## Practice Questions

**Why Practice questions?**

The purpose of **free practice questions** is two-fold The students preparing for competitive exams like** NET Physical Science, GATE, IIT-JAM, JEST, and TIFR** in self-study mode must get authentic and focused Questions.

The students who want to join us in our different courses may get a complete idea of the content that will be taught to them during their course.

**How can students use it?**

Students must download the objective question objective & subjective question set in pdf form and save the pdf according to topic, chapter, and sub-topic respectively. It is advisable for the students to download one chapter at a time, complete that and then go for the next chapter.

Those students doing self-study should consult the appropriate textbook as well as they can take help from our video lectures.

Students should solve the examples on their own after understanding the concepts given in the theory. They may use the solutions only as a last option.

## 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 Bernoulliโs Form, Exact Differential Equation, Coupled Differential Equation, Second Order Differential Equation, Non-Homogeneous Linear ODEs of Second Order (RHSโ 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