Vector operations: Sum, scalar multiple, dot product
Unit vectors: Direction of a vector
Lecture notes 1.1, 1.2
Parametric equation of line in 3D
Parametric equation of line in 3D
Lecture notes 1.8.0.2
Parallel and perpendicular components
Lecture notes 1.5-1.6
Lecture notes 1.3, 1.4
Lecture notes 1.7
Point of Intersection of a Plane and a Line
Point of Intersection of a Plane and a Line
Line through a point and perpendicular to a plane
Plane given with point and parallel plane
Plane given with point and orthogonal line
Distance between point and plane
Distance between parallel planes
Distance between line and point
Lecture notes 1.8, 1.9
Mathematica is available in many NAU computer labs and on NAU's virtual desktop
You can always call NAU ITS help line 928-523-9294 or Ask-STC@nau.edu and ask how you can have access to Mathematica.
surfaces in 3D Calc Plotter, web page: CalcPlot3D
Cartesian Coordinates to Spherical
Spherical Coordinates to Cartesian
Cartesian Coordinates to Cylindrical
Cylindrical Coordinates to Cartesian
Cylindrical Equations to Rectangular
Rectangular Equations to Cylindrical
Spherical Equations to Rectangular
Rectangular Equation to a Spherical
Spherical Equation to a Rectangular
Domain of a Vector Valued Function
space curves in 3D Calc Plotter
Curve of intersection of two surfaces
Curve of intersection of two surfaces
Vector Valued Function from a Rectangular Equation
Lecture notes 2.1
Derivative of vector-valued functions
Integration with Initial Conditions
Velocity, speed, direction, and acceleration
Velocity and Position from Acceleration
Function value from contour plot
Increasing or decreasing from contour plot
Graph Two Variable Function with 3D Calc Plotter
Contour plot with 3D Calc Plotter
Limits of Functions of Two Variables
Partial derivative from contour plot
Lecture notes 3.1
Lecture notes 3.2
Lecture notes 3.3
Chain rule (a bit long, can't find anything better)
Lecture notes 3.4
Directional Derivatives and the Gradient
Directional Derivative in 3D calc plotter
Lecture notes 3.5, 3.6
Critical points, second derivative test
Global extrema, rectangular domain
Global extrema, circular domain
Minimum distance of point from plane
Distance between point and cone
Lagrange Multipliers two variables one constraint
Lagrange Multipliers three variables one constraint
Lagrange Multipliers three variables two constraints
Approximate volume from table of values
Approximate double integral from contour plot
Double integral on rectangular region
Average value over rectangular region
Different order of integration
Lecture notes 4.1.1 - 4.1.2
Double integral on a parallelogram
Lecture notes 4.1.3
Lecture notes 4.1.4 - 4.1.6
Lecture notes 4.2
Lecture notes 4.3 - 4.3.2
Divergence and curl (definitely watch this)
Lecture notes 4.3.3 - 4.3.4
Lecture notes 4.4 - 4.4.2
Fundamental Theorem of Line Integrals
Closed curve line integrals of conservative vector fields
Fundamental theorem of line integrals
Lecture notes 4.7
Area of a Parameterized Surface
Surface Integral triangular region
Lecture notes 4.4
Surface Integral of Vector Field
Surface Integral of Vector Field 2
Surface Integral Using Polar Coordinates
Lecture notes 4.5
Green's Theorem to find Area Enclosed by Curve
Lecture notes 4.3.5 up to Example 4.3.7
Flux of a 2D Vector Field Using Green's Theorem
Flux of a 2D Vector Field Using Green's Theorem (Parabola)
Flux of a 2D Vector Field Using Green's Theorem (Hole)
Lecture notes Theorem 4.3.8 - Section 4.3.6
Lecture notes Theorem 4.6.3 - Example 4.6.4
Divergence Theorem to Evaluate Flux Integral (Spherical Coordinates)
3D divergence theorem intuition
Flux and the divergence theorem
Divergence Theorem explanation
Lecture notes Theorem 4.6.5 - Example 4.6.6