# Further Maths AS and A Level (Edexcel) at Crawshaw Academy

## Course description

**Course Description**

Students study three modules for AS Level: Further Pure 1 (compulsory) then 2 other modules out of Further Pure 2, Decision 1, Decision 2, Statistics 1, Statistics 2, Mechanics 1, Mechanics 2 (All worth 33.3% of the AS grade), all assessed by exam (1 hour 30 minutes each). Choice of modules depends on AS Mathematics modules (modules cannot be repeated in both qualifications).

For A Level, students study the following modules: Further Pure 2 (compulsory) then 2 other modules from Further Pure 3, Decision 1, Decision 2, Statistics 1, Statistics 2, Statistics 3, Statistics 4, Mechanics 1, Mechanics 2, Mechanics 3, Mechanics 4, Mechanics 5 (All worth 33.3% of A2, but 16.6% of the A2 grade), all assessed by exam (1 hour 30 minutes each). Choice of modules dependent on AS modules and Mathematics AS/A2 modules (modules cannot be repeated in both qualifications).

## 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 5 x 9-4 in GCSE subjects, including grade 7 in Mathematics.

## 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**

A wide range of career options and degrees are open to students who have a maths A Level. Common jobs leading from a Mathematics degree are; Software professionals, Information and communication technology manager, IT strategy and planning professionals, teachers, management consultants/actuaries/economists/statisticians.

## Further information

**Further Information**

For further information on this course, speak with a member of the Mathematics Department at school, or check the AS and 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.