You are actually one of the very few professors that actually EXPLAIN what this math talk means. By that, I mean "if f is continuous on the closed interval [a,b], f(a) != f(b)... etc" You actually explain what that means in plain English, and most importantly visualize it in a really simplified way. None of my professors do this. THANK YOU!
Thanks for taking the time to seek outside help and choose this channel to study with and I'm happy to hear you found it so helpful! Please share your experience and this channel as an after class study reference with your professor so ALL current and future students know where to find help if they need it...BAM!!!
Thanks for choosing and giving my channel a chance to teach you what I know:) I have been teaching high school math for 18 years and I'm lucky enough to still love what I do and now to be able to share that passion with the world! Thanks for making me the star on your subscriber page and I hope you will enjoy the rest of your learning experience from Tarrou's Chalk Talk...and if you do, please tell others about it...that's how I groW!
I hope at least that it was a rainy day so you did not miss a beautiful weekend day spent with your family:( I know what you mean Shane...I'm teaching AP Calculus for the first time this year in the classroom and pretty much since summer started I feel like I eat, breath, think Calculus! Not to mention, having 4 preps this year again at school and two of them AP...lots of work involved and then to squeeze in new videos is overwhelming at times!...but people like you always remind me why!!!
It's funny coming across your video having graduated from SPHS in 2010. I never had you as a professor, but I remember seeing you in the hallways. I'm taking intro to advanced calculus / real analysis and the professor refers to the IVT occassionaly while writing proofs, but never really went over it. Anyways, thx for the video!
Thank God I found your channel, now i am finally to start to understand calculus! Your way of teaching fits my way of learning! I will start to get the word out to friends of mine that are also struggling in calc. This is also helping in my calculus based physics class! I hope your channel is a success.
Thanks for watching, learning, commenting and sharing pipe7731 ! I'm happy to hear that my channel has been so helpful to you for multiple classes too. As you share my channel please remind everyone how important it is to my channel growth for them to like, SUBSCRIBE, support the ads, share thru social media and with friends, classmates and teachers...that's how "you" can help make it successful:D
Well I will take that as quite the compliment and accomplishment! My wife and I are working very hard to groW my channel, and our "dream" is to someday pass the # of subscribers on his channel:) Thanks for supporting by watching and subscribing and putting us one # closer:) Please share with your friends and fellow classmates too, we really appreciate your efforts!!!
I have been listening to you all day my friend. I almost feel related to you now. Thanks for your great help. I would also like to add; Sir Isaac Newton, and Gottfried Wilhelm Leibniz are both lucky I dont have a time machine!! I would go back and beat the Idea of calc out of both of them! Have a great morning sir. BAMM, I JUST FINISHED TODAY'S HOMEWORK!!!! TIME FOR BED!
Ohh this stuff is so good I am so spreading this to all my calculus buddies thank you so very much for you time and hard work of putting these together. You make calculus so entertaining and fun. I will be watching your videos for the rest of the year. Thank you so very much again.
I'll might be a legend if I ever get a million subscribers but until then please sub and share the love with everyone to help us keep growing and maybe someday...BAM!!! we'll have that gold play button:)
just a tip before you erase any notes on the board or switch scene you should step out of the way so that viewers can take screen shot of the notes that would be freaking great
wow you seriously could not make a better video explaining the ivt than this. Even just explaining one example made me very confident about solving problems and that is something. Heck you even made this seem easy! And this is calculus.
Nice to hear that you found this lesson so helpful! Now please help us keep sharing this free channel by liking, subbing, supporting the ads and sharing is with everyone...friends, classmates and teachers too:D THANKS!!!
BAM!!!! That's what I call a "TOTALLY AWESOME SUPPORTER!!!" If all my viewers were like you Andrew I would have a "M" next to my subscriber count by now:) THANK YOU, Thank You, thank you… I've had many subscribers tell me that they started a study group and all watched and worked on homework together once a week and found it to be very helpful…just a thought:D
omg you are really well at teaching..I was actually going to spend lot of money on tutoring because i was freaking out. Your videos have helped so much especially when my exam is one day away. Thank you so much..i learned alot just watching all these videos. You cover great questions from easy to difficult. I really please all the time you have spend time making all these.. You make all this so entertaining. I am actually watching all your videos at 3 am at night.hopefully i pass my calculus finals.. i have been ignoring studying cause i did good on the first 2 exams but when i looked at the final exam things to know i was really lost..but thank you for all the videos.
WOW…what a compliment! I'm glad you found my videos so helpful and I hope you go into that exam with your new found confidence and get that "A" you deserve! Feel free to "Tip the Teacher" on my homepage with that money you were going to spend on tutoring…lol Thanks for choosing my channel to watch and learn from and subscribe to…now go tell the rest of your school where to find good FREE math help on TH-cam:D
My book does not use that vocabulary. I had to look up "jump discontinuity", it means the same thing as a non-removable discontinuity. Thanks for watching. I am going to go add a new key word in my videos description now:)
ProfRobBob, can you give the proof of The Intermediate Value Theorem, Rolle's Theorem, Mean Value Theorem for Derivative ? I want it for my scription in collage. I hope you can do.
Hello Prof. The first time I couldn't find a video in your series for one of our calc sections which is epsilon/delta definition. can you help find it please! I am really struggling with the concept of it. It will be really appreciated.
I am so sorry that I don't have the lesson your are looking for yet. Last year was the first time I taught AP Calc AB and the delta epsilon proofs were not on my classes topic list. I remembered how hard they were to understand after having about 20 years to forget my calculus. I wish I could be more helpful:(
Mr. Tarrou, why is it that some definitions of the IVT has c contained within a closed interval whereas others have c contained within an open interval?
You're welcome Julieta Ayala and thanks for watching, learning and taking the time to appreciate my writing:) If you need a break from math I have a few videos teaching my cursive writing style too...BAM!!! ....don't forget to like, sub and share my channel to help us keep growing:D
Yousef Fattal just type the word "cursive" in the magnifying glass and you will find them on my channel or on my website, I even have a practice sheet you can print out at: www.profrobbob.com (and some printable flyers so you could advertise my channel at your school:) lol
I have this question and I don't understand what the teacher is asking. It is on this topic. 3. Show that the function f(x) = x^3 + 3x + 1 has at least one input that makes f(x) positive, and one input that makes f(x) negative.
THANK YOU!! MAY THE LORD SHINE UPON YOU WITH LOVE!! I FINALLY GOT THIS!! THANK YOU!!! I mean it...my trig teacher doesn't explain anything to us!! Makes us learn by ourselves and gets mad when we don't understand the work she gave us (aka hw)
BAM!!! Glad to hear you finally "Got it" Isis Perez ! Thanks for choosing my channel to watch and learn from and I hope you will share it with the rest of your class and even with your teacher as an "after school" additional study reference...and remind everyone to like, subscribe and spread the word to help my channel groW and help other students like you:D Help keep free educational channels FREE $
ProfRobBob HAHAHA no problem..man I wish I had your classes.....I would learn so much better!! I have a fail for her class and I just I stress over it because I dont want to retake trig..I need to pass....SO Thank you!! Because I know this will be on the test coming up later and I want to pass this class with at least a C!!!! I think I will keep on watching your videos on your channel so I could learn more!!! THANK YOU ONCE AGAIN!!!! :)
Yeah, definitely. My friend loves Khan Academy and he's always pushing me to watch his videos which I do lackadaisically. But, I found your channel and I think you're really fun.
Aditi Rai thank you for noticing and for sharing for me :) I chose to teach in full lessons since there were so many other channels doing short "answer only" videos...I eventually added time stamps as my videos got longer but there are still some students who don't like the length:( Thanks for taking the time to watch and learn and share...students like you are why I love to teach and want to keep this channel growing:)
...you watched and thanked me and we appreciate our viewers choosing our channel to learn from...BAM!!! Please share it with friends, classmates and teachers as an additional study reference and help us keep growing and helping others:D
With the information given in the table and with the function being continuous, you are only guaranteed the function was equal to 7500 between the x values for which the function went from less than 7500 to greater than or visa versa. I can't always answer questions so quickly but school is out for summer:) I hope I answered your question.
Let clarify this Bob :) Morr man is likely to be a Muslim, and when Muslims like someone, they wish he's a Muslim as well :) it's weird, but the point is that Morr man likes you a lot :D
Not to sound arrogant here, but your definition of a closed set (in this case a closed interval in R) is not correct at all. A closed set X in R is a set such that if {p_k} is a sequence in X that converges to a point p, then p is in X. It's really too bad that calc is taught like this...it tends to breed handwaveyness.
You are actually one of the very few professors that actually EXPLAIN what this math talk means.
By that, I mean "if f is continuous on the closed interval [a,b], f(a) != f(b)... etc"
You actually explain what that means in plain English, and most importantly visualize it in a really simplified way. None of my professors do this. THANK YOU!
Thanks for taking the time to seek outside help and choose this channel to study with and I'm happy to hear you found it so helpful!
Please share your experience and this channel as an after class study reference with your professor so ALL current and future students know where to find help if they need it...BAM!!!
Thanks for choosing and giving my channel a chance to teach you what I know:) I have been teaching high school math for 18 years and I'm lucky enough to still love what I do and now to be able to share that passion with the world! Thanks for making me the star on your subscriber page and I hope you will enjoy the rest of your learning experience from Tarrou's Chalk Talk...and if you do, please tell others about it...that's how I groW!
Thanks for choosing my channel to learn from and supporting by liking and subscribing!
I hope at least that it was a rainy day so you did not miss a beautiful weekend day spent with your family:(
I know what you mean Shane...I'm teaching AP Calculus for the first time this year in the classroom and pretty much since summer started I feel like I eat, breath, think Calculus! Not to mention, having 4 preps this year again at school and two of them AP...lots of work involved and then to squeeze in new videos is overwhelming at times!...but people like you always remind me why!!!
It's funny coming across your video having graduated from SPHS in 2010. I never had you as a professor, but I remember seeing you in the hallways. I'm taking intro to advanced calculus / real analysis and the professor refers to the IVT occassionaly while writing proofs, but never really went over it. Anyways, thx for the video!
Thank God I found your channel, now i am finally to start to understand calculus! Your way of teaching fits my way of learning! I will start to get the word out to friends of mine that are also struggling in calc. This is also helping in my calculus based physics class! I hope your channel is a success.
Thanks for watching, learning, commenting and sharing pipe7731 !
I'm happy to hear that my channel has been so helpful to you for multiple classes too.
As you share my channel please remind everyone how important it is to my channel growth for them to like, SUBSCRIBE, support the ads, share thru social media and with friends, classmates and teachers...that's how "you" can help make it successful:D
Professor Rob, you are true humanitarian!!! there is no way I would have ever gotten through my math classes without your help.
+victor games thanks for investing the time to study with Tarrou's Chalk Talk and to "thank" the teacher:)
Well I will take that as quite the compliment and accomplishment! My wife and I are working very hard to groW my channel, and our "dream" is to someday pass the # of subscribers on his channel:) Thanks for supporting by watching and subscribing and putting us one # closer:) Please share with your friends and fellow classmates too, we really appreciate your efforts!!!
I have been listening to you all day my friend. I almost feel related to you now. Thanks for your great help. I would also like to add; Sir Isaac Newton, and Gottfried Wilhelm Leibniz are both lucky I dont have a time machine!! I would go back and beat the Idea of calc out of both of them! Have a great morning sir. BAMM, I JUST FINISHED TODAY'S HOMEWORK!!!!
TIME FOR BED!
Ohh this stuff is so good I am so spreading this to all my calculus buddies thank you so very much for you time and hard work of putting these together. You make calculus so entertaining and fun. I will be watching your videos for the rest of the year. Thank you so very much again.
You are truly a legend and I love your videos.
I'll might be a legend if I ever get a million subscribers but until then please sub and share the love with everyone to help us keep growing and maybe someday...BAM!!! we'll have that gold play button:)
just a tip before you erase any notes on the board or switch scene you should step out of the way so that viewers can take screen shot of the notes that would be freaking great
Thanks...I have been trying to do that (when I think about it:) on my newer videos!
wow you seriously could not make a better video explaining the ivt than this. Even just explaining one example made me very confident about solving problems and that is something. Heck you even made this seem easy! And this is calculus.
Nice to hear that you found this lesson so helpful!
Now please help us keep sharing this free channel by liking, subbing, supporting the ads and sharing is with everyone...friends, classmates and teachers too:D THANKS!!!
Looks like it's gonna be a GREAT year then!
OMG, i really love your hand writing, tooooooooo amazing
Thanks for studying and subbing...I have lessons teaching my cursive when you want a break from math...BAM!!!
Welcome back MrCodmaster777...hope you enjoyed your summer!
That perfect elipse at 16:47 was extremely satifying.
Of course also, thank you for the video, very helpful :)
DatLewdogTho BAM!!!...sounds like it brought out the math in you too:)
And of course, thanks for watching, learning and subbing to #ProfRobBob !
BAM!!!! That's what I call a "TOTALLY AWESOME SUPPORTER!!!"
If all my viewers were like you Andrew I would have a "M" next to my subscriber count by now:)
THANK YOU, Thank You, thank you…
I've had many subscribers tell me that they started a study group and all watched and worked on homework together once a week and found it to be very helpful…just a thought:D
omg you are really well at teaching..I was actually going to spend lot of money on tutoring because i was freaking out. Your videos have helped so much especially when my exam is one day away. Thank you so much..i learned alot just watching all these videos. You cover great questions from easy to difficult. I really please all the time you have spend time making all these.. You make all this so entertaining. I am actually watching all your videos at 3 am at night.hopefully i pass my calculus finals.. i have been ignoring studying cause i did good on the first 2 exams but when i looked at the final exam things to know i was really lost..but thank you for all the videos.
WOW…what a compliment! I'm glad you found my videos so helpful and I hope you go into that exam with your new found confidence and get that "A" you deserve! Feel free to "Tip the Teacher" on my homepage with that money you were going to spend on tutoring…lol Thanks for choosing my channel to watch and learn from and subscribe to…now go tell the rest of your school where to find good FREE math help on TH-cam:D
At 12:45 you mentioned that g(x) has a removable discontinuity, but isn't it actually a jump discontinuity?
My book does not use that vocabulary. I had to look up "jump discontinuity", it means the same thing as a non-removable discontinuity. Thanks for watching. I am going to go add a new key word in my videos description now:)
Thank you for teaching the teacher a lesson...I did not know that and appreciate you sharing.
I love your teaching way. It makes me understood so fast.
+peng paly thanks for watching...please subscribe and spread the word:D
i am sorry but i couldnt find the video of squeeze theorem have u ever mentioned it ?
I do not have a lesson on the squeeze theorem yet, sorry.
So the amount of zeros that you find is basically how times f(c) touches. Right?
ProfRobBob, can you give the proof of The Intermediate Value Theorem, Rolle's Theorem, Mean Value Theorem for Derivative ? I want it for my scription in collage. I hope you can do.
Thanks for taking time away from your homework to support by subscribing!
Hello Prof. The first time I couldn't find a video in your series for one of our calc sections which is epsilon/delta definition. can you help find it please! I am really struggling with the concept of it. It will be really appreciated.
I am so sorry that I don't have the lesson your are looking for yet. Last year was the first time I taught AP Calc AB and the delta epsilon proofs were not on my classes topic list. I remembered how hard they were to understand after having about 20 years to forget my calculus. I wish I could be more helpful:(
thanks mate . best tutor on youtube
Shafiq Fikri THANKS!
Please help us and don't forget to like, subscribe and share my channel and your experience with everyone to help us groW!
Mr. Tarrou, why is it that some definitions of the IVT has c contained within a closed interval whereas others have c contained within an open interval?
I don't know. Closed inteval makes no sense to me. You already know the functions value at the end points of the interval.
You're welcome!
You're welcome so much!
where do you live? england?
Thank you for your videos! I also want to add you have the best handwriting I've ever seen from any teacher :O beautiful really
You're welcome Julieta Ayala and thanks for watching, learning and taking the time to appreciate my writing:)
If you need a break from math I have a few videos teaching my cursive writing style too...BAM!!!
....don't forget to like, sub and share my channel to help us keep growing:D
ProfRobBob I would definitely be interested in those handwriting videos :p
Yousef Fattal just type the word "cursive" in the magnifying glass and you will find them on my channel or on my website, I even have a practice sheet you can print out at: www.profrobbob.com (and some printable flyers so you could advertise my channel at your school:) lol
Yipppeeee...looking forward to being your TH-cam teacher again! Funny...my wifes lucky # is 7, so she noticed your name immediately:)
I have this question and I don't understand what the teacher is asking. It is on this topic. 3. Show that the function f(x) = x^3 + 3x + 1 has at least one input that makes f(x) positive, and one input that makes f(x) negative.
Florida...my wife was born in England though:)
appreciate you sir
thanks!
THANK YOU!! MAY THE LORD SHINE UPON YOU WITH LOVE!! I FINALLY GOT THIS!! THANK YOU!!!
I mean it...my trig teacher doesn't explain anything to us!! Makes us learn by ourselves and gets mad when we don't understand the work she gave us (aka hw)
BAM!!! Glad to hear you finally "Got it" Isis Perez !
Thanks for choosing my channel to watch and learn from and I hope you will share it with the rest of your class and even with your teacher as an "after school" additional study reference...and remind everyone to like, subscribe and spread the word to help my channel groW and help other students like you:D Help keep free educational channels FREE $
ProfRobBob
HAHAHA no problem..man I wish I had your classes.....I would learn so much better!! I have a fail for her class and I just I stress over it because I dont want to retake trig..I need to pass....SO Thank you!! Because I know this will be on the test coming up later and I want to pass this class with at least a C!!!! I think I will keep on watching your videos on your channel so I could learn more!!! THANK YOU ONCE AGAIN!!!! :)
I think it was a tie:)
Always the best.
+Luandense conquering supernovas THANKS!
i don't understand your last answer why is it not at least 4?
May I ask why you think the answer may be at least 4?
Thank you very much
Aditi Rai you are very welcome...thanks for watching and liking, please don't forget to subscribe and share too:D
Yeah, definitely. My friend loves Khan Academy and he's always pushing me to watch his videos which I do lackadaisically. But, I found your channel and I think you're really fun.
I also like how unlike other youtube channels, you work us through difficult problems and demonstrate a variety of them in a video.
Aditi Rai thank you for noticing and for sharing for me :)
I chose to teach in full lessons since there were so many other channels doing short "answer only" videos...I eventually added time stamps as my videos got longer but there are still some students who don't like the length:(
Thanks for taking the time to watch and learn and share...students like you are why I love to teach and want to keep this channel growing:)
See you for Calculus 2, next semester. All the best, Professor Rob!
THX Bro.
please sub and share:D
7:47 lol
don't forget to sub and share:D
thank you very very very much teacher.
you are very very welcome and thanks for studying and subbing!
ProfRobBob I didn't do anything worth thank ^_^
...you watched and thanked me and we appreciate our viewers choosing our channel to learn from...BAM!!!
Please share it with friends, classmates and teachers as an additional study reference and help us keep growing and helping others:D
ProfRobBob I am going to do it now.
awesome videos
LOL YOU AGAIN, I LIKE YOU DUDE, YOU ARE SO HELPING
This is great stuff. Calc is so tough man!
THANKS!
Hope we can continue to help:)...if so, please like, sub and share with your teacher and classmates:D
There are 4 counts of it being over 7500. Thank you for replying so fast by the way. Correct me if need be.
With the information given in the table and with the function being continuous, you are only guaranteed the function was equal to 7500 between the x values for which the function went from less than 7500 to greater than or visa versa. I can't always answer questions so quickly but school is out for summer:) I hope I answered your question.
Let clarify this Bob :) Morr man is likely to be a Muslim, and when Muslims like someone, they wish he's a Muslim as well :) it's weird, but the point is that Morr man likes you a lot :D
Not to sound arrogant here, but your definition of a closed set (in this case a closed interval in R) is not correct at all. A closed set X in R is a set such that if {p_k} is a sequence in X that converges to a point p, then p is in X. It's really too bad that calc is taught like this...it tends to breed handwaveyness.
SO SOOO GOOD
BAM!!!
lol you're giving patrickJMT a run for his money :p great video
Yup gonna take a 2 year coarse in pure maths and applied maths so i'll be here a while :D and sorry about the name i made it when i was 13 >.
hi Bob (:
So am i....n thats my lucky number as well :P
All I can say is Jesus is Lord!
First!
Great job ! , are you muslim? if not , learn about islam :) and thank you again !