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All the courses offered by SWAYAM are recognized by the government of India. All the courses are valid in the country. UGC announced a “Credit Framework for Online Learning Courses through SWAYAM” Regulations where credit transfer was defined. The UGC regulation requires Universities to make changes in their rules to incorporate provisions ...
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.
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.
Elementary Calculus: An Infinitesimal Approach; Nonstandard calculus; Infinitesimal; Archimedes' use of infinitesimals; For further developments: see list of real analysis topics, list of complex analysis topics, list of multivariable calculus topics
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.
Recently, Katz & Katz [8] give a positive account of a calculus course based on Keisler's book. O'Donovan also described his experience teaching calculus using infinitesimals. His initial point of view was positive, [9] but later he found pedagogical difficulties with the approach to nonstandard calculus taken by this text and others. [10]
The h-calculus is the calculus of finite differences, which was studied by George Boole and others, and has proven useful in combinatorics and fluid mechanics. In a sense, q -calculus dates back to Leonhard Euler and Carl Gustav Jacobi , but has only recently begun to find usefulness in quantum mechanics , given its intimate connection with ...
Download as PDF; Printable version; ... (Massive Online Open Course in 2016) Physics of Semiconductors (Massive Online Open Course in 2017) B.Sc. courses in Hindi ...
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