{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Chapter -1 Elementary Vector Analysis"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Representation of Vector and Scalar Field"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "In this topic we will learn to represent a vector in 1D, 2D and 3D "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "##  Vector Algebra"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "In this topic we will learn some algebric vector operation, such as addition, subtraction, multiplication, etc. "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Differentiation and Integration of Vector"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "In this topic we will learn to differentiate and integrate the vector as well as scalar function."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Gradient, Divergence and Curl of Vector and Scalar Functions"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "In this topic we study to calculate gradient of scalar function, divergence of vector function and curl of the vector function and visualize for familior function. "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Gradient, Divergence and Curl of Vector and Scalar Functions in Spherical Polar Coordinate System "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "In this topic we express gradient, divergence and curl in spherical polar coordinate."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Line Integration, Surface Integration and Volume Integration of Scalar and Vector Function"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "It includes the line, surface and volume integration of some familior scalar and vector functions with their physical interpretation. "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Gauss Divergence Theorem and Its Physical Interpretation "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "It includs the relation between the surface and volume integration of vector fuction and interpret the result using famiior vector functions."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Stoke's Theorem and its Physical Interpretation "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "It includes the relationship between the line and volume integral of vector function with their physical interpretation."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.6"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}