptions to other bodies 9,076 - 9,076 8,588 Repairs and renewals 989 - 989 2,142 Web-site expenses 4,258 - 4,258 4,718 Presidential address 384 - 384 3,453 Conference direct costs 98,600 - 98,600 83,133 Grants/donations 60,110 - 60,110 64,992 Strategy Review Weekend - - - - Information Technology 2,223 - 2,223 2,129 I.T. Consultancy 3,845 - 3,845 2,050 Careers in M & 50th Ann 18,837 - 18,837 46,026 Scholarships & HE STEM 129,294 - 129,294 185,603 De Morgan House rental 11,407 - 11,407 11,378 De Morgan House furnishings - - - 44 De Morgan House other 5,122 - 5,122 4,744 18 Nelson Street 8,000 - 8,000 8,000 Development - web and conferences 5,918 - 5,918 7,847 Decreased stock 38 - 38 62

1,064,631 2,019 1,066,650 1,142,098

RETAINED SURPLUS FOR THE YEAR 129,356 (2,016) 127,340 84,062

14

THE INSTITUTE OF MATHEMATICS AND ITS APPLICATIONS Appendix 1BALANCE SHEET AS AT 31ST DECEMBER 2015

31-Dec 31-Dec2015 2014

£ £ £ £FIXED ASSETSFreehold Property 119,624 124,224Fixtures and equipment 3,204 1,645

122,828 125,869

CURRENT ASSETSStocks 1,238 420Trade debtors 2,262 55,235Prepayments and accrued inc. 38,888 33,133Cash at bank and in hand 1,276,423 12,393 1,101,639

1,318,811 12,393 1,331,204 1,190,427

CREDITORS due within 1 year 428,449 7,360 435,809 425,413

NET CURRENT ASSETS/(LIABILITIES) 895,395 765,0141,018,223 890,883

CAPITAL AND RESERVESIncome and expenditure account 1,006,454 876,917Restricted income and expenditure account 7,052 9,068Revaluation reserve 4,717 4,898

1,018,223 890,883

NOTESCreditors due within 1 yearTrade creditors 45,156 52,243Social security and other taxes 61,011 61,268Accruals and deferred income 329,642 311,902Deferred Income restricted - -

435,809 425,413

Income and expenditure accountBalance as at 1st January 2015 890,883Surplus for the 12 months 127,340Balance as at 31st Dec 2015 1,018,223

15