Further Mathematics
A Level, Further Maths
A Level Further Mathematics provides an opportunity for enthusiastic and talented mathematicians to take a second A-Level in Mathematics. Students who take this course must have also chosen to study A-Level Mathematics and have a keen interest in studying a broader range of mathematical topics. It is the ideal course for students intending to study mathematics at University as it will extend the topics covered at A-Level Mathematics and introduce new topics.
Students who study further maths must be able to pick up new ideas quickly and link them to other topics. In addition, they should have the capacity to work well independently to develop their skills.
50% of the assessment will be based on students’ understanding of Pure Mathematics and builds upon the topics in A-Level Maths The remaining 50% involves a choice of 2 out of 8 optional units. These units are either Statistics, Mechanics, Decision Maths or more Pure Maths.
Course Outlines
Entry Requirements
Grade 7 or above in GCSE Mathematics and Grade 4 in GCSE English Language.
Assessment
Four external examinations:
Core pure Maths = 50%
Decision or Mechanics or Stats or Further Pure Maths = 50%
Course Units
Compulsory Pure Maths:
Proof
Complex numbers
Matrices
Further algebra and functions
Further calculus
Further vectors
Polar coordinates
Hyperbolic functions
Differential equations
Optional Statistics:
Poisson Distribution
Geometric Distribution
Central Limit Theorem
Chi Squared Test
Continuous Probability Distributions
Spearman’s Rank
Confidence Intervals
Optional Mechanics:
Impulse
Work, Power and Energy
Elastic Collisions
Motion in a Circle
Further Dynamics
Further Kinematics
Optional Decision Maths:
Graph Theory
Algorithms
Critical Path Analysis
Linear Programming
Optional Further Pure Maths:
Further Trigonometry
Further Differential Equations
Coordinate Systems
Groups
Matrix Algebra
Number Theory
Further Sequences and Series
Future Opportunities
Most students who successfully completed this course have gone on to study mathematics at University. It is desirable for many degree course in mathematics and will make you stand out in related courses, such as engineering and physics.
Further Information
If you have a passion for mathematics and are keen to deepen your knowledge and study a wider range of topics then A-Level further maths is for you.
As the content of the course is flexible studying A-Level Further mathematics offers a unique opportunity to adapt the curriculum to include more of the topics which interest you.