## Vector Differentiation full length notes

Full notes on vector Differentiation is now available at the website physicscatalyst.com covering following topics

1. Differentiation of vectors

2. Scalar and vector fields

3. Gradient of a scalar field

Learn free for class 9th, 10th science/maths , 12th and IIT-JEE Physics and maths.

Full notes on vector Differentiation is now available at the website physicscatalyst.com covering following topics

1. Differentiation of vectors

2. Scalar and vector fields

3. Gradient of a scalar field

In this post we’ll discuss about Divergence and curl of vector fields. Here get a short synopsis of what is divergence and curl of a vector field along with their geometrical interpretation.

Here in this post we will revise our concept of Vector Calculas (differentiation of vectors). This mathematical tool would help us in expressing certain basic ideas with a great convenience while studying electrodynamics.

DIFFERENTIATION OF VECTORS

Consider a vector function f(u) such that

Complex numbers are the numbers of the form a+ib where a and b are real numbers.

Definition:- Complex numbers are defined as an ordered pair of real numbers like (x,y) where

z=(x,y)=x+iy

and both x and y are real numbers and x is known as real part of complex number and y is known as imaginary part of the complex number.

In this post we’ll lern Vector algebra in component form.

Component of any vector is the projection of that vector along the three coordinate axis X, Y, Z.

VECTOR ADDITION

In component form addition of two vectors is

You will come across vectors in physics problem very frequently.So it is must to know to solve the vector mathematics in short time.And Making sure you have done in correctly.You will find vectors in every module be it mechanics, electrostatics, magentics

We know that many physical quantities like temperature, electric or gravitational field etc. have different values at different points in space for example electric field of a point charge is large near the charge and it decreases as we go farther away from the charge. So we can say that electric field here is the physical quantity that varies from point to in space and it can be expressed as a continuous function of position of point in that region of space .

This article is about Fourier series formulas and is also available for download

Fourier series is an expansion of a periodic function of period which is representation of a function in a series of sine or cosine such as