# Further Mathematics at Yavneh College

## Course description

**Exam Body: Edexcel**

Students study 3 units at AS Level and 3 units at A2 Level, covering further pure mathematics (FP units), mechanics (M units) and decision mathematics (D units). Each unit is assessed by a 1½ hour written paper, all of which are equally weighted.

## Course content

**AS Level**

Unit FP1: Complex numbers; numerical solutions of equations; coordinate systems; matrix algebra; series; proof by mathematical induction.

Unit M1: 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.

Unit D1: Algorithms; graphs and networks; algorithms on networks; route inspection; critical path analysis; linear programming; matchings.

**A2 Level**

Unit FP2: Inequalities; series; further complex numbers; first order differential equations; second order differential equations; Maclaurin and Taylor series; polar coordinates.

Unit FP3: Hyperbolic functions; further coordinate systems; differentiation; integration; vectors; further matrix algebra.

Unit M2: Kinematics of a particle moving in a straight line; centres of mass; work, energy and power; collisions; statics of rigid bodies.

Unit M3: Further kinematics; elastic strings and springs; further dynamics; motion in a circle; statics of rigid bodies.

Unit D2: Transportation problems; allocation problems; the travelling salesman problem; further linear programming; game theory; network flows; dynamic programming.

Unit S3: Combination of random variables; Sampling; Estimation, confidence intervals and tests; Goodness of fit and contingency tables; Regression and correlation.

## Entry requirements

Students should have a good A or an A* in GCSE Mathematics to study AS Further Mathematics. It is also important that students are aware that they will need to achieve an A grade at AS in order to continue studying Further Mathematics at A2 level.

## Future opportunities

There are many good reasons to take Further Mathematics:

Students taking Further Mathematics overwhelmingly find it to be an enjoyable, rewarding, stimulating and empowering experience. For someone who enjoys mathematics, it provides a challenge and a chance to explore new and/or more sophisticated mathematical concepts. It enables students to distinguish themselves as able mathematicians in the university and employment market. 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 mathematics rich degree. Some prestigious university courses will only accept students with Further Mathematics qualifications. It is increasingly becoming an essential or preferred qualification for many mathematics rich courses including physics, engineering and economics at some universities.

## How to apply

If you want to apply for this course, you will need to contact Yavneh College directly.