Further Mathematics

Head of Department

Mr N Riseborough BSc (Hons), PGCE

A Level Course Outline

A Level Further Mathematics is studied in conjunction with A Level Mathematics. Students will have the opportunity to discover further areas of Mathematics whilst developing a more in-depth understanding of concepts covered in the standard Mathematics A Level course. Students will also read Further Pure Mathematics components and additional minor components in Statistics, Mechanics and Modelling with Algorithms.

Higher Education and Career Opportunities

Course Content

Examination Board	OCR (MEI)	Full details of the specification and assessment criteria can be found on the OCR website Further Mathematics B (MEI) - H635, H645
Both the AS and the A Level are divided into a mandatory Further Core Pure component and a variety of options. Further Mathematics will extend the skills learnt in the full A Level Mathematics course. The content for Further Core Pure (A Level) extends the content of Further Core Pure (AS). All components are assessed in the summer via a written examination. Students cannot certify for an A Level and AS Level in the same examination period.
AS Level	Unit 1	Further Core Pure (AS) 33⅓% of total AS level 1 hour 15 minutes written paper Option in Statistics 33⅓% of total AS level 1 hour 15 minutes written paper Option in Modelling with Algorithms 33⅓% of total AS level 1 hour 15 minutes written paper
A Level	Unit 2	Further Core Pure (A Level) 50% of total A level 2 hour 40 mins written paper Minor Option in Mechanics 16⅔% of total A level 1 hour 15 mins written paper Minor Option in Statistics 16⅔% of total A level 1 hour 15 mins written paper Minor Option in Modelling with Algorithms 16⅔% of total A level 1 hour 15 mins written paper

Examination Board

OCR (MEI)

Full details of the specification and assessment criteria can be found on the OCR website

Further Mathematics B (MEI) - H635, H645

Both the AS and the A Level are divided into a mandatory Further Core Pure component and a variety of options. Further Mathematics will extend the skills learnt in the full A Level Mathematics course. The content for Further Core Pure (A Level) extends the content of Further Core Pure (AS).

All components are assessed in the summer via a written examination. Students cannot certify for an A Level and AS Level in the same examination period.

AS Level

Unit 1

Further Core Pure (AS)
33⅓% of total AS level
1 hour 15 minutes written paper

Option in Statistics
33⅓% of total AS level
1 hour 15 minutes written paper

Option in Modelling with Algorithms
33⅓% of total AS level
1 hour 15 minutes written paper

A Level

Unit 2

Further Core Pure (A Level)
50% of total A level
2 hour 40 mins written paper

Minor Option in Mechanics
16⅔% of total A level
1 hour 15 mins written paper

Minor Option in Statistics
16⅔% of total A level
1 hour 15 mins written paper

Minor Option in Modelling with Algorithms
16⅔% of total A level
1 hour 15 mins written paper

Curriculum Programmes of Study

Year	Cycle	Content
Year 12	Cycle 1	Matrix Addition & Multiplication Matrices - Transformations Introduction to Radians Matrices and Inverses Introduction to Complex Numbers Graphs Algorithms Kruskal's, Prim's & Dijkstra's Algorithms Critical Path Analysis Network Flows
	Cycle 2	Polynomials Complex Numbers and Geometry Matrices Review Linear Programming Simplex Method
	Cycle 3	Vectors & 3D Space Complex Numbers Review Sequences Trig Identities Vectors Review of Polynomials Kinematics Force and Motion
Year 13	Cycle 1	Series and Induction McClaurin Series Vectors 2 Complex Numbers Polar Coordinates Expectation & Variance Uniform Distributions Binomial Distribution Geometric Distribution Model for Friction Moments Centre of Mass
	Cycle 2	Hyperbolic Functions First Order Differential equations Integration: Volumes of Revolution Second Order Differential Equations Bivariate Data Poisson Distribution Work Energy Power Impulse and Momentum Dimensional Analysis
	Cycle 3	Syllabus completed by Easter Break of Year 13 Final mock Revision Past papers

Devonport High School for Girls