Math 2850 Euler's Formula

[imtoolazyyyy]

BOOOOOOOOOOOOOOOOOOOOOOOOO

[99peeter99]

thx. is it correct to interpretate  (pi, e, ) like a "process" ?

[99peeter99]

@99peeter99 ...rather than "number", in this view, if we calculate pi, we look and try to define final number of circumference, but it is wrong attitude, because we can process on to infinite number of digits...

[Saideth]

hey thx a lot, i had to explain this during algebra

[Gytax0]

Hello. What program are you using to draw-write?

[cstitz42]

@Gytax0 I'm using a Wacom Bamboo Tablet with Ultimate Pen (Mac OX) I use ScreenFlow to screen-capture. Sorry I took so long to respond to your question!

[madamefoster23]

Wow it was so cool when you added them up and got cosh (x)

Math is cool :)

[ekenze]

Wrong.You don't use i, you use j. I read Modern Engineering and it is the wrong way to signify it,

[cstitz42]

@ekenze Mathematicians use "i," engineers use "j." Somehow, we manage to get along. =)

[MyOverflow]

@cstitz42 I think I know why engineers use j. It seems to make a lot more sense to view complex numbers as just vectors for Engineering applications, and the imaginary part moves along the "y-axis" (Imaginary axis) on the Complex plane, so it emulates the unit vector j more than unit vector i and, thus, is notated as j to lower the confusion when working with really hairy problems.

[cstitz42]

@MyOverflow I think you're correct.

[gvsfgdf]

@ekenze IT'S i YOU NOOB.... NOT j..... there a physics major agreed with the mathematician...

[ekenze]

@gvsfgdf Lol. I have the book Modern Engineering Mathematics and it clearly states that it's j. You noob lol when you start university LIKE ME, come and talk. Not when your in your mid high school. Lol fucking noob

[gvsfgdf]

@ekenze Im a freshman at Michigan State dipshit... The CORRECT notation is i not fucking j.... only dumbass engineers use j... mathematicians and physicists use i... you assraving cockmaster..... Typical arrogant engineering student....

[MyOverflow]

@ekenze It's both. The different notation is there just because complex numbers have different uses between engineers and mathematicians.

The notation of using i is used because that was it's original definition. If you've ever entered a Linear Algebra or even Engineering Mechanics class, you'll also know of vectors and vector notation using the i and j unit vectors. Engineers use j because the imaginary units of a complex number emulate the j unit vector in applications.

[gvsfgdf]

@ekenze I also don't care what your crappy engineering book says... my physics book: UNIVERSITY PHYSICS CLEARLY STATES i not j....

[JLJorgenson18]

@ekenze Have you ever taken any sort of math class? i is the way it is taught

[ekenze]

@JLJorgenson18 Yes, in high school i learned i. Now that im studying computer engineering we learned that j is the right one. So all you noob who says i is the right one, go back to high school.....

[Maxpow33r]

@ekenze In Mecheng we use i, maybe they do things different in engscience, but then again we use the opposite of sheer bending and work done on/by etc

[31428571J]

Interesting...nicely explained.

[idolgin776]

A great lesson on Euler's formula. The series decomposition makes it so much easier to inderstand and appreciate.

[mNmz013]

You deserve a medal

[Thymonico]

I just got tenfold smarter in 11 minutes!

This tied so many ends in my mathematical knowledge! It replaced my need to memorize these things, into intuition!

Can't wait until we actually have this in a couple of years or so!

[JSSTyger]

The greatest equation in history...logarithms, trig, complex numbers all related.

[jhonma1]

Thanks so much.

[zgr9]

lol power series yuck, favorite topic lol

[illusion422]

Euler's Formula is very useful in differential equations involving Laplace Transforms / Fourier Transforms.

Also the Shrodinger non-linear differential equation can be very much simplified using that formula.

They'res many other subjects like circuits that uses complex numbers all the time so Euler's equation is essential.

[sashonr1]

Very cool. 9:00 "Come on, you know you wanna do it..." - priceless!

[hotamali]

Between online resources and books I have learned more mathematics than 4 years of public education could ever teach me.

[Alshonu]

Superb. Helped a lot!

[adastra123]

Beautifully put. Thanks a million .

[intencityteam]

Thanks man that was usefull...I knew the type but i didn't knew the proof:)

[mysticyx]

Lost me when cosh and sinh came up.

[banksd29]

interesting watch. well explained

[ukidding]

does euler's formula have any practical application?

[cstitz42]

Great question! The short answer is: yes! The long answer: It is very useful in the solution of differential equations which are used by scientists and engineers to describe our world.

[Venaloid]

@cstitz42 - I'm actually doing a project where we have to teach exactly this and we need to have a problem for the class to do, do you know an example of how Euler's Formula could be used as you described above?

[TexDublee]

@cstitz42 I'd say that euler's formula does not have any practical application, but the defined object, the complex exponential, is very useful in many domains

[renizer]

@ukidding excuse me, no offense, but LOL =)

[btkw]

i dun understand this but i wish i could T_T

im only a student

[Komate12]

Thanks man

[dodgeqwe]

thankyou very much. hope you will post more helpful math videos

[Irenecus]

Thanks. I still haven't studied complex numbers, but i understood it very well.

[olosratserif]

Thanks for this, very useful.