15 - Complex Numbers & the Complex Plane

  Рет қаралды 56,385

Math and Science

Math and Science

5 жыл бұрын

View more at www.MathTutorDVD.com.
In this lesson, we will move beyond imaginary numbers and discuss the concept of a complex number. Complex numbers consist of a real part added to an imaginary part. The real part can be plotted on a number line, and the imaginary part can be plotted on another number line only for imaginary numbers. Together, the complex numbers can be plotted in the complex plane which we will discuss in this lesson.

Пікірлер: 50
@dorothymarfleet5699
@dorothymarfleet5699 4 жыл бұрын
Not only is Jason a brilliant mathematician but about the best teacher I have ever seen on video
@MsMajore
@MsMajore 3 жыл бұрын
I agree. I feel as if I am actually sitting in a classroom.
@josevillarroel3016
@josevillarroel3016 3 жыл бұрын
Right up there with Eddie Woo
@gucciashton4731
@gucciashton4731 2 жыл бұрын
He isn't a mathemetician, he is an engineer, so it's quite fab he knows so much about mathematics.
@Until835
@Until835 Ай бұрын
​@@MsMajoreare you mathematician??
@jasonmarx9715
@jasonmarx9715 3 жыл бұрын
For real, I always search for your channel whenever I'm going to start with a new topic because you clearly explain every single corner.
@MathAndScience
@MathAndScience 3 жыл бұрын
Thank you so much!
@jasonmarx9715
@jasonmarx9715 3 жыл бұрын
By the way, what is your official name, if I may ask?
@tallswede80
@tallswede80 3 жыл бұрын
@@jasonmarx9715 visit his website it has all the information
@Until835
@Until835 Ай бұрын
​@@MathAndSciencewe love you teacher you did all the best to us .... May God bless you all the time 🙏
@joydeepsingh9113
@joydeepsingh9113 14 күн бұрын
Best video on the subject. Superlative.
@wwhsiung7759
@wwhsiung7759 7 ай бұрын
Complex number can be used to calculate the field of electromagnetic wave strength. This course is Good for EE degree candidate.
@khaleddamha3127
@khaleddamha3127 2 жыл бұрын
You're the best ,,, God bless you.
@MathAndScience
@MathAndScience 2 жыл бұрын
Thank you!
@ranjitkar3151
@ranjitkar3151 3 ай бұрын
Thank you sir very helpful lecture🎉
@kevinjones238
@kevinjones238 Жыл бұрын
Man, you are an amazing teacher!!!
@bakytstndv1574
@bakytstndv1574 Жыл бұрын
Thank you for your videos.
@restlessheartonhold
@restlessheartonhold 2 жыл бұрын
Thanks so much. You have made my mathematical world clearer. Excellent explaining. You're 1 of the best. Had I had you for my teacher, I would have been extremely delighted & successful in math. Thank you kindly 👍🏽🙏🏼
@saltycoins8835
@saltycoins8835 3 жыл бұрын
youre a legend sir, thank you for all of your videos
@tresajessygeorge210
@tresajessygeorge210 Жыл бұрын
THANK YOU... SIR...!!!
@user-uh1gz9by7u
@user-uh1gz9by7u 3 ай бұрын
Thanks sir Jason
@jaeltrans2011
@jaeltrans2011 Жыл бұрын
Great explanation!! Thank you!!
@tictoc5443
@tictoc5443 2 жыл бұрын
Such a passion for the subject Thankyou
@brightonomwasi5629
@brightonomwasi5629 2 жыл бұрын
Thanks allot for the knowledge 🤗
@luyombojonathan7715
@luyombojonathan7715 2 жыл бұрын
Great lesson !!! Thanks alot
@MathsAroundUs
@MathsAroundUs 3 жыл бұрын
amazing videos sir.
@aramroshani6197
@aramroshani6197 3 жыл бұрын
Thanks for this excellent course but i have a question can we apply the complex numbers in 3 demesional shapes like as sphere (X^2 + Y^2 + Z^2 =R^2).
@mnia8917
@mnia8917 9 ай бұрын
thanks a lot . good luck
@mhmdb2479
@mhmdb2479 2 жыл бұрын
Really nice illustrate
@honestman276
@honestman276 2 жыл бұрын
Thanks. From Bangladesh.
@believekingsley
@believekingsley Жыл бұрын
Good teacher
@jobvida
@jobvida Ай бұрын
why did you plot the imaginary numbers in a vertical line and not in any slope or angle?
@aliabdulqader3208
@aliabdulqader3208 3 жыл бұрын
Thx 😌 💕
@pelasgeuspelasgeus4634
@pelasgeuspelasgeus4634 8 ай бұрын
Can you explain why the imaginary axis unit is depicted to have same length with the real axis unit?
@gonsz4390
@gonsz4390 2 жыл бұрын
tksm
@guidofeliz8384
@guidofeliz8384 5 жыл бұрын
Jason, What is your ultimate goal with making math videos? If you love teaching math, why didn't you become a math teacher? Just curious....
@shamsulmah9810
@shamsulmah9810 3 жыл бұрын
why we don't use i with imaginary part in order pair
@MohammadAlshahrani
@MohammadAlshahrani 5 жыл бұрын
Good job, Try to get rid of shadows on your white board by using professional lights.
@pelasgeuspelasgeus4634
@pelasgeuspelasgeus4634 7 ай бұрын
(1) the definition of a complex number contradicts to the laws of formal logic, because this definition is the union of two contradictory concepts: the concept of a real number and the concept of a non-real (imaginary) number - an image. The concepts of a real number and a non-real (imaginary) number are in logical relation of contradiction: the essential feature of one concept completely negates the essential feature of another concept. These concepts have no common feature (i.e. these concepts have nothing in common with each other), therefore one cannot compare these concepts with each other. Consequently, the concepts of a real number and a non-real (imaginary) number cannot be united and contained in the definition of a complex number. The concept of a complex number is a gross formal-logical error; (2) the real part of a complex number is the result of a measurement. But the non-real (imaginary) part of a complex number is not the result of a measurement. The non-real (imaginary) part is a meaningless symbol, because the mathematical (quantitative) operation of multiplication of a real number by a meaningless symbol is a meaningless operation. This means that the theory of complex number is not a correct method of calculation. Consequently, mathematical (quantitative) operations on meaningless symbols are a gross formal-logical error; (3) a complex number cannot be represented (interpreted) in the Cartesian geometric coordinate system, because the Cartesian coordinate system is a system of two identical scales (rulers). The standard geometric representation (interpretation) of a complex number leads to the logical contradictions if the scales (rulers) are not identical. This means that the scale of non-real (imaginary) numbers cannot exist in the Cartesian geometric coordinate system. Consequently, the theory of complex numbers and the use of the theory of complex numbers in mathematics and physics (electromagnetism and electrical engineering, fluid dynamics, quantum mechanics, relativity) represent a gross methodological error and lead to gross errors in mathematics and physics.
@abubakarkunjumohamed2325
@abubakarkunjumohamed2325 2 жыл бұрын
Why dont we put a comma (3,i)
@jawaharramukkannan4689
@jawaharramukkannan4689 Жыл бұрын
Wowww
@omarabed8862
@omarabed8862 2 жыл бұрын
Write .....
@zophiaandhannachannel7107
@zophiaandhannachannel7107 3 жыл бұрын
안녕하세요
@jobvida
@jobvida 3 жыл бұрын
do you mean zero is not pure real number?
@Until835
@Until835 Ай бұрын
Zero is Pure Real Number ..... because is the irrational ,,, we say irrational number are all numbers including Zero, may either be negative or positive. But all negatives are not Whole Real numbers 😅. Thank u🙏🙏🙏
@evgeniyaflowing9154
@evgeniyaflowing9154 4 жыл бұрын
Can anybody explain to me please how 0 is a real number if real numbers are those that fit the formula a+bi where a is not equal to 0 and b=0. But we can only get 0 if a=0 in this formula
@mufakkirhussain2816
@mufakkirhussain2816 3 жыл бұрын
0 is real number because it's not an imaginary number. Everything is real numbers except √-1 which (i).
@zophiaandhannachannel7107
@zophiaandhannachannel7107 3 жыл бұрын
Привет
@zophiaandhannachannel7107
@zophiaandhannachannel7107 3 жыл бұрын
Tôi là của bạn
@sumitbhoi4070
@sumitbhoi4070 2 жыл бұрын
.
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