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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. Advanced Level Further Mathematics is often taken by students who wish to ...
For examinations up to and including the 2018 papers, the specification for STEP 1 and STEP 2 was based on Mathematics A Level content while the syllabus for STEP 3 was based on Further Mathematics A Level. The questions on STEP 2 and 3 were about the same difficulty. Both STEP 2 and STEP 3 are harder than STEP 1. [6]
A qualification in Further Mathematics involves studying both pure and applied modules. Whilst the pure modules (formerly known as Pure 4–6 or Core 4–6, now known as Further Pure 1–3, where 4 exists for the AQA board) build on knowledge from the core mathematics modules, the applied modules may start from first principles.
Cambridge International A-Levels are exam-based qualifications, which are created, corrected, administered and regulated by Cambridge (i.e. a sub-organization and a department of the University of Cambridge). [4] Cambridge International A-Levels are the international variant of the British qualification of the same title.
The Singapore-Cambridge General Certificate of Education Advanced Level (or Singapore-Cambridge GCE A-Level) is a GCE Advanced Level examination held annually in Singapore and is jointly conducted by the Ministry of Education (MOE), Singapore Examinations and Assessment Board (SEAB) and the University of Cambridge Local Examinations Syndicate (UCLES).
The A-level (Advanced Level) is a subject-based qualification conferred as part of the General Certificate of Education, as well as a school leaving qualification offered by the educational bodies in the United Kingdom and the educational authorities of British Crown dependencies to students completing secondary or pre-university education. [1]
A method similar to Vieta's formula can be found in the work of the 12th century Arabic mathematician Sharaf al-Din al-Tusi. It is plausible that the algebraic advancements made by Arabic mathematicians such as al-Khayyam, al-Tusi, and al-Kashi influenced 16th-century algebraists, with Vieta being the most prominent among them.
Euler's identity is a direct result of Euler's formula, published in his monumental 1748 work of mathematical analysis, Introductio in analysin infinitorum, [16] but it is questionable whether the particular concept of linking five fundamental constants in a compact form can be attributed to Euler himself, as he may never have expressed it.