Mathematics & Statistics - Undergraduate Degrees 2021

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Mathematics & Statistics - Undergraduate Degrees 2021
Mathematics
& Statistics

Undergraduate Degrees 2021
Mathematics & Statistics - Undergraduate Degrees 2021
The place
                                    for you
                 From the moment you start your course, you will be part of a
             community that supports you to secure your future as a Lancaster
            graduate. We will offer you regular meetings with tutors and lecturers,
             and our strong academic support systems are there to ensure you
              stay on track to realise your potential. You will study and grow as a
               person in a vibrant and safe environment, enjoying a wide range
                      of extracurricular activities, including our very own
                                     Maths & Stats Society.

             We expect you to work hard, but we will help you gain the full benefit
2              from your efforts. We cover a broad range of topics in the earlier         3
            years, while allowing specialisation later on. By your final year, you will
             be studying material directly influenced by our research interests in
              algebra, analysis, discrete mathematics, probability and statistics.
                Flexibility is built into your course, with our major/minor system
                      allowing study of a second subject in your first year.

                The pace will be challenging but the results will be well worth it.

                                Come and start your journey with us.

                                                          Dr Alexander Belton
                                                          Head of Department

    For more information, please visit www.lancaster.ac.uk/maths
Mathematics & Statistics - Undergraduate Degrees 2021
#9                   For the
                          In the UK for Mathematics according to
                           The Complete University Guide (2021)
                                                                      professional
                                                                      Choosing where to study can be an
                                                                      overwhelming experience. You know you

                  World ranked
                                                                      want to focus on maths, but how do you
                                                                      know which course is right for you?
                                                                      As a sign of course quality, accreditations
                                                                      from professional bodies are a great
4                        Top 50 for Statistics and Top 250            place to start.                                                                                      5
                  for Mathematics in the 2020 QS World Rankings

                World-leading
                  research
                                                                      The Royal Statistical Society     Royal Statistical Society            Institute of Mathematics
                                                                      (RSS) and/or the Institute
                                                                      of Mathematics and its            Through the RSS, you may be          & its Applications
                                                                      Applications (IMA) accredit all   eligible for GradStat status         The IMA is a chartered
                                                                      of our single-honours degree      (subject to criteria fulfilment) -   professional body for
                                                                      pathways in Mathematics and       our dedicated Teaching Office        mathematicians in the UK.
                                                                                                        will help you select the right
          We were ranked #5 in the UK for research in the 2014 REF.   Mathematics with Statistics,
                                                                      with re-accreditation pending     modules. If you’re thinking
                                                                                                                                             All of our single honours
                                                                                                                                             MSci schemes meet the
          This means that you will be taught by some of the world’s   from 2023.                        about work as an actuary
                                                                                                        then (subject to satisfactory
                                                                                                                                             requirement for gaining the
                                                                                                                                             CMath designation which is
             leading researchers in mathematics and statistics.       For you, this means that our
                                                                      degrees demonstrate both a
                                                                                                        academic performance) you            a professional status in
                                                                                                        may be exempt from the               advanced mathematics
                                                                      high level of competency and      Actuarial Statistics exam of
                                                                      professionalism in the area                                            which employers will value.
                                                                                                        the Institute and Faculty of
                                                                      of mathematics. Professional      Actuaries. RSS also sponsors a
                                                                      bodies open doors to several      Royal Statistical Society prize
                                                                      networks should you choose        for an exceptional student or
                                                                      to engage, and are well           students graduating from its
                                                                      recognised by employers.          accredited courses – another
                                                                                                        chance for recognition.

    For more information, please visit www.lancaster.ac.uk/maths
Mathematics & Statistics - Undergraduate Degrees 2021
How you’ll                                                                                   When did you know that
                                                                                                                                Lancaster was the right
                                                                                                                                                                         it’s the subject where you learn
                                                                                                                                                                         it from doing it yourself. There’s
                                                                                                                                                                         a lot of time spent outside

                                     learn
                                                                                                                                place for you?                           of lectures as opposed to in
                                                                                                                                                                         lectures, like doing worksheets in

                                                                                                          A place
                                                                                                                                When I came to deciding on a             workshops with
                                                                                                                                university, I wasn’t sure - I went all   a lecturer.
                                                                                                                                around the country. I think after
                                                                                                                                I’d been to a few, I realised that I     Describe the difference

                                                                                                          for
                                                                                                                                liked a campus university. When
                                                                                                                                I came here, I got that feeling -        between each year?
                                                                                                                                walking around the place I got a         The first two years cover a bit of
                                                                                                                                different sort of buzz to what I got     everything. The first year you do
                       Lectures                                      Problem solving                                            going to other universities.

                                                                                                          Rhys
                                                                                                                                                                         the Math 100 pathway and Math
                                                                                                                                                                         110, which is very different.
                                                                                                                                                                         The Math 100 is bringing
           Lectures will introduce you to course             In your first year, we run problem solving                         What do you like about                   everyone to the same level -
           content and you will usually have four            classes designed to develop your skills                            campus universities?                     consolidation of the higher end
           of these per week in each module.                 to tackle university-style mathematics.                                                                     A-level work that you’ve done.
           They are taught in large groups with              Working in small groups, you will apply                            Half of it is the atmosphere -           Math 110 is your first real taste of
           fellow students from across the year              your mathematical knowledge to a set                               being able to walk to a lecture          what university maths is like. A lot
                                                                                                                                and see familiar faces on the way.       more emphasis is on proofs for
           group.                                            of problems.
                                                                                                                                And, it’s secure - walking say to        example, rather than answering
           Whilst this form of teaching is mostly                                                                               and from the library later on at         specific questions in one context.
           led by the lecturer, we do encourage                                                                                 night. There’s a buzz around the
                                                                                                                                place that you probably won’t get        Your second year largely builds
           you to actively participate.                                                                                                                                  on what you did in your first year.
                                                                                                                                at a city university.
           We will also provide you with lecture                      Computer labs                                                                                      So for example, you do
                                                                                                                                                                         Probability 1 in your first year, and
           notes which have space for annotation                                                                                Favourite part of your
                                                                                                                                                                         then Probability 2 in your second
           during the lecture. Our students find                                                                                course?                                  year. Third year, now you’ve had
           this active form of learning useful               Some practical work is undertaken in
6                                                                                                                                                                        that taste of everything, is when       7
           for developing their knowledge and                specialist computer labs. This involves                            I think this year (third year) with
                                                                                                                                                                         the freedom comes to explore
                                                             working with statistical and mathematical                          the optional modules - I’ve done
           understanding of lecture material.                                                                                                                            the area that you enjoy most, or
                                                             software to develop skills and enhance                             largely statistics. The highlight
                                                             your employability.                          Rhys Warham,          was a project for the 391 module,
                                                                                                                                                                         again do a bit of everything - it is
                                                                                                                                                                         entirely your choice which you
                                                                                                                                which was supervised by Dr
                                                                                                          studying BSc          Andrew Titman - the opportunity
                                                                                                                                                                         want to do or not.
                                                                                                                                to delve deeper into something
                     Workshops                                                                            Mathematics with      and do something that interests          How have you found
                                                                                                          Statistics, felt at   me.                                      living away from
                                                                        Assessment                                                                                       home and making new
           Our weekly workshops are designed
                                                                                                          home straight         What has surprised you
           to give the opportunity for enhanced                                                                                 most about Lancaster?                    friends?
           support and guidance.                             Completing assessments is a key
                                                             part of your learning. Alongside main
                                                                                                          away in Lancaster.                                             I think that was made easier by
                                                                                                                                I knew about the collegiate
           You will work in small groups with                exams, you will also complete weekly or                                                                     the college system. It’s nice when
                                                                                                                                system, but just how involved
           specialist tutors to develop knowledge                                                                                                                        you’re coming here that you’re
                                                             fortnightly homework sheets for your                               you can get and how many
                                                                                                                                                                         not just like ’oh thousands of
           and understanding of module content               modules. These allow you to monitor                                opportunities there are to do
                                                                                                                                                                         people here go and make friends.’
           and practise applying the skills you              your progress and identify areas to work                           things outside of your degree
                                                                                                                                                                         You come in and you do things
           have gained.                                      on with your workshop tutor.                                       surprised me. People talk about
                                                                                                                                                                         with your flat, and then your
                                                                                                                                student lifestyle and societies
                                                                                                                                                                         house, and a couple of houses
                                                                                                                                and all these opportunities, but
                                                                                                                                                                         within your college, and then
                                                                                                                                things like Colleges, Roses (Sport
                                                                                                                                                                         your college, and then a couple
                                                                                                                                Competition) and just all those
                                                                                                                                                                         of colleges, and it just builds you
                                                                                                                                extra opportunities to enhance
                                                                                                                                                                         in bit by bit. So, I think it’s made
                                                                                                                                your experience - there’s always
                                                                                                                                                                         easier for you - that transition to
                                                                                                                                something going on.
                                                                                                                                                                         being on your own.
                                                                                                                                What’s it like to study                   With the Department talks during
                                                                                                                                                                         the welcome week, you know
                                                                                                                                maths day-to-day?                        people who are in your lectures
                                                                                                                                There’s a lot of freedom.                even before it comes to going to
                                                                                                                                There’s a nice balance between           your first lecture. Everything’s
                                                                                                                                lectures and there’s a lot of the        been made as easy as it can be
                                                                                                                                studying in the workshops and            to move away from home and live
                                                                                                                                that side of the learning. I think       with your friends for the first time.

    For more information, please visit www.lancaster.ac.uk/maths
Mathematics & Statistics - Undergraduate Degrees 2021
Lancaster University
                                         “Everyone is so friendly and welcoming.
                                         There is a lot of support on offer from lecturers,                                                            Maths & Stats Society
                                         workshop tutors and your academic advisor                                                                          (MathSoc)
                                         which gives you confidence with your workload.”
                                         Chloe Lawrence
                                                                                                                                                                             Jakub Waniek          fun way, and to meet like-minded
                                         Third Year, Cartmel College                                                Our student                                                                    students from different year
                                                                                                                                                                             Third year
                                         BSc Hons Mathematics
                                                                                                                    society enhances                                         student and           groups, courses and experiences.
                                                                                                                                                                             President of LU
                                                                                                                    the friendly and                                         MathSoc               What’s the best
                                                                                                                    vibrant community                                                              way to balance time
                                                                                                                                                             What’s your favourite
                                                                                                                                                                                                   between studies
    Open door policy                     Academic tutor                       Teaching Office
                                                                                                                    of the Department.                       area of Mathematics?
                                                                                                                                                                                                   and extracurricular
                                                                                                                                                             Algebra. Why? Because it’s            activities?
    Academic staff who teach on          When you start at Lancaster you      This is your one-stop shop            LU MathSoc is a free academic            very abstract, which makes the
    our undergraduate programmes         will be assigned an academic         for enquiries ranging from            society for anyone to join - if you      theorems extremely powerful and       Prioritising and planning. It’s
    have dedicated office hours for      tutor, who will (where possible)     timetabling and exams to module       are looking for a hard-working           usually quite beautiful! It’s also    important to give attention to the
    student queries and for additional   remain your tutor for the duration   choices and coursework. The           and supportive community who
8                                                                                                                                                            really conceptual and lets you        tasks that need it most and to        9
    support. You will receive            of your studies at Lancaster. This   Office can also offer more general    also knows how to have fun,              spend less time working things        organise tasks accordingly with
    feedback on all work submitted       is an academic member of staff       support, and if they don’t have the   you’ve found the right place!            out and more time working with        respect to their worth, length
    and teaching staff are happy to      who                                  solution then they will know who
                                                                                                                    They hold social events every            pure proof and ideas, which is        and deadline. Then, having a
    discuss this with you if you have    you will meet with once a term in    to contact.
                                                                                                                    week: whether you’re into                what attracts me most to maths.       notebook or app to keep track of
    any concerns.                        order to check your progress
                                                                                                                    Quizzes, Board Games, and                                                      deadlines and events is a great
                                         and personal development.                                                                                           How long has LU
    Tutors and lecturers can help                                                                                   Film Nights, or Bar Crawls and                                                 way to plan -knowing exactly what
                                         Your academic tutor can provide
    if you are struggling with a                                                                                    Poker Tournaments, there is              MathSoc existed?                      you need to do and when will help
                                         both academic and pastoral
    particular aspect of course                                                                                     something for everyone. Other                                                  your grades and give you more
                                         advice and you can arrange to                                                                                       There has been a Mathematics
    material or if you just need some                                                                               activities include lectures from                                               time during the week for other
                                         meet them at any point if you                                                                                       Society at Lancaster University
    reassurance.                                                                                                    guest speakers, which is a great                                               activities.
                                         feel that you would benefit from                                                                                    for many years, but it has gone
                                         the additional support. They                                               opportunity to expand your                                                     Also, make the most out of the
                                                                                                                    interests about different areas of       through several changes during
                                         can provide extra feedback                                                                                          its time, with the most recent        lectures and workshops. If you
                                         on coursework, give advice on                                              Mathematics.                                                                   read the course notes before
                                                                                                                                                             society being LUMASS.
                                         module choices and discuss                                                 LU MathSoc also supports                                                       the lecture, pay attention to
                                         potential career options.                                                  students by offering Maths               In June 2020 we changed our           the lecturer and ask questions
                                                                                                                    Cafés twice a week, where                name and logo to reflect a new        during your workshop, you will not
                                                                                                                    students can work with peers and         beginning for the society. At         only gain better understanding,
                                                                                                                    access additional support from           the heart of these changes            but this will aid in completing
                                                                                                                    Academic Officers, whether for           was rewriting our constitution        coursework faster!
                                                                                                                    coursework support or LaTeX and          from the ground up to make us
                                                                                                                                                             more democratic, accountable          Time management at university is
                                                                                                                    RStudio help.                                                                  one of the most important things
                                                                                                                                                             and effective at engaging with
                                                                                                                    We are pleased that the society          members. As we build and grow,        to learn and get used to, and
                                                                                                                    continues to grow, and we believe        we hope to leave a legacy for         first year is a great introduction
                                                                                                                                                                                                   to the university lifestyle. But

    A supportive
                                                                                                                    it is an incredible extra-curricular     the next Exec who will pride
                                                                                                                    activity for students to be a part of.   themselves in running the society     remember: it’s important that
                                                                                                                                                             as we did. No matter the name or      whilst balancing time between
                                                                                                                                                             logo, at the core of the society is   the course, a part-time job or

    learning environment                                                                                                                                     creating a great support network      going out with friends, to also set
                                                                                                                                                             for individuals to grow, engage       time aside for yourself and your
                                                                                                                                                             with studies in a stress-free and     wellbeing too.

    For more information, please visit www.lancaster.ac.uk/maths
Loving
                                   Lancaster                        What is your favourite part about                     I have also been a part of the Equality and
                                                                                                                          Diversity Committee of the Maths Department,
                 Laura Patterson has secured a                      studying at Lancaster University?
                                                                    The diversity of opportunities at Lancaster
                                                                                                                          and see first-hand the progress of how we are
                                                                                                                          continually improving commitments for equality

                graduate role after undertaking a                   has very much appealed to me during my time
                                                                    here. I have tried to make the most of these by
                                                                                                                          and diversity.

                10-week internship with the Royal                   taking part in everything from part-time work
                                                                    and volunteering, to societies. As a Student          Do you feel the Department has
                                                                    Ambassador and Tutor, I’ve met new people and         supported you with employability
                  Bank of Scotland, Edinburgh.                      formed friendships that I otherwise may not have
                                                                    had. The part-time jobs have provided me with
                                                                                                                          and careers?
                                                                    the extra income that I worried about having          Lancaster has certainly helped me achieve all I
                                                                    before I came to university,                          have wanted outside of (hopefully) getting the
                                                                    as well as many great opportunities to network        degree I came here for and more. I have gained
                                                                    and impress interviewers for roles.                   an insight experience at Deutsche Bank during
                                                                                                                          the Easter break of second year, allowing me to
                                                                                                                          see how an investment bank operates - including
                                                                    Tell us more about volunteering                       experiencing the technology department of the
                                                                    and societies                                         trading floor of the company, which was such a
                                                                                                                          surreal experience!
10                                                                  I have spent time volunteering in local schools                                                             11
                                                                    both through my course and through the
                                                                    Students’ Union. Alongside this and football          How has this all prepared you for a
                                                                    refereeing, I’ve dedicated lots of my spare time to
                                                                                                                          future career?
                                                                    volunteering for the Defying Dementia Student
                                                                    Society. I’ve been involved in this from the very     Last summer, I spent 10 weeks as an intern at the
                                                                    start of my time at Lancaster, and raised over        Royal Bank of Scotland in Edinburgh. This took
                                                                    £3000 in my role as Events Manager.                   place during the World Cup, which added an
                                                                                                                          extra element of excitement and bonding
                                                                    My Lancaster experience has provided so
                                                                                                                          between interns. The internship had a three-
                                                                    many things to do that I never imagined I
                                                                                                                          stage assessment, and I successfully obtained a
                                                                    could do. I have been involved in making key
                                                                                                                          graduate job offer.
                                                                    influential decisions for the Students’ Union as
                                                                    Student Trustee on the board of trustees. I am        This meant that I had an offer for a job after
                                                                    also a co-opted member of the Early Career            university before even beginning my final year
                                                                    Mathematicians committee for the Institute of         (providing I obtain a 2:2!), which has been such a
                                                                    Mathematics and its Applications, something that      relief. This was all paid too, allowing me to save
                                                                    I found out about through the Maths Department        for my future.
                                                                    here. I joined the committee after attending a few
                                                                    of their conferences and networking with other
                                                                    members. I helped to organise a mathematical          Any advice for new students?
                                                                    conference here at Lancaster University,
                                                                                                                          So, my advice would be to grab every opportunity
                                                                    improving my communication skills and working
                                                                                                                          you can, as you never know where it may lead.
                                                                    further with academics.
                                                                                                                          I discovered my love of maths here at Lancaster,
                                                                                                                          and how to combine it with various other
                                                                                                                          passions. This has led me to uncover key skills,
                                                                                                                          such as work-life balance, time management and
                                                                                                                          communication that I hope will serve me well in
                                                                                                                          my future. I have been able to gain these skills by
                                                                                                                          choosing a mathematics degree at Lancaster.

     For more information, please visit www.lancaster.ac.uk/maths
A world
                                                                                                         for
                                                                                                         Ben
                                                                                                         These photos are all either at Western
                                                                                                         University in London (Canada), at
                                                                                                         Niagara Falls (only a couple of hours
                                                                                                         drive from London) or on trips that the
                                                                                                         university organised whilst I was there.
                                                                                                         The ones of skiing and dogs are in a
                                                                                                         place called Halliburton. Western ran a

                           Study
                                                                                                         club called the Outdoors Club, and we
                                                                                                                                                    –– Ben Webb, MSci Mathematics with Statistics (Study Abroad)
                                                                                                         stayed overnight in Halliburton.
                                                                                                         The rest are shots from about campus
                                                                                                         – a year captured in a collage that
                                                                                                         I’ll never forget.

                           Abroad
12                                                                                                                                                                                                                 13

           A number of our degree                          have the opportunity to study additional
                                                           specialist modules offered by our partner
           programmes offer the opportunity                universities.
           to spend a year abroad studying
                                                           The modules that you study during your
           at one of Lancaster’s partner                   year abroad will count towards your overall
           institutions. Destinations vary                 degree classification. We have a dedicated
                                                           Study Abroad Director in our Department
           each year, with past students
                                                           and you will be well supported throughout
           staying in the USA, Canada,                     the process to ensure that you have the
           New Zealand and Australia.                      best possible experience.

           Our partner universities are carefully          A year abroad will highlight to potential
           selected to ensure that the course content      employers that you are flexible,
           of your third year complements the rest         adaptable and independent. You will also
           of your degree programme. You will study        demonstrate cultural awareness and the
           modules that are closely linked to those        ability to work with people from a variety
           taught at Lancaster. However, you will also     of backgrounds.

     For more information, please visit www.lancaster.ac.uk/maths
A degree in mathematics will provide you with
     both a specialist and transferable skill set sought
     after by employers across a wide range of sectors.
     The advanced numerical skills you will develop
     will prepare you well for career paths such as
     accountancy, finance and banking, whilst the logical
     and analytical skills you will gain could help you to
     pursue a career in business analysis, management
     consultancy or in government roles.

     Careers support                                       Interested in teaching?                             Placement year
     We are committed to developing your                   The education sector has an increasing demand       Choosing a Placement/Industry pathway degree
     employability skills. Our Academic Employability      for mathematics graduates to inspire the            involves spending the third year of your four year
     Champion in the Department works in                   next generation of students whether through         degree working full-time in a business. You will be
     partnership with the University’s Careers Service     teaching or in other education roles. Our third     supported throughout the placement process,
     to offer a range of workshops and talks on topics     year module in Mathematical Education provide       receiving advice and support to help you find the
     such as:                                              an insight into what it would be like to complete   right opportunity and to prepare for all aspects of
                                                           a PGCE qualification after your degree. You will    the application process. You’ll also be supported
     + Job application processes – CVs and cover
                                                           learn about current and historic issues facing      throughout your time working on placement.
14     letters, interviews and assessment centres                                                                                                                     15
                                                           mathematics education, teaching strategies
     + Careers within specific relevant fields such as                                                        Many students find that a placement year helps them
                                                           and learning methods.
       finance, research, statistics and teaching                                                              to decide which career path they would like to take,
                                                                                                               and the experience will give you a strong advantage
     + Completing a PhD in mathematics or statistics
                                                                                                               when looking for employment opportunities after
     + Career planning                                    Project Skills module                               completing your degree.
     + Postgraduate study options                          Our second year Project Skills module develops
                                                           skills that will enhance your employability.
     You can also access 1:1 appointments
     throughout the year through the University’s
                                                           This module includes coursework on scientific       Internship scheme
                                                           writing and using LaTeX software to prepare
     Careers Service. The Department promotes                                                                  Undertaking relevant work experience while you are
                                                           mathematical documents – complementing your
     a range of opportunities to meet and network                                                              at university is extremely beneficial when applying
                                                           pure mathematics and statistics knowledge.
     with employers through events both on and                                                                 for graduate level jobs. Through our Science and
     off campus. This includes our annual Science          You will also complete your own short project in    Technology Internship Scheme you can apply
     and Technology Careers Fair where a range of          either mathematics or statistics and will work      for paid work placements which give you the
     regional and national employers are invited onto      on a group project with an academic supervisor,     opportunity to practice the skills and knowledge
     campus to talk about the internship, placement        which will involve investigative research and       learned during your degree. These opportunities
     and graduate opportunities available                  presenting a conclusion.                            can be both full and part-time, and range from 3
     to students.                                                                                              months to a year.
                                                           Past projects have included:
                                                           +M
                                                             odelling premier league football
                                                           +H
                                                             igher dimensional kaleidoscopes
                                                           +R
                                                             isk factors for low birth weight
                                                           +S
                                                             econdary treatment in type II diabetes

     Skills for
     your future
     For more information, please visit www.lancaster.ac.uk/maths
Abby Rozee, part of               The college system at                Lancaster is a great
                                                                                                      Lancaster means that I always        environment, not only to
                                                                    Bowland College, is in            felt part of a community, and        secure your degree (of
                                                                    her final year studying           when times became tough              course!), but also to learn many
                                                                                                      there was always someone             of the skills necessary in a
                                                                    Mathematics. She                  I could turn to for advice,          working environment post-
                                                                    plays an active role              particularly where careers           study.
                                                                                                      are concerned. Every week I
                                                                    in the Lancaster                                                       The careers team are always
                                                                                                      received emails about relevant
                                                                                                                                           holding events like the Future
                                                                    community through                 career opportunities for me,
                                                                                                                                           Women Leaders’ course
                                                                                                      and the Department held
                                                                    societies and has                                                      that I was lucky enough to
                                                                                                      weekly lectures with advice
                                                                                                                                           be selected for last year.
                                                                    already secured a                 and insights into many different
                                                                                                                                           Brilliant female speakers
                                                                                                      career paths from experts in
                                                                    graduate position.                                                     gave us motivation, advice
                                                                                                      their respective fields.
                                                                                                                                           and practical tips on how to
                                                                                                      Studying a BSc in Mathematics        succeed across a wide variety
                                                                                                      has given me so many options.        of industries.
                                                                    I came to Lancaster as the        I feel like I have really been
                                                                                                                                           If there is something that you
                                                                    North West has always felt like   able to explore many areas of
                                                                                                                                           want to work on and achieve
                                                                    a home away from home for         maths such as statistics and
16                                                                                                                                         whilst at Lancaster there will      17
                                                                    me. Looking back, I couldn’t be   probability, number theory and
                                                                                                                                           always be somewhere you
                                                                    happier with my decision.         algebra. This has helped me to
                                                                                                                                           can succeed. I have also had a
                                                                                                      decide what I am passionate
                                                                    The opportunities at                                                   few part-time jobs, within the
                                                                                                      about and has led me to pursue
                                                                    Lancaster are near endless.                                            University itself and elsewhere,
                                                                                                      a career in accounting.
                                                                    I’ve been an active member                                             whilst studying. These have
                                                                    of various societies, including   The Careers Service has been         been key to developing my time
                                                                    the Cancer Research UK            a huge help, looking over my         management skills, and I am
                                                                    Society that a friend and I       CV and arranging practice            here to say it really is possible
                                                                    founded in our second year.       interviews so that I could           to have it all – the degree, the
                                                                    These experiences gave            secure the job that I’ve always      job and some hobbies for fun
                                                                    me the confidence to know         wanted. And I got it! I am proud     too.
                                                                    my strengths within a team        to be graduating this July with
                                                                    environment – a valuable          a job offer in hand for a career I
                                                                    life skill.                       am really excited about.

                                                                    A career for                                                             #6
                                                                    Abby                                                              in the UK for Mathematics
                                                                                                                                          graduate prospects
                                                                                                                                   (Complete University Guide 2021)

     For more information, please visit www.lancaster.ac.uk/maths
Our programmes

     We offer degrees in Mathematics, Mathematics
     with Statistics and several combined courses
     detailed on the following pages.

     Mathematics
     BSc Mathematics - G100
                                        Mathematics with
                                        Statistics
                                                                      Flexibility
                                                                      It is possible to transfer       A place   Having lived in the south my
                                                                                                                 entire life, I wanted to study in a

                                                                                                       for
                                                                      between Mathematics and
                                        BSc Mathematics with
     MSci Mathematics - G101
                                        Statistics - G1G3
                                                                      Mathematics with Statistics
                                                                      up until the end of the second
                                                                                                                 completely new location to expand
     BSc Mathematics                                                  year, subject to fulfilling                my horizons - living in Lancaster

                                                                                                       Roland
                                        MSci Mathematics              progression criteria.
     (Placement) - G102
                                        with Statistics - G1GJ                                                   has definitely been a fun and
     MSci Mathematics                                                                                            unique experience.
                                        BSc Mathematics
     (Study Abroad) - G103
                                        with Statistics (Placement)
                                        - GCG3
                                                                                                                 I really enjoyed attending my
                                        MSci Mathematics with
18
                                        Statistics (Study Abroad)                                                workshops at the end of each          19

                                        - G1GH                                                                   week as it gave me the opportunity
                                                                                                                 to speak with my tutors about
                                                                                                                 any (many!) topics I struggled to
                                                                                                                 understand. Some of my lecturers
                                                                                                                 were my tutors so it also gave
                                                                                                                 me the chance to get to know my
                                                                                                                 tutors as well as my lecturers
                                                                                                                 - which made me much more
                                                                                                                 comfortable in asking any queries
                                                                                                                 I had. I would like to pursue a
                                                                                                                 career that allows me to apply
                                                                                                                 the skills I have learnt here,
                                                                                                                 such as problem-solving and
                                                                                                                 data analysing.

     For more information, please visit www.lancaster.ac.uk/maths
Your
                                 first year

20
     For the majority of
     our degree schemes,
                                           define derivatives and integrals
                                           for many more functions.
                                                                                Statistics
                                                                                Statistical thinking plays a key
                                                                                                                     MATH110                            Discrete Mathematics
                                                                                                                                                        We talk about set theory and
                                                                                                                                                                                              defined on the real numbers is
                                                                                                                                                                                              continuous, in a precise way. It
                                                                                                                                                                                                                                    21
                                           You will also study complex                                                                                                                        also forms the foundations of
     you will follow a                     numbers, which are important
                                           in themselves and also have
                                                                                role in addressing a scientific
                                                                                problem where the recorded
                                                                                                                     Mathematical                       discuss the different types of
                                                                                                                                                        infinite sets that exist. We also
                                                                                                                                                                                              many of your future mathematics
                                                                                                                                                                                              modules.
     common core first
     year programme.
                                           practical uses (in electrical
                                           engineering, for example).
                                                                                data is subject to systematic and
                                                                                random variations. This module       Concepts                           formally introduce functions and
                                                                                                                                                        their properties, before going
                                                                                will provide you with the tools to                                      on to look at counting problems
     This involves two                                                          formulate appropriate models                                            and methods to solve them, and        Integration and
                                                                                and implement the associated
                                                                                                                     Numbers and Relations              ending with graph theory. Graphs      Differentiation
     sets of modules and                   Further Calculus
                                                                                critical techniques.                 Is it possible to write 84503 as   have important applications in
     a minor subject.                      The graphs of functions of two                                                                               the design and understanding of       We take a closer look at
                                                                                                                     a sum of the squares of two
                                           real variables look like surfaces,                                                                           the properties of systems such        differentiation and integration,
                                                                                                                     whole numbers? What is the
                                           with hills, valleys and other                                                                                as the infrastructure powering        and the relationship between
                                                                                Linear Algebra                       largest whole number that
                                           features. This module extends                                                                                the internet, social networks         the two. You will develop a
                                                                                                                     exactly divides both 99457 and
                                           calculus to deal with these,                                                                                 such as Facebook, the London          much deeper understanding
     MATH100
                                                                                Matrices are a concise way           75067? This module will show
                                           introducing partial derivatives,     of writing and solving sets of                                          Underground network and the           of calculus and see how to
                                                                                                                     you how to answer these and
                                           and explains how repeated            simultaneous linear equations,                                          global ecosystem.                     extend the theory to more
                                                                                                                     similar questions. You will also
     Mathematical                          integration may be used to
                                           calculate volume. You will also
                                                                                whose connection with lines
                                                                                and planes is established.
                                                                                                                     encounter formal logic and learn
                                                                                                                     about mathematical proof.
                                                                                                                                                                                              general settings, as well gain an
                                                                                                                                                                                              appreciation of the limitations of
                                                                                                                                                                                              the theory through some rather
     Methods
                                           be introduced to techniques for      You will explore how matrices
                                           solving elementary differential                                                                              Convergence and                       surprising examples.
                                                                                can be used to represent
                                           equations.                           certain transformations of the                                          Continuity
     Calculus                                                                   plane or space and show how                                             No one can walk infinitely many
                                                                                these transformations can be
     Calculus is concerned with            Probability
                                                                                                                                                        steps, perform infinitely many        Geometry and Calculus
                                                                                characterised by the way they                                           additions, or write down infinitely
     derivatives (which measure                                                 behave in special directions.                                                                                 How would you find the closest
                                           In this module you will explore                                                                              small numbers, but once we
     rates of change) and integrals                                                                                                                                                           point to the origin on a particular
                                           the ideas of probability models,                                                                             understand the definition of a
     (which measure area) and is                                                                                                                                                              curve? What is the tangent plane
                                           which characterise the outcomes                                                                              limit in mathematics, the idea
     usually introduced as rules for                                                                                                                                                          to a smooth surface and how do
                                           of different types of experiment                                                                             of infinity makes sense. The
     differentiating or integrating                                                                                                                                                           we find it? This module begins
                                           that involve a chance or random                                                                              concept of a limit allows us to
     simple functions. You will see                                                                                                                                                           the study of geometric objects
                                           component.                                                                                                   study whether a given sequence
     how to use the notion of a limit to                                                                                                                                                      through the use of calculus.
                                                                                                                                                        is convergent, or a given function

     For more information, please visit www.lancaster.ac.uk/maths
Choose your
                                minor

                        Mathematical             Mathematical        Minor Subject
                          Methods                 Concepts

                Our flexible Part I system allows you to take one third of
               your first year modules in another subject area, which you
               will choose during your first week at Lancaster. Entry onto
22                                                                                        23
               minor courses is subject to meeting entry requirements and
                                 timetabling restrictions.

               Minors are a great way to try a second subject at university-level,
              and you may even choose to continue your minor and/or transfer to
             one of our combined degrees. Some available minor choices include:

                       Physics                            Computer Science
                       Accounting & Finance               Management Science
                       Economics                          French/German/Spanish/Chinese
                       Philosophy                         Chemistry

                 Other minor choices may be available upon arrival, but are not
                guaranteed. Minor choices are only available on single honours
               courses. For example, if you choose to study BA Mathematics and
                 Philosophy, Philosophy is the equivalent of your minor choice.

     For more information, please visit www.lancaster.ac.uk/maths
Second year
                                                                                       and beyond
                                                                    Second year                         This allows you to focus on        + Time Series Analysis
                                                                                                        areas of the subject that are of   + Medical Statistics
                                                                    In your second year you will        interest to you and where your
                                                                    build on the content covered                                           + Multivariate Statistics in
                                                                                                        strengths lie.
                                                                    in first year, studying familiar                                         Machine Learning
                                                                    topics.                             You will usually take eight
                                                                                                                                           Other topics:
                                                                                                        modules from the following:
                                                                    You will be introduced                                                 + Mathematical Education
                                                                    to computational and                Algebra and Geometry

24
                                                                    mathematical problem solving        + Groups and Symmetry              Fourth year                         25
                                                                    methods including software          + Number Theory                    During the fourth year of
                                                                    such as R and LaTeX. Our
                                                                                                        + Commutative Algebra              the MSci course you will be
                                                                    project skills module will
                                                                                                        + Topics in Algebraic Number      able to choose from a range
                                                                    enhance both your subject
                                                                                                          Theory/Algebraic Geometry        of specialist modules which
                                                                    specific and transferable skills.
                                                                                                                                           link to research interests
                                                                    You will complete both an           + Representation Theory            of academics within the
                                                                    individual and group project
                                                                                                        + Topology                         Department. Many advanced
                                                                    with opportunities to develop
                                                                                                        + Geometry of Curves and          third year modules are also
                                                                    your scientific writing, research
                                                                                                          Surfaces                         available to study.
                                                                    and presentation skills.
                                                                                                                                           Examples of possible specialist
                                                                                                        + Graph Theory
                                                                    Autumn Term                                                            topics include:
                                                                                                        + Combinatorics
                                                                    + Real Analysis                                                        + Assessing Financial Risk
                                                                    + Linear Algebra II                 Analysis                           + Epidemiology
                                                                    + Probability II                    + Lebesgue Integration             + Clinical Trials
                                                                    + Project Skills                    + Metric Spaces                    + Stochastic Calculus
                                                                                                        + Hilbert Space                    + Computer Intensive Methods
                                                                    Spring Term
                                                                                                        + Differential Equations           + Galois Theory
                                                                    + Complex Analysis
                                                                                                        + Linear Systems                   + Longitudinal Data Analysis
                                                                    + Abstract Algebra
                                                                    + Statistics II                     Probability                        + Infinite-Dimensional Analysis

                                                                    + Computational Mathematics         + Probability Theory               + Lie Theory
                                                                                                        + Stochastic Processes
                                                                    Third year                                                             You will also complete an MSci
                                                                                                        + Financial Mathematics            dissertation which can be
                                                                    The third year allows great
                                                                                                        Statistics                         taken in Statistics, Pure
                                                                    flexibility in terms of module
                                                                                                                                           Mathematics or as an industrial
                                                                    choices. You are able to pick       + Likelihood Inference
                                                                                                                                           project in which you will work in
                                                                    from a range of options across      + B ayesian Inference             partnership with a company.
                                                                    five key areas.
                                                                                                        + Statistical Models

     For more information, please visit www.lancaster.ac.uk/maths
Combined courses

     Accounting, Finance                     Economics and                      Financial Mathematics                  Mathematics, Operational
     and Mathematics                         Mathematics                                                               Research, Statistics and
                                                                                BSc - GN13
                                                                                                                       Economics (MORSE)
     BSc - NG41                              BSc - GL11
                                                                                BSc (Placement Year) -
                                                                                                                       BSc - GLN0
     BSc (Industry) - NG42                   BSc (Industry) - GL12              GN1J
                                                                                                                       BSc (Industry) - GLN1
                                                                                MSci - GN1H
     This course will develop                This programme will equip you
     your knowledge of advanced              with mathematical and analytical
                                                                                                                       This course will develop your
     mathematical and statistical            skills whilst also developing      Our Financial Mathematics
                                                                                                                       knowledge of advanced
     methods and will provide you            the knowledge and tools to         programme provides a thorough
                                                                                                                       mathematical and statistical methods
     with the skills to apply this in a      understand the important role      grounding in finance, computing,
                                                                                                                       and will provide you with the skills
     professional context to the fields of   of economics in government,        quantitative methods and
                                                                                                                       to apply this in a professional context
     accounting and finance.                 business and society.              economics. This will give you a wide
                                                                                                                       to the fields of accounting and
                                                                                range of skills and knowledge that
                                                                                                                       finance.
                                                                                employers in the finance sector are
     First year                              First year                         looking for.
     In the first year you will study the    You will study the Mathematical                                           First year
     Mathematical Methods module             Methods module and will take
                                                                                First year                             In the first year you will study the
     whilst also taking one module in        a core module in Principles
                                                                                                                       Mathematical Methods module
     Principles of Economics and an          of Economics during which          You will cover the same
                                                                                                                       whilst also being introduced to
     Introduction to Accounting and          you will be introduced to          content as the single honours
                                                                                                                       key topics in other departments:
26   Finance. This will introduce you        the principles of economics        programme.                                                                       27
                                                                                                                       Business Analytics and Principles
     to a wide range of concepts and         both at microeconomic and
                                                                                A third of your time will be           of Economics.
     techniques including financial          macroeconomic levels. You will
     accounting, managerial finance          also study a careers module        spent studying the Introduction
     and financial analysis.                 through which will you will gain   to Accounting and Finance
                                                                                                                       Second year and beyond
                                             an insight into the graduate       module which introduces you
                                             labour market. We strongly         to a wide range of concepts and        The second year will cover linear
     Second year and beyond                  encourage students to take the     techniques including financial         algebra, statistics, business
                                             Mathematical Concepts module       accounting, managerial finance         modelling and optimisation.
     In the second year, you will cover
                                             too.                               and financial analysis.                You will also develop knowledge of
     probability, statistics, linear
                                                                                                                       both micro and macroeconomics.
     algebra and computational
                                                                                                                       The final year will allow you to
     mathematics whilst also
                                             Second year And beyond             Second year and beyond                 specialise in areas that suit your
     developing skills in auditing,
                                                                                The second year will cover the         interests, choosing modules from
     accounting systems and                  The second year covers
                                                                                topics of probability, statistics      across all relevant departments.
     management accounting. The              probability, linear algebra,
     final year develops your skills         statistics and computational       and real analysis whilst also
     in financial accounting and             mathematics and you will also      developing your understanding
     will introduce you to likelihood        be able to choose from a range     of the principles of finance and
     inference. You will also enhance        of modules within economics        introducing you to management
     your employability skills               including Applied Economics,       economics.
     through sector specific careers         Econometrics and Game Theory.
                                                                                In the final year you will have the
     modules delivered as part of this       The final year of the course
                                                                                flexibility to choose from
     programme.                              allows you to choose from a
                                                                                a range of relevant modules.
                                             range of options offered by both
                                                                                If you are taking the MSci pathway
                                             departments.
                                                                                you will have the opportunity to
                                                                                work on a substantial dissertation
                                                                                in an area of your interest from
                                                                                across the fields of mathematics,
                                                                                statistics, economics and
                                                                                finance.

     For more information, please visit www.lancaster.ac.uk/maths
Combined Courses

     Mathematics                             Language Studies and                    Computer Science and                   Theoretical Physics
     and Philosophy                          Mathematics                             Mathematics                            and Mathematics
     BA - GV15                               BA French - GR11                        BSc - GG14                             BSc - F3GC
                                             BA German - GR12                        MSci - GG1K                            MSci - F3G1
     Studying mathematics and
     philosophy as a combination will
     develop your reasoning, logic and
                                             BA Spanish - GR14                       BSc (Placement Year) -                 MSci (Study Abroad)
     analytical skills in both a numerical                                           GG1L                                   - F3G5
     and non-numerical context. This will
                                             BA Chinese -
     prepare you well for a wide range
     of careers.                                                                     Mathematics underpins technology       This engaging programme combines
                                             This programme will allow you           and so these two subjects create an    pure mathematics with the theoretical
                                             to study a modern language to           exciting combination. The computer     concepts of physics. Mathematical
                                             an advanced level whilst also           science component of this degree
     First Year                                                                                                             models can be used to describe
                                             gaining strong analytical skills.       covers languages and logic, software
     The first year mathematics and                                                                                         known facts and to be predict new
                                             Spending your third year abroad,        engineering, communications and
     statistics content is common                                                                                           phenomena. The combination of the
                                             you will get the chance to put your     systems. The course contains
     to the single honours degrees,                                                                                         two subjects creates a challenging
                                             language skills into practice whilst    a careful balance of theory and
     however you will also spend a third                                                                                    and exciting programme of study.
                                             experiencing a new culture. This        practice which can lead to jobs
     of your time studying the first year    programme prepares you well for         in all areas of industry.
     Introduction to Philosophy which        a range of careers such as in the                                              First year
     introduces you to knowledge and         diplomatic service, civil service
     reality, critical thinking, political                                                                                  You will study the Mathematical
28                                           and teaching.                           First year                                                                       29
     philosophy and ethics.                                                                                                 Concepts and Methods modules
                                                                                     Covering the common core content       whilst developing your knowledge
                                             First year                              of the single honours programmes,      of key physics concepts including
     Second year and beyond                                                          you will also be introduced to the     mechanics, quantum physics,
                                             You will study the Mathematical         fundamentals of computer science
     In the second year, you will study                                                                                     vector calculus, electric and
                                             Methods module and take a core          and to software development.
     the core components of the                                                                                             magnetic fields and the thermal
                                             module in your chosen modern
     mathematics syllabus in analysis                                                                                       properties of matter.
                                             language in which you will develop
     and algebra, supplemented               your speaking and writing skills and    Second year and beyond
     by some optional modules in             enhance your cultural knowledge.
                                                                                     In the second year, you will           Second year and beyond
     Philosophy, including Epistemology,     It is highly recommended that
     Metaphysics and Philosophy of                                                   complete a group project in            Throughout the second and third year
                                             you also study the Mathematical
     Science. In your third year you will                                            computer science and will enhance      you will take a number of compulsory
                                             Concepts module.
     be able to choose from a wide range                                             your knowledge of software design      modules which will develop
     of modules in either discipline.                                                whilst introducing you to Human-       your theoretical knowledge and
                                             Second year and beyond                  Computer Interaction Technology.       application skills in both mathematics
                                                                                     You will also be required to study     and physics. In the third year you will
                                             You will be required to take four       linear algebra plus three other        undertake both an independent and
                                             second year mathematics modules         subjects from the Department           group project based on an open-
                                             whilst developing your oral and         Mathematics & Statistics. The third    ended theoretical physics project.
                                             written skills and studying culture     year allows for more flexibility and   For those on the MSci pathway, you
                                             modules relating to your target         you will be required to take four      will undertake a Masters project
                                             language country(ies). Following        modules in each of the subject         and complete a literature review.
                                             your third year abroad, during          areas. Those on the MSci pathway       This will be on a topic of your choice
                                             which you will complete a reflective    will complete a dissertation in        from a range of options based on
                                             assignment, the fourth year of the      mathematics or statistics or may       departmental research specialisms.
                                             course will further enhance your        complete a computer science            You will also take three specialist
                                             mathematical and language skills.       project. You will also be able to      modules from Physics and two
                                             You will also be able to choose from    choose from a wide range of            specialist modules from Mathematics.
                                             a wide range of modules covering        specialist modules linked to the
                                             the culture(s) of the target language   research expertise of the two
                                             country(ies) as well as mathematics     departments.
                                             and statistics.

     For more information, please visit www.lancaster.ac.uk/maths
Entry requirements

     The A level entry requirements for
     each of our programmes are listed
     below. For alternative qualifications
     and international entry requirements,
     please contact
     ugadmissions@lancaster.ac.uk

                                                                                                                             Additional tests
         Programme of Study                              Including Maths                 Including Maths and Further Maths
                                                         (at Grade A)                    (at least one at Grade A)
                                                                                                                             TMUA & STEP †
         BSc/BSc (Placement Year) /MSci/MSci
         (Study Abroad)                                                                                                                                                  you will normally receive a               STEP, this won’t harm your
         + Mathematics
                                                                                                                             Whilst not required, we
                                                                                                                                                                         lower offer from us. Sitting              chances of receiving an offer
         + Mathematics with Statistics                                                                                       do recognise the value of                   the test is optional and if you           from us. If you sit STEP and do
         BSc/BSc (Placement Year) /MSci Financial                                                                            additional tests you may                    choose not to sit the test, this          not pass, please do not worry
         Mathematics
                                                                     AAA
                                                                           †
                                                                                                        AAB
                                                                                                              †
                                                                                                                             take and this is reflected                  won’t harm your chances of                - we will treat you exactly the
30       BSc/BSc (Placement Year)/MSci Computer                                                                                                                          receiving an offer from us.               same as if you hadn’t sat STEP     31
         Science and Mathematics                                                                                             in the offers that we                                                                 at all.
         BA Mathematics and Philosophy
                                                                                                                             make to our applicants.
         BSc/BSc (Industry) Mathematics,
         Operational Research, Statistics                                                                                                                                Sixth Term Examination
         and Economics (MORSE)                                                                                                                                           Papers (STEP)                             Adjusted offers
                                                                                                                             Test of Maths for                                                                     If you meet our requirements
                                                                                                                                                                         STEP consists of three papers
                                                                                                                             University Admission                        set by Cambridge Assessment,              for TMUA or STEP you will
         BA French Studies and Mathematics                                                                                                                                                                         normally receive an alternative
                                                                                                                             (TMUA)                                      and are sat in June. They are
                                                                                                                                                                                                                   offer with a one grade
         BA German Studies and Mathematics                           AAB                                ABB                                                              designed to really test your
         BA Spanish Studies and Mathematics               (Including language grade B)       (Including language grade B)    The Test of Maths for                       problem-solving skills.                   reduction.
                                                                                                                             University Admission (TMUA) is
         BA Chinese Studies and Mathematics                                                                                                                              Each paper lasts three hours
                                                                                                                             set by Cambridge Assessment
                                                                                                                             and sat in November, the                    and contains eleven or twelve
                                                                                                                                                                         relatively long questions, all
                                                                                                                                                                                                                   Before you receive
                                                                                                                             TMUA is designed to test
         BSc/ BSc (Industry) Accounting,                                                                                     your problem-solving and                    of which are optional - you               an offer
         Finance and Mathematics                                               AAB including Maths or                                                                    answer as many of them as
                                                                                                                             readiness for university-level                                                        If you complete your test
                                                                               Further Maths Grade A
         BSc/BSc (Industry) Economics and Mathematics                                                                        mathematics. There are two                  you wish, up to a maximum of
                                                                                                                                                                                                                   before the point of offer, we
                                                                                                                             multiple-choice question                    six questions. You may enter
                                                                                                                                                                                                                   will take your test result into
                                                                                                                             papers, each lasting                        any combination of the three
                                                                                                                                                                                                                   account at this stage.
                                                                                                                             75 minutes.                                 papers.
         BSc Theoretical Physics with Mathematics                    AAB including Maths and Physics at grade A
                                                                                                                             Results are available at the end            We value the way that
                                                                                                                             of November - you will receive              STEP develops advanced
                                                                                                                                                                                                                   After you have received
         MSci/ MSci (Study Abroad) Theoretical                                                                               a grade ranging from 1.0 to 9.0.            problem-solving skills and all
         Physics with Mathematics
                                                                           AAA including Maths and Physics                                                               our standard offers include               an offer
                                                                                                                             A strong performance of 4.5                 an alternative, lower offer that
                                                                                                                             or above in the TMUA is very                                                          We will review your offer taking
                                                                                                                                                                         includes a pass (Grade 3) in any          your new test results into
                                                                                                                             impressive. If you sit the TMUA             STEP. Sitting STEP is optional,
                                                                                                                             and perform sufficiently well                                                         account and may amend it to a
                                                                                                                                                                         and if you choose not to sit              lower offer.
     †
         These offers may be further reduced depending on your performance in the Test of Mathematics or STEP.               †
                                                                                                                                 Adjusted offers made in light of TMUA or STEP results are only applicable where indicated in the table.

     For more information, please visit www.lancaster.ac.uk/maths
Disclaimer
The information provided in this brochure
relates primarily to 2021/22 entry to the
University and every effort has been taken to
ensure the information is correct at the time
of printing in June 2020. The University will
use all reasonable effort to deliver the course
as described but the University reserves the
right to make changes after going to print.
You are advised to consult our website at
www.lancaster.ac.uk/study for up-to-date
information before you submit your application.
Further legal information may be found at
www.lancaster.ac.uk/compliance/legalnotice.

                                       Lancaster University, Lancaster, LA1 4YW
                                                 T: +44 (0)1524 65201
                                                www.lancaster.ac.uk

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