Complex Numbers, Part 11 - Absolute Value

[Heyydogwithththat]

I had know idea what any of this was until watching this video. Thank You.

[chris082681]

Thank you... oddly enough the question I have on this tutorial sheet is |3+4i|. My brain was hurting so much to try and figure out why the answer is 5... my brain feels good now :D

[tankriot1]

Thanks so much man it helps alot

[TwinkiexTacoxGod]

can u show an example of an absolute-value with complex numbers involving a radical???

[MissONTM]

any videos on using complex numbers with the quadratic formula?

[Ericman2043]

i did some thing wrong lol,i squared 3i instead of 3 :(

[LFCPlatina]

@derekowens is this series of video cover every difficulty of complex numbers? i'm studying it RN for university test next year..

[derekowens]

@LFCPlatina No this is just an introduction to the topic. I cover some more in the Precalculus class, but most of that is not on YouTube.

[TheSunnyvieri]

george bush ???



[ZodiacStarcraft]

what program did you use for this?

[suntzu53]

@derekowens I hate to sound picky and snobbish about this, but im surprised you haven't said anything about the actual name of the operation of the "absolute value". The Modulus.

[derekowens]

@suntzu53 Thanks. Not picky or snobbish, and the comment is appreciated, and that's a good point. It simply didn't come to mind when I was recording. However, re-recording these is on my list of things to do, and I will try to remember to add that.

DO

[killani64]

are you planning on doing something about the trigonometric side of complex numbers? It's too late for me now, my exams tomorrow, but i'm sure it would help alot of other people.

[derekowens]

@killani64 Yes, I cover that in the Precalculus class. Interesting material. I need to re-record those videos before I post them, though.

DO

[bubblebini]

thank you so much derek this is so helpful! i was also impressed by the tablet application you used. would you mind telling me what device you used? (i was looking for an affordable tablet device for art purposes)

[bubblebini]

thank you so much derek this is so helpful! i was also impressed by the tablet application you used. would you mind telling me what device you used? (i was looking for an affordable tablet device for art purposes)

[deeFUNKtify]

what is the significance for the distance from the origin for a complex number being a real number? how can a number (eg 4+3i) that exists partly OUT of the real number system have a characteristic being a purely real number (eg 5 units)

my question is: shouldn't there be an imaginary component to the distance, since you are dealing with a complex number?

[gottalovefringe]

so, homeschooling is pretty cool, I have 6 hours (on worse days) of work, then I sit go workout, and then play xbox. but at the same time, its really hard for some teachers to instruct via messages and videos with terrible quality. this makes you, derek owens, a personal savior. thank you sir, i am eternally indebted to you :P

[derekowens]

@gottalovefringe Thanks! I'm glad the videos have been helpful. Lots more are coming as I have time....

[Osman9100]

I think the plus sign befeore square root is must be writen.

[FalconXFan10]

your so cool you have my teacher watching these videos. well your not cool to me but... your helpful lol.

[frostwow]

you can bet your ass it gave me "a little bit more understanding" about the need for complex numbers, sir

thank you very much

[laxylinds73]

i'm in algebra 2 and my teacher is terrible!! you videos are great at explaining what he can't explain well!! thanks!

[behnamasid]

If a complex "number" is represented on a plane, then how can we represent a complex line?

[purecodan]

hey, i have a question. Wouldn't the absolute value of 4+3i be sqrt(4^2+3i^2), which would make it sqrt(16+(-9))

sqrt(7).

(Im new to tese complex numbers so i dontknow much yet, soplz help!!) thanks

[derekowens]

@purecodan Think of absolute value as being the distance to the origin. This way of thinking of it works for real numbers *and* for complex numbers. For a complex number, the distance to the origin will just be the length of the line segment from the point in the plane to the origin, and you can calculate this distance with the Pythagorean theorem. You just think of the length, and just as you ignore the + and - with real absolute value, you ignore the +i and -i with complex absolute value.

[warriorpoet575]

Great video series bud. Was a pleasure watching them all!

[schachmathi2008]

A good one! Thank you.

[pfifofast]

I had no reason to watch these videos to begin with, but an educational waste of a hour. Time for some important video gaming now.

[FIyingDumpling]

thank you for this video, this really cleared things up for me in the subtraction part. I had not idea why my teacher suddenly changed the negative into a postive.......

I feel so stupid for not realizing this

[fea168]

Thanks for the explanation!

[karevkarev]

I actually didn't intend to watch this, but first video was cool and the playlist short, so I end up watching all playlist. Thanks!

[derekowens]

@karevkarev  Glad you liked it! Thanks!

D.O.

[Evangelionchan]

THANKYOU !!!! Thank you Thank you, I just got taught this today and when it came to absolute value I was O_O so lost. I believe if he had explained the second step no one would have been lost. Thank you ur so awesome!!!

[madlie3]

This helped me a lot! I am very grateful there are people like you out there!

[12cyberspy12]

many thanks for the tuts

[EpicSmartAss]

dude thanks alot very much easier to understand a video than wikipedia.. i feel dumb now for having trouble with this.

[mailw1n]

Thanks man!

[woo216]

cool your videos are like khanacademy's videos

[xSeraphia]

haha jeez you're like my virtual tutor! you've helped me with chemistry, geometry, and even algebra II! And I didn't even pay for anything those silly trial lessons charge you after one try! Thanks so much man, you're awesome :]

[TGreat8BallT]

Thanks a lot. You make things so simple compared to my teacher. You are so helpful! Thanks!

[EdHarnett]

Great teaching - you made something intimidating accessible and interesting. Well done.

[mikeyright13]

thank you so much!!!

[FinalFantasyTrailers]

Hi, I was wondering if you can talk about, or at most teach us, the shapes made on a Argand Diagram. I don't actually know the term for it, but it does come under the complex number syllabus in my exam. It would be very beneficial to me and hopefully many others! Thank you.

[thepatshowonwp]

I have watched all eleven of the complex number videos and I must say I have NEVER had tutoring like this before IN MY LIFE! I learn in a certain way and this series really makes me feel confident about my algebra skills. BRAVO!

[armandoperico]

thank you, great job!!!

[piedey007]

thanks alot when my teacher tried to explain i didnt get it at all now i do ;) do you think there'll be more about complex number?

thanks alott

[momento83]

thanke you so much.... i saved a lot of time by watching this instead of reading everything again, i just needet to refresh my memory... :) again, thanks for your help and i hope to see more of your lectures :)

[SexyNeverLeft69]

THANK YOU =)

[feo130]

Thank you very much. I never understood how to do absolute value with imaginaries until you explained it so clearly.

[YuKiToRaNA05]

You Sir, is a TRUE LEGEND. Your lectures are so Simple yet Beautiful!!!!

Thank You

[DojoProductionz]

Vhery nice, vhery nice. High-five!!

[aztrorisk]

Thank you so much! I finally learned how to do this instead of spending a longer time reading from my math book!

[Slimye]

Many thanks you helped me alot!

[Jesuslovesforever123]

Thank you sooooo much!!!!!! I am doing a test review for my test tomorrow and I got stuck on one of these problems and couldn't seem to get it, but I think I have it down now :D <3

You explained it very well, especially helpful because I took Geometry last year and worked with those formulas

[DuhDun]

Thanks a lot, really helped

[Sorakui]

Oh man! You totally rock! This helped me soooo much! <3

[KurdishSaladin]

man,  your explanation is so good! thx a lot

[alohakepeli]

watch all your videos. the gauss one was very interesting. thanks derek.

[javagao]

I Watched all vids of complex numbers. very worth! cheers from Brazil

[wove212]

thank you! it helped.

[pierswdavidson]

11 videos down - found each and every one succinct and useful. Thanks 10^6

[gatapia1]

I found this series of videos, looking for help on complex numbers so I could understand elementary quantum mechanics (Leonard Susskind's Stanford Lectures can be found on youtube). I am confident after watching all 11 videos (including the 2 historical ones, which I thought were great) that I understand what complex numbers are. You are a great teacher.

[derekowens]

Thanks! I'm glad you folks are finding these helpful. More (lots more) are on the way once I have time.

[mzc29]

Have you continued on complex planes. I am taking a course with this book "Complex Variables and Applications, 8th Ed, Brown & Churchill".

Have you covered topics from this book?

Thanks so far so good.

[xoheyoo]

thank u so much, this helped me understand it better

[YeAhHbAbYy08]

thank you. this helped me a lot for my alg. 2 exam.