Calculus: Quiz


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More interesting facts on Calculus

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Question 1:
Which of the following titles did Calculus have?
Member of Parliament for Linlithgowshire
Down In the Mission

Question 2: The ancient period introduced some of the ideas of ________ calculus, but does not seem to have developed these ideas in a rigorous or systematic way.
DerivativeContinuous functionDifferential calculusIntegral

Question 3: In the 19th century, calculus was put on a much more rigorous footing by mathematicians such as ________, Riemann, and Weierstrass (see (ε, δ)-definition of limit).
Siméon Denis PoissonJoseph Louis LagrangeLeonhard EulerAugustin-Louis Cauchy

Question 4: In the modern period, independent discoveries relating to calculus were being made in early 17th century Japan, by mathematicians such as ________, who expanded upon the method of exhaustion.
Étienne BézoutIsaac NewtonGottfried LeibnizSeki Kōwa

Question 5: This realization, made by both Newton and Leibniz, who based their results on earlier work by ________, was key to the massive proliferation of analytic results after their work became known.
Sir George Stokes, 1st BaronetIsaac BarrowCharles BabbageGeorge Biddell Airy

Question 6: His contribution was to provide a clear set of rules for manipulating infinitesimal quantities, allowing the computation of second and higher derivatives, and providing the product rule and ________, in their differential and integral forms.
CalculusLaplace operatorChain ruleGradient

Question 7: The ________ states that differentiation and integration are inverse operations.
DerivativeFundamental theorem of calculusIntegralStokes' theorem

Question 8: The formal study of calculus combined Cavalieri's infinitesimals with the ________ developed in Europe at around the same time.
DerivativeFinite differenceBinomial coefficientPartial differential equation

Question 9: Any integer multiple of an infinitesimal is still infinitely small, i.e., infinitesimals do not satisfy the ________.
Real numberArchimedean propertyAlgebraic structureField (mathematics)

Question 10: The ________ philosopher Zeno gave several famous examples of such paradoxes.
Ancient GreekAeolic GreekDoric GreekAttic Greek

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