Practice Questions

Objective Practice Set 1 Fourier Series

In this section we are providing pdf for objective and subjective questions for Fourier Series which includes different type of questions of, Introduction of Fourier Series, Full Series, Half-Range Expansions, Bessel's Inequality and Parseval's Identity, Complex Fourier Series

Objective Practice Set Matrices

In this section we are providing pdf for objective and subjective questions for Matrices which includes different type of questions on Matrices, Operations of Matrices, Name of matrices and their properties, in this section we give special emphasis on unitary matrix, Hermitian matrix, Symmetric and Anti-symmetric matrix, Elementary Row Transformation, Linear Dependence and Independence, The Rank of the Matrix, The Inverse of a Matrix, Eigenvalues and Eigenvectors, Pauli Spin Matrices, Similarity Transformation, Diagonalization, Functional Matrices, Spectral Decomposition Law

Objective Practice Set Differential Equation

In this section we are providing pdf for objective and subjective questions for Differential Equations which includes different type of questions on, Ordinary Differential Equations (ODEs), First Order First Degree, Homogeneous and Reducible, Linear differential Equation, Reducible Linear Bernoulli’s Form, Exact Differential Equation, Coupled Differential Equation, Second Order Differential Equation, Non-Homogeneous Linear ODEs of Second Order (RHS≠0), Linear Dependence and Independence of Solutions

Objective Practice Set Laplace Transform

In this section we are providing pdf for objective and subjective questions for Laplace Transform which includes different type of questions on Definition of Laplace Transform, Inverse Laplace Transform, Properties of Laplace Transformation, Laplace transform of integral, Second Shifting Theorem