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.
Let's jump out of that boring (okay, it wasn't THAT boring) 2-D world into the exciting 3-D world that we all live and breath in. Instead of functions of x that can be visualized as lines, we can have functions of x and y that can be visualized as surfaces. But does the idea of a derivative still make sense? Of course it does! As long as you specify what direction you're going in. Welcome to the world 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]
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]
Calculus is about to seem strangely straight forward. You've spent some time using the definition of a derivative to find the slope at a point. In this tutorial, we'll derive and apply the derivative for any term in a polynomial. By the end of this tutorial, you'll have the power to take the derivative of any polynomial like it's second nature!
This 10-minute video lesson looks at how to determine the derivatives of simple polynomials.
This 9-minute video lecuture looks at the product rule. It provides examples using the Product and Chain rules.