# 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.