Growth Rate and Log Graphs

  Рет қаралды 79,455

MIT OpenCourseWare

MIT OpenCourseWare

Күн бұрын

Пікірлер: 44
@skoolwal3874
@skoolwal3874 10 жыл бұрын
I came to highlights of calculus playlist to revise my calculus knowledge but I have learned a lot more, especially how to think logically about the maths problems. Thank you professor Strang and MIT. I am forever indebted to you!!
@akistsili8574
@akistsili8574 4 жыл бұрын
RESPECT and only RESPECT for this professor. I have started to watch these videos in order to make a concluded revision on calculus... and suddenly I understand that I have had no intuition about what really happens. Congratulation Gilbert Strang and MIT too.
@curtishill7948
@curtishill7948 7 жыл бұрын
These are just wonderful. I have a bs in math but after spending ~40 years in the software industry I am tutoring math for a living. These videos have filled in the huge gaps 40 years created.
@sushantvaidik
@sushantvaidik 8 жыл бұрын
This is the best lecture I've ever seen explaining the concept of logarithm in graph! How I wish this man taught econometrics too
@andrapopa284
@andrapopa284 3 жыл бұрын
This video is clarifying all sorts of annoying opacities that I've accumulated in my understanding of math, I'm so grateful, thank you professor!
@georgesadler7830
@georgesadler7830 3 жыл бұрын
DR. Strang and MIT thank you both for another great lecture on logarithm and it's graph. My knowledge of calculus continue to increase with time.
@ashkantaba
@ashkantaba 11 жыл бұрын
I thinks the point is how he is simplifying the concepts not the calculations, Thanks for giving us that deep understanding.
@jagdipkaur2010
@jagdipkaur2010 3 жыл бұрын
This video clear all doubts related with logarithm, exponential. Very well explained all content by using scale and in graphics forms . Thanks to Prof.Strang.
@franksheng4173
@franksheng4173 7 жыл бұрын
"If we took the logarithm of the national debt, it wouldn't look too serious." LOL...Thank you Prof. Strang
@davecrupel2817
@davecrupel2817 4 жыл бұрын
Cheers, Professor Strang! Thank you, sir!
@MsClark2009
@MsClark2009 11 жыл бұрын
thank you so much. My final is today. GOD BLESS YOU!!!!
@stephenboing
@stephenboing 11 жыл бұрын
This guy is a human calculator, humbled to be sure.
@thearchitect27
@thearchitect27 7 жыл бұрын
China may have the Tianhe-2 as its fastest supercomputer, but America has Dr. Gilbert Strang as our fastest supercomputer! LOL
@jojojo6937
@jojojo6937 2 жыл бұрын
fun fact: my university expect knowing that but did not learn that to students. I assume some do not understand it to explain it. finally I found a sensei
@hariniranjan9134
@hariniranjan9134 9 жыл бұрын
At 26:12 Can somebody please explain to me how the difference between dy/dx (instantaneous rate of change) & [delta(y)]/[delta(x)](average rate of change) comes out to be A([delta(x)]^n, thanks
@xiaohongdeng825
@xiaohongdeng825 8 жыл бұрын
hari niranjan I have the same problem
@LayZeeDK
@LayZeeDK 13 жыл бұрын
Really helpful. Professor Strang seems to be great at tutoring :)
@실버벨-f8i
@실버벨-f8i Жыл бұрын
My question starts from why Magnitude frequency response in Bode Plot represents by log-log plots and I found the answer here. It makes the response linear in the plot with approximation.
@haslan4885
@haslan4885 5 жыл бұрын
this lecture answered *a lot* of questions I had
@ahmedatifabrar7698
@ahmedatifabrar7698 Жыл бұрын
How to watch any Gilbert Strang lecture: 1. Tap the Like button first. 2. Play it.
@RH-oz7oc
@RH-oz7oc 4 жыл бұрын
Sorry to ask... 4:57 But can someone explain to me why x to the x over the e to the x equals factorial ???? I am lost...
@devilinthedetails3751
@devilinthedetails3751 4 жыл бұрын
you'll find the definition for exp(x) listed in this video from Professor Strang (kzbin.info/www/bejne/paCUi42iq7llgrM ) which can be repurposed to fit the above description.
@asdfafafdasfasdfs
@asdfafafdasfasdfs Жыл бұрын
I don't understand the context of the part with error E, when do we need to know the difference of derivative and average slope and why is it considered an error?
@longdragon3
@longdragon3 11 жыл бұрын
outstanding!
@CatsBirds2010
@CatsBirds2010 7 жыл бұрын
Awesome!
@alifattahi6567
@alifattahi6567 2 жыл бұрын
Thank you
@aistobe
@aistobe 9 жыл бұрын
It's a plot spoiler to 4 years of university maths.
@aladdinkayqubad1645
@aladdinkayqubad1645 9 жыл бұрын
+aistobe ahhh Brit kids... Maths lol, call it math boy
@murtazahaji1291
@murtazahaji1291 7 жыл бұрын
how does 2^(10^3) = 10^300???
@medooconnection
@medooconnection 6 жыл бұрын
Murtaza Haj 2^(10)=1024. Say approx 10^3. Then 2^(10^3) approx 10^300
@robdeskrd
@robdeskrd 3 жыл бұрын
Mr. Haji Equasions work under an operational ordining, an acronym for the order is P.E.MD.AS. Actions within (parentheses) are resolve before actions outside of them, then exponents, multiplication or division from right to left, followed by addition or subtraction from right to left. Mathematical formulas aren't meant to be read like written words- written words opertate 2 dimensionally, along 1 vertical + 1 horizontal axis and are read either L to R then down or R to L then down. The only function is addition, words add up to sentences. Mathematical formulas by following the ordining operate 3 dimensionally by providing a plateaud depth axis to resolve stacked operations Parentheses is the top layer, Exponents are the next layer under, Multiplication and or division from L to R is the next layer under, Addition and or subtraction from L to R is the bottom layer.
@vvsiva007
@vvsiva007 6 жыл бұрын
I am trying to manage my mortgage at log scale :)
@sppss914
@sppss914 4 жыл бұрын
I miss the times when we can have professors like him. Nowadays, professors are like you students are all fkn sheep, and we don't care about you, we use you.
@ep9196
@ep9196 4 жыл бұрын
"The Graph has gone into a Black Hole or a Chalk Hole or White Hole or Something"
@swavekbu4959
@swavekbu4959 3 жыл бұрын
"The national debt is in this range . . ." ah, the good old days of 2010 when the debt was actually "under control." :-)
@Amine-gz7gq
@Amine-gz7gq Жыл бұрын
from halfway through the video, it's no longer very clear, the teacher should have expressed his intention better
@christophersandmann
@christophersandmann 4 жыл бұрын
yo, dude ain't looking at his notes.
@grinishkin
@grinishkin 3 жыл бұрын
Now I see why the US has to buy skilled mathematicians in other countries
@mitocw
@mitocw 3 жыл бұрын
A separate resource that Gil Strang made to help anyone in the world understand calculus... is why US has to buy skilled mathematicians in other countries?
@grinishkin
@grinishkin 3 жыл бұрын
@@mitocw I'm not saying he's bad. It's just a very basic level. To grow up true professionals, one need to go much deeper and harder
@mitocw
@mitocw 3 жыл бұрын
It's designed that way. This is not a course at MIT, this is a video series specifically produced to help anyone in the world that might have problems understanding calculus. For an idea of some of the courses at MIT, see ocw.mit.edu/courses/find-by-topic/#cat=mathematics.
@suchalooser1175
@suchalooser1175 4 жыл бұрын
Our national dept is in this range😂😂😂
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