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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.
Learn about the origins and development of calculus, a mathematical discipline focused on limits, continuity, derivatives, integrals, and infinite series. Find out how calculus was invented by Isaac Newton and Gottfried Wilhelm Leibniz in the 17th century, and how it was influenced by ancient, medieval, and modern mathematicians.
Calculus is the mathematical study of continuous change, with two branches: differential and integral calculus. Learn about its origins, concepts, theorems, methods, and uses in science, engineering, and social science.
A comprehensive list of calculus topics, from limits and derivatives to multivariable and vector calculus. Includes definitions, formulas, theorems, methods, history and applications of calculus.
Learn about the history, content, standards, and issues of mathematics education in the U.S. from primary to tertiary level. Compare the mathematics curriculum across states and with other countries.
Math 55 is a two-semester undergraduate mathematics course at Harvard University that covers advanced topics in algebra, analysis, and topology. It is considered one of the most difficult and prestigious courses in the country, with a high attrition rate and a rigorous homework and exam system.
Learn about the formula for differentiation under the integral sign, named after Gottfried Wilhelm Leibniz, and its applications in calculus and physics. See the general form, proofs, examples and extensions to higher dimensions and measure theory.
An integral is a mathematical concept that computes areas, volumes and their generalizations. Learn about the notation, interpretations, properties, methods and extensions of integrals, as well as their history from ancient Greece to modern calculus.
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