## Mr O'Reilly

matthew.oreilly@coundoncourt.org

Mr Lanwarne

stephen.lanwarne@coundoncourt.org

## Entry Requirements

Grade 8 in GCSE Mathematics (you must also take A-Level Mathematics)

## About the course

Further maths isn't just about "doing harder maths", it's about experiencing a huge wealth of mathematics and getting to discover some truly fascinating and beautiful aspects of mathematics. You will learn how to apply A level maths skills to new knowledge, gaining a much broader appreciation of the strong links between seemingly disparate topics. You'll also get to learn about Decision Mathematics, which is heavily related algorithms and computer science.

If you love maths, and you want to study maths, engineering, physics or computer science (in particular) at university, then you should consider taking this extra A-Level.

## Further Maths

Possible future careers...

Year 12 Topics

Pure Mathematics

1 Complex Numbers

2 Argand Diagrams

3 Series

4 Roots of Polynomials

5 Volumes of Revolution

6 Matrices

7 Linear Transformations

8 Proof by Induction

9 Vectors

Applied Mathematics

D1 Algorithms

D2 Graphs and Networks

D3 Algorithms on graphs

D4 Route Inspection

D5 Linear Programming

D6 Critical Path Analysis

M1 Momentum and Impulse

M2 Work, Energy and Power

M3 Elastic Collisions in One Dimension

Goes well with...

Computer Science

Year 13 Topics

Pure Mathematics

1 Complex Numbers

2 Series

3 Methods in Calculus

4 Volumes of Revolution

5 Polar Coordinates

6 Hyperbolic Functions

7 Methods in Differential Equations

8 Modelling with Differential Equations

Applied Mathematics

D1 Graphs and Networks

D2 Route Inspection

D3 The Travelling Salesman Problem

D4 The Simplex Algorithm

D5 Critical Paths Analysis

M1 Momentum and Impulse

M2 Elastic Strings and Springs

M3 Elastic Collisions in Two Dimensions

Exams

You will have 4 exam papers at the end of Year 13.

- Paper 1 and 2 are Core Pure Mathematics (and makes up 2/3 of the marks). Each paper is 1 hr 30 mins.

- Paper 3a is Mechanics (worth 1/6 of the marks). This paper is 1 hr 30 mins.

- Paper 3b is Decision (worth 1/6 of the marks). This paper is 1 hr 30 mins.

There is no specific content for Paper 1 and 2, but they will exam only the Core Pure element of the course.

Paper 3a and 3b will contain only Mechanics and Decision content, respectively.