Growth Rate and Log Graphs Instructor: Gilbert Strang ocw.mit.edu/hig... License: Creative Commons BY-NC-SA More information at ocw.mit.edu/terms More courses at ocw.mit.edu
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!!
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.
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.
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.
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
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.
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
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?
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.
you'll find the definition for exp(x) listed in this video from Professor Strang (ua-cam.com/video/oo1ZZlvT2LQ/v-deo.html ) which can be repurposed to fit the above description.
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.
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?
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.
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!!
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.
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.
This is the best lecture I've ever seen explaining the concept of logarithm in graph! How I wish this man taught econometrics too
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!
"If we took the logarithm of the national debt, it wouldn't look too serious." LOL...Thank you Prof. Strang
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.
How to watch any Gilbert Strang lecture:
1. Tap the Like button first.
2. Play it.
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.
I thinks the point is how he is simplifying the concepts not the calculations, Thanks for giving us that deep understanding.
This guy is a human calculator, humbled to be sure.
Cheers, Professor Strang!
Thank you, sir!
China may have the Tianhe-2 as its fastest supercomputer, but America has Dr. Gilbert Strang as our fastest supercomputer! LOL
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
thank you so much. My final is today. GOD BLESS YOU!!!!
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.
this lecture answered *a lot* of questions I had
Really helpful. Professor Strang seems to be great at tutoring :)
outstanding!
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
hari niranjan I have the same problem
It's a plot spoiler to 4 years of university maths.
+aistobe ahhh Brit kids... Maths lol, call it math boy
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?
Thank you
Awesome!
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.
I am trying to manage my mortgage at log scale :)
"The national debt is in this range . . ." ah, the good old days of 2010 when the debt was actually "under control." :-)
"The Graph has gone into a Black Hole or a Chalk Hole or White Hole or Something"
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...
you'll find the definition for exp(x) listed in this video from Professor Strang (ua-cam.com/video/oo1ZZlvT2LQ/v-deo.html ) which can be repurposed to fit the above description.
Our national dept is in this range😂😂😂
how does 2^(10^3) = 10^300???
Murtaza Haj 2^(10)=1024. Say approx 10^3. Then 2^(10^3) approx 10^300
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.
from halfway through the video, it's no longer very clear, the teacher should have expressed his intention better
yo, dude ain't looking at his notes.
Now I see why the US has to buy skilled mathematicians in other countries
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?
@@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
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.