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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

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