Calculus Study: Differential and Integral Calculus

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20 Questions

What are the two major branches of calculus?

Differential calculus and integral calculus

Who independently developed infinitesimal calculus in the late 17th century?

Gottfried Wilhelm Leibniz and Isaac Newton

What fundamental notions are used by the two branches of calculus to relate to each other?

Fundamental theorem of calculus

What does the word 'calculus' mean in Latin?

Small pebble

In mathematics education, what does calculus denote?

Courses of elementary mathematical analysis

Who developed modern calculus independently of each other?

Isaac Newton and Gottfried Wilhelm Leibniz

Which ancient mathematician developed the method of exhaustion to prove formulas for cone and pyramid volumes?

Eudoxus of Cnidus

In which ancient culture was the method of exhaustion discovered independently to find the area of a circle?

China

Who derived a formula for the sum of fourth powers in the Middle East?

Hasan Ibn al-Haytham

Which ancient mathematician combined the method of exhaustion with a concept of the indivisibles?

Archimedes

Which mathematician developed the concept of limits, putting the development of infinitesimal calculus on a more solid conceptual footing?

Archimedes

What did Leibniz originally call the mathematical study of continuous change?

Integral calculus

Which ancient culture discovered the method of exhaustion independently to find the area of a circle?

Egyptian

Who combined the method of exhaustion with a concept of the indivisibles in ancient mathematics?

Euclid

What ancient mathematician developed the method of exhaustion to prove formulas for cone and pyramid volumes?

Eudoxus

Who is credited with developing modern calculus independently of each other?

Gottfried Wilhelm Leibniz

In which ancient culture was the method of exhaustion discovered independently to find the area of a circle?

China

Which ancient mathematician combined the method of exhaustion with a concept of the indivisibles, a precursor to infinitesimals?

Archimedes

Who derived a formula for the sum of fourth powers in the Middle East?

Alhazen

Which ancient Greek mathematician developed the method of exhaustion to prove the formulas for cone and pyramid volumes?

Eudoxus of Cnidus

Test your knowledge of calculus, the mathematical study of continuous change, which has two major branches: differential calculus and integral calculus. This quiz covers topics such as instantaneous rates of change, slopes of curves, accumulation of quantities, and areas under or between curves.

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