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Calculus is the mathematical study of continuous change, in the same way that geometry is the study of shape, and algebra is the study of generalizations of arithmetic operations. Originally called infinitesimal calculus or "the calculus of infinitesimals", it has two major branches, differential calculus and integral calculus.
SWAYAM has accumulated 203 partnering institutes, 2,748 completed courses, 12,541,992 student enrollments, 915,538 exam registrations, and 654,664 successful certificates. [ 7 ] SWAYAM (meaning 'Self' in Sanskrit ) [ 8 ] is an acronym that stands for "Study Webs of Active-Learning for Young Aspiring Minds" [ 9 ]
The work under consideration is the first part and deals with the history of the numeral notation and of arithmetic. The second part, we are told, is devoted to algebra and the third part contains the history of geometry, trigonometry, calculus and various other topics such as magic squares, theory of series and permutations and combinations ...
Calculus: Preliminary concept of differentiation; Discovered the differential coefficient. Stated early form of Rolle's theorem, a special case of the mean value theorem (one of the most important theorems of calculus and analysis). Derived the differential of the sine function although didn't deceive the notion of derivative.
The Indian National Mathematical Olympiad (INMO) is a highly selective high school mathematics competition held annually in India.It is conducted by the Homi Bhabha Centre for Science Education (HBCSE) under the aegis of the National Board for Higher Mathematics (NBHM).
Calculus is a branch of mathematics focused on limits, functions, derivatives, integrals, and infinite series. This subject constitutes a major part of contemporary mathematics education . Calculus has widespread applications in science , economics , and engineering and can solve many problems for which algebra alone is insufficient.
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In non-standard calculus the limit of a function is defined by: = if and only if for all , is infinitesimal whenever x − a is infinitesimal. Here R ∗ {\displaystyle \mathbb {R} ^{*}} are the hyperreal numbers and f* is the natural extension of f to the non-standard real numbers.