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Advanced Level (A-Level) Mathematics is a qualification of further education taken in the United Kingdom (and occasionally other countries as well). In the UK, A-Level exams are traditionally taken by 17-18 year-olds after a two-year course at a sixth form or college.
The General Certificate of Secondary Education (GCSE) is an academic qualification in a range of subjects taken in England, Wales, and Northern Ireland, having been introduced in September 1986 and its first exams taken in 1988.
Starting from 2012, Edexcel and AQA have started a new course which is an IGCSE in Further Maths. Edexcel and AQA both offer completely different courses, with Edexcel including the calculation of solids formed through integration, [ 5 ] and AQA not including integration.
According to the British Department for Education, in the academic year 2014/15, approximately 7.3%, 2.7%, 1.0%, and 0.3% of all the candidates from the GCSE cohort (548,480) achieved one to four A*s or a better result in the GCE A-level examination. This percentile rank is one important input for equating the levels in both examinations.
Some areas of mathematics, such as statistics and game theory, are developed in close correlation with their applications and are often grouped under applied mathematics. Other areas are developed independently from any application (and are therefore called pure mathematics) but often later find practical applications. [2] [3]
Mathematical induction can be informally illustrated by reference to the sequential effect of falling dominoes. [1] [2]Mathematical induction is a method for proving that a statement () is true for every natural number, that is, that the infinitely many cases (), (), (), (), … all hold.
The Chief Executive of AQA runs the organisation on a day-to-day basis, while being accountable to the AQA Council. The role was known as the Director General from its introduction in April 1998 until July 2010. [21] Kathleen Tattersall OBE, 1 April 1998 – 30 September 2003 [22] [23] Mike Cresswell CBE, 1 October 2003 – 31 March 2010 [24] [25]
Analysis is the branch of mathematics dealing with continuous functions, limits, and related theories, such as differentiation, integration, measure, infinite sequences, series, and analytic functions. [1] [2] These theories are usually studied in the context of real and complex numbers and functions.