]> Tools

Tools

 

  Precalculus

   Operations on Functions

   Trigonometric Functions

   Slope of a Line

 

  Single Variable Calculus

   Derivative and Tangent Line

   Constant, Linear, Quadratic and Cubic Approximations

   Newton's Method

   Numerical Integration

   Lagrange Multipliers with Two Variables

 

  Vectors and Algebra

   Rotating Coordinates

   Operations on Vectors

   Determinant and Vector Products

   Multiplication of a Vector by a Matrix

   Linear Transformations in Three Dimensions

 

  Application to 3D Linear Geometry

   Lines in Space

   Planes in Space

 

  Curves

   Polar Plotter

   Curves in Two Dimensions

   Curves in Three Dimensions

 

  Fields and Surfaces

   Directional Derivatives

   Contour Lines, Gradients and Directional Derivatives

   Curves and Surfaces

   Functions of Two Variables

   Newton's Method with Two Equations and Two Variables

 

  Complex Numbers and Functions

   Complex Numbers

   Complex Functions

 

  Integration on Curves

   Curves and Vector Fields

   Line Integrals

 

  Integration on Surfaces

   Flux Integrals

   Integration Bounds

 

  Differential Equations

   First Order ODE

   Second Order ODE

   System of First Order ODE

 

  Applications

   Static Electric Fields in Two Dimensions

   Static Electric Fields in Three Dimensions

   Stationary Magnetic Fields in Two Dimensions

   Series RLC Circuit