(1:2) Where the Laplace Transform comes from (Arthur Mattuck, MIT)

[RainbowDashXSyndrome]

Sometimes when I'm in math class, I feel so out of Laplace

[potpie921]

amazing!

[MrBigEnchilada]

maclaurin series

1+ x^2 + x^3 + .... + x^n

taylor series representations, using

1 + x/1! + x^2/2! + x^3/3! + .... + x^n/n! to represent e^x

sounds like some people should look at some previous lectures in order to understand this...most people including myself forget stuff, especially taylor series representations for things like sinh or cosh

[Antulp]

this is a fuking thing

[Antulp]

esta horrible no entiendo



[Ghaiyst]

I was teaching myself this kind of stuff yesterday without even realizing it! lol

[atmark666]

dont go stupid school, go best school.

[koteroni]

This is the 19th lecture of 18.03 Differential equations course

[speaker00001]

Im an industrial designer. This means absolutely nothign to me- in fact my brain just had a melt down. I can understand a design concept but not a mamatical concept. funny how the brain works.

[IndividualParties]

@speaker00001

you didn't have to take differential equations?

[azmathmoosa]

dont get anything after 3:50

[Chubigans]

@azmathmoosa you don't understand convergence of power series then, it's a prerequisite.

[Perapk]

I see what he did there, geometric series sum and the series presentation of e^x.

[axelfarias3]

great

[andresgoens]

4:16 hmm "1/n you won't know", yes, because it's not defined (the first term would be 1/0 x^0, which is not defined) but 1/n! is all right, because 0! is defined to be 1

[soccom8341576]

nice!

[sikory]

@andresgoens In cases like that it is assumed that one excludes terms where division by zero takes place,

in this case the series world sum up to -ln(1-x) for |x|<1

[escorpio31416]

Si alguien se diera la molestia de subtitular este video millosnes de personas se lo agradeceria.

Subtitulos porfavoooorrrrrrrr!!!!!!!!!!!!­!!!!!

[Pr0feBboy]

I understand this professor better than our professors in my own country and even my english is not perfect OMG

[gjohn1000]

geezzz he's making me feel as tho i know nothing about differential equations....but then again i'm at college level...:P

[gremlinextreme101]

i did this last year as a junior in high school

[troponinnutrition]

You will see concepts of differential equations many times and in many classes throughout your education.

It tends to be after you've "learned" it through many stages of advance before you realize you know very little about differential equations.