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First derivative test; Second derivative test; Extreme value theorem; Differential equation; Differential operator; Newton's method; Taylor's theorem; L'Hôpital's rule; General Leibniz rule; Mean value theorem; Logarithmic derivative; Differential (calculus) Related rates; Regiomontanus' angle maximization problem; Rolle's theorem
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.
Baruch M. Schieber (Hebrew: ברוך שיבר; born: December 1958) is a Professor of the Department of Computer Science at the New Jersey Institute of Technology (NJIT) [1] and Director of the Institute for Future Technologies. [2]
The New Jersey Institute of Technology has a history dating back to the 19th century. Originally introduced from Essex County, New Jersey, on March 24, 1880, and revised with input from the Newark Board of Trade in 1881, an act of the New Jersey State Legislature drew up a contest to determine which municipality would become home to the state's urgently needed technical school.
It is fundamentally the study of the relationship of variables that depend on each other. Calculus was expanded in the 18th century by Euler with the introduction of the concept of a function and many other results. [40] Presently, "calculus" refers mainly to the elementary part of this theory, and "analysis" is commonly used for advanced parts ...
The AP Program includes specifications for two calculus courses and the exam for each course. The two courses and the two corresponding exams are designated as Calculus AB and Calculus BC. Calculus AB can be offered as an AP course by any school that can organize a curriculum for students with advanced mathematical ability. [1]
[2] [3] [4] Keisler's student K. Sullivan, [5] as part of her PhD thesis, performed a controlled experiment involving 5 schools, which found Elementary Calculus to have advantages over the standard method of teaching calculus. [1] [6] Despite the benefits described by Sullivan, the vast majority of mathematicians have not adopted infinitesimal ...
The Calculus&Mathematica support team at the University of Illinois begin offering computerized calculus courses utilizing Mathematica over the internet to High School students in rural Illinois. John S. Quarterman published a 700+ page book, "The Matrix: Computer Networks and Conferencing Systems Worldwide" (Digital Press, 1989). This book ...