Mathematics – Multivariable Calculus – Lecture 20
Multivariable Calculus Instructor: Edward Frenkel Course website: http://math.berkeley.edu/~frenkel.
Video Rating: 4 / 5
Complex numbers Mathematician Adrien Douady explains complex numbers. The square root of negative numbers made easy! Transforming the plane, deforming images, creating fractal images…
Video Rating: 4 / 5
topics L. 20 :
1. Greens Theorem in two dimensions.
2. Greens Theorem as an extension to the Fundamental Theorem of Line
Integrals.
3. Differential forms and line integrals of f.
which lecture number does he describe taking limits of multivariable
functions !? Implementing the Two Path Test ?
I think a young professor like him would know what students need these
days. He’s pretty good compared to all my math professors because all they
did was copying off their paragraph notes. Btw, I attend another UC.
you lost me in the first 5 minutes of this lecture. i may have missed a few
vids before this one.
we say the union of C_1 and C_2 coz they are sets not numbers. I did not
understand the justification for orientation.
If you have a technical degree from a 4-year university, I can see how
these students’ questions seem a little elementary. However, these are the
questions students are afraid to ask b/c they don’t want to appear dumb.
Good for the students for asking them and the professor for patiently
answering them.
boring!!!
nice accent
What a super smexy professor 🙂
Un Profesor del MIT joven? wuauuuuuu debe ser un ñiño genio o el mejor
egresado del MIT, pero muy interesante su clase. Saludos.
Green’s Theorem and Green’s Theorem compared & contrasted with the
Fundamental Theorem of Line Integrals are discussed. Differential forms and
line integrals of f with respect to arc length are alluded to as well.
First of all, he is a great prof and I have been watching all of his
lectures up to this point. However, he was too quick to teach Green’s
theorem without providing enough motivation for it. I am sure he is well
aware of this fact. Many of his students are clearly having difficulties
understanding this material because they have never asked this many
questions in the past. This is not an easy course to teach and he does an
excellent job for the most part.
dot com
‘Themis Theotokatos’ No you can only have a real number of stuff, that’s
why complex numbers are sometimes called ‘imaginary numbers’ and where once
called ‘impossible numbers’, because you can’t be i feet above sea level
and you can’t eat I pizzas, they’re a different type of number altogether
one that doesn’t represent ‘quantity’ in the usual sense.
i want more and i want longer videos !!!
i 13:42 minutes i learned more than in 4 years of high school
A VERY good introduction to complex numbers, however –
the music in the background is INFURIATING!!!!!!! (and I say that as a
musician)
,but WORSE than that – you go and spoil the video by leaping into a
discussion about projective sphere or whatever it was – which is a quantum
leap from the level of discussion prior to that. Why ? Was it just to
show off your specialist knowledge of the subject ? sorry – but that
last part spoilt the whole thing
4:34 and that choice is totally arbitrary… just to form a new base. Math
is, sometimes, just workarounds
This is gold…respect sir!
Where can I find an interactive complex plane?
Let me put the question this way, I have i number of things? or 5+2i things?
The music is a little too… calming, but it is a good video 🙂
So with imaginary numbers we measure quantity in a different dimension? Or
its only directional ?
very good!
The animation was very very good. Well done sir.
How beautiful.
Oh, you are so refined.
5+2i things 🙂