# Further Mathematics at Oaklands Catholic School

## Course description

The study of Further Mathematics will enable students to:

• develop their understanding of Mathematics and mathematical processes in a way that promotes confidence and fosters enjoyment
• extend their range of mathematical skills and techniques and use them in more difficult unstructured problems
• recognise how a situation may be represented mathematically and understand the relationship between ‘real world’ problems and  standard and other mathematical models and how these can be  refined and improved
• read and comprehend mathematical arguments and articles concerning applications of mathematics
• develop an awareness of the relevance of mathematics to other fields of study, to the world of work and to society in general

## Course content

Unit 1
Decision Mathematics 1 (D1)

• Algorithms
• Graph Theory
• Networks
• Linear Programming

Unit 2
Further Pure Mathematics 1 (FP1)

• Summation of series
• Mathematical induction
• Roots of polynomial equations
• Complex numbers
• Matrices

Unit 3
Mechanics (M2)

• Projectiles
• Energy
• Centre of Mass
• Impulse

Unit 4
Further Pure Mathematics 2 (FP2)
Rational functions and graphs

• Polar co-ordinates
• Hyperbolic functions
• Differentiation and integration
• Numerical methods

Unit 5
Probability and Statistics 2 (S2)

• Continuous random variables
• The normal distribution
• The poisson distribution
• Sampling and hypothesis testing

Unit 6
Decision Mathematics 2 (D2)

• Game theory
• Flows in a network
• Matching and allocation problems
• Critical path analysis
• Dynamic programming

## Entry requirements

A minimum of 5 A*-C grades at GCSE including English and Maths. Predicted GCSE grade A* in Maths is essential. Students should have achieved this grade from a Year 11 top set in Maths.

## Assessment

Unit 1

Decision Mathematics 1 (D1):

• 1hr 30min written paper (all questions compulsory)
• Calculators allowed

Unit 2

Further Pure Mathematics 1 (FP1)

• 1hr 30min written assessment (all questions should be attempted).
• Calculators allowed – Graphics calculator recommended.

Unit 3

Mechanics (M2)

• Each is a 1hr 30min written paper.
• Graphics calculator strongly recommended.

Unit 4

Further Pure Mathematics 2 (FP2)
Rational functions and graphs

• A 1hr 30 min written paper where all questions should be attempted
• Calculators are allowed and graphicscalculator recommended

Unit 5

Probability and Statistics 2 (S2)

• 1hr 30 min written paper (attempt all questions)
• Graphics calculator strongly recommended

Unit 6

Decision Mathematics 2 (D2)

• 1hr 30 min written paper (all questions should be attempted)
• Calculator allowed.

## Future opportunities

The problem solving skills and ability to tackle tasks logically gained from Maths, make Mathematics relevant to many subjects at Higher Education and University.

Mathematics is a highly recognised Advanced level subject for entry to University and Higher Education and it is a useful stepping stone to Engineering, Sciences, Computing and Business related subjects.

Mathematics is especially relevant to those wishing to pursue careers in Finance, Business, Research, Engineering, Education, Accountancy and IT.

## How to apply

If you want to apply for this course, you will need to contact Oaklands Catholic School directly.

Last updated date: 21 March 2016