Christian Head, Kirkby Stephen, Cumbria, CA17 4HA

01768 371693

Kirkby Stephen Grammar School

A Co-operative Academy

A Level Further Maths

Further Mathematics A-Level

Further Mathematics is an additional A-Level qualification taken alongside the usual A-Level mathematics course.  For someone who enjoys mathematics, it provides a challenge and a chance to explore new and more sophisticated mathematical concepts.  You will study new areas of pure mathematics and further applications in mechanics, statistics and decision maths.

It can make the transition from sixth form to university courses, which are mathematically rich, that much easier. It is a highly regarded qualification and warmly welcomed by universities. Students who take Further Mathematics are really demonstrating a strong commitment to their studies. Some university courses require you to have a Further Mathematics qualification and others may adjust their grade requirements more favourably to students with Further Mathematics.

 

The Structure of the Qualification

Further Pure Mathematics 1:

  • Proof
  • Complex Numbers
  • Matrices
  • Further Algebra and Functions
  • Further Calculus
  • Further Vectors

Further Pure Mathematics 2:

  • Complex Numbers
  • Further Algebra and Functions
  • Further Calculus
  • Polar Co-Ordinates
  • Hyperbolic Functions
  • Differential Equations

Further Mathematics Options 1 (students take one of the following):

  • 3A - Further Pure Mathematics:
    • Further Calculus
    • Further Differential Equations
    • Co-Ordinate Systems
    • Further Vectors
    • Further Numerical Methods
    • Inequalities
  • 3B - Further Statistics 1:
    • Linear Regression
    • Statistical Distributions (Discrete)
    • Statistical Distributions (Continuous)
    • Correlation
    • Hypothesis Testing
    • Chi Squared Tests
  • 3C - Further Mechanics 1:
    • Momentum and Impulse
    • Collisions
    • Centres of Mass
    • Work and Energy
    • Elastic Strings and Springs
  • 3D - Decision Mathematics 1:
    • Algorithms and Graph Theory
    • Algorithms on Graphs
    • Algorithms on Graphs II
    • Critical Path Analysis
    • Linear Programming

Further Mathematics Option 2 (Students take another from options 1 or one of the following):

  • 4A - Further Pure Mathematics 4:
    • Groups
    • Further Calculus
    • Further Matrix Algebra
    • Further Complex Numbers
    • Number Theory
    • Further Sequences and Series
  • 4B - Further Statistics 2:
    • Probability Distributions
    • Combinations of Random Variables
    • Estimation
    • Confidence Intervals and Tests using Normal Distribution
    • Other Hypothesis Tests and Confidence Intervals
    • Probability Generating Functions
    • Quality of Tests and Estimators
  • 4C - Further Mechanics 2:
    • Further Kinematics
    • Further Dynamics
    • Motion in a Circle
    • Statics of Rigid Bodies
    • Elastic Collisions in two Dimensions
  • 4D - Decision Mathematics 2:
    • Transportation Problems
    • Allocation (assignment) Problems
    • Flows in Networks
    • Dynamic Programming
    • Game Theory
    • Recurrence Relations
    • Decision Analysis

Assessment Overview

  • Paper 1: Further Pure Mathematics 1 (1 hour 30 minute written examination, 25% of the qualification, 75 Marks)
  • Paper 2: Further Pure Mathematics 2 (1 hour 30 minute written examination, 25% of the qualification, 75 Marks)
  • Paper 3: Further Mathematics Option 1 (1 hour 30 minute written examination, 25% of the qualification, 75 Marks)
  • Paper 4: Further Mathematics Option 2 (1 hour 30 minute written examination, 25% of the qualification, 75 Marks)