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Math Fortress
Calculus III: Three Dimensional Coordinate Systems (Level 8 of 10)
This video continues the exploration of a three dimensional cartesian coordinate system.This video covers three intermediate examples that requires the use of the equation of a sphere. Two examples illustrate how to find the center and...
Math Fortress
Calculus III: The Dot Product (Level 1 of 12)
This video goes over the dot product also known as the scalar product. This video covers the geometric interpretation of the dot product by going over 5 distinct cases where the angle between the vectors varies.
Math Fortress
Calculus III: Two Dimensional Vectors (Level 5 of 13)
This video is a review of Two Dimensional Vectors. This video goes over 12 examples covering vector addition, vector subtraction and scalar multiplication. These problems are solved by using the geometric interpretation of these...
Math Fortress
Calculus III: The Cross Product (Level 1 of 9)
This video introduces the third way of multiplying vectors called the cross product also known as the vector product and sometimes refereed to as the area product. This video will cover the geometric definition of the cross product.
Math Fortress
Calculus III: The Cross Product (Level 2 of 9)
This video introduces the third way of multiplying vectors called the cross product also known as the vector product and sometimes refereed to as the area product. This video will cover the component definition of the cross product. A...
Math Fortress
Calculus III: The Dot Product (Level 8 of 12)
This video goes over the dot product also known as the scalar product. This video covers an application of the dot product specifically, the scalar projection, vector projection, and orthogonal projection.
Math Fortress
Calculus III: Three Dimensional Coordinate Systems (Level 10 of 10)
This video concludes the exploration of a three dimensional Cartesian coordinate system. This video covers 2 examples illustrating the appropriate way of graphing equations in three dimensional space that are restricted to a given...
Math Fortress
Calculus III: Three Dimensional Coordinate Systems (Level 1 of 10)
This video is a review of number lines and coordinate systems. This video goes over the basic concepts and terminology of one dimensional, and two dimensional coordinate systems. This video concludes with an introduction to three...
Math Fortress
Calculus III: Three Dimensional Coordinate Systems (Level 9 of 10)
This video continues the exploration of a three dimensional cartesian coordinate system. This video covers two challenging examples that requires the use of the equation of a sphere. The first example involves finding the equation of a...
Math Fortress
Calculus III: The Cross Product (Level 8 of 9)
This video goes over a second application of the cross product and covers the basic concepts of torque which is also known as moment.
Math Fortress
Calculus III: Three Dimensional Coordinate Systems (Level 2 of 10)
This video continues the exploration of a three dimensional Cartesian coordinate system. Basic equations of a two dimensional coordinate system are presented to illustrate the similarities to a three dimensional coordinate system. In...
Math Fortress
Calculus III: Three Dimensional Coordinate Systems (Level 3 of 10)
This video continues the exploration of a three dimensional Cartesian coordinate system. This video goes over 5 examples covering the proper way to graph equations in R cubed. Equations covered include planes, cylinder, and parabolic...
Professor Dave Explains
Double and Triple Integrals
An introduction to multivariable calculus in the way of double and triple integrals.
Math Fortress
Calculus III: Three Dimensional Coordinate Systems (Level 4 of 10)
This video continues the exploration of a three dimensional cartesian coordinate system. This video goes over common formulas used in a three dimensional coordinate system, this video covers the midpoint formula and a derivation of the...