Subject Matter Expert (Mathematics)

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Subject Matter Expert (Mathematics) Interview Questions and Answers

Updated 1 Mar 2021

Q1. How to find integral of complex function?

Ans.

The integral of a complex function can be found using techniques such as contour integration and Cauchy's integral formula.

  • Contour integration is a powerful technique for evaluating complex integrals.

  • Cauchy's integral formula relates the value of a complex integral to the values of a function on a closed contour.

  • Residue theorem is often used to evaluate complex integrals around simple closed contours.

  • Complex integration requires knowledge of complex analysis and the propertie...read more

Q2. Define Domain and range of a function? Domain and range of f(x)=√x

Ans.

The domain of a function is the set of all possible input values, while the range is the set of all possible output values.

  • The domain of the function f(x) = √x is all non-negative real numbers, since the square root of a negative number is undefined.

  • The range of the function f(x) = √x is all non-negative real numbers, since the square root of a non-negative number is always non-negative.

  • The domain can be represented as [0, +∞) and the range as [0, +∞).

Q3. What is Bernoulli differential equation?

Ans.

Bernoulli differential equation is a type of first-order ordinary differential equation that can be solved using a substitution method.

  • Bernoulli differential equation is of the form dy/dx + P(x)y = Q(x)y^n, where n is a constant.

  • To solve Bernoulli differential equation, a substitution is made to transform it into a linear differential equation.

  • The substitution u = y^(1-n) is commonly used to transform the equation.

  • After substitution, the resulting linear differential equation...read more

Q4. Explain when a series converges?

Ans.

A series converges when the sum of its terms approaches a finite value as the number of terms increases.

  • A series converges if the sequence of partial sums approaches a finite limit.

  • Convergence can be determined by analyzing the behavior of the terms in the series.

  • If the terms of the series decrease in magnitude and approach zero, the series may converge.

  • Convergence can also be determined using convergence tests such as the ratio test or the comparison test.

  • Examples of converg...read more

Are these interview questions helpful?

Q5. What is one-one function?

Ans.

A one-one function is a function in which each element in the domain maps to a unique element in the codomain.

  • Also known as an injective function.

  • No two elements in the domain map to the same element in the codomain.

  • Each element in the codomain has at most one pre-image in the domain.

  • Example: f(x) = x^2 is not a one-one function, but f(x) = x is a one-one function.

Subject Matter Expert (Mathematics) Jobs

Subject Matter Expert (Mathematics) 0-2 years
Wisetime Learning Pvt Ltd
0.0
₹ 3 L/yr - ₹ 4 L/yr
New Delhi
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