Khan Academy: 'Shifting' Transform by Multiplying Function by Exponential

Video first gives an intuition of and defines the Dirac delta function. Includes graphing notation of the Dirac delta function and shows how to shift the Dirac delta function. Gives example of relating a real world scenario to...

Video shows an example of multiplying complex numbers. [5:32]

Demonstrates how to multiply two binomials by applying the distributive property. Four different examples are worked out. Practice problems available. [7:58]

Video shows an example of finding the horizontal and vertical asymptotes of a rational function. Also shows finding the behavior of the function as it approaches the asymptotes and uses this information to sketch a graph of the function....

Video shows an example of finding asymptotes of a rational function. Uses the asymptotes and the behavior near the asymptotes to graph the function. Includes an example of a rational function that does not have asymptotes. [8:20]

Video lesson using a Maclaurin series to approximate a sine function by using a polynomial function. Generalizes the expansion of sine using sigma notation and relates it to the expansion for cosine. [9:24]

Video lesson using a Maclaurin series to approximate a cosine function by using a polynomial function. Generalizes the expansion of cosine using sigma notation. [9:59]

Video continues a discussion about the relationship between the polynomial approximations for the sine, cosine and e^x functions from Maclaurin series and uses those to derive Euler's formula and Euler's identity. [10:18]

Video lesson relating the polynomial approximations for the sine, cosine and e^x functions from Maclaurin series. [9:59]

Video lesson showing how to approximate a function at 0 using a polynomial by deriving the first three terms for the formula of a Maclaurin series. [9:45]