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Contributions of Indian Mathematicians to Differential Calculus

Description: This quiz is designed to assess your knowledge of the contributions made by Indian mathematicians to the field of differential calculus.
Number of Questions: 15
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Tags: indian mathematics calculus differential calculus indian mathematicians
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Who is considered the father of Indian mathematics?

  1. Aryabhata

  2. Bhaskara II

  3. Brahmagupta

  4. Madhava of Sangamagrama


Correct Option: A
Explanation:

Aryabhata is widely regarded as the father of Indian mathematics due to his significant contributions to the field, including the development of the decimal system and the concept of zero.

Which Indian mathematician is credited with discovering the fundamental theorem of calculus?

  1. Aryabhata

  2. Bhaskara II

  3. Brahmagupta

  4. Madhava of Sangamagrama


Correct Option: D
Explanation:

Madhava of Sangamagrama is credited with discovering the fundamental theorem of calculus, which establishes a connection between differentiation and integration.

What is the name of the series developed by Madhava of Sangamagrama that approximates the value of π?

  1. Taylor series

  2. Maclaurin series

  3. Gregory series

  4. Madhava series


Correct Option: D
Explanation:

Madhava of Sangamagrama developed the Madhava series, also known as the Gregory series, which provides an approximation for the value of π.

Which Indian mathematician developed a method for finding the area of a circle using integration?

  1. Aryabhata

  2. Bhaskara II

  3. Brahmagupta

  4. Madhava of Sangamagrama


Correct Option: B
Explanation:

Bhaskara II developed a method for finding the area of a circle using integration, which involves dividing the circle into small sectors and approximating the area of each sector as a triangle.

Who is known for their work on the concept of infinitesimals and the development of calculus techniques?

  1. Aryabhata

  2. Bhaskara II

  3. Brahmagupta

  4. Madhava of Sangamagrama


Correct Option: D
Explanation:

Madhava of Sangamagrama is renowned for his work on infinitesimals and the development of calculus techniques, including the use of infinite series to approximate functions.

Which Indian mathematician is credited with developing a method for solving differential equations?

  1. Aryabhata

  2. Bhaskara II

  3. Brahmagupta

  4. Madhava of Sangamagrama


Correct Option: B
Explanation:

Bhaskara II developed a method for solving differential equations, which involved using a series of approximations to find the solution.

Who is known for their work on the concept of fluxions and the development of calculus techniques?

  1. Aryabhata

  2. Bhaskara II

  3. Brahmagupta

  4. Isaac Newton


Correct Option: D
Explanation:

Isaac Newton is credited with developing the concept of fluxions and the fundamental theorems of calculus, which laid the foundation for modern calculus.

Which Indian mathematician developed a method for finding the volume of a sphere using integration?

  1. Aryabhata

  2. Bhaskara II

  3. Brahmagupta

  4. Madhava of Sangamagrama


Correct Option: B
Explanation:

Bhaskara II developed a method for finding the volume of a sphere using integration, which involves dividing the sphere into small pyramids and approximating the volume of each pyramid as a cone.

Who is known for their work on the concept of derivatives and the development of calculus techniques?

  1. Aryabhata

  2. Bhaskara II

  3. Brahmagupta

  4. Gottfried Wilhelm Leibniz


Correct Option: D
Explanation:

Gottfried Wilhelm Leibniz is credited with developing the concept of derivatives and the fundamental theorems of calculus, which laid the foundation for modern calculus.

Which Indian mathematician developed a method for finding the area of an ellipse using integration?

  1. Aryabhata

  2. Bhaskara II

  3. Brahmagupta

  4. Madhava of Sangamagrama


Correct Option: D
Explanation:

Madhava of Sangamagrama developed a method for finding the area of an ellipse using integration, which involves dividing the ellipse into small sectors and approximating the area of each sector as a triangle.

Who is known for their work on the concept of integrals and the development of calculus techniques?

  1. Aryabhata

  2. Bhaskara II

  3. Brahmagupta

  4. Isaac Newton


Correct Option: D
Explanation:

Isaac Newton is credited with developing the concept of integrals and the fundamental theorems of calculus, which laid the foundation for modern calculus.

Which Indian mathematician developed a method for finding the volume of a pyramid using integration?

  1. Aryabhata

  2. Bhaskara II

  3. Brahmagupta

  4. Madhava of Sangamagrama


Correct Option: B
Explanation:

Bhaskara II developed a method for finding the volume of a pyramid using integration, which involves dividing the pyramid into small prisms and approximating the volume of each prism as a cylinder.

Who is known for their work on the concept of limits and the development of calculus techniques?

  1. Aryabhata

  2. Bhaskara II

  3. Brahmagupta

  4. Gottfried Wilhelm Leibniz


Correct Option: D
Explanation:

Gottfried Wilhelm Leibniz is credited with developing the concept of limits and the fundamental theorems of calculus, which laid the foundation for modern calculus.

Which Indian mathematician developed a method for finding the area of a parabola using integration?

  1. Aryabhata

  2. Bhaskara II

  3. Brahmagupta

  4. Madhava of Sangamagrama


Correct Option: D
Explanation:

Madhava of Sangamagrama developed a method for finding the area of a parabola using integration, which involves dividing the parabola into small sectors and approximating the area of each sector as a triangle.

Who is known for their work on the concept of continuity and the development of calculus techniques?

  1. Aryabhata

  2. Bhaskara II

  3. Brahmagupta

  4. Isaac Newton


Correct Option: D
Explanation:

Isaac Newton is credited with developing the concept of continuity and the fundamental theorems of calculus, which laid the foundation for modern calculus.

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