Calculus III: Three Dimensional Coordinate Systems (Level 1 of 10) | Basics

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This video is a review of number lines and coordinate systems. This video goes over the basic concepts and terminology of one dimensional, and two dimensional coordinate systems. This video concludes with an introduction to three dimensional coordinate systems as a starting point to successfully study multivariable calculus.
#calculus3 #math #mathfortress
Topics:
00:00-00:30 Introduction
00:30-01:55 One Dimensional Coordinate System
01:55-04:40 Two Dimensional Coordinate System
04:40-11:50 Three Dimensional Coordinate System
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Опубликовано:

17 июл 2024

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Комментарии : 151

@MathFortress 6 лет назад

0:30 One Dimensional Coordinate System 1:55 Two Dimensional Coordinate System 4:40 Three Dimensional Coordinate System

@wintermelon8268 2 месяца назад

Thank you so much, this is one of the only few videos that REALLY explain octants! This was such a fast subscribe

@joshuawas 8 лет назад

Awesome video. You explained the concepts of 3-d graphing really well!

@MathFortress 11 лет назад

Thanks. Let every one else know how awesome Math Fortress can be.

@1992agosto29 7 лет назад

first time watching one of your videos. Thanks for being so detail in explaining everything. This should make my calc III class a lot easier. subscribed!

@MathFortress 7 лет назад

+Cesar Lopez thank you for your awesome comment please share the videos!

@Yamahabr3h 9 лет назад

You are amazingly elaborately in your speaking and visually! Very very helpful! Thank you!

@MathFortress 9 лет назад

Yamaha brehh Thanks for the feedback please spread the word about math fortress and let every one know about it!

@HClutchwao Год назад

You are thr best human being on earth 🙌 Thanks for working on this👍🏾👍🏾

@MathFortress 11 лет назад

Thank you! Let every one know about Math Fortress.

@MathFortress 11 лет назад

No Problem. Glad these videos are useful in other parts of the world!

@MathFortress 12 лет назад

Thank you! You got it, I will make more when I have the chance.

@MathFortress 12 лет назад

Glad you enjoyed it. Let every one in our class know about Mathfortress.

@g3n3sis69 8 лет назад

wow...the video really explained in a fantastic way...before i was really stumbling to catch the 3D..but now I feel it really easier..

@MathFortress 8 лет назад

+imtiaj sreejon Let everyone know about Math Fortress!

@nwind27 11 лет назад

very clear and easy!! keep uploading your video!

@hussainyousef5674 11 лет назад

Thank you for your reply, I will try to find out about that.

@itsvollx9684 4 года назад

needed thins for Programming and making shapes thank you!

@MathFortress 12 лет назад

Thanks! Let every one know about Math Fortress.

@foodparadise5792 7 лет назад

With all the non-sense wars and attacks in the world everyday, you are here teaching math and indeed making the world better place, I solute to your afford. Big THANKS!

@jee9maths 4 года назад

Thank you sir for beautiful explanation...

@MathFortress 11 лет назад

That is awesome! You will use it to calculate probabilities of events, co-variance of joint density functions. You will be making bank for sure. Granted that you pass the rigorous exams.

@chrisgreen1904 2 года назад

Perfectly explained.

@MathFortress 12 лет назад

@ah17med No problem glad you enjoyed it!

@utf8redactedcharacters 12 лет назад

This was amazing! Thank You

@shirleyyong3130 6 лет назад

THANK YOU FOR THIS!!

@apprasad69 7 лет назад

So clearly explained and beautifully visualised!!! 5 STARS!

@MathFortress 7 лет назад

+Prasad Press Hard thanks for the feedback please share the video.

@vivekp4359 5 лет назад

Awesome explanation and graphics!!! Thanks!

@MathFortress 5 лет назад

Thank You!

@arifkizilay 2 года назад

well memorized. thanks.

@MathFortress 11 лет назад

Your welcome glad you enjoyed it. Spread the word about MathFortress!

@amer81397 9 лет назад

Thanks for the vid man!

@Higgsinophysics 6 лет назад

Perfectly explained

@richardasor5808 7 лет назад

thanks for this tutorial! i really love this subject.

@MathFortress 7 лет назад

+richard asor thank you please share the videos!

@QCKeith 9 лет назад

Thanks! Enjoyed this learning experience!

@MathFortress 9 лет назад

Great! Help spread the word about Math Fortress!

@saadhaider9576 9 лет назад

Thank you. You are brilliant don't stop please

@MathFortress 9 лет назад

Thank you! Please spread the word about these videos and Math Fortress!

@math1932 9 лет назад

respect. thats great ..more vids we want !

@shivanisharma4958 8 лет назад

Now I love Three-Dimensional Coordinate Systems.

@MathFortress 8 лет назад

+Shivani sharma Let more people fall in love, share the video!

@shivanisharma4958 8 лет назад

+Math Fortress :D

@MathFortress 11 лет назад

I will once I see that there is a demand for Calc 3 videos and when I have the time to do so. You can help by spreading out the word of Math Fortress!

@rohitraaz1237 6 лет назад

...it really helped, and got me completely clear with this 3-D thing.

@MathFortress 6 лет назад

Great please like and share the videos!

@fleendha 11 лет назад

Great video

@mathgmathg923 5 лет назад

YOU ARE AMAZING!!! THANKS FOR THE VIDEO!!!!!

@MathFortress 5 лет назад

Thank you please share and like.

@giusepperagusa3436 9 лет назад

I'm only in Calc II but you did a nice job helping me understand the 3D coordinate system

@MathFortress 9 лет назад

Thanks! Please help spread the word about Math Fortress!

@ivetterodriguez1994 6 лет назад

I'll be going into Calc I as a highschool student. I hope I do well. It looks intriguing!

@MathFortress 11 лет назад

Thank you! Spread the word about Math Fortress!

@medhanya4475 11 лет назад

good way to explain the topic.

@ayushshah4649 9 лет назад

great work

@eleazaralmazan4089 8 лет назад

Your videos are great!

@MathFortress 8 лет назад

+Eleazar Almazan Thank you. Please let everyone know about Math Fortress!

@abuhamza6817 6 лет назад

very very helpful video , thank you so much sir

@MathFortress 6 лет назад

+abu hamza your welcome please share the videos!

@hallahali2457 10 лет назад

great method to introduce the information i like it

@Sam-dc9bg 10 лет назад

Thank you.

@nirmalisharma6620 7 лет назад

great video!!! enjoyed it

@MathFortress 7 лет назад

Please like and share the video!

@sheikhiftikhar8788 7 лет назад

THE BEST EXPLANATION EVER

@MathFortress 7 лет назад

Thank you please share the video!

@jakeaudi297 11 лет назад

Ok thank u. I am. Since am taking Calc 3 in the summer a lot of students want to prepare

@y_p7 8 лет назад

Woowwww the best explanation I've ever seen, thanks, very very awesome ..... :) :)

@MathFortress 8 лет назад

+Yusuf Paiman your welcome please let everyone know about math fortress!

@y_p7 8 лет назад

+Math Fortress okay absolutely!! I'll share it with everyone on Social media

@lecturesofilyas5136 6 лет назад

good work

@MathFortress 11 лет назад

Google the "Centroid of a Triangle" this might give you some insight of how to approach the problem.

@sana-ur-rahman1202 7 лет назад

thank you sir , good presentation

@MathFortress 7 лет назад

+Sanaur Rahman no problem please like and share the video.

@wgj427 11 лет назад

Calculus III might kick my butt. It's kind of challenging to picture the 3-dimensional coordinate system, despite the easy simplification this video provides. Oh, well. I have until next semester.

@gulnazsoltanova1600 6 лет назад

Thank you very much for your help. Now I say that I know coordinate systems excatly😊

@MathFortress 6 лет назад

Thank you please like and share the video.

@aliabdu6322 7 лет назад

Great presentation...Thank you..

@MathFortress 7 лет назад

+Ali Abdu please like and share the video.

@aliabdu6322 7 лет назад

done...even before you asked...thank you

@AmeerulIslam 9 лет назад

awesome!

@MathFortress 9 лет назад

Thank you! Please spread the word about these videos and Math Fortress!

@ah17med 12 лет назад

thanx 2 much

@azgh11 12 лет назад

any easier way to remember is 3 dimensions =volume=length width and height= x,y,and z are like the length width and height of the object you are graphing Z is obviously the height x is probably the length and y is like the width. you can also remember the Cartesian cordinate plane as are because of only dimensions height and width.

@markherrmann8829 8 лет назад

thank you

@MathFortress 8 лет назад

+Mark Herrmann No Problem please share the video and spread the word about Math Fortress.

@mdsalamalakhal3936 8 лет назад

very nice bro

@tensorbundle 11 лет назад

I'm proud of you because you aren't like typical American young man always drooling over Lady Gaga or Bieber's latest hits. Keep up the good works.

@lecturesofilyas5136 6 лет назад

Thank you

@MathFortress 6 лет назад

Please like and share the videos!

@mghosh464 7 лет назад

Thanks😁

@MathFortress 7 лет назад

+M Ghosh no problem please like and share the video.

@jakeaudi297 11 лет назад

Hey sir. Can u do more videos on calc 3 like vectors and more lessons. Thank u

@vandanachaudhary9019 5 лет назад

Very nice video .....

@MathFortress 5 лет назад

Thanks please share the video!

@tranquility_investments 9 лет назад

Skip to 4:45 for 3-D

@user-zn4lu8bv8b 3 года назад

Great

@BatusaiJack 11 лет назад

Wow cool

@shoug-i7 8 лет назад

Thanks

@MathFortress 8 лет назад

Your welcome please spread the word about mathfortress.

@hussainyousef5674 11 лет назад

Great explanation. I would like to ask a question if you do not mind. I have a phantom with a fixed set of (x,y,z) points. It was scanned 3 times, but every time, the location of phantom was changed, i.e. same points, gave different (x,y,z) values. I want to put them on same graph and show how much deviation in 3scans, But because the (x,y,z) is different, it shows very big variation, in reality, i am sure it is very small, coz points are fixed. Please help me to unify the origin or what to do

@calmtrapish.2753 6 лет назад

*I AM INTRIGUED*

@dominicheywood2286 4 года назад

I saw an example of the 3 dimensional plane in chapter 8 of a lower six maths book from 2d to 3d the equations ax + by = c or ax + by + c = 0 where c is a constant .I think for the 3d equations it's x + y + z = c. Does it matter which way the graphed axis x ,y and z are written could it be any order ? .

@MathFortress 4 года назад

Does not matter.

@2010RSHACKS 7 лет назад

why is the 3d one not having x across and y up and down and z for depth? why does it have to be rotated like that?

@MathFortress 7 лет назад

+nothing this is the standard used in most courses in the United States.

@myousefzadeh 5 лет назад

Dear Math Fortress I would appreciate if you let me know the name of software or program you used for creating these lectures.

@MathFortress 5 лет назад

We use many programs like maplesoft and adobe creative cloud.

@HealthVeteran 11 лет назад

Math is my niche. Took a 5 hour accelerated Calculus I course in 7 weeks time. PhD Prof gave up 150-200 problems to work after EVERY class. Stayed up till 2-3AM each night/morning working the probs. Final counted double. One A equals 20 quality points on the semester system. Took 3 hour Chemistry, never studied but relied on what I knew & from chem in high school. Made a B but don't know how, I did not study as Cal I took all the time up. Next 5hr course Cal II was easier, reg semester.

@lionelmasoane391 10 лет назад

lovely

@MathFortress 11 лет назад

If you study physics you will use it in your electrodynamics, quantum mechanics, statistical mechanics course. If you are an economist you will use it when solving nonlinear programming problems. If you want to use math in real life become an "actuary" they use math every day to quantify risk. The wavy surface can be used to describe max wells equations. Nearly every single field of math has applications in real life, if it does not then no one has discovered why its useful yet.

@lecturesofilyas5136 6 лет назад

What is difference between octant and quadrant?

@MathFortress 6 лет назад

Quadrants are partitions in a 2D Cartesian coordinate system. Octants are partitions in a 3D coordinate system.

@Nickuncle 11 лет назад

So...this question gets asked a lot, and I'm sure it's annoying but...what is Calculus 3 even used for? Sure I can graph a wavy surface, but what does that do for me?

@comic4relief 7 лет назад

Looks good. By the way, axes, plural of axis, is pronounced [ax-eez].

@learn_technology_with_panda 6 лет назад

Have you covered gradient descent?

@MathFortress 6 лет назад

Not yet we do plan of covering it in the future.

@StupidBadyXD 10 лет назад

the hard part is to put the point into a paper. How in the world do i draw it. I am not an Artist!

@codyhubert6178 7 лет назад

For anybody wondering, the Z axis is called the "Applicate"

@MathFortress 7 лет назад

+Cody Hubert nice so the x-axis is called the abscissa, the y-axis is called the ordinate and the z-axis is called the applicate.

@danako18 10 лет назад

@ 11:04 see the eight trigrams

@IonCubekhanz 11 лет назад

Thanks u from Pakistan

@ivetterodriguez1994 6 лет назад

8:23 I got lost. But I haven't even taken my first year of calculus yet, just finished precal.

@MathFortress 6 лет назад

You can get a small head start with our calculus 1 video playlist. Please like and share!

@Nickuncle 11 лет назад

I have to admit, I'm a bit embarassed. I'm majoring in Actuarial Science. I'm a Freshman though and haven't taken Calc III yet. Just wanted to get an idea of what it was about before I took the course.

@simonetruglia 9 лет назад

What a beautiful guy! Thank you very much :)

@seriousmax 9 лет назад

4:00 nice smileys..

@B.A.Gondal 10 лет назад

can you take calculus 4 without taking calculus 3?

@MathFortress 10 лет назад

If by calculus 4 you are referring to "Linear Algebra" then yes you can take that before this one. Some students also take linear algebra and Multivariable calculus together. Some schools also incorporate linear algebra with differential equations.

@B.A.Gondal 10 лет назад

Math Fortress Hey, no Calculus 4 is different than Linear Algebra, its specific name is "Vector Calculus" and Calculus 3 is Multivariate Calculus. I am taking Linear Algebra rightnow.

@MathFortress 10 лет назад

Asymptote Multivariable calculus and vector calculus usually means the same thing. Some university call them differently but I am guessing that your school breaks apart calculus III into 2 series one is multivariable calculus and then vector calculus. In general you need to know multivariable calculus before you attempt to do vector calculus.