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what does this qualification cover?

A Level Further Mathematics is a course that develops advanced mathematical concepts and skills. The course is split across the three main area of advanced mathematics: Pure, Mechanics and Statistics. 

Core Pure Mathematics 

•Matrices
•Linear transformations
•Series
•Complex numbers
•Roots of polynomials
•Proof
•Volume of revolution
•Vectors
•Further calculus & differential equations
•Polar coordinates
•Hyperbolic trigonometry

Further Mechanics

•Momentum
•Work, energy & power
•Elastic strings & springs
•Elastic collisions

Decision maths 

•Algorithms
•Graph Theory & graph algorithms
•Route inspection & travelling salesperson
•Linear Programming & simplex algorithm
•Critical path analysis

What's included

Core Pure

Core Pure is a required component studied by all further mathematicians and consists of half the course. You will learn about whole new areas of maths such as complex numbers (used in higher Physics), matrices (used in Computing), proof by induction and hyperbolic trigonometry as well as further developing topic areas from regular pure maths such as calculus and solving differential equations (a key skill in many higher education courses).

Further Mechanics

Within Further Mechanics you will extend your knowledge of mechanics from regular A level. The course introduces the principles behind momentum & impulse, work, energy & power, elastic energy and elastic collisions. These topics make Further Mechanics a great complement to A level Physics and engineering which will develop your ability to model real life scenarios and solve associated problems.

Decision

Decision is an opportunity to broaden your horizons with a whole new field of maths with strong links to logistics and computer science. You will develop knowledge of several key algorithms with real world applications such as travelling salesperson and shortest path algorithms which are used in industry as well as studied in computing.

 

Key features

By studying A-Level further mathematics you will develop a variety of skills such as:

•Problem solving
•Analytical skills
•Research skills
•Logic.

You’ll hone your ability to solve both mathematical and scientific problems, preparing yourself for post 16 study or entry into the workplace. You will develop the tools needed to tackle a variety of problems.

Links to workplace

A-Level  further mathematics is essential to a variety of routes of study post 16, with many top university courses having it as a requirement, these include, but are not limited to:

•Mathematics
•Aeronautical engineering
•Chemical engineering
•Economics
•Mechanical engineering
•Physics
•Statistics
•Computer science