]> Tools




   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



   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



   Static Electric Fields in Two Dimensions

   Static Electric Fields in Three Dimensions

   Stationary Magnetic Fields in Two Dimensions

   Series RLC Circuit