Category Archives: Engineering Mathematics MCQ

This set of Complex Analysis Questions and Answers for Campus interviews focuses on “Logarithm of Complex Numbers”. 1. Find the value of log⁡(-6). a) log6+2iπ b) log⁡36+iπ c) log6+2iπ d) log6+iπ 2. Find the value of log2(-3). a) b) c) d) 3. Represent ii in terms of e. a) b) c) d) Sanfoundry Global Education … Read more

This set of Complex Analysis Multiple Choice Questions & Answers (MCQs) focuses on “Expansion of Trigonometric Functions”. 1. The Taylor series for f(x)=7×2-6x+1 at x=2 is given by a+b(x-2)+c(x-2)2. Find the value of a+b+c. a) -1 b) 0 c) 17 d) 46 2. Find the Taylor Series for the function about x=-4. a) b) c) … Read more

This set of Complex Analysis Multiple Choice Questions & Answers (MCQs) focuses on “DeMoivre’s Theorem”. 1. Find the value of (1+i)100. a) 2100 (cos⁡100π+isin100π) b) 2100 (cos⁡25π+isin25π) c) 250 (cos⁡100π+isin100π) d) 250 (cos⁡25π+isin25π) 2. Find the value of (1-i)100. a) 2100 (cos⁡100π-isin100π) b) 2100 (cos⁡25π-isin25π) c) 250 (cos⁡25π-isin25π) d) 250 (cos⁡100π-isin100π) 3. If , find … Read more

This set of Fourier Analysis Interview Questions and Answers focuses on “Linear Difference Equations and Z – Transforms”. 1. Find the Z-Transform of . a) (1-z-1)n b) (1+z-1)n c) (1-z-1)-n d) (1+z-1)-n 2. Find the function whose Z – Transform is . a) δ(n) b) δ(n+1) c) U(n) d) U(n+1) 3. Find the function whose … Read more

This set of Fourier Analysis Multiple Choice Questions & Answers (MCQs) focuses on “Fourier Transform and Convolution”. 1. In Fourier transform is said to be Kernel function. a) True b) False 2. Fourier Transform of . Then what is the fourier transform of ? a) b) c) d) 3. What is the fourier sine transform … Read more

This set of Fourier Analysis and Partial Differential Equations Multiple Choice Questions & Answers (MCQs) focuses on “Derivation and Solution of Two-dimensional Wave Equation”. 1. Who discovered the one-dimensional wave equation? a) Jean d’Alembert b) Joseph Fourier c) Robert Boyle d) Isaac Newton 2. Wave equation is a third-order linear partial differential equation. a) True … Read more

This set of Fourier Analysis and Partial Differential Equations Multiple Choice Questions & Answers (MCQs) focuses on “Derivation and Solution of Two-dimensional Heat Equation”. 1. Who was the first person to develop the heat equation? a) Joseph Fourier b) Galileo Galilei c) Daniel Gabriel Fahrenheit d) Robert Boyle 2. Which of the following is not … Read more

This set of Partial Differential Equations Questions and Answers for Freshers focuses on “Solution of PDE by Variable Separation Method”. 1. Solve using the method of separation of variables if u(x,0) = 10 e-x. a) 10 e-x e-t/3 b) 10 ex e-t/3 c) 10 ex/3 e-t d) 10 e-x/3 e-t 2. Find the solution of … Read more

This set of Partial Differential Equations Multiple Choice Questions & Answers (MCQs) focuses on “Derivation of One-dimensional Wave Equation”. 1. Consider one dimensional wave equation utt = 4 uxx; 0 ≤ x ≤ π, t ≥ 0 satisfying the boundary conditions u (0,t) = 0 and u(π,t) = 0 and initial conditions u(x,0) = 2sin(3x) … Read more

This set of Fourier Analysis Interview Questions and Answers for Experienced people focuses on “Solution of 1D Heat Equation”. 1. The partial differential equation of 1-Dimensional heat equation is ___________ a) ut = c2uxx b) ut = puxx c) utt = c2uxx d) ut = – c2uxx 2. When using the variable separable method to … Read more