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Further Mathematics both broadens and deepens the material covered in A level Mathematics. The content includes real-life applications in the growing world of artificial intelligence and logistics.
Options for studying Further Mathematics
Further Mathematics can be chosen as a full A level as part of a normal three A level programme. In addition, if you wish to study a three A level programme including Mathematics but not Further Mathematics, Further Mathematics could be considered for study as an AS level in the first year, through the School of Maths programme. On the AS level, you will study a selection of the topics from all the modules listed below.
Entry requirements
To study at RSFC, you must have achieved a minimum of five GCSEs or equivalent at grade 4 or above across four separate subjects, including GCSE mathematics and/or English language. In addition, a grade 7 or above is required in GCSE Mathematics. You MUST also study A level Mathematics.
Why study this course?
An A level in Further Mathematics shows an excellent logical mind, reasoning ability and competence in all things numerate. This subject MUST be taken in combination with A level Mathematics. If you loved Mathematics at high school, enjoy working hard and like to solve puzzles with exact methods and answers, then Mathematics and Further Mathematics offer the opportunity to continue improving your numerical skills and learn a great deal beyond your GCSE course.
What can you expect from A level Further Mathematics?
As well as building on topics you are studying in A level Mathematics, there are more branches to explore such as complex numbers, polar coordinates, hyperbolic functions and many more fascinating topics. As well as the additional pure topics, there are new areas of mechanics and decision mathematics. These include collisions, Dijkstra’s algorithm and linear programming.
KEY TOPICS - YEAR 1
Core pure mathematics including:
• Complex numbers
• Matrices
• Proof by induction
• Summations
• Vectors
Decision mathematics including:
• Floyd’s algorithm
• Graph theory
• Dijkstra’s algorithm
• Linear programming
KEY TOPICS - YEAR 2
Core pure mathematics including:
• Hyperbolic function
• Polar coordinates
• Further calculus
• Second order differential equations
Mechanics including:
• Work, energy and power
• Strings and springs
• Collisions
• Restitution
What can I do with a qualification in Further Mathematics?
A level Further Mathematics supports many career pathways - especially those linked to numerical analysis such as careers in mathematics, physics, engineering, data analysis and computer programming to name but a few. It is highly regarded by employers and universities; it shows a fantastic level of mathematical ability, problem-solving skills and logical thought processes. All these lead to you developing your analytical skills, required for most careers.
How is this course assessed?
Further Mathematics is assessed through four examinations at the end of your second year. Two of the exams are in core pure mathematics, one in mechanics and one in decision mathematics, each worth 75 marks and one quarter of your final grade.
Who is this course for?
If you enjoy learning about mathematical concepts and new methods of problemsolving, you are doing well in Mathematics at high school and are enjoying the challenge of ensuring you get the best grades, then this is the subject for you.
