Learn the concept of the Counting Principle and make algorithms to count complex things in a simpler way with the help of a beautiful problem of Combinatorics. Concept – Counting Principle. Often we come across such problems that involves very complex counting...

Try this problem from IIT JAM 2017 exam (Problem 5) based on Partial Differentiation. It deals with calculating the partial derivative of a multi-variable function. Partial Differentiation | IIT JAM 2017 | Problem 5 Let $f: \mathbb{R} \rightarrow \mathbb{R}$ be a...

Try this problem from IIT JAM 2017 exam (Problem 10).This problem needs the concept of Rolle’s Theorem. Rolle’s Theorem | IIT JAM 2017 | Problem 10 $$f(x)=\left\{\begin{array}{ll}1+x & \text { if } x<0 \\ (1-x)(p x+q) & \text { if } x \geq...

Try this problem from IIT JAM 2017 exam (Problem 48) and know how to determine radius of convergence of a power series. Radius of Convergence of a Power Series | IIT JAM 2016 | Problem 48 Find the radius of convergence of the power series $$ \sum_{n=1}^{\infty}...

Try this problem from IIT JAM 2017 exam (Problem 58) and know how to evaluate Eigen value of a Matrix. Eigen value of a Matrix | IIT JAM 2017 | Problem 58 Let $\alpha, \beta, \gamma, \delta$ be the eigenvalues of the matrix $$ \begin{bmatrix} 0 & 0 & 0 & 0...