Category Archives: Engineering Mathematics MCQ

This set of Partial Differential Equations Questions and Answers for Entrance exams focuses on “Method of Separation of Variables”. 1. By using the method of separation of variables, the determination of solution to P.D.E. reduces to determination of solution to O.D.E. a) True b) False 2. Separation of variables, in mathematics, is also known as … Read more

This set of Fourier Analysis and Partial Differential Equations Multiple Choice Questions & Answers (MCQs) focuses on “Solution of Second Order P.D.E.”. 1. What is the general form of second order non-linear partial differential equations (x and y being independent variables and z being a dependent variable)? a) b) c) d) F(x,y)=0 2. The solution … Read more

This set of Partial Differential Equations Questions and Answers for Experienced people focuses on “Non-Homogeneous Linear PDE with Constant Coefficient”. 1. Non-homogeneous which may contain terms which only depend on the independent variable. a) True b) False 2. Which of the following is a non-homogeneous equation? a) b) c) d) 3. What is the general … Read more

This set of Partial Differential Equations Assessment Questions and Answers focuses on “Homogeneous Linear PDE with Constant Coefficient”. 1. Homogeneous Equations are those in which the dependent variable (and its derivatives) appear in terms with degree exactly one. a) True b) False 2. Which of the following is false regarding quasilinear equations? a) All the … Read more

This set of Fourier Analysis and Partial Differential Equations Multiple Choice Questions & Answers (MCQs) focuses on “First Order Non-Linear PDE”. 1. Which of the following is an example of non-linear differential equation? a) y=mx+c b) x+x’=0 c) x+x2=0 d) x”+2x=0 2. Which of the following is not a standard method for finding the solutions … Read more

This set of Fourier Analysis and Partial Differential Equations Multiple Choice Questions & Answers (MCQs) focuses on “First Order Linear PDE”. 1. First order partial differential equations arise in the calculus of variations. a) True b) False 2. The symbol used for partial derivatives, ∂, was first used in mathematics by Marquis de Condorcet. a) … Read more

This set of Partial Differential Equations Multiple Choice Questions & Answers (MCQs) focuses on “First Order PDE”. 1. Find where . a) 3by b) 2ax c) 3(ax+by) d) 2(ax+by) 2. Find where . a) 2xsin⁡x2 b) x sin2x c) 2xsin⁡x2 cos⁡y2 d) 6xsin⁡x2 cos⁡y2 3. Find where . a) b) c) d) 4. If , … Read more

This set of Fourier Analysis Multiple Choice Questions & Answers (MCQs) focuses on “Fourier Half Range Series”. 1. In half range Fourier series expansion, we know the nature of the function in its full time period. a) True b) False 2. In half range cosine Fourier series, we assume the function to be _________ a) … Read more

This set of Fourier Analysis Multiple Choice Questions & Answers (MCQs) focuses on “Fourier Series Expansions”. 1. Which of the following is not Dirichlet’s condition for the Fourier series expansion? a) f(x) is periodic, single valued, finite b) f(x) has finite number of discontinuities in only one period c) f(x) has finite number of maxima … Read more

This set of Vector Integral Calculus Multiple Choice Questions & Answers (MCQs) focuses on “Stokes and Gauss Divergence Theorem”. 1. Which of the following is obtained by evaluating ∬S dS, where S is a closed surface and V is the Volume using Gauss Divergence Theorem? a) 3V b) 2V c) V d) 5V 2. Which … Read more