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Maclaurin series for ln (1 + x).Maclaurin series for any function f(x) is f(x) = f(0) + f^{'}(0) + \frac{x^2}{2!} f^{''}(0)+\frac{x^3}{3!} f^{'''}(0)+.....

Reduction formulas for algebraic functions. Here I show how to derive the Reduction formulas for algebraic functions and how to use these later on.

(Last Updated On: June 17, 2019)Describe graphs in Fourier series. Hello friends, here I show how to describe graphs in Fourier series. Have a look!! If you’re looking for more in the graphs of Fourier series, do check in: How to draw graphs of functions in Fourier series Describe graphs in Fourier series Solved examples of how to...

Complex conjugate numbers. What is the conjugate of a complex number? If z = x + iy is a complex number, the conjugate of z is (x-iy).

How to integrate exact differentials. Here I show how to integrate exact differentials using several examples that you'll find easy to follow.

Multiplication and division of complex numbers. Hello friends, today it’s all about the multiplication and division of complex numbers. Have a look!! Multiplication and division of complex numbers Suppose I have two complex numbers and . Also, the number is and the number is . Now here shows the imaginary part of the number. In one of …

Symmetric skew-symmetric and orthogonal matrices. Here I give five different examples on symmetric skew-symmetric and orthogonal matrices. Have a look!!

Addition and subtraction of complex numbers. Hello friends, today it’s all about the addition and subtraction of complex numbers. Have a look!! Addition and subtraction of complex numbers Suppose I have two complex numbers and . Also, the number is and the number is . Now here shows the imaginary part of the number. So I can …

Gaussian elimination method in 3 × 3 matrices. Today it’s all about the Gaussian elimination method in 3 × 3 matrices. Have a look!! Gaussian elimination method in 3 × 3 matrices Suppose I have a system of equations like How it would be if I want to write it in a matrix form? …

Eigenvalues of a matrix, characteristic equation of any matrix, solution of polynomial equations, unit matrix, evaluation of determinant

Product rule of differentiation. Here I show how to differentiate a product of two functions. For example, if z = x^2 e^x, what is the value of dz/dx?

Cayley Hamilton theorem in matrix analysis. This theorem is named after two noted mathematicians, Arthur Cayley and William Rowan Hamilton.

Inverse of a matrix, what is the Inverse of a matrix or more precisely Inverse of a square matrix is shown here using an example

chain rule of differentiation. What is the chain rule of differentiation and how it works? This is explained in here with a few examples

The Second-order difference equations look like: af(n+2)+b f(n+1) +cf(n) = d, or, af(n+2)+b f(n+1) +cf(n) = g(n). Here I show how to solve them.

General form of second-order homogeneous difference equations is: af(n+2)+b f(n+1) +cf(n) = 0.Here I show how to solve it using some examples.