The moment this gentleman made me understand the imaginary numbers i have literally got tears in my eyes. YOU ARE A GREAT HUMAN BEING SIR! GOD BLESS YOU!

@xan6990

Жыл бұрын

Jesus Christ loves us all. For the Spirit God gave us does not make us timid, but gives us power, love and self-discipline. 2 Timothy 1:7 NIV

@JthElement

7 ай бұрын

@@xan6990 Clown, STOP spamming.

@KemZii_

6 ай бұрын

​@@JthElementI know you're not talking

This is the first time I am seeing a math professor combining with physics professor in one man.. Awesome....

@anabeldoyle3586

3 жыл бұрын

You rock!!

@Unkown242

3 жыл бұрын

@Blanch Bagnall okay wtf are you talking about

@pakONEoh

3 жыл бұрын

Absolutely! He shows how mathematics applies in the real world as opposed to in a vacuum. I love it!

@xan6990

Жыл бұрын

Jesus Christ loves us all. For the Spirit God gave us does not make us timid, but gives us power, love and self-discipline. 2 Timothy 1:7 NIV

@xan6990

Жыл бұрын

@@anabeldoyle3586 Jesus Christ loves us all. For the Spirit God gave us does not make us timid, but gives us power, love and self-discipline. 2 Timothy 1:7 NIV

I am a pretty old dude to be studying math, i came back to pre-algebra and saw 'i', which i vaguely remembered. after seeing all of the concepts in this video (sin, cos, etc) it is super clear to me now why they taught me 'i' in high school. Amazing explanation, for me. Though judging by the comments, I can see some guys in early high school that are being shown 'i' for the first time, without any idea about trig or calculus, this could be improved someway to make this imaginary completely understandable to grade 9 students. Excellent work! Any high school teacher introducing students to 'i' should require this video as homework.

@xan6990

Жыл бұрын

Jesus Christ loves us all. For the Spirit God gave us does not make us timid, but gives us power, love and self-discipline. 2 Timothy 1:7 NIV

@Eudjier

Жыл бұрын

Well they taught you the wheel 🎡 in precalculus because you're right the angles is the "momentum" angles in both the imaginary numbers fields in physics and also in relation to visual or spacing frames of relative motion or distances with the idea of times in dimensional depths. If you use Tangents at 90s you get the momentums which otherwise don't exist because they angle the spin direction it's coming in or going out. Its like catching a ball in midair and knowing where it's going to land, you got distance, depth, and time, motion. All the degrees.

@pumpalin8661

10 ай бұрын

I’m a grade 9 student, high school just started and I came across this video, I love math and science and understood most of the video so far, very well explained

@tetrahedronX7

2 ай бұрын

@@xan6990 what does have to with imaginary numbers?

"There's a lot more depth from what's on the board" I think is a reference to how many many boards he has

@AKRGaming71

3 жыл бұрын

xD

@tsehaydorri8897

3 жыл бұрын

why do i hate every video this guy makes?

@xan6990

Жыл бұрын

@@AKRGaming71 Jesus Christ loves us all. For the Spirit God gave us does not make us timid, but gives us power, love and self-discipline. 2 Timothy 1:7 NIV

What a great teacher.. I feel instead of attending school, kids should just watch his video. You are great!

@edgar_eats_pi

2 жыл бұрын

Lol. I am 10 years old!

@edgar_eats_pi

2 жыл бұрын

And I understand this!

@twinkieboyuu2629

2 жыл бұрын

School is to teach us and then give us practice, who will give us practice sheets of all we do is watch videos

@xan6990

Жыл бұрын

@@edgar_eats_pi Jesus Christ loves us all. For the Spirit God gave us does not make us timid, but gives us power, love and self-discipline. 2 Timothy 1:7 NIV

@xan6990

Жыл бұрын

@Reelty Productions Jesus Christ loves us all. For the Spirit God gave us does not make us timid, but gives us power, love and self-discipline. 2 Timothy 1:7 NIV

I get it. I get it. Thank you! Excellent, effective, educative presentation style!

@xan6990

Жыл бұрын

Jesus Christ loves us all. For the Spirit God gave us does not make us timid, but gives us power, love and self-discipline. 2 Timothy 1:7 NIV

I wish I had got a teacher/professor like you in my school/college I would have not struggled in my studies. You are a blessing. GOD bless you.

If only I could give this video a million likes. The explanation of imaginary numbers and how to use them was so helpful. I feel confident that I’m going to do well on my test today ;)

Truly, you explained/presented the complex world of math in its simplest manner! Math made easy! Thank you for all of your tutorial videos!!!

Wow perfect teaching, love how you show advanced math showing it’s use. Every class should do that

I loved this lecture! So clear and informative... Thank you!

I appreciate all of your content. Thank you. Wish you would have been my professor for college!

You brought significant clarity to this content for me. Thanks sir. ❤

I love the great depth you go-to for all your videos

Thank you for this video. After watching this video, it cleared a lot of confusion surrounding the topic of imaginary numbers. Afterwards, I was able to apply my knowledge and practice what I have learnt. Thank you once again. It's always a great feeling when you finally understand a topic in mathematics.

Thank you so much. Wasn't understanding the concept of imaginary numbers on Khan Academy, but you cleared it up thoroughly.

Thank you so much,sir. I am not a maths teacher and I have difficulty in explaining about it. Your explanation greatly helps me.

been out of school for decades and have literally no use for this. BEST EXPLANATION EVER. I came here after watching a stick figure animation where he was fighting math and (i) kept coming up and I had no idea what that was. after almost giving up watching other terrible videos and guides, tried your video and I feel extremely enlightened and happy. back in my day, these would all be "undefined". I remember that word. almost wish I was back in school to solve these and commit them to muscle memory. ty!

Very very interesting and inspiring 💐 Your lessons are far more thrilling than any thriller 😊 Thanks a lot ❤

Sir you are powerful than others and really inspire me for curiosity of unknown staff. I have easily understood about “i” concept and application just as other introductions you presented. I am so joyful from my heart. Thank you Sir❤

Very helpful for reviewing things, and also interesting and engaging. Great video!

The Greatest.. Teacher of all times.. Love the class..

This lesson was really good. I like how he combined various topics in math.

I was looking into number systems and ended up wanting more information on imaginary numbers in number systems, I didn't find my answer here but the clarity of the information and its relation was greater than any post-secondary school lessons I took.

Damn, i liked your content right here. keep up the good work man, good job.

Is there a playlist for complex numbers chapter? Otherwise where could i find part 12 of this series?

You and Khan Academy are my two favorite resources for this kind of information. Thanks for everything!

@shawnd.8498

2 жыл бұрын

NancyPi and the Organic Chemistry Tutor are also great teachers as well.

@adityatyagi4009

2 жыл бұрын

@@shawnd.8498 Thanks!

@xan6990

Жыл бұрын

@@shawnd.8498 Jesus Christ loves us all. For the Spirit God gave us does not make us timid, but gives us power, love and self-discipline. 2 Timothy 1:7 NIV

This video got you a sub. It's very hard to find videos or resources that elucidate concepts like imaginary numbers well, but this is one of those. Thank you!

@MathAndScience

Жыл бұрын

Thanks for the sub! And thank you for the nice comment!

This was a great explanation. Good history involved to. I haven't done this stuff in over 30 years. A friend that I work with showed me his math homework because he knows I'm great with math, but it's basic I can't remember certain stuff. This triggered a lot of memories. Such as Sin X=1/Cos X and Cos X= 1/Sin X and Tan X = Sin X / Cos X and Cotangent X=Cos X/Sin X Which allows me to do a lot. It's slowly coming back. Thank you.

This was incredibly helpful, thank you so much. I'm starting a Calculus class in two weeks after not having taken a math course in over 10 years! Nervous but excited, wish me luck.

Thank you, your lectures have been very helpful for me. You make math seem beautiful even to a non mathematian like me.

Wonderful presentation and explanation of concepts!!!

Its been a long time since I have had to use any of this. I enjoy your explanations and simplification of the subject. I would have done much better in cal with you as an instructor.

Where can I get the last part ? Have you made any video about the sin(x)?

Imaginary numbers have always been a bit of a mystery to me. I wish that I had teachers like this when I was in school. The use of the imaginary # I see is easy to understand after seeing this video. 👍👍

It's nearly been a half a decade. Still I am enjoying the subject as if it was yesterday. ty.

Really good explanation. Thank you🙏

Fantastic video! Keep up the good work sir!

you are without a doubt the best math guy on youtube

Thanks for the explanation, it was very clear and useful

You're the best. Thanks.

Thank you so much sir, may God bless you a long life, love from India

Perfect explanation, thank you!

Throughout high school, I was in "high honors" mathematics, so that by my senior year I was learning "advanced caculus" in preparation for the advanced placement exam. Which of the two exams I took, I do not remember, but I do remember this. The very existance of "imaginary numbers" was not revealed to me and my fellow traveling "high honors" math classmates until a month or so before we took the test (the year was 1975). I was so confused from misunderstanding imaginary numbers, I ended up scoring only a 3 out of 5 on the exam, even though, so far as I can remember, the test I took required NO understanding of imaginary numbers at all! I was devastated---prior to my teacher introducing "i" on the blackboard, I was among the top two, no more than three, students in my class! I was so ashamed, my life went in a completely different direction in college----I never took another math or science course again in my life. I wish I hadn't, because now my love of "Layman Physics", takes me only so far. I can read and understand books like "A Brief History of Time" by Hawking, or better yet, "Time Reborn" by Lee Smolin, but don't ask me to derive Schrodingers Equation, the Uncertainty Principle, or even E=Mc2. Nevertheless, I greatly appreciate the above tutorial. At least now I don't have to feel stupid if I were to run into a Physicist and ask him or her; 'when an observer causes the wave function to collapse, can it collapse to an imaginary or complex number, or is it always a "real" number'! (parenthetic pun intended)

I came here because I needed a good introductory video for my students. This is indeed a good one. However, I wish the math teacher would start with the "why" and not the "how ". My students can already solve quadratic and cubic equations when I explain imaginary numbers. I usually let them solve either of the two and, ideally, one from a real-world example. Most importantly, I pick one that yields a solution with the square root of a negative number but has a real number solution and can be solved with some guessing. When they guessed the right solution, I then showed them how applying the concept of "i" would get them to the solution they had guessed previously. I had students who could already do all the stuff shown in this video, but they had yet to learn why they were doing it or what the problem was in the first place. Showing them the "why" first provides purpose and reason and leads them down the path of understanding there once was a problem that someone cleverly solved.

You are a great teacher!

Thanks for this video, i like all your videos math and science

This is my third imaginary numbers vid and the first one where I’m understanding it thank you ✨✨

@MathAndScience

Жыл бұрын

You’re welcome 😊

Thank you for your service

Wish I had this guy for my math classes

Great teacher!!!

What gift, to learn from such teachers. Thank you seems so so lame. Soon I shall be able to buy your help, each month. I thank you for your service to us.

You are awesome, thank you so much!

All of this for free, i lovveeee you

God bless you and your work

I suggest that you put everything related to the radicals lessons in one group so that we can follow the lessons in order to make it easier for us. as well as exponents

This is very great.

After knowing and been through all this, I find the pesistance to force sense out of an impossibility, insane.

Great explanation! Though things like "ignoring the sign" creates a lot of cogintive dissonance in my brain. I see it this way: If sqrt(a) = the number that multiply with itself to get a (which makes geometrical sense since the sqareroot then is the 'root'/line of the area of the square). Then using this rule: (a*b)^2 = a^2 * b ^ 2. So (2I)^2 = 2^2 * I^2 = 4*(-1) = -4, which fullfils the definition of a squareroot, and takes the sign into consideration.

Thank you, mr.

Thank you're the best

This is my first time I watch a full video talking about math

thanks great stuff

Does the power rule apply to imaginary numbers? @29:46 you wrote i^3=i(-1). Couldn’t you use the power rule and say i^3=3i^2=3(-1)=-3?

THANK YOU...SIR...!!!

Powerful stuff.

Wish my imaginary ‘70 Dodge Charger R/T became real

@Unkown242

3 жыл бұрын

Well, you need two of them

@antarachatterjee4299

2 жыл бұрын

@@Unkown242 but if you multiply them, if i^2 is negative 1, then the commenter would actually owe someone a 70 Dodge Charger R/T

Thank you🌹

Thank you very much

Thank you so much.

Thank you sir

I love this guy

I like the future look at why things are important.

Thankyou sir!

can someone explain me what is 1/4th power of -ve1 because 1/2nd power of - ve 1 is called or defined as i........ so the question is what's the 1/4th power of - ve 1 or 1/8th power of the same

Thanks. From Bangladesh.

Very interesting

love it❤️

Now's eye's smart. Thank ya

This is helpful. I am happy I understand now the imaginary numbers.

Question: if we raise i to 0 and Sr of -1 to 0 does that mean 1=1

This teacher’s style is a 1,000 times better than the teacher I have.

Good explanation

@MathAndScience

4 жыл бұрын

Thank you so much! Jason, MathAndScience.com

I was wondering my whole life why was i sqr = -1 thank u so much

why do you put " [ " after equal sign?

so, spirit number is also real ?

The reason you have to invent imaginary numbers to do these calculations is because all numbers are technically positive. When you have a negative number, it's in reference to wherever your starting point is before you start subtracting. All numbers are positive in reference to an absolute zero though. The celsius and kelvin temperature scales would be a good illustration of this.

@volition5278

2 жыл бұрын

In the potatoes and strawberries example you gave, yes you can have that imaginary number of them, it's just relative to what you started with, and you're representing the difference as a negative number with the initial quantity as the arbitrary starting point, or zero. So say you have 500 strawberries, and you assign that as zero, then subtract 50, you express that as negative 50 even though you have 450. The reason this would be useful to do rather than just assign zero strawberries as your zero, is when you don't know what zero is because you don't know how many or much of something you have.

@volition5278

2 жыл бұрын

This is my first time encountering this concept, but just like negative numbers, "i" is really just an accounting tool. It's a placeholder to let you know where you came from so you can keep track of it. At some point it will resolve itself, either when reality destroys it, or when the thing you're accounting for is satisfied.

Imaginary numbers are like the fourth dimension. Hard to imagine, but necessary to explain things.

you are saying sine(x) . are you talking angle x in radians?

Brilliant - 30 years after I first learned about imaginary numbers, I finally get it.

Who invented negative numbers? The TAX MAN

Nice sir

GRACIAS MIL POR LA EXPOSICION...SALUDOS DESDE KITU-ECUADOR

Where was this guy when I was in advanced math classes?

@MathAndScience

4 жыл бұрын

Thank you!

Very good explanation. I do have a nit with your decimal expansion of square root of 2 at minute 37:59. It should be 1.414213... Having memorized this long ago, I kinda cringed. You left out the 2nd "4" digit.

thank you

@MathAndScience

2 жыл бұрын

Welcome!

This is the “doorway” between exists and non-existence? Like thoughts being a most primitive form of existence?

Ha ha…thank you for the “secret sauce” knowledge!

Sir, you thought imaginary numbers in a way that a 9th grade student can understand :)❤

what is I to the power -38

@hievey1369

2 жыл бұрын

I'm late but it's -1, I think