Multivariable Calculus

Video Lectures

Displaying all 28 video lectures.
Lecture 1
General Green's Theorem
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General Green's Theorem
An example of the generalization of Green's Theorem.
Lecture 2
Scalar Line Integrals (Part I)
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Scalar Line Integrals (Part I)
The first video of finding a scalar line integral.
Lecture 3
Scalar Line Integrals (Part II)
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Scalar Line Integrals (Part II)
This is the second video on how to find a scalar line integral. This video addresses line integrals over multiple paths.
Lecture 4
Find a Potential Function
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Find a Potential Function
This video describes and provides an example of how to find a potential function.
Lecture 5
Conservative Vector Field Test
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Conservative Vector Field Test
This video describes and gives an example of how to determine if a vector field is conservative.
Lecture 6
Volume Between Two Surfaces
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Volume Between Two Surfaces
The most fun and most general triple integral in the rectangular world. this video explains how to calculate the volume between surfaces in 3rd space.
Lecture 7
Two More Ways to Set Up a Tripple Integral
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Two More Ways to Set Up a Tripple Integral
This video entertains the idea of integration in different orders over a surface.
Lecture 8
Tripple Integral Over a Rectangular Solids
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Tripple Integral Over a Rectangular Solids
This is how you set up a triple integral over a rectangular solid.
Lecture 9
Sketch the Solid of Integration
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Sketch the Solid of Integration
In this video, learn how to take an integral and sketch the region of integration.
Lecture 10
Set Up a Tripple Integral More General Region
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Set Up a Tripple Integral More General Region
Here we set up a triple integral integrating a function over a surface.
Lecture 11
Limits of Multivariate Functions
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Limits of Multivariate Functions
Limits of multivariate functions: How do you find a limit? Does path matter?
Lecture 12
Intersection of a Plane and a Surface
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Intersection of a Plane and a Surface
How do we find the intersection of a surface and a plane? This is a discussion of such a process. Here we intersect a cylinder and the z-y plane. There are infinite points of intersection in this video we find the first few.
Lecture 13
Graphing a Vector Valued Function
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Graphing a Vector Valued Function
Graphing special vector valued functions.
Lecture 14
Contour Maps
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Contour Maps
This is a discusion of contour maps as they project level curve in the plan.
Lecture 15
Planar Form of Curvature
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Planar Form of Curvature
Derive the equation of curvature for the planer form of an equation.
Lecture 16
Integration of Vector Valued Functions
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Integration of Vector Valued Functions
Lecture 17
Curvature Example
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Curvature Example
A discussion on the different forms of curvature.
Lecture 18
Arc Length Parameterization
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Arc Length Parameterization
Lecture 19
Refresher On Conics
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Refresher On Conics
Conic sections as they pertain to quadric surfaces.
Lecture 20
Parabloid
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Parabloid
Discussion of paraboloid and there graphs.
Lecture 21
Graphing and Determining the Form of a Surface
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Graphing and Determining the Form of a Surface
Lecture 22
Equation in Spherical
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Equation in Spherical
Lecture 23
Cone
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Cone
Discussion of cones in 3 dimensions.
Lecture 24
Rectangular Point to Spherical Coordinates (Part I)
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Rectangular Point to Spherical Coordinates (Part I)
Conversion of rectangular points to spherical coordinates.
Lecture 25
Rectangular Point to Spherical Coordinates (Part II)
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Rectangular Point to Spherical Coordinates (Part II)
Conversion of rectangular points to spherical coordinates.
Lecture 26
Hyperboloid
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Hyperboloid
Explanation of a hyperboloid in 3 dimensions.
Lecture 27
Quadratic Surfaces
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Quadratic Surfaces
Homework help with quadratic surfaces.
Lecture 28
Rectangular Graph in Spherical Coordinates
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Rectangular Graph in Spherical Coordinates