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Ximera is a massive open online course by Ohio State University on Coursera and YouTube. [1] The system was originally known as MOOCulus and Calculus One. [2] The course features over 25 hours of video and exercises. The instructor is Jim Fowler, an associate professor of mathematics at the Ohio State University. [3]
Digital life and technology, Education and training, Health, Environment and sustainable development, Physics and Chemistry, IT and programming, Political science and international relations, Law, Economy and management, Life Sciences Free access to courses, free and paid certification [1] French, English, Spanish, Arabic, Chinese Non-profit 2013
The Khan Academy website also hosts content from educational YouTube channels and organizations such as Crash Course and the Museum of Modern Art. [30] It also provides online courses for preparing for standardized tests, including the SAT, AP Chemistry, Praxis Core and MCAT [31] and released LSAT preparation lessons in 2018. [32]
Fundamental theorem of calculus; Integration by parts; Inverse chain rule method; Integration by substitution. Tangent half-angle substitution; Differentiation under the integral sign; Trigonometric substitution; Partial fractions in integration. Quadratic integral; Proof that 22/7 exceeds π; Trapezium rule; Integral of the secant function ...
By September 2004, 900 MIT courses were available online. In 2005, MIT OpenCourseWare and other open educational resources projects formed the OpenCourseWare Consortium, which seeks to extend the reach and impact of open course materials, foster new open course materials and develop sustainable models for open course material publication.
In mathematics education, calculus is an abbreviation of both infinitesimal calculus and integral calculus, which denotes courses of elementary mathematical analysis. In Latin, the word calculus means “small pebble”, (the diminutive of calx, meaning "stone"), a meaning which still persists in medicine.
Calculus Made Easy ignores the use of limits with its epsilon-delta definition, replacing it with a method of approximating (to arbitrary precision) directly to the correct answer in the infinitesimal spirit of Leibniz, now formally justified in modern nonstandard analysis and smooth infinitesimal analysis.
Precalculus prepares students for calculus somewhat differently from the way that pre-algebra prepares students for algebra. While pre-algebra often has extensive coverage of basic algebraic concepts, precalculus courses might see only small amounts of calculus concepts, if at all, and often involves covering algebraic topics that might not have been given attention in earlier algebra courses.
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