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Further Mathematics
What is A level Further Mathematics?
What Maths GCSE grade is required to study Further
Mathematics?
Why should my daughter/son study A level Further
Mathematics?
What support is available?
What are the career opportunities with A level Further
Mathematics?
Is A level Further Mathematics needed for entry to
university degree courses?
Important questions
What is Further Mathematics? Further Mathematics is an additional A level qualification taken
alongside A level Mathematics.
It is designed to stretch and challenge able mathematicians
introducing new techniques and concepts such as complex numbers
and matrices.
It is excellent preparation for degree courses in Mathematics and
other mathematical subjects.
What is covered in Further Mathematics?
What is covered in Further Mathematics?
What pure maths is covered in Further Mathematics?
Complex numbers are based on
the ‘imaginary’ number −1. They
lead to the study of lots of new
areas of mathematics, including
fractals like those shown in the
image above.
Matrices are arrays of numbers such
as 1 00 2
. They can be used to solve
sets of simultaneous equations and to
represent transformations such as the
shear shown in the diagram below.
Two examples of important Further
pure topics are complex numbers and
matrices.
What pure maths is covered in Further Mathematics?
What is Statistics?
Actuaries study statistical information to calculate the risk
of a driver of a certain age having a car accident or the risk
of flood. This information would be used by insurers in
establishing the cost of the annual premiums.
Reaching conclusions from data
and calculating the chance of an
event occurring
What Statistics is covered in Further
Mathematics?
What is Discrete/Decision Mathematics?
One area of discrete mathematics is graph theory, which
includes solving problems such as:
What would be the most
efficient route for delivering
post around this network of
streets?
This topic uses algorithms
vital in computer science.
(Image taken from
http://www.nuffieldfoundation.org/sites/default/files/files/FSMA%20Chinese%20postman%20problems%20student.pdf)
What Decision is covered in Further
Mathematics?
What Maths GCSE grade is required to
study Further Mathematics?
Grade 7 or above
Why study A level Further Mathematics?
Studying Further Mathematics will:
provide a stimulating and challenging course;
develop key employability skills such as problem-solving,
logical reasoning, communication and resilience;
increase knowledge and understanding of mathematical
techniques and their applications;
support the study of other A level subjects;
provide excellent preparation for a wide
range of university courses;
lead to a versatile qualification that is
well-respected by employers and higher
education.
Why study A level Further Mathematics?
Students taking Further Mathematics overwhelmingly find it to
be an enjoyable, rewarding, stimulating and empowering
experience.
It is a challenging qualification, which both extends and deepens
your knowledge and understanding beyond the standard A level
Mathematics. Students who do it often say it is their favourite
subject.
Why study A level Further Mathematics?
For someone who enjoys mathematics, it provides a challenge
and a chance to explore new and/or more sophisticated
mathematical concepts.
As well as new learning new areas of pure mathematics you will
study further applications of mathematics in mechanics, statistics
and decision mathematics.
Why study A level Further Mathematics?
Students who take Further Mathematics find that the additional
time spent studying mathematics boosts their marks in single A
level Mathematics.
Any student capable of passing an AS/A level in Mathematics should
also be able to pass AS Further Mathematics. Studying Further
Mathematics consolidates and reinforces your standard A level
Mathematics work, helping you to achieve your best possible
grades.
Why study A level Further Mathematics?
It makes the transition from sixth form to university courses
which are mathematically rich that much easier as more of the
first year course content will be familiar.
If you are planning to take a degree such as Engineering, Sciences,
Computing, Finance/Economics, etc., or perhaps Mathematics itself,
you will benefit enormously from taking Further Mathematics. Further
Mathematics introduces new topics such as matrices and complex
numbers that are vital in many STEM degrees. Students who have
studied Further Mathematics find the transition to such degrees far
more straightforward.
Why study A level Further Mathematics?
It enables students to distinguish themselves as able
mathematicians in their applications for university and future
employment.
Further Mathematics qualifications are highly regarded and are
warmly welcomed by universities. Students who take Further
Mathematics are really demonstrating a strong commitment to their
studies, as well as learning mathematics that is very useful for any
mathematically rich degree. Some prestigious university courses
require you to have a Further Mathematics qualification and others
may adjust their grade requirements more favourably to students
with Further Mathematics.
What support is available? Access to an electronic textbook
https://www.activeteachonline.com/product
Access to http://www.mathsnetalevel.com/index.php and http://www.mymaths.co.uk/ for online help
Drop in/revision sessions once a week to enhance and aid understanding
A typical Year 12 student…
What are the career opportunities?
Is A level Further Mathematics needed for entry to
university degree courses?
University entry requirements
Look at the entry requirements on the individual
university’s website for the degree subjects that your
son/daughter might be interested in.
In some cases a qualification in Further Mathematics will
reduce the grades required for entry to a degree course
in a related subject.
Look at www.ucas.ac.uk for
additional information.
Exemplar Entry Requirements
Typical offers are:
AAA or A*AB
AAB or A*BB , including Further Mathematics A-level
In all cases, the first grade quoted is the Mathematics A-
level.
Leeds University (Mathematics degree), 2019 entry
Exemplar Entry Requirements
A*A*A (A* in Mathematics), plus STEP.
Many colleges also require Further Mathematics.
For 2019 entry A level Further Mathematics will be
required by all colleges.
Cambridge University (Mathematics degree)
My son/daughter loves mathematics –
how can they be stretched?
Take Further Mathematics
Participate in the Senior Maths
Challenges in the Autumn term
Study for additional qualifications
in mathematics such as AEA, STEP
or MAT, which are required for entrance to some leading
universities to study mathematics.
Other sources of information
Your maths teacher
FMSP website www.furthermaths.org.uk
Maths Careers website www.mathscareers.org.uk
Future Morph careers website www.futuremorph.org
Universities and Colleges Admissions Service (UCAS)
www.ucas.com
Best course 4 me www.bestcourse4me.com
Tomorrow’s Engineers www.tomorrowsengineers.org.uk
The Institute of Physics (IOP) www.iop.org
Any questions?
Calculator!