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Contributions of Indian Mathematicians to Calculus in the Field of Machine Learning

Description: This quiz aims to assess your knowledge about the contributions of Indian mathematicians to calculus in the field of machine learning. The questions cover various aspects of this topic, including the historical context, key concepts, and applications.
Number of Questions: 15
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Tags: indian mathematics calculus machine learning
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Who is considered the father of calculus?

  1. Isaac Newton

  2. Gottfried Wilhelm Leibniz

  3. Srinivasa Ramanujan

  4. Aryabhata


Correct Option: A
Explanation:

Isaac Newton is widely regarded as the father of calculus, along with Gottfried Wilhelm Leibniz.

Which Indian mathematician made significant contributions to calculus in the 12th century?

  1. Aryabhata

  2. Bhaskara II

  3. Brahmagupta

  4. Madhava of Sangamagrama


Correct Option: B
Explanation:

Bhaskara II, also known as Bhaskaracharya, made significant contributions to calculus in the 12th century.

What is the name of the series expansion method developed by Madhava of Sangamagrama?

  1. Taylor series

  2. Fourier series

  3. Maclaurin series

  4. Gregory series


Correct Option: A
Explanation:

Madhava of Sangamagrama developed the Taylor series expansion method, which is also known as the Taylor-Maclaurin series.

Which Indian mathematician is known for his work on infinite series and calculus in the 16th century?

  1. Aryabhata

  2. Bhaskara II

  3. Brahmagupta

  4. Nilakantha Somayaji


Correct Option: D
Explanation:

Nilakantha Somayaji made significant contributions to infinite series and calculus in the 16th century.

What is the name of the method used by Indian mathematicians to approximate the value of pi?

  1. Monte Carlo method

  2. Newton-Raphson method

  3. Euler's method

  4. Gregory-Leibniz series


Correct Option: D
Explanation:

Indian mathematicians used the Gregory-Leibniz series to approximate the value of pi.

Which Indian mathematician is known for his work on differential calculus in the 18th century?

  1. Aryabhata

  2. Bhaskara II

  3. Brahmagupta

  4. Gangesha Upadhyaya


Correct Option: D
Explanation:

Gangesha Upadhyaya made significant contributions to differential calculus in the 18th century.

What is the name of the theorem developed by Srinivasa Ramanujan that relates to the Riemann zeta function?

  1. Ramanujan-Hardy theorem

  2. Ramanujan-Littlewood theorem

  3. Ramanujan-Selberg theorem

  4. Ramanujan-Rademacher theorem


Correct Option: A
Explanation:

Srinivasa Ramanujan developed the Ramanujan-Hardy theorem, which relates to the Riemann zeta function.

Which Indian mathematician is known for his work on fractional calculus in the 20th century?

  1. Aryabhata

  2. Bhaskara II

  3. Brahmagupta

  4. S.L. Kalla


Correct Option: D
Explanation:

S.L. Kalla made significant contributions to fractional calculus in the 20th century.

What is the name of the method developed by Indian mathematicians to solve differential equations?

  1. Runge-Kutta method

  2. Euler's method

  3. Taylor series method

  4. Picard-Lindelöf theorem


Correct Option: D
Explanation:

Indian mathematicians developed the Picard-Lindelöf theorem to solve differential equations.

Which Indian mathematician is known for his work on calculus of variations in the 19th century?

  1. Aryabhata

  2. Bhaskara II

  3. Brahmagupta

  4. J.C. Bose


Correct Option: D
Explanation:

J.C. Bose made significant contributions to calculus of variations in the 19th century.

What is the name of the method developed by Indian mathematicians to find the area under a curve?

  1. Trapezoidal rule

  2. Simpson's rule

  3. Monte Carlo method

  4. Gregory-Leibniz series


Correct Option: A
Explanation:

Indian mathematicians developed the trapezoidal rule to find the area under a curve.

Which Indian mathematician is known for his work on numerical analysis in the 20th century?

  1. Aryabhata

  2. Bhaskara II

  3. Brahmagupta

  4. P.L. Bhatnagar


Correct Option: D
Explanation:

P.L. Bhatnagar made significant contributions to numerical analysis in the 20th century.

What is the name of the method developed by Indian mathematicians to solve partial differential equations?

  1. Method of characteristics

  2. Separation of variables

  3. Finite difference method

  4. Finite element method


Correct Option: A
Explanation:

Indian mathematicians developed the method of characteristics to solve partial differential equations.

Which Indian mathematician is known for his work on integral calculus in the 19th century?

  1. Aryabhata

  2. Bhaskara II

  3. Brahmagupta

  4. S.N. Bose


Correct Option: D
Explanation:

S.N. Bose made significant contributions to integral calculus in the 19th century.

What is the name of the method developed by Indian mathematicians to find the volume of a solid of revolution?

  1. Disk method

  2. Shell method

  3. Cavalieri's principle

  4. Guldin's theorem


Correct Option: A
Explanation:

Indian mathematicians developed the disk method to find the volume of a solid of revolution.

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