# Further Maths A Level (Edexcel) at Priesthorpe School

## Course description

**Course Description**

**Further Mathematics is a course designed
to be taken by students also taking A Level Mathematics. Students
should have achieved Grade 7 or higher at GCSE
Mathematics. All students will study for the Pearson
Edexcel Level 3 Advanced GCE in Further Mathematics (9FM0). The
Pure Mathematics content represents half of the course, and will
cover the following topics: Proof, Complex Numbers, Matrices, Further
algebra and functions, Further calculus, Further vectors, Polar
coordinates, Hyperbolic functions, Differential equations. The
other half of the course covers Option material related to Pure Mathematics,
Statistics, Mechanics and Decision Mathematics.**

**At the end of the two-year course students
will sit four externally assessed written examination papers,
each lasting for 1 hour and 30 minutes.**

**The key aims and objectives of this
qualification are similar to the A-level Mathematics course.**

## Course content

**Course Content**

**AS Further Mathematics**

Further Pure 1: Series; complex numbers; numerical solution of equations; coordinate systems, matrix algebra, proof.

Statistics 1: Mathematical models in probability and statistics; representation and summary of data; probability; correlation and regression; discrete random variables; discrete distributions; the Normal distribution.

Statistics 2: The Binomial and Poisson distributions; continuous random variables; continuous distributions; samples; hypothesis tests.

Mechanics 1: Mathematical models in mechanics; vectors in mechanics; kinematics of a particle moving in a straight line; dynamics of a particle moving in a straight line or plane; statics of a particle; moments.

Mechanics 2: Kinematics of a particle moving in a straight line or plane; centres of mass; work and energy; collisions; statics of rigid bodies.

Decision 1: Algorithms; algorithms on graphs; the route inspection problem; critical path analysis; linear programming; matchings.

Decision 2: Transportation problems; allocation (assignment) problems; the travelling salesman; game theory; further linear programming, dynamic programming; flows in networks.

**A2 Further Mathematics **

Modules from above not taken from AS can be taken in A2.

Further Pure 2: Inequalities; series, first order differential equations; second order differential equations; further complex numbers, Maclaurin and Taylor series.

Further Pure 3: Further matrix algebra; vectors, hyperbolic functions; differentiation; integration, further coordinate systems.

Statistics 3: Combinations of random variables; sampling; estimation, confidence intervals and tests; goodness of fit and contingency tables; regression and correlation.

Statistics 4: Quality of tests and estimators; one-sample procedures; two-sample procedures.

Mechanics 3: Further kinematics; elastic strings and springs; further dynamics; motion in a circle; statics of rigid bodies.

Mechanics 4: Relative motion; elastic collisions in two dimensions; further motion of particles in one dimension; stability.

Mechanics 5: Applications of vectors in mechanics; variable mass; moments of inertia of a rigid body; rotation of a rigid body about a fixed smooth axis.

## Entry requirements

**Entry Requirements**

Entrants to the course must have achieved at least 5x 9-4 at GCSE subjects, including GCSE Mathematics at grade 7.

## Assessment

**Assessment**

At AS Level, assessment is via three external, written exams of one hour and thirty minutes each.

At A Level, assessment is via three external, written exams of one hour and thirty minutes each.

## Financial information

none

## Future opportunities

**Future Opportunities**

**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
may adjust their grade requirements more favourably to students
with Further Mathematics. If you are not planning to study for mathematically
rich degrees but are keen on mathematics you will find
Further Mathematics a very enjoyable course and having a Further
Mathematics qualification identifies you as having excellent analytical
skills, whatever area you are considering for a career.**

## Further information

**Further Information**

For further information on this course, speak with a member of the Mathematics Department at school, or check the A Level specification on the Edexcel website: https://qualifications.pearson.com/en/qualifications/edexcel-a-levels/mathematics-2008.html

## How to apply

You can apply for this course through UCAS Progress. Add this course to your favourites so you can start making an application.