https://tutorial.math.lamar.edu/Classes/CalcIII/Area_Volume.aspx
Calculus III - Area and Volume Revisited
In this section we summarize the various area and volume formulas from this chapter.
calculus iiiareavolumerevisited
https://tutorial.math.lamar.edu/Classes/CalcIII/GreensTheorem.aspx
Calculus III - Green's Theorem
In this section we will discuss Green’s Theorem as well as an interesting application of Green’s Theorem that we can use to find the area of a two dimensional...
calculus iiigreentheorem
https://tutorial.math.lamar.edu/Classes/CalcIII/CurlDivergence.aspx
Calculus III - Curl and Divergence
In this section we will introduce the concepts of the curl and the divergence of a vector field. We will also give two vector forms of Green’s Theorem and show...
calculus iiicurldivergence
https://tutorial.math.lamar.edu/Classes/CalcIII/ChainRule.aspx
Calculus III - Chain Rule
In the section we extend the idea of the chain rule to functions of several variables. In particular, we will see that there are multiple variants to the chain...
calculus iiichain rule
https://tutorial.math.lamar.edu/ProblemsNS/CalcIII/CalcIII.aspx
Calculus III (Assignment Problems)
Here is a set of assignment problems (for use by instructors) to accompany the notes for Paul Dawkins Calculus III course at Lamar University.
calculus iiiassignment problems
https://tutorial.math.lamar.edu/Classes/CalcIII/LagrangeMultipliers.aspx
Calculus III - Lagrange Multipliers
In this section we’ll see discuss how to use the method of Lagrange Multipliers to find the absolute minimums and maximums of functions of two or three...
calculus iiilagrangemultipliers
https://tutorial.math.lamar.edu/Classes/CalcIII/TISphericalCoords.aspx
Calculus III - Triple Integrals in Spherical Coordinates
In this section we will look at converting integrals (including dV) in Cartesian coordinates into Spherical coordinates. We will also be converting the...
calculus iiitriplesphericalcoordinates
https://tutorial.math.lamar.edu/Classes/CalcIII/SurfaceIntegralsIntro.aspx
Calculus III - Surface Integrals
In this chapter we look at yet another kind on integral : Surface Integrals. With Surface Integrals we will be integrating functions of two or more variables...
calculus iiisurface
https://lumenlearning.com/courses/calculus-iii/
Calculus III | Lumen Learning
calculus iiilumen learning
https://tutorial.math.lamar.edu/Classes/CalcIII/SphericalCoords.aspx
Calculus III - Spherical Coordinates
In this section we will define the spherical coordinate system, yet another alternate coordinate system for the three dimensional coordinate system. This...
calculus iiisphericalcoordinates
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https://tutorial.math.lamar.edu/Classes/CalcIII/Differentials.aspx
Calculus III - Differentials
In this section we extend the idea of differentials we first saw in Calculus I to functions of several variables.
calculus iiidifferentials
https://tutorial.math.lamar.edu/Classes/CalcIII/VectorArcLength.aspx
Calculus III - Arc Length with Vector Functions
In this section we will extend the arc length formula we used early in the material to include finding the arc length of a vector function. As we will see the...
calculus iiiarc lengthvectorfunctions
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https://tutorial.math.lamar.edu/Classes/CalcIII/LineIntegralsPtII.aspx
Calculus III - Line Integrals - Part II
In this section we will continue looking at line integrals and define the second kind of line integral we’ll be looking at : line integrals with respect to x,...
calculus iiilinepart