Mathematics & Statistics - Undergraduate Degrees 2022 - Lancaster University
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Mathematics & Statistics Undergraduate Degrees 2022
Contents
The place
03 The place for you
04 World ranking
05 For the professional
for you
06 How you'll learn
07 A place for Rhys From the moment you start your course, you will be part of a
08 A supportive learning environment community that supports you to secure your future as a Lancaster
09 Mathematics Society graduate. We realise that you may have faced many challenges with
10 Loving Lancaster your education over the past year and more, and you can be assured
12 Study abroad that we will welcome you into the Department and support your
13 A world for Ben transition to university life. You will be offered regular meetings with
14 Skills for your future tutors and lecturers, and our strong academic support systems are
17 A career for Megan
there to ensure you realise your potential. You will study and grow as a
person in a vibrant and safe environment, enjoying a wide range of
18 Our programmes
extracurricular activities, including our very own Maths & Stats Society.
19 A place for Jacqueline
2 20 Your first year 3
We expect you to work hard, but we will help you gain the full benefit from
22 Choose your minor your efforts. We cover a broad range of topics in the earlier years, while
25 Second year and beyond allowing specialisation later on. By your final year, you will be studying
26 Combined courses material directly influenced by our research interests in algebra, analysis,
30 Entry requirements 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 in many cases. The pace will stretch you and
assist you to develop, and the results will be well worth it.
Come and start your journey with us.
Come and meet us
Department of Mathematics & Statistics
Lancaster University
Lancaster
LA1 4YF Prof Alexander Belton
mathematics@lancaster.ac.uk Head of Department
www.lancaster.ac.uk/maths
Connect with us
@lancsunimaths
@LancsUniMaths
@LancasterMathsStats
For the
professional
World ranked Choosing where to study can be an
Top 250 for Mathematics and top 100 for Operational Research
overwhelming experience. You know you
in the 2021 QS World University Rankings
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
World-leading place to start. 5
research
We were ranked #5 in the UK for research in the 2014 REF.
This means that you will be taught by some of the world’s
The Royal Statistical Society Royal Statistical Society Institute of Mathematics
leading researchers in mathematics and statistics. (RSS) and/or the Institute of
& its Applications
Mathematics and its Through the RSS, you may be
Applications (IMA) accredit all of eligible for GradStat status The IMA is a chartered
our single-honours degree (subject to criteria fulfilment) - professional body for
pathways in Mathematics and our dedicated Teaching Office mathematicians in the UK.
Mathematics with Statistics, will help you select the right All of our single honours
with re-accreditation pending modules. RSS also sponsors a MSci schemes meet the
from 2023. Royal Statistical Society prize requirement for gaining the
for an exceptional student or CMath designation which is
For you, this means that our students graduating from its
degrees demonstrate both a a professional status in
accredited courses – another advanced mathematics
high level of competency and chance for recognition.
professionalism in the area of which employers will value.
mathematics. Professional
bodies open doors to several
networks should you choose to
engage, and are well recognised
by employers.
For more information, please visit www.lancaster.ac.uk/maths
How you’ll A place What do you like about
campus universities?
then ongoing support throughout
the industry year means you are
never far from help if you need it;
the team was vital in my search for
learn
One of the unique points about
a placement!
for
Lancaster is the collegiate system.
When you arrive, you are inducted
into one of our 8 undergraduate Describe the difference
colleges and from then on, you’ll
always have a community with you
between each year?
Rhys
every step of time here, and an The aim of first year is to get
unshakeable loyalty - your college everyone to a similar level. Having
will always be the best! County laid the foundations in the first year,
College has provided fantastic
Lectures Problem solving events and amazing opportunities
the second starts to stretch these
subjects and takes it to the next
for me to meet people who’ve level. At Lancaster the first two
become some of my closest friends. years have fixed modules, so that
Lectures will introduce you to course In your first year, we run problem solving
you gain an appreciation and strong
content. During your first year, you will classes designed to develop your skills to
have four of these per week in each tackle university-style mathematics. Favourite part of your knowledge in most topics, which
also does not cut off any modules
mathematics and statistics module. Working in small groups, you will apply course? for you in third year. This structure
They are taught in large groups with your mathematical knowledge to a set means you get world class pure
My third-year modules have been
fellow students from across the year of problems. maths and stats teaching.
so fascinating, given the freedom to
group. pick which topics to do more of, I My transition from placement back
Whilst this form of teaching is mostly led selected a lot of statistics and to final year was the easiest year to
discovered some insane year move I’ve made. A combination
by the lecturer, we do encourage you to
applications to real life which makes of the professionalism that I
actively participate.
Computer labs me love the subject even more. acquired, with the experience of
We will also provide you with lecture
notes which have space for annotation
Rhys Peploe, What has surprised you
what I did well (and not too well) in
previous years meant I could hit the
6 during the lecture. Our students find this Some practical work is undertaken in BSc Mathematics most about Lancaster?
ground running. With a complete
7
specialist computer labs. This involves choice for modules in third year,
active form of learning useful for
working with statistical and mathematical
with Statistics Lancashire is such a beautiful area you can mould the degree to your
developing their knowledge and
understanding of lecture material. software to develop skills and enhance your (Placement Year) to live in! One of my best memories preferences.
employability. was listening to the Ashes on the
memorial hill at Williamson Park How have you found
with my flat mate, despite neither of
us knowing anything about cricket!
living away from home
Workshops Up there you get a great view of the and making new
river Lune which flows through the
Assessment city, and has an amazing path
friends?
After a disruptive time in your education, alongside it - I love running down Moving to a new city feels like the
there; it is so picturesque. most exciting and daunting thing
our regular workshops will guide you Completing assessments is a key part of you’ve experienced so far, that is
throughout your studies by providing your learning. Alongside main exams, you
expert support and guidance. will also complete weekly or fortnightly
What was your absolutely normal. Those nerves
get put to bed very quickly though
You will work in small groups with homework sheets for your modules. placement year once you start meeting your flat
specialist tutors to develop knowledge These allow you to monitor your progress experience like? mates and the rest of your college,
and identify areas to work on with you are all in the same boat so
and understanding of module content When did you know I spent 13 months with IBM as a I tried to get involved as much as
and practise applying the skills you your workshop tutor.
Lancaster was the right financial analyst. During this time I could and met some incredible
have gained. I was responsible for managing people along the way! I’ve been
place for you? projects and budgets as well as a a part of the Rugby Union team
I knew Lancaster was the one number of ad-hoc tasks which and the Student Scout and Guide
during an Offer Holder Event. All the allowed me to experience various Organisation, both have given me
staff and students were so excited roles, not just what was on the job caring communities to grow in and
to show off the campus - it was description. Before placement, have helped me develop over the
clear to see their passion for maths I had no clue what job I wanted to last few years. With around 200
and Lancaster! I distinctly pursue, the year gave me plenty of clubs and societies on offer, you
remember the MathSoc president chances to try out these options can start something new or
talking to me about studying here, without being tied to one continue with a hobby you love!
everything she said made me more department, so the flexibility has
certain that this was the place to be. allowed me to mould a career path.
Inspired by this, I took the first Training is provided from our
opportunity to become a Maths faculty in the first two years and
Ambassador in first year.
For more information, please visit www.lancaster.ac.uk/maths
A supportive
learning environment Lancaster University
Mathematics Society
(MathSoc)
Joseph Price
Open door policy once a term in order to check
your progress and personal
preparedness for the workplace.
For more information, please visit
Our student Third year MSci
How do you balance your
time between studies and
Academic staff who teach on our development. Your academic www.lancaster.ac.uk/maths- society enhances Mathematics
undergraduate programmes tutor can provide both academic learning-development/. student and extracurricular activities?
have dedicated office hours for and pastoral advice and you can the friendly and President of
One of the great things about
student queries and for Transitions team
additional support. You will
arrange to meet them at any point
if you feel that you would benefit Settling into university can take
vibrant community MathSoc
Lancaster is that we have regular
receive feedback on all work from the additional support. time. Here at Lancaster we have of the Department. Outside of your studies, assessed coursework and
submitted and teaching staff are workshops which are
They can provide extra feedback a dedicated team who will what do you like doing unbelievably helpful for letting
happy to discuss this with you if support you during this
you have any concerns.
on coursework, give advice on MathSoc is a free academic in Lancaster? you know how much work to do.
module choices and discuss transition, and help you make the society for anyone to join - if you If you feel comfortable with most
potential career options. most of your time at university. I love reading, going to the gym
Teaching Office For more information, please visit
are looking for a hard-working
and playing squash. I didn’t do any
of the questions you are set
and supportive community who during the course, you know that
This is your one-stop shop for Learning developer www.lancaster.ac.uk/ also know how to have fun,
exercise at all in my first year,
you can spend some well-earned
enquiries ranging from In the Faculty of Science & transitions-team/ which I regret, but I fell in love with
you’ve found the right place! relaxation time.
8 timetabling and exams to module Technology, we have a dedicated exercising in second year. 9
choices and coursework. The learning developer who can offer College wellbeing officer They hold social events every Running and weightlifting are Talking to your peers is another
Office can also offer more tips on finding suitable reading week: whether you’re into both great ways to relieve stress great way to stay on track - it’s
general support, and if they don’t Each college has a dedicated
resources and managing your quizzes, board games, and film and have some fun. It’s also important not to compare
have the solution then they will wellbeing officer who can
time to achieve your full potential nights, or bar crawls and poker amusing to occasionally see one yourself to everyone else too
know who to contact. provide guidance on welfare and
through effective study practices tournaments, there is something of the lecturers from the Maths much, but try to make sure that
psychological issues, enabling
and good scientific writing. for everyone. Other activities Department go in and outperform you aren’t weeks behind your
Academic tutor you to better concentrate on
include lectures from guest most of the other people in the classmates because it could be
We also offer a Maths and Stats your studies. They can help you
When you start at Lancaster you speakers, which is a great room (although this has only very stressful and hard to catch
Hub (MaSH). This is a tailored and access support if you are
will be assigned an academic opportunity to expand your happened once or twice while I up. This isn’t to say that university
inclusive service, which aims to experiencing difficulties with
tutor, who will (where possible) interests about different areas was there)! I didn’t discover won’t be hard, but if you put the
advance undergraduate your health, housing, flat mates,
remain your tutor for the duration of mathematics. squash until my second year effort in, you will have an amazing
students’ knowledge and skills, personal life, finances or studies.
of your studies at Lancaster. when one of my friends on the time and be hugely rewarded for
improving their academic MathSoc also supports students same course introduced me to it.
This is an academic member doing so!
performance, confidence and by offering Maths Cafés twice a She didn’t mention she was the
of staff who you will meet with
week, where students can work captain of the women’s team, so it
with peers and access additional took me quite a while to catch up!
support from Academic Officers,
whether for coursework support If anyone is looking for book
“I’ve really enjoyed my time at Lancaster and my love or LaTeX and RStudio help. recommendations, I’d say read as
of maths has only increased since studying here! We are pleased that the society
much as possible by George
Orwell - the films don’t do the
There’s such a wide variety of support available in continues to grow, and we believe story justice compared to the
it is an incredible extra-curricular
the Maths & Stats Department, I’ve always felt there activity for students to be a part of.
books which will leave you
thinking for hours after every
was help available when I needed it.” chapter – I think 1984 is one of
the best in particular.
Rosie Jones
I’ve also signed up to be a College
Second Year, Furness College
Representative for Furness this
BA Mathematics and Philosophy
year, so I'll be looking after
incoming students alongside
other college staff.
For more information, please visit www.lancaster.ac.uk/maths
What is your favourite part about are really phenomenal. I didn’t have a clue what kind
of career I wanted to go into when I started at
studying at Lancaster University? university and the support I have received since then
The community spirit at Lancaster has spurred me has been so useful in helping me to discover what I
on to get involved with so many things and take on am passionate about and find the right career to aim
opportunities that have made my university for. In my first year, I was given the opportunity to visit
experience as amazing as it has been. I have loved a range of graduate employers in Manchester and
studying maths and being able to explore the London with the careers service, as well as attending
subject beyond what is taught in school, as well as networking evenings with Lancaster alumni who were
being surrounded by some incredible minds in the working in graduate roles in both cities. This led me to
Department, however this has realistically only been secure a place on a summer insight programme with
one part of the multi-faceted experience of studying PwC between first and second year.
at Lancaster. Meeting new people, networking,
discovering new hobbies and skills, volunteering,
and working part-time have made up the rest of the How has this all prepared you for a
experience and made me the person who absolutely future career?
loves Lancaster - so I think I’d say my favourite part
has been everything! Many of the modules that I’ve taken have
incorporated practical elements including
statistical programming and group projects. These
What do you like to do when you're experiences have exposed me to the style of work
that I am likely to be doing once I join KPMG and
not studying? have given me a great opportunity to prepare.
Loving
A couple of months after starting university I Outside of my studies I have held part-time jobs as
10 nominated myself for my college’s JCR (the group of both an ambassador for the Maths Department 11
elected students who organise/run college events). and for the University as a whole. Both of these
After being elected, I was responsible for running the roles have been really enjoyable and given me so
Lancaster
college’s social media accounts, as well as helping to much more confidence - I’ve given campus tours to
organise and host events for the college, including hundreds of prospective students and parents
welcome week where I hosted a pub quiz to a over the years as well as delivered presentations to
completely packed out bar of freshers! This a full lecture theatre of applicants about studying at
experience was a huge confidence booster for me Lancaster! I couldn’t have imagined doing those
BSc Mathematics with Statistics and has left me with amazing memories and lots of things before coming to university, but the
stories to impress employers with in applications and opportunities have been incredible, and the
interviews. I have also been a member of Lancaster’s University/Department community is so supportive.
student, Abbie Wright, music society, where I was a member of the brass
band and got to travel to Bangor in Wales for the
Any advice for new students?
has secured a graduate role in UniBrass competition.
Grab the university experience with both hands.
Financial Modelling with KPMG. Do you feel the Department has
I have learned so much about myself and other
people during my time at university and I definitely
supported you with employability feel like I am coming out of it a more well-rounded
and careers? individual. Make sure you try something new and
don’t be afraid to get involved with things that might
The Maths Department has its own dedicated seem daunting at first. Choosing a mathematics
employability staff who are really knowledgeable degree at Lancaster has been the best decision
about the different paths that a degree in maths can I have made in terms of helping me to feel prepared
lead to, including opportunities in employment and for my future (and having an amazing time).
further study. Equally, the careers staff at Lancaster
For more information, please visit www.lancaster.ac.uk/maths
A world
for
Ben
Ben Webb,
MSci Mathematics with
Statistics (Study Abroad),
spent an eventful third year
studying in Canada.
These photos are all either at Western
Study
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
Abroad
place called Haliburton. Western ran a
club called the Outdoors Club, and we
12 stayed overnight in Halliburton. 13
The rest are shots from about campus
– capturing a year I'll never forget.
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 year
at one of Lancaster’s partner 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 best
New Zealand and Australia. 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 of adaptable and independent. You will also
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 Project Skills module Placement year
We are committed to developing your Our second year Project Skills module develops Choosing a Placement/Industry pathway degree
employability skills. Our Academic Employability skills that will enhance your employability. involves spending the third year of your four year
Champion in the Department works in This module includes coursework on scientific degree working full-time in a business. You will be
partnership with the University’s Careers Service writing and using LaTeX software to prepare supported throughout the placement process,
to offer a range of workshops and talks on topics mathematical documents – complementing your receiving advice and support to help you find the right
such as: pure mathematics and statistics knowledge. opportunity and to prepare for all aspects of the
application process. You’ll also be supported
+ Job application processes – CVs and cover You will also complete your own short project in
throughout your time working on placement.
14 letters, interviews and assessment centres either mathematics or statistics and will work 15
+ Careers within specific relevant fields such as on a group project with an academic supervisor, Many students find that a placement year helps them
finance, research, statistics and teaching which will involve investigative research and to decide which career path they would like to take,
presenting a conclusion. and the experience will give you a strong advantage
+ Completing a PhD in mathematics or statistics
when looking for employment opportunities after
+ Career planning Past projects have included:
completing your degree.
+ Postgraduate study options + Modelling premier league football
You can also access 1:1 appointments + Higher dimensional kaleidoscopes
throughout the year through the University’s + Risk factors for low birth weight
Internship scheme
Careers Service. The Department promotes + Secondary treatment in type II diabetes Undertaking relevant work experience while you are
a range of opportunities to meet and network at university is extremely beneficial when applying
with employers through events both on and off for graduate level jobs. Through our Science and
campus. This includes our annual Science Technology Internship Scheme you can apply
and Technology Careers Fair where a range of for paid work placements which give you the
regional and national employers are invited onto opportunity to practice the skills and knowledge
campus to talk about the internship, placement learned during your degree. These opportunities
and graduate opportunities available can be both full and part-time, and range from
to students. 3 months to a year.
Skills for
your future
For more information, please visit www.lancaster.ac.uk/maths
A career for
Megan
Megan Winter, Megan made the most of the
now a Statistician for AstraZeneca graduated opportunities at Lancaster
from our BSc Mathematics programme in 2019,
and our MSc Statistics in 2020. Throughout all aspects of my you can find part-time work on and labs, as well as the
university life I felt very well campus, internships, graduate programming languages, are
supported. Within the colleges jobs, aid in CV writing, financial things that I use daily in my
there were Senior Common issues, and even interview current job.
16 Room staff (SCR) and Junior techniques. All of the support 17
During my 3rd year, I really
Common Room Exec (JCR); they you could ever really need
enjoyed being able to choose all
can help with any issues from during your degree is at your
of my own modules. I was
flat/accommodation problems to fingertips.
always drawn to statistics and
welfare. Within the Department,
Lancaster provided me with lots was able to focus upon this in
The key drawing point that sold new opportunity, putting on living on one end of the campus, you are given an academic
of opportunities to put my skills my final year. It was this year
Lancaster for me was the events for the college, and it’s a maximum 15–20-minute advisor, who is also a lecturer,
to practice. Outside of lectures, I that I discovered Medical
course itself. The lecturers looking at that collaboratively. walk to the other side. I always when you start. They were there
attended workshops with PhD Statistics, and it was ultimately
appeared to be very involved Through intercollege events felt very safe and secure as to make sure that we were
students in which I felt more this module that heavily
and friendly, the course very such as extravs and Roses, I was there are Porters and Security coping and keeping up with our
comfortable in asking questions. influenced my Masters and
much hit all of my key interest able to mix with students from on site 24hrs. studies, they could act as
There were also labs to apply future career. I stayed at
areas, and it allowed me the other colleges and that’s a really referees, and really help point us
During Welcome Week I saw what was taught Lancaster to do a Masters in
flexibility to tailor it to my future big part of your university life. in the right direction. The Maths
there were over 200 societies. programmatically to really Statistics as I was able to
goals. I was a part of Cartmel & Stats Department also has a
The biggest surprise about I carried on with the Scouting broaden the depth of explore my interest in the area of
College and Graduate College Careers Member who can point
Lancaster was everything that that I did back home, but I tried understanding. Second and Medical Statistics. Since
and I was a member of the out graduate opportunities and
I could actually do on campus lots of different things. It was third year contained a lot of completing my studies, I now
Cartmel JCR during my 2nd and internships, and arranges CV
itself. Campus has so many really a big part of what I did at project work; looking at LaTeX work for AstraZeneca as a
3rd year; I felt really involved and interview workshops within
amenities, everything’s in one university, and it really is what and RStudio. All of the skills that Statistician within Oncology, and
with my college and enjoyed this our degree. In addition to all of
place which is so handy. Even you make of it. I developed in these workshops have relocated to Cambridge.
this, there’s also the Base, where
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
BSc Mathematics with
Flexibility
It is possible to transfer
between Mathematics and
A place I have always dreamed of studying abroad;
meeting new people and learning different
cultures. UK is one of the top choices for
for
MSci Mathematics - G101 Mathematics with Statistics
Statistics - G1G3 up until the end of the second international students, it has high
BSc Mathematics year, subject to fulfilling standards, and degrees from UK higher
MSci Mathematics
(Placement) - G102 progression criteria.
with Statistics - G1GJ education providers are respected all
MSci Mathematics
(Study Abroad) - G103
BSc Mathematics
with Statistics (Placement)
- GCG3
Jacqueline around the world. I was attracted to
Lancaster because of its beautiful campus
and lovely city.
18
MSci Mathematics with 19
Statistics (Study Abroad) - Lancaster University has a flexible course
G1GH scheme. The main reason I chose to study
here is because they offered the joint degree I
wanted to take. I chose Computer Science and
Mathematics because they are much needed
in the future and the two subjects complement
each other. The skills I learned from my maths
modules were transferable to my computer
science modules, and vice versa.
Jacqueline Leonardo, I really enjoyed the interactive teachings,
BSc Computer Science and namely the workshop and lab sessions.
Mathematics, grew up in The labs are fully equipped, which
Indonesia and felt at home motivated me and helped increase my
straight away because of productivity. During these classes, I was
the beautiful campus and able to seek help one-on-one with a tutor or
lovely city. a lecturer. I look forward to applying all the
skills (both technical and non-technical)
I acquired during my time at Lancaster
University to my future career.
For more information, please visit www.lancaster.ac.uk/mathsYour
first year
For the majority of how to use the notion of a limit to
define derivatives and integrals
Statistics
MATH110 Discrete Mathematics is convergent, or a given
function defined on the real
20 our degree schemes, for many more functions. You will Statistical thinking plays a key We talk about set theory and numbers is continuous, in a 21
you will follow a also study complex numbers,
which are important in
role in addressing a scientific
problem where the recorded
Mathematical discuss the different types of
infinite sets that exist. We also
precise way. It also forms the
foundations of many of your
common core first
year programme.
themselves and also have
practical uses in, for example,
data is subject to systematic and
random variations. This module Concepts formally introduce functions and
their properties, before going on
future mathematics modules.
electrical engineering. will provide you with the tools to to look at counting problems and
This involves two formulate appropriate models Numbers and Relations methods to solve them, and
and implement the associated ending with graph theory. Integration and
sets of modules and Is it possible to write 84503 as a Differentiation
Further Calculus critical techniques. Graphs have important
a minor subject. sum of the squares of two whole applications in the design and
We take a closer look at
The graphs of functions of two numbers? What is the largest understanding of the properties
real variables look like surfaces, whole number that exactly differentiation and integration,
Linear Algebra of systems such as the
with hills, valleys and other divides both 99457 and 75067? and the relationship between the
infrastructure powering the
features. This module extends Matrices are a concise way of This module will show you how two. You will develop a much
internet, social networks such as
MATH100 calculus to deal with these,
introducing partial derivatives,
writing and solving sets of
simultaneous linear equations,
to answer these and similar
questions. You will also
Facebook, the London
Underground network and the
deeper understanding of
calculus and see how to extend
Mathematical and explains how repeated whose connection with lines and encounter formal logic and learn the theory to more general
global ecosystem.
integration may be used to planes is established. You will about mathematical proof. settings, as well gain an
calculate volume. You will also be appreciation of the limitations of
Methods
explore how matrices can be
introduced to techniques for used to represent certain the theory through some rather
solving elementary differential transformations of the plane or
Convergence and surprising examples.
equations. space and show how these Continuity
transformations can be
Calculus characterised by the way they
No one can walk infinitely many
Geometry and Calculus
Calculus is concerned with
Probability behave in special directions.
steps, perform infinitely many
additions, or write down infinitely How would you find the closest
derivatives (which measure rates In this module you will explore small numbers, but once we point to the origin on a particular
of change) and integrals (which the ideas of probability models, understand the definition of a curve? What is the tangent plane
measure area) and is usually which characterise the limit in mathematics, the idea of to a smooth surface and how do
introduced as rules for outcomes of different types of infinity makes sense. The we find it? This module begins
differentiating or integrating experiment that involve a chance concept of a limit allows us to the study of geometric objects
simple functions. You will see or random component. study whether a given sequence through the use of calculus.
For more information, please visit www.lancaster.ac.uk/mathsChoose 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 minor
22 23
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/Italian
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/mathsSecond 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 in + Multivariate Statistics in
strengths lie.
first year, studying familiar Machine Learning
topics. You will usually take eight
modules from the following: Fourth year
You will be introduced to
computational and Algebra and Geometry During the fourth year of the
mathematical problem solving + Groups and Symmetry MSci course you will be able to
24 choose from a range of 25
methods including software + Number Theory
such as R and LaTeX. Our specialist modules which link to
+ Commutative Algebra research interests of academics
project skills module will
enhance both your subject + Topics in Algebraic Number within the Department. Many
specific and transferable skills. Theory/Algebraic Geometry advanced third year modules
You will complete both an are also available to study.
+ Representation Theory
individual and group project with Examples of possible specialist
+ Topology topics include:
opportunities to develop your
scientific writing, research and + Geometry of Curves and + Principles of Epidemiology
presentation skills. Surfaces
+ Clinical Trials
+ Graph Theory
Autumn Term + Stochastic Calculus for Finance
+ Combinatorics
+ Real Analysis + Computer Intensive Methods
+ Linear Algebra II Analysis + Extreme Value Theory
+ Probability II + Lebesgue Integration + Galois Theory
+ Project Skills + Metric Spaces + Longitudinal Data Analysis
+ Hilbert Space + Infinite-Dimensional Analysis
Spring Term
+ Differential Equations + Lie Theory
+ Complex Analysis
+ Linear Systems
+ Abstract Algebra You will also complete an MSci
+ Statistics II Probability dissertation which can be
+ Computational Mathematics + Probability Theory taken in Statistics or Pure
+ Stochastic Processes Mathematics.
Third year + Mathematics for Stochastic
The third year allows great + Finance
flexibility in terms of module
choices. You are able to pick Statistics
from a range of options across + Likelihood Inference
five key areas. + Bayesian Inference
+ Statistical Models
For more information, please visit www.lancaster.ac.uk/mathsCombined 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 your This programme will equip you
knowledge of advanced with mathematical and analytical
This course will develop your
mathematical and statistical skills whilst also developing the Our Financial Mathematics
knowledge of advanced mathematical
methods and will provide you with knowledge and tools to understand programme provides a thorough
and statistical methods and will provide
the skills to apply this in a the important role of economics in grounding in finance, computing,
you with the skills to apply this in a
professional context to the fields government, business and society. quantitative methods and
professional context to the fields of
of accounting and finance. economics. This will give you a wide
business modelling, analytics and
range of skills and knowledge that
First year decision support.
employers in the finance sector are
First year You will study the Mathematical looking for.
In the first year you will study the Methods module and will take a First year
Mathematical Methods module core module in Principles of
whilst also taking one module in First year In the first year you will study the
Economics during which you
Principles of Economics and an Mathematical Methods module
will be introduced to the You will cover the same content as
Introduction to Accounting and whilst also being introduced to
principles of economics both the single honours programme.
Finance. This will introduce you to key topics in other departments:
26 at microeconomic and 27
a wide range of concepts and A third of your time will be Business Analytics and Principles
macroeconomic levels. You will
techniques including financial spent studying the Introduction of Economics.
also study a careers module
accounting, managerial finance through which will you will gain an to Accounting and Finance
and financial analysis. insight into the graduate labour module which introduces you
Second year and beyond
market. We strongly encourage to a wide range of concepts and
students to take the Mathematical techniques including financial The second year will cover linear
Second year and beyond Concepts module too. accounting, managerial finance algebra, statistics, business
In the second year, you will cover and financial analysis. modelling and optimisation.
probability, statistics, linear algebra You will also develop knowledge of
and computational mathematics Second year and beyond both micro and macroeconomics.
Second year and beyond The final year will allow you to
whilst also developing skills in The mathematical content of the
auditing, accounting systems and The second year will cover the specialise in areas that suit your
second year includes probability,
management accounting. The topics of probability, statistics interests, choosing modules from
linear algebra, statistics and
final year develops your skills in and real analysis whilst also across all relevant departments.
computational mathematics.
financial accounting and will In Economics, you will be able developing your understanding
introduce you to likelihood to choose from a range of topics, of the principles of finance and
inference. You will also enhance such as Micro- and introducing you to management
your employability skills through Macroeconomics (providing an economics.
sector specific careers modules essential foundation for final year
In the final year you will have the
delivered as part of this modules), Econometrics, Applied
flexibility to choose from
programme. Economics and Game Theory. The
a range of relevant modules.
final year of the course allows you
If you are taking the MSci pathway
to choose from a range of options
you will have the opportunity to
offered by both departments.
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/mathsCombined 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 BSc (Placement Year) - MSci - F3G1
Studying mathematics and philosophy
as a combination will develop your GG1L
reasoning, logic and analytical skills in
BA Spanish - GR14 MSci (Study Abroad)
both a numerical and non-numerical MSci - GG1K - F3G5
context. This will prepare you well for
BA Chinese - T1G1
a wide range of careers.
Mathematics underpins technology This engaging programme combines
This programme will allow you to and so these two subjects create an pure mathematics with the theoretical
study a modern language to an
First Year exciting combination. The computer concepts of physics. Mathematical
advanced level whilst also gaining science component of this degree
The first year mathematics and models can be used to describe known
strong analytical skills. Spending your covers languages and logic, software
statistics content is common to the facts and to be predict new
third year abroad, you will get the engineering, communications and
single honours degrees, however phenomena. The combination of the
chance to put your language skills systems. The course contains
you will also spend a third of your two subjects creates a challenging and
into practice whilst experiencing a a careful balance of theory and
time studying the first year exciting programme of study.
new culture. This programme practice which can lead to jobs
Introduction to Philosophy which prepares you well for a range of
introduces you to knowledge and in all areas of industry.
careers such as in the diplomatic First year
reality, critical thinking, political service, civil service and teaching.
philosophy and ethics. You will study the Mathematical
28 First year 29
Concepts and Methods modules
First year Covering the common core content whilst developing your knowledge of
Second year and beyond of the single honours programmes, key physics concepts including
You will study the Mathematical you will also be introduced to the
In the second year, you will study mechanics, quantum physics, vector
Methods module and take a core fundamentals of computer science
the core components of the calculus, electric and magnetic fields
module in your chosen modern and to software development.
mathematics syllabus in analysis and the thermal properties of matter.
language in which you will develop
and algebra, supplemented by some your speaking and writing skills and
optional modules in Philosophy, enhance your cultural knowledge. Second year and beyond Second year and beyond
including Values and Objectivity, It is highly recommended that you
Metaphysics and Philosophy of In the second year, you will complete Throughout the second and third year
also study the Mathematical a group project in computer science
Science. In your third year you will be you will take a number of compulsory
Concepts module. and will enhance your knowledge of
able to choose from a wide range of modules which will develop your
modules in either discipline. software design whilst introducing theoretical knowledge and application
Second year and beyond you to Human-Computer Interaction skills in both mathematics and physics.
Technology. You will also be required In the third year you will undertake both
You will be required to take four to study linear algebra plus three an independent and group project
second year mathematics modules other subjects from the Department based on an open-ended theoretical
whilst developing your oral and of Mathematics & Statistics. The physics project (excluding Study
written skills and studying culture third year allows for more flexibility Abroad students, who spend this year
modules relating to your target and you will be required to take four overseas; please see pp 12-13 for
language country(ies). Following your modules in each of the subject areas. information about Study Abroad).
third year abroad, during which you Those on the MSci pathway will
will complete a reflective assignment, complete a dissertation in For those on the MSci pathway, you will
the fourth year of the course will mathematics or statistics or may undertake a Masters project and
further enhance your mathematical complete a computer science complete a literature review. This will be
and language skills. You will also be project. You will also be able to on a topic of your choice from a range
able to choose from a wide range of choose from a wide range of of options based on departmental
modules covering the culture(s) of the specialist modules linked to the research specialisms. You will also take
target language country(ies) as well research expertise of the two three specialist modules from Physics
as mathematics and statistics. departments. and two specialist modules from
Mathematics.
For more information, please visit www.lancaster.ac.uk/mathsProgramme of Study
BSc/BSc (Placement Year) /MSci/MSci
Entry requirements (Study Abroad)
+ Mathematics
+ Mathematics with Statistics
BSc/BSc (Placement Year) /MSci Financial
Mathematics
The A level entry requirements for BSc/BSc (Placement Year)/MSci Computer
Science and Mathematics
each of our programmes are listed BA Mathematics and Philosophy
below. For alternative qualifications BSc/BSc (Industry) Mathematics,
Operational Research, Statistics
and international entry requirements, and Economics (MORSE)
please contact Including Maths
(at Grade A) AAA
†
ugadmissions@lancaster.ac.uk
Including Maths Including Maths and Further Maths
Additional tests
TMUA & STEP †
Programme of Study
(at Grade A) (at least one at Grade A)
BSc/BSc (Placement Year) /MSci/MSci
(Study Abroad)
+ Mathematics
Whilst not required, we you will normally receive a STEP, this won’t harm your
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
30 BSc/BSc (Placement Year)/MSci Computer Science AAA
†
AAB
† take and this is reflected won’t harm your chances of we will treat you exactly the
31
receiving an offer from us. same as if you hadn’t sat STEP
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 Uni- If you meet our requirements for
STEP consists of two papers set
BA French Studies and Mathematics versity Admission by Cambridge Assessment, and TMUA or STEP you will normally
receive an alternative offer with
BA German Studies and Mathematics
AAB ABB (TMUA) are sat in June. They are de-
a one grade reduction.
BA Spanish Studies and Mathematics signed to really test your prob-
(Including language grade B) (Including language grade B) The Test of Maths for University lem-solving skills.
BA Chinese Studies and Mathematics Admission (TMUA) is set by
Cambridge Assessment and sat Each paper lasts three hours
and contains eleven or twelve
Before you receive
in November. The TMUA is
BSc/ BSc (Industry) Accounting, designed to test your problem- relatively long questions, all an offer
Finance and Mathematics AAB including Maths or solving and readiness for of which are optional - you
If you complete your test before
BSc/BSc (Industry) Economics and Mathematics Further Maths Grade A university-level mathematics. answer as many of them as
the point of offer, we will take
There are two multiple-choice you wish, up to a maximum of
your test result into account at
question papers, each lasting six questions. You may enter
this stage.
75 minutes. any combination of the two
BSc Theoretical Physics with Mathematics papers.
AAB including Maths and Physics at grade A
Results are available at the end
We value the way that
of November - you will receive a After you have received
grade ranging from 1.0 to 9.0. STEP develops advanced
MSci/ MSci (Study Abroad) Theoretical
Physics with Mathematics problem-solving skills and all an offer
AAA including Maths and Physics A strong performance of 4.5 our standard offers include an We will review your offer taking
or above in the TMUA is very alternative, lower offer that
impressive. If you sit the TMUA your new test results into
includes a pass (Grade 3) in any account and may amend it to
and perform sufficiently well STEP. Sitting STEP is optional, a lower offer.
and if you choose not to sit
†
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/mathsDisclaimer
The information provided in this brochure
relates primarily to 2022/23 entry to the
University and every effort has been taken to
ensure the information is correct at the time
of printing in June 2021. 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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