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Additional Mathematics is a qualification in mathematics, commonly taken by students in high-school (or GCSE exam takers in the United Kingdom). It features a range of problems set out in a different format and wider content to the standard Mathematics at the same level.
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.
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Further Mathematics, as studied within the International Baccalaureate Diploma Programme, was a Higher Level (HL) course that could be taken in conjunction with Mathematics HL or on its own. It consisted of studying all four of the options in Mathematics HL, plus two additional topics. Topics studied in Further Mathematics included: [9]
Kirchhoff's diffraction formula; Klein–Gordon equation; Korteweg–de Vries equation; Landau–Lifshitz–Gilbert equation; Lane–Emden equation; Langevin equation; Levy–Mises equations; Lindblad equation; Lorentz equation; Maxwell's equations; Maxwell's relations; Newton's laws of motion; Navier–Stokes equations; Reynolds-averaged ...
[3] [4] In June 2011 Edexcel announced that the AEA was being extended further for mathematics, until June 2015, which was later extended until 2018. [ 5 ] In 2018, Edexcel introduced a new specification, meaning the Advanced Extension Award in mathematics would continue to be available to students in 2019 and beyond, as a qualification aimed ...
The attainment level of the qualification is roughly equivalent to 6th year at school, or one year of university in Scotland, and a Certificate of Higher Education but being less extensive than that of a Higher National Diploma (HND). Studied full-time, the qualification normally takes one year or two years part-time. [2]
This formula can be very useful in determining the residues for low-order poles. For higher-order poles, the calculations can become unmanageable, and series expansion is usually easier. For essential singularities, no such simple formula exists, and residues must usually be taken directly from series expansions.