a study of fourier series using e^x

the general formula of the fourier series is stated, and then computed for e^x
it is graphed computationally to various degrees of accuracy


looks like maxima outputs, converted to a file that's about 3% of its original size isn't very good for quality preservation...

still alive

this blog is not dead
i'm just really busy with work!

Euler's Formula

Trying something new today- using LaTex and CamStudio, I needed no special equipment to write and record a video. I don't need to worry about lighting, and other such nuances, either!

Anyways, Euler's Formula is a very interesting formula, which shows how simple rules of mathematics can interact to create very elegant situations!

Taylor's Theorem - Video

Derivation of Taylor's Theorem using the Fundamental Theorem of Calculus.
Taylor's Theorem can be used to represent functions as infinite series (aptly named, Taylor Series), which can be helpful in analyzing them.

l'Hopital's rule, example

l'Hopital's rule is useful for finding limits of the form f/g, where the limit of f and g both go to zero, or infinity.
Todays video is an example of l'Hopital's rule.
The rule is stated, and an example is given.

Integration by Parts, Derivation, Example - Video

Integration by parts is a useful technique for solving integrals of a certain, common form. In this video, a derivation of the formula is given, in addition to an example.

.999 = 1

A classic theorem, which provides insight into rigor, and the nature of infinity, and countability