{item_alt_tag}

WHY STUDY THIS SUBJECT?

AS Further Mathematics

AS level Further Mathematics is an enjoyable, rewarding course which will support students who wish to study a STEM subject at university. It supports A level Mathematics by extending the concepts taught and offers a taster of Decision Mathematics.

Anyone thinking of studying A level Further Mathematics will be entered into AS Further Mathematics in Year 12. There will then be an opportunity to continue into Year 13 to complete the full A level.

Universities will often drop their grade offers to those students who study Further Mathematics.

A Level Further Mathematics

A level Further Mathematics is an enjoyable, rewarding and stimulating course. It is a challenging qualification which extends and deepens knowledge and understanding beyond the standard A level Mathematics curriculum.

Anyone thinking of studying Mathematics at university should study Further Mathematics.

ENTRY REQUIREMENTS

The Further Mathematics course is targeted at more able Mathematics students who are already studying
Mathematics because of its  challenging content.

You will require a Grade 7 or higher at GCSE Mathematics as the course is considerably harder than Mathematics A level.

SYLLABUS

YEAR 12 Compulsory Content

  • Complex numbers
  • Series
  • Roots of polynomials
  • Volume of revolution
  • Matrices Linear transformations
  • Proof by induction
  • Vectors


Statistics

  • Discrete random variables
  • Poisson distribution
  • Hypothesis testing
  • Chi Squared tests


Discrete

  • Algorithms
  • Graphs and Networks
  • Chinese Postman
  • Linear Programing
  • Critical Path Analysis

YEAR 13 Compulsory Content

  • Complex numbers
  • Series volumes of revolution
  • Further calculus
  • Differential equations
  • Polar coordinates
  • Hyperbolic functions


Statistics

  • Discrete random variables
  • Poisson and Binomial distributions
  • Geometric and negative binomial distributions Hypothesis testing
  • Central limit theorem
  • Chi squared tests
  • Probability generating functions


Discrete

  • Graphs and networks
  • Travelling salesman
  • The simplex algorithm

HOW WILL I BE ASSESSED AND EXAMINED?

Further Mathematics is a modular A level and at AS and A2 is assessed through final examination, testing knowledge and application of the key concepts delivered throughout the course.

There are four exam papers, each 1 hour 30 minutes long (75 marks each):

  • Paper 1: Pure Core Maths 1
  • Paper 2: Pure Core Maths 2
  • Paper 3: Further Statistics 1
  • Paper 4: Decision Maths 1

FUTURE COURSES AND POSSIBLE CAREERS

An AS or A level in Further Mathematics would be highly recommended for students with study or career aspirations in many areas, including many types of engineering (e.g. electrical, mechanical, computer, civil, chemical, etc.), physics, chemistry and other related sciences, computer science, actuary/finance, accountant, pilot/astronaut, medicine/veterinary surgeon, meteorology... the list is endless!

{item_alt_tag}