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Dr Gatsis Explains Math
Canada
เข้าร่วมเมื่อ 20 มี.ค. 2020
Professor. Aerospace Eng. Ph.D. (Univ. of Toronto, Eng. Sci.)
Paying the good teaching I had over the years forward. Hoping that my experience and love for STEM passes on to you ✈️
If you have questions, I don't mind answering them with a video/short. We'll likely be helping someone else, too!
Paying the good teaching I had over the years forward. Hoping that my experience and love for STEM passes on to you ✈️
If you have questions, I don't mind answering them with a video/short. We'll likely be helping someone else, too!
Partial Derivatives, First (#MultivariableCalculus)
Partial Derivatives, First (#MultivariableCalculus)
มุมมอง: 201
วีดีโอ
#Related #Rates (#Derivatives Application)
มุมมอง 87ปีที่แล้ว
#Related #Rates (#Derivatives Application)
#Inverse #Trigonometric #Functions (#Derivatives)
มุมมอง 93ปีที่แล้ว
#Inverse #Trigonometric #Functions (#Derivatives)
#Logarithmic #Implicit #Differentiation (#Derivatives)
มุมมอง 112ปีที่แล้ว
#Logarithmic #Implicit #Differentiation (#Derivatives)
Wayne Gretzky | 1980s OPC and Topps Hockey Card Collection
มุมมอง 909ปีที่แล้ว
Wayne Gretzky | 1980s OPC and Topps Hockey Card Collection
#Implicit #Differentiation (#Derivatives)
มุมมอง 163ปีที่แล้ว
#Implicit #Differentiation (#Derivatives)
#Hyperbolic #Trigonometric #Functions (#Derivatives)
มุมมอง 1172 ปีที่แล้ว
#Hyperbolic #Trigonometric #Functions (#Derivatives)
#Trigonometric #Functions (#Derivatives)
มุมมอง 1132 ปีที่แล้ว
#Trigonometric #Functions (#Derivatives)
#Chain #Rule & #Formal #Leibniz #Notation (#Derivatives) dy/dx dydx
มุมมอง 3012 ปีที่แล้ว
#Chain #Rule & #Formal #Leibniz #Notation (#Derivatives) dy/dx dydx
Integrals w/ Rational (Fractional) Powers (Tougher Power Rule)
มุมมอง 2272 ปีที่แล้ว
Integrals w/ Rational (Fractional) Powers (Tougher Power Rule)
Integrals w/ Negative Powers (Tougher Power Rule)
มุมมอง 8192 ปีที่แล้ว
Integrals w/ Negative Powers (Tougher Power Rule)
Doing math in a union welding school this was a big help.😁
I'm happy to hear that! Best wishes with your studies!
please how did u get the final answer,i did not get same
Are you ok with the 7 inches part? If it's the fraction part then think of if 0.212 is closer to 3/16 or 4/16. You can do that instead of multiplying by 16/16 like I have done.
Jesus loves you man thank you so much. I hope you find Jesus if you haven’t because we all need Him! Much love!
Much love
U actually know how to teach thank you so much
You're most welcome! The best reward for teaching is comments like yours. Best wishes:)
last 4 questions gave me brain cancer
Oh damn!
@@drgatsis but, I watched the rest of the factoring videos to help me with my unit test tomorrow and understood it all thank u 👌
@@33hanaan67haha :) ok that's a lot more comforting to hear!
This was helpful for my waves test. Thank you
Thank you Peter!
Great video!
@@intfxdx thanks!
12q+33-9
12q+33q-9
Thx 😊
Jeff!!!
@drgatsis I wanna play ball hockey
:( i wish i could get you in it's a new organizer and lots of regulars
This helps
Great video
Thank you, I'll make more formula videos from physics
Nice vid
Thank you!
Us teachers are thankful for your videos! Explaining math is hard!
TYSM :)
wrong 1 inch = 2.54cm exactly the inch has been redefined by ISO
Noted thanks
🙄
Nice
unique
cool!
Yep! Weird seeing the variables in orders of the roots, but nice how it works out smoothly by the end :)
Very easy and fun way to understand
Thank you! I'm happy you enjoyed it! :)
❤
❤️
It can also be done like 2^6x+4 = 2^6
Yes! I love the powers of 2. :)
Math short? Yes!!
Win!
If you're a programmer, especially a low level programmer, you're probably very familiar with power of 2. 64=2^6 16=2^4 and so on. So you'd probably go straight to base 2 rather than base 4 without thinking.
Great point! Funny you say that. That's what I did as a kid and when I started coding I was good up to 2^20. I tell my students one of the most low key skills is knowing powers of 2, 3, and 5 right after you're done with times tables as a kid. :)
Google 😂
You heard about how Google got it's name?!
8' 7 11/32"
Nice play
Nice
Ty
Lots more in this playlist: th-cam.com/play/PL47bFf8RPr0xv7XDF5SPMCWgyLW_aOXiW.html&si=KBDDFTmn0UYxFSxL
Lots more in this playlist: th-cam.com/play/PL47bFf8RPr0xv7XDF5SPMCWgyLW_aOXiW.html&si=KBDDFTmn0UYxFSxL
Lots more in this playlist: th-cam.com/play/PL47bFf8RPr0xv7XDF5SPMCWgyLW_aOXiW.html&si=KBDDFTmn0UYxFSxL
Lots more in this playlist: th-cam.com/play/PL47bFf8RPr0xv7XDF5SPMCWgyLW_aOXiW.html&si=KBDDFTmn0UYxFSxL
th-cam.com/play/PL47bFf8RPr0xv7XDF5SPMCWgyLW_aOXiW.html&si=KBDDFTmn0UYxFSxL
🎉
💪
Thank you
You're most welcome!
Its all about the base
Indeed in so many ways!
X=3/4
Yep!
0.75
This is a good explanation and in this case it works nicely without a problem, but in some cases, we should be very careful when removing the logarithms on both side of the equation to not lose the equivalence and end up with a false solution to the initial equation. Take, for example, a slightly modified version of this equation: log x / log(0.5x-3) = 1 log x = log(0.5x-3) x = 0.5x-3 AND x>0 AND 0.5x-3>0 0.5x = -3 AND x>0 AND x>6 x = -6 AND x>0 AND x>6 -6 > 6 AND -6 > 0 are both False The only solution we found does not satisfy any of the conditions for the logarithm domain, thus, there is no solution to the initial equation. Always check the domain when manipulating logarithms.
Excellent point. One of the reasons I get into this in class. Tough to do in a short! Best wishes :)
@@drgatsis next time i would suggest just saying at then end smth like, you should also check the log is not of a -ve number, which is true in this case, just to acknowledge that fact. or pop up text explaining that if there's no time to say those few words
@@notohkae Thanks for the great advice. It works well when they are watched in sequence. I do most of the shorts editing on my phone. Pop up text is a great idea :)
@@notohkae So I can't put the pop up after the fact; ended up modifying the description. Apparently youtube is going to longer-format shorts which means I can describe the domain too :)
Thanks
You're most welcome :) I have many shorts on logarithms to build you up from the basics to test level
Thank you this helped a lot
You're most welcome Peter. I appreciate your supporting the channel. It means a lot to me
It can be easier to picture log4(x)=3 as 4³
I'm just happy when students get it :)
@@drgatsis Thanks bro
@@BloxxterT You're most welcome 👊If you filter logarithm in my shorts I have many and I have a lesson that I teach as a professor Math1151 Logarithms too...
yes i understand
I'm glad! Nice work
Thanks
You're most welcome
@@drgatsis using the power rule to bring the 2 to the front would result in the -10 solution being lost... I see why you solved the equation this way
@@intfxdx yep that's right!
Nice
cool
Thanks :)
You also could have factored into (x^4-x^2-4x^2+4)=0 This can factor into x^2(x^2-1)-4(x^2-1)=0 Factoring out the common factor, you get: (X^2-4)(x^2-1)=0 Set each factor to zero and solve for x on each.
@1234larry1 good call Larry! I should link it to my longer format grouping lesson :)
Hey John ... question -3² = ?
Hi Jeffrey :) so -3^2 is -9 since the square does not apply to the negative. if you had (-3)^2, then the answer would be 9 since it's (-3)(-3). Hope that sorts it out
@@drgatsis thx I had it as +9 good thin that wasn't on the exam lol
@@drgatsis what about ball hockey I wanna play
@@jeffyarlett5791 all good!
@@jeffyarlett5791 New guy is running it. It's currently full though
Ty
Very helpful!!
Thanks Daniel
If you have other questions/problems to solve, let me know!
Took half a second to get 9😎
Definitely! Me too if I was doing it for just myself :) well played
Thanks ! I had many doubts in logarithms now most of them are cleared
Glad that it helped! I have a whole playlist on exp and log shorts. If you can do those then all knowledge questions are pretty much handled!
1
Can't wait to start learning about logarithms In school. I'm in algebra 2, so it'll probably be later this year, but I'll probably look it up and teach myself a bit before then.
I'm glad! I have a playlist on shorts and a lecture where I go from the basics with a workbook. Look for math1151 logarithms on my playlists