Multi-Variate Calculus

Overview

  1. Vector Geometery
    1. ...
  2. Differential Calculus
    2. Notes on Implicit Differentiation
  3. Integral Calculus
    1. ...
  4. Vector Calculus
    1. Introduction to Scalar and Vector Fields (real world examples)
    2. Electric Potential vs Electric Potential Energy
    3. Divergence and Curl
    4. How to Interpret Flux
    5. How to Interpret Curl
    6. How to Interpret Divergence
    7. ...

Where is Multivariable Calculus Used (everywhere)

  1. Medicine
    1. Creating a simulation of the human heart
  2. Machine Learning
    1. Gradient Descent
  • Graphing Tools
    1. 3D-Graphing Software
    2. 3D-Graphing Software (better of implicit definitions)
    3. 2D-Graphing Software
    4. ...

    Graphinig Tools

    Visualize the Tangent Line to a Curve

    Graphing Functions of 2 Variables

    Partial Derivative Calculator

    Directional Derivative Visualizer

    Line Integrals Over Vector Fields