This video looks at Optimizing box volume analytically.
This video looks at Optimizing box volume graphically.
This video looks at Optimizing profit at a shoe factory.
This video looks at determining the proper orientation of a boundary given the orientation of the normal vector.
This video looks at determining the proper orientation of the boundary given the orientation of the surface.
This 8-minute video lesson provides understanding for how to parametrize a reverse path for the same curve.
This video looks at Parameterizing the surface.
This video provides Part 2 of shell method with 2 functions of y.
This video covers doing some hairy algebra and arithmetic to evaluate the definite integral from the last video.
This 11-minute video lesson provides an introduction to partial derivatives.
This 10-minute video lesson provides more explanation of partial derivatives.
This 10-minute video lesson looks at Partial Derivatives of Vector-Valued Functions.
This 17-minute video lesson shows that if a vector field is the gradient of a scalar field, then its line integral is path independent.
This 10-minute video lesson shows how to use a polynomial to approximate a function at f(0).
This 10-minute video lesson looks at how to approximate a function with a polynomial by making the derivatives equal at f(0) (Maclauren Series).
This 10-minute video lesson show how to approximate cos x with a Maclaurin series.
In this 10-minute video lesson (part 6 of the Polynomial approximation of functions series) a pattern emerges!
This 10-minute video lesson examines the most amazing conclusion in mathematics!
This 9-minute video lesson looks at the MacLaurin representation of sin x.
This 8-minute video lecture demonstrates how to use a position vector valued function to describe a curve or path. [Calculus playlist: Lesson 133 of 156]