Capture the hearts of your young statisticians with this real-life example of using statistics in online dating. The use of average and geometric mean are discussed in the context of creating the algorithm used to connect people.

The example problem is this video has a sequence of numbers that decrease by a fixed amount with each iteration, and one needs to find the 100th number in the sequence. Sal shows the listener how to find the pattern between the number...

Sal uses the formula for perimeter to show how the variables can be moved around to solve a problem. He demonstrates a few different ways to do this.

An example of writing an algebraic equation of the pattern of blocks that grows at each iteration is shown in this video. Sal shows how to find the pattern by looking at the iteration number and number of blocks. He then continues this...

Using a specific example, Sal shows how to find the equation of a tangent line to a given function at a specific point. Specifically, he solves the problem of finding the tangent line to the function f(x) = xex at x = 1. This problem...

We look at a number of different examples of functions and see what their domain is. Sal writes the domain in set notion and shows how different functions can have different input values that cause the function to be undefined.

After defining a simple function from a word problem, a short video shows how one could find the domain and the range of that function. The instruction reinforces the definitions of domain and range with a concrete example.

Are odd numbers connected to odd functions and even numbers to even functions? This video tries to clarify that connection. It also talks about functions that are neither odd nor even to give a more intuitive feeling about classifying...

In this video, Sal starts with the equation of a hyperbola by first comparing it to the equation of the circle, and ellipse. He then shows how to find the equation of the asymptotes by solving for y. He also shows a few intuitive ways to...

The equation of a circle is explored in this video by looking first at the equation of a circle with the center at the origin; then building upon that, equations of circles that are shifted off the origin.

This is the last of three well-done videos on identifying and graphing conic sections from an equation. Here, Sal shows graphing a circle, not centered at the origin, and a parabola that opens downward.

In this video, a complex number is defined and graphed on the complex plane. Sal also shows how to add, subtract, and multiply two complex numbers. He starts showing how to divide two complex numbers, but runs out of time and continues...

This video covers the differential notation dy/dx and generalizes the rule for finding the derivative of any polynomial. It also extends the notion of the derivatives covered in the Khan Academy videos, "Calculus Derivatives 2Ó and...

Sal continues where he left off with the last video, "Derivatives 1,Ó by looking at the equation y = x^2 and examining the slope of the secant line at a specific point, and again defining the limit as x approaches zero to get the slope...

By defining the formal definition of a derivative, f(x), Sal is able to find the general form of the derivate function for the example f(x) = x2. He continues to stress the importance of an intuitive understanding of derivative functions.

Sal continues where he left off with the last video, "Derivatives 1,Ó by looking at the equation y = x2 and examining the slope of the secant line at a specific point. He continues with defining the limit as x approaches zero to get the...

Sal defines the term derivative by taking the listener on a well-organized tour of slope. First, he reviews the concept of slope of a line from algebra, then extends this idea to look at the slope of the curve by first examining a secant...

Sal defines the term derivative by taking the listener on a well-organized tour of slope. First, he reviews the concept of slope of a line from algebra, then extends this idea to look at the slope of the curve by first examining a secant...

Sal starts with an example of finding dy/dx of y = x2 and builds to showing the solution to the more complicated implicit differentiation problem of finding the derivative of y in terms of x of y = x ^ x ^ x .

Sal shows two ways to quickly calculate the coefficients of a binomial expansion. With the first method, he shows the relationship between PascalÕs triangle and the coefficients, and in the second method, he shows an even faster way for...

In this video, the Binomial Theorem is defined and used to expand (a + b) 4.

A simple rate problem is looked at in this video. The listener needs to compute whether four trains each going different distances over different amounts of time are moving at the same constant rate. This problem reinforces ones basic...

Finding the area of each of the triangles that are created by drawing two diagonal lines through a rectangle is explored in this lecture. It provides a detailed explanation of how to use a formula to solve the given problem. Tip: Use...

Guavas are on sale in this video. Here two examples are shown to calculate a discounted rate.