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Calculus is the mathematical study of continuous change, developed by Isaac Newton and Gottfried Wilhelm Leibniz in the 17th century. The article traces the origins and precursors of calculus in ancient Egypt, Greece, China, India, and medieval Europe.
Ximera is a massive open online course on calculus by Ohio State University on Coursera and YouTube. It was originally called MOOCulus and Calculus One, and features over 25 hours of video and exercises by Jim Fowler.
A book on infinitesimal calculus by Silvanus P. Thompson, first published in 1910 and updated by Martin Gardner in 1998. It explains calculus concepts in a simple and intuitive way, using examples and diagrams, and ignoring limits and epsilon-delta definitions.
AP Calculus is a set of two Advanced Placement courses and exams offered by the College Board. AP Calculus AB covers basic topics such as limits, derivatives, and integrals, while AP Calculus BC covers additional topics such as Taylor series, parametric equations, and differential equations.
The fundamental theorem of calculus links differentiation and integration, showing that these two operations are essentially inverses of each other. It has two parts: the first states that an antiderivative of a function is the integral of the function over an interval, and the second states that the integral of a function is the change of its antiderivative over an interval.
It was not until the 1704 publication of an anonymous review of Newton's tract on quadrature, a review implying that Newton had borrowed the idea of the fluxional calculus from Leibniz, that any responsible mathematician doubted that Leibniz had invented the calculus independently of Newton. With respect to the review of Newton's quadrature ...
Learn about the history, standards, and challenges of mathematics education in the U.S. from elementary to tertiary level. Compare the mathematics curriculum and performance of American students with other countries and regions.
A comprehensive overview of the main topics and concepts in calculus, with definitions, formulas, examples, and references. Learn about limits, derivatives, integrals ...
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