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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 ...
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.
MOOCulus Logo. Ximera course was initially released on Coursera in the Spring Semester of 2012–13 under the name Calculus One. [6] MOOCulus, an online platform that lets you practice Calculus was developed at the Ohio State University to provide students a place to practice Calculus problems.
Differential And Integral Calculus, by Nikolai Piskunov [43] A Course of Mathematical Analysis, by Aleksandr Khinchin [44] Mathematical Analysis: A Special Course, by Georgiy Shilov [45] Theory of Functions of a Real Variable (2 volumes), by Isidor Natanson [46] [47] Problems in Mathematical Analysis, by Boris Demidovich [48]
The calculus of variations may be said to begin with Newton's minimal resistance problem in 1687, followed by the brachistochrone curve problem raised by Johann Bernoulli (1696). [2] It immediately occupied the attention of Jacob Bernoulli and the Marquis de l'Hôpital , but Leonhard Euler first elaborated the subject, beginning in 1733.
The satisfiability problem, also called the feasibility problem, is just the problem of finding any feasible solution at all without regard to objective value. This can be regarded as the special case of mathematical optimization where the objective value is the same for every solution, and thus any solution is optimal.
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