Explore the patterns of a reciprocal function with an engaging video lesson that compares graphs of reciprocal functions to different polynomial functions. After describing the key features, the instructor explains the patterns that...

Here's help in making the giant leap from finding real to finding complex roots. Careful and thorough in explanation, the theory of polynomial algebra is briefly touched upon before the examples really dive into the application...

What do shapes sound like? Scholars learn about the frequencies of pure tones created by vibrations of shapes. The video first considers the case of string, then moves on to two dimensions. It touches upon Fourier series and a question...

Continuing with the lesson on compound interest, in this video, Sal derives the general formula for any amount of principle, interest rate, and compounding periods over one year.

Extending his asymptotes lesson from the previous video, Sal shows viewers another example of graphing rational functions. This video is shorter than the previous one and could be shown in a single class session.

While often used interchangeably, the distinction between accuracy and precision is critical for many scientific endeavors. Discover the importance of consistency for precise results, and the need for accuracy in the field...

Continuing with the study of graphing hyperbolas, Sal shows an example of graphing a parabola that is centered at a point off the origin. By looking at the equation, first without shifting it, he helps listeners develop an intuitive...

In this video on the Binomial Theorem, Sal tries to give an intuition behind why combinations are part of its definition. By looking at the expansion of (a + b)3 and carefully looking at where each value originates from, one can see how...

Sal continues to look at changing the length of compounding time, from daily to hourly compounding interest. Now he is able to show that compounding 100% annual interest converges on the number 2.71É or e as the number of compounding...

Here is an example in this video of graphing a hyperbola centered at the origin. First, Sal shows solving for the equations of the asymptotes and then shows how to determine the direction of the hyperbola. He takes the approach of not...

Continuing from the last clip on liquidation, scholars explore another bankruptcy avenue: restructuring. Sal briefly touches on covenants with debt holders and goes into reasons a company would refrain from liquidating when facing...

The last of four videos, this clip explains why there were such low default rates at the beginning of the 21st century, and the effect this had on the market. Sal breaks down the options for a homeowner who can no longer pay a mortgage...