# Further Mathematics A Level at UTC Reading

## Course description

A-Level Mathematics and Further Mathematics cover a wide range of mathematical topics and strands. Here at the UTC we have a team of passionate teachers delivering the content of A-Levels to complement the specialisms of the UTC.

## Course content

At AS-Level you will choose:

• Further Pure 1 which is a compulsory module
• Statistics 1 to assist students to analyse and represent data professionally
• Numerical methods or mechanics 1 depending on the year of entry

Further Pure 1
Matrices, complex numbers,
graphs of rational functions
and inequalities, identities
and roots of equations, series
formulae and proof by induction.
Statistics 1 Data representation, probability,
discrete random variables,
binomial distribution and
hypothesis testing using
the binomial distribution. Numerical methods           Solutions of equations, error,
numerical differentiation and
integration techniques,
approximations of functions.  Mechanics 1 Modelling with point particles,
vectors, kinematics, forces,
Newton’s laws of motion and projectiles.

At A-Level you will study:

• Core 3*, core 4 and further pure 2 which are compulsory modules
• Mechanics 2
• Differential equations*
• Decision 2
• Numerical methods* or mechanics 1 depending on year of entry

*These modules include a 20% coursework element.

Core 3
mathematics                                                               Algebra and functions, further
differentiation and integration
techniques, natural exponentials,
natural logarithms and proof. Core 4
mathematics Further algebra, further trigonometry,
parametric equations, vectors and
calculus – including volumes of
revolutions and differential equations. Further pure 2
Further methods for
advanced mathematics          Polar coordinates, calculus – including
differentiating inverse trigonometry,
complex numbers, matrices, series
and hyperbolic functions.   Mechanics 2 Frameworks, work, energy and
power, momentum and impulse,
friction and the centre of mass of
plane lamina.  Differential equations Modelling with differential equations,
separation of the variables, integrating
factor method, auxiliary equation method,
simultaneous differential equations and
numerical methods to solve DEs. Decision 2 Logic, network problems, game theory
and further linear programming methods. Numerical methods Solutions of equations, error, numerical
differentiation and integration techniques, approximations of functions. Mechanics 1 Modelling with point particles, vectors,
kinematics, forces, Newton’s laws of motion
and projectiles.

## How to apply

If you want to apply for this course, you will need to contact UTC Reading directly.

Last updated date: 08 June 2015