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The branch of mathematics deals with the properties and relationships of numbers, especially positive integers. Number theory is a branch of pure mathematics devoted primarily to the study of the integers and integer-valued functions. German mathematician Carl Friedrich Gauss said, "Mathematics is the queen of the sciences—and number theory ...
The UCT Mathematics Competition is an annual mathematics competition for schools in the Western Cape province of South Africa, held at the University of Cape Town. Around 7000 participants from Grade 8 to Grade 12 take part, writing a multiple-choice paper. Individual and pair entries are accepted, but all write the same paper for their grade.
The Cape Academy was also ranked second in Physical Science and fourth in Mathematics in South Africa, [6] despite having only registered its first matrics in 2006. The rankings were based on the percentage of learners in each school who attained a grade of 50% or more in the NSC examinations, in the subjects of mathematics and physical science.
Pure mathematics is the study of mathematical concepts independently of any application outside mathematics. These concepts may originate in real-world concerns, and the results obtained may later turn out to be useful for practical applications, but pure mathematicians are not primarily motivated by such applications.
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.
Mathematics majors study additional other areas within pure mathematics—and often in applied mathematics—with the requirement of specified advanced courses in analysis and modern algebra. Other topics in pure mathematics include differential geometry , set theory , and topology .
There were two examination papers: one which tested topics in Pure Mathematics, and one which tested topics in Mechanics and Statistics. It was discontinued in 2014 and replaced with GCSE Further Mathematics—a new qualification whose level exceeds both those offered by GCSE Mathematics, and the analogous qualifications offered in England. [4]
Cape Peninsula University of Technology (Afrikaans: Kaapse Skiereiland Universiteit van Tegnologie) is a university in Cape Town, South Africa. It is the only university of technology in the Western Cape province, and is also the largest university in the province, with over 32,000 students. It was formed by merging the Cape Technikon and ...