# Mathematics - Further A level at The Holy Cross School

## Course description

Further Mathematics is designed for students with an enthusiasm for mathematics, many of whom will go on to degrees in mathematics, engineering, the sciences and economics.

The qualification is deeper and broader than A Level Mathematics. As well as building on algebra and calculus introduced in A Level Mathematics, the Further Mathematics core content introduces complex numbers and matrices, fundamental mathematical ideas with wide applications in mathematics, engineering, physical sciences and computing. The non-core content will cover pure mathematics, statistics and mechanics to a deeper level. This will require students to use their mathematical knowledge to make logical and reasoning decisions, in solving problems both within pure mathematics and in a variety of contexts and communicate the mathematical rationale for these decisions clearly.

The additional work in Pure Maths makes it a good choice for students with strong mathematical skills who are planning to study mathematics, physics or engineering at university, and for some courses in Maths (or subjects based on Maths) at Oxford or Cambridge and some of the other Russell Group universities, it is a requirement.

## Course content

**Paper 1: Further Pure Mathematics 1. Written examination of 75 marks (1 hr 30 min)
**

**Students will study the following topics: **

Proof, Complex numbers, Matrices, Further algebra and functions, Further calculus, Further vectors

**Paper 2: Further Pure Mathematics 2. Written examination of 75 marks (1 hr 30 min).
**

**Students will study the following topics:** Complex numbers, Further algebra and functions, Further calculus, Polar coordinates, Hyperbolic functions, Differential equations

**Paper 3: Further Mathematics Option 1-written examination of 75 marks (1 hr 30 min)
**

**Students will ****take one of the following options:**

**Further Pure Mathematics 3** - Further calculus, Further differential equations, Coordinate systems, Further vectors, Further numerical methods, Inequalities

**Further Mechanics 1** - Momentum and impulse, Collisions, Centres of mass, Work and energy, Elastic strings and springs

**Paper 4: Further Mathematics Option 2. Written examination of 75 marks (1 hr 30 min)
**

**Students will take one of the following options:**

**Further Pure Mathematics 4** - Groups, Further calculus, Further matrix algebra, Further complex numbers, Number theory, Further sequences and series

**Further Mechanics 1** - Momentum and impulse, Collisions, Centres of mass, Work and energy, Elastic strings and springs

**Further Mechanics 2** - Further kinematics, Further dynamics, Motion in a circle, Statics of rigid bodies, Elastic collisions in two dimensions

## Entry requirements

GCSE Grade 8 or above in Mathematics.

## Assessment

The Pearson Edexcel Level 3 Advanced GCE in Further Mathematics consists of four externally examined papers.

## How to apply

If you want to apply for this course, you will need to contact The Holy Cross School directly.