Lesson 9: History of Calculus Quiz

Who is credited with the discovery of calculus independently?

• Euclid

• Archimedes

• Isaac Newton

• Gottfried Wilhelm Leibniz

What is the name of the work by Isaac Newton that developed the mathematical foundation of the theory of gravitation?

• De Geometria

• Acta Eruditorum

• De Methodis Fluxionum

• Principia Mathematica

What was the title of the first published paper on calculus by Gottfried Wilhelm Leibniz?

• De Principio Individui

• Acta Eruditorum

• De Geometria

• Nova Methodus

What did Leibniz introduce in 'De geometria' in 1686?

• Summation notation

• Limit concept

• Integral sign

• Derivative sign

What did Newton discover in 1665 while resting under a tree?

• The spectrum of white light

• The inverse square law of gravitation

• The Fundamental Theorem of Calculus

• The method of exhaustion

What was the profession of Gottfried Wilhelm Leibniz?

• Mathematician

• Librarian

• All of the above

• Philosopher

What did Leibniz prefer over infinite series in calculus?

• Theory of elliptic functions

• None of the above

• Factorization of polynomials

• Closed-form expressions

What did Leibniz view dy / dx as?

• A derivative of x

• A limit concept

• A sum of terms

• A quotient of infinitesimals

What was the title of the work by Leibniz that introduced the integral sign ∫?

• Acta Eruditorum

• De Methodis Fluxionum

• De Geometria

• Nova Methodus

What did Newton develop using term-by-term integration and differentiation?

• Power series representation of classical functions

• The concept of limit

• The theory of elliptic functions

• The Fundamental Theorem of Algebra