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Devonport High School for Girls

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

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.

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

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