I'm about to get an A in Calculus 1 because of you. I cannot tell you how much your videos have helped me become great at math. I watch them almost everyday for practice and knowledge. I'm now strongly considering getting a bachelors in Mathematics along with my BS in Computer Science, and becoming a teacher myself thanks to all your great videos! You really have a gift for teaching, and I really hope you never stop! See ya for Calculus 2 my amazing math teacher and I'd like to add a BAM! :)
Ryan Walker Mrs. Tarrou here...let me start out by thanking you for such a heartfelt comment, you had me in tears! I help my husband answer non-math comments and your comment was one of those that makes me want to share it with the world! I am blessed to be with this selfless, amazing man for over 23 years now. Hearing from students like you, sharing your appreciation, and hearing what an impact he has made, continually reminds me why I support all the additional time and effort he spends to groW his channel to help more students (like you) realize the true potential that lies within. He is starting his 19th year of teaching high school math and does all his filming in the back room of our home AFTER he is done with his schoolwork. It takes hours to prep, film, edit, review, key word and then do it all again...in addition to answering math questions and comments. But he lies teaching and TH-cam has taken that passion to a whole new level!!! It's just frustrating for me to see non-educational channels with millions of subscribers and his with only 39 thousand, knowing all the time and hard work that goes into it :(...but it's hard to get students to realize the importance of Liking, Sharing, SUBSCRIBING, Liking on Facebook, Twitter, Google+, all social media by spreading the word :D Thanks for letting me ramble and for your amazing compliment, and Rob sends a gigantic BAM!!! right back to you:)
@@profrobbob Thank you for all your support, Mrs. Tarrou! The way content is presented in all those million subscriber channels is sharing information in a very different way. People come to this type of knowledge intentionally. And it takes time and experience to see that there are different teachers on the way, each having their own style of teaching, eg why pay a fee when you can get it for FR33! ❤
+ProfRobBob, Just a quick note.. When I need a good strong mathematical lecture I always check out your vids. Other math TH-camrs tend to go either too fast or ave too much unnecessary stuff. It's good that you take your time to explain things clearly. That's definitely part to your brand.
THANKS for the note of appreciation...we appreciate your continued support too!!! Please keep sharing this free educational channel whenever you have the opportunity:D
You're welcome, I call that teamwork...You seek outside help to lear and I'm there with the free help...BAM!!! Thanks for watching, liking and learning from this channel please sub and share it with everyone:D...especially your teacher so they can share it with ALL the student and fellow teacher at school:)
Thank you very much. I like the challenge of looking at a difficult problem and working through the process of figuring it out. But honestly, I like the teaching even more than the math. My students make my career worth it:)
THANKS for the testimonial Bethany Martin ...glad to see you are still enjoying my videos! Just keep sharing my channel info with everyone, remind them to Like, SUBSCRIBE and share with their friends, Like me on Facebook and any other form of social media that gets the word out...and that will be all the payment I need:) I just want to supply FREE math help for everyone, everywhere...BAM!!!
Superb job explaining the fundamental theory of calculus!! I am currently taking a college level calculus course and my professor does not do nearly a good of a job explaining the concept before jumping right into doing math problems. That is the difference between someone who is passionate about teaching and someone who just does his job. I wish more professors were more like ProfRobBob. I've been watching your vids since I began taking college algebra and each time I learn more here than I do in class - trust me is not due to lack of effort. I'll be sure to recommend to friends. Thanks for the lessons!!
MrSupernova111 you're welcome and I apologize for my delayed reply to your awesome compliment:( Sounds like we are getting close to the end of our journey together too. Thank you so much for taking the time to share your experience with us and for all your study time and dedication to my channel and my videos:) Students like you are why teachers like me teach! It's easy to teach a student who is willing to learn and do what it takes to make the grade...which is followed by the passion that comes from their excitement of learning. I just finished my 19th year of classroom teaching and TH-cam has taken that passion to a whole new level...thanks for yet another reminder why I love what I do and thanks for the recommendations. Word of mouth is our only advertisement and means of channel growth...our goal once again this year is 100,000 subscribers before the end of the year so hurry and get that word out...lol
Thank you for all the hard work you put into the videos. I'm a Mechanical Engineering student that works full-time and your videos save me enough time so that I can sleep some nights... now is not one of those nights ;p
Differentiation: Δy/Δx Integration: ΔxΔy That's a super nice way to illustrate how diferentiation and integration are the inverse of each other. Thanks so much!
These videos are so great for helping solidify my knowledge after class and helping me understand my homework. Thanks! Just a quick question: Why can't you get a negative number when finding area? Doesn't that just mean your area is below the x-axis, or am I just scrambling what I was doing in a previous section in Calc 1?
I'm taking an 8 week Calc 1 course right now. So much to learn in so little time. But your videos help me a lot! You are AWESOME! ... And thanks for showing each step (I'm one of the ones that need it :D .. )
You're welcome ***** and thanks for choosing my channel to learn from. I'm happy to hear you are finding my videos so helpful, 8 weeks is a short time to learn all this for sure...but I know you can do it! Please like, SUBSCRIBE and tell all you friends and classmates about my channel and to do the same...that's how my channel groWs to help others:D
You're welcome and THANKS for taking the time to like and sub! I hope that means you are telling all your friends, classmates and teachers to watch and do the same so we can keep growing and helping students for free...BAM!!!
Thanks for watching and please like, subscribe, share thru social medias and with all your friends, classmates and teachers so we continue to grow and help others...thanks!
I think you should also give us your E-mail or if possible open a group chart on Whatsapp group so that we can a proper and constant communication with you and i tell you more and more people will join and we can achieve good grades in Mathematics Worldwide.Please reply on that if you support that.
Hello professor Tarrou, Your videos was really helpful. They broke down step-by-step in details and make easier to understand. You are grrrrrrrrrrreat! Oh! I forgot. BAM! let me go do my homework.
Thank you so much for your help! I'm currently studying for my math degree in the UK and was struggling to understand a lot of things, but after watching your videos i feel ready for my exam! thank you! :)
+MaredWyn you're welcome...hope you passed that exam like BAM!!! Do you plan on teaching after you graduate?...if so, I hope you find it as rewarding as I have for the past 20 years:)
+Nicole thanks for watching, studying and subbing! Please share my channel with the other 35,000 students there and ask them to subscribe and support this channel! We are about 5,000 subscribers short of 100,000 right now and had hoped we would get there before 2016 hit:( Thanks again for your help and support...BAM!!!
The upper limit of 3 is the value that makes the expression inside the absolute value function equal to 0. That is where there will be a sharp bend in the graph...at x=3
Thank you so much, just thought id let you know that your videos got me through trig and my entire engineering clac which I'm reviewing for now, I don't know that i could have made it through my math classes without these videos!
Grant Walker You're welcome! You were the one who took the time to find extra help on TH-cam...and I'm glad you chose Tarrou's Chalk Talk to get it from! Keep up those great study habits too:)
I made the platform out of 2×4's and there is a dip the board sits in. The platform is secured to the window sill. Since we have old aluminum framed Miami windows, I used HEAVY Duty velcro tape at the top of the board. The velcro tape is so strong I could not yank it away from the wall once applied. The old board is the back to cover the ugly foil backing of the new board mounted in my antique frame. So it takes two people to pick up that board. If truly mounting, I would only trust screws that go into interior 2x4's and not anchors of any form.
This is a really nice video, explains things so well. what mystifies me about integration and differentiation though is why do we add one to the power then divide by the new power to integrate or multiply by the power then take one from the power to differentiate. why is this? how did this come to be? why not add two to the power and divide by the new power to integrate, or add three.... i will be a happy man when i find the answer to this question!
paul c Integration undoes differentiation, so your two questions are really just one. Finding a derivative function with the limit process not knowing even the most basic derivative rules will allow you to see the canceling or reducing of that power by one. Check out the example starting at 46:20 in this full length lesson th-cam.com/video/eWxo7O506G8/w-d-xo.html
Thank you so much! This is really helpful! Luckily, my professor is giving out a derivative and trigonometric chart, so I should do pretty well on the exam tomorrow!
You're welcome! Sorry for the delayed reply but I have to approve all comments and I was busy eating candy all day!...I hope you had a happy easter too:)
No, not yet. My goal is to continue working and making lessons through Calculus III. This next school year however, I am going to need to do a lot of planning for a new Alg 1 course I am teaching.
+LightningKillFXIII It is the same thing basically. If you are integrating a function that describes a rate of change, like in a word problem, your answer is the amount of change.
You don't have to bring up area at all to understand the Fundamental Theorem -- in fact, I think doing so is counter-productive. You should start with the idea (as you did) of the derivative being division and to "undo" division you use multiplication. That's the fundamental concept. The fact that this multiplication is numerically equal to the area under the curve of a derivative function is not a fundamental insight.
+Robert Brandywine Thank you for the feedback. You are correct. Area under the curve is just ONE use of definite integrals, one that students are clear about after working through the sections of Riemann Sums.
ProfRobBob Does it really make clear to them the relationship between the differential and the integral or do they just sit silently and you assume that they understand it? I know I did, but after I had calculus 3 I remember asking a physics professor I had to explain the relationship in more meaningful terms (he couldn't). It took a lot of thought but I finally figured it out for myself.
+Robert Brandywine I teach high school with a relatively small Calc class so there is a lot of interaction. My students have plenty of opportunity to let me know if they are confused!!! I am also becoming a better teacher by posting my lessons on TH-cam because more people viewing them... Including teachers. A mistake or an insight that my students may not catch will be brought to my attention by my viewers like you:)
So Mr. Tarrou, so dating advice...if I tell a girl she's the Integral to my Differential...would that be a compliment??
I think it might get you a date...at least for your wittiness :)
So she is gonna cancel you out?
@@hammadurrehman8991 Lol
I'm about to get an A in Calculus 1 because of you. I cannot tell you how much your videos have helped me become great at math. I watch them almost everyday for practice and knowledge. I'm now strongly considering getting a bachelors in Mathematics along with my BS in Computer Science, and becoming a teacher myself thanks to all your great videos! You really have a gift for teaching, and I really hope you never stop! See ya for Calculus 2 my amazing math teacher and I'd like to add a BAM! :)
Ryan Walker Mrs. Tarrou here...let me start out by thanking you for such a heartfelt comment, you had me in tears! I help my husband answer non-math comments and your comment was one of those that makes me want to share it with the world! I am blessed to be with this selfless, amazing man for over 23 years now. Hearing from students like you, sharing your appreciation, and hearing what an impact he has made, continually reminds me why I support all the additional time and effort he spends to groW his channel to help more students (like you) realize the true potential that lies within. He is starting his 19th year of teaching high school math and does all his filming in the back room of our home AFTER he is done with his schoolwork. It takes hours to prep, film, edit, review, key word and then do it all again...in addition to answering math questions and comments. But he lies teaching and TH-cam has taken that passion to a whole new level!!! It's just frustrating for me to see non-educational channels with millions of subscribers and his with only 39 thousand, knowing all the time and hard work that goes into it :(...but it's hard to get students to realize the importance of Liking, Sharing, SUBSCRIBING, Liking on Facebook, Twitter, Google+, all social media by spreading the word :D
Thanks for letting me ramble and for your amazing compliment, and Rob sends a gigantic BAM!!! right back to you:)
@Shah Jacob Now at 178k
@@profrobbob Thank you for all your support, Mrs. Tarrou! The way content is presented in all those million subscriber channels is sharing information in a very different way. People come to this type of knowledge intentionally. And it takes time and experience to see that there are different teachers on the way, each having their own style of teaching, eg why pay a fee when you can get it for FR33! ❤
THANK YOU!!! I am trying to do my best and make videos with a different style then what is already out there. I really appreciate the comment:)
And THANK YOU for staying up nights to watch them! And thanks for sharing that time-saving compliment:)
+ProfRobBob, Just a quick note.. When I need a good strong mathematical lecture I always check out your vids. Other math TH-camrs tend to go either too fast or ave too much unnecessary stuff. It's good that you take your time to explain things clearly. That's definitely part to your brand.
THANKS for the note of appreciation...we appreciate your continued support too!!! Please keep sharing this free educational channel whenever you have the opportunity:D
Wow I seriously don't know where I'd be without these videos. I owe a lot of my grade in calc to you, thank you!
You're welcome, I call that teamwork...You seek outside help to lear and I'm there with the free help...BAM!!!
Thanks for watching, liking and learning from this channel please sub and share it with everyone:D...especially your teacher so they can share it with ALL the student and fellow teacher at school:)
Thank you very much. I like the challenge of looking at a difficult problem and working through the process of figuring it out. But honestly, I like the teaching even more than the math. My students make my career worth it:)
Best math videos on the internet. (And about 100x better than my college professor!) I owe you big time!!!! :)
THANKS for the testimonial Bethany Martin ...glad to see you are still enjoying my videos!
Just keep sharing my channel info with everyone, remind them to Like, SUBSCRIBE and share with their friends, Like me on Facebook and any other form of social media that gets the word out...and that will be all the payment I need:) I just want to supply FREE math help for everyone, everywhere...BAM!!!
Superb job explaining the fundamental theory of calculus!! I am currently taking a college level calculus course and my professor does not do nearly a good of a job explaining the concept before jumping right into doing math problems. That is the difference between someone who is passionate about teaching and someone who just does his job. I wish more professors were more like ProfRobBob. I've been watching your vids since I began taking college algebra and each time I learn more here than I do in class - trust me is not due to lack of effort. I'll be sure to recommend to friends. Thanks for the lessons!!
MrSupernova111 you're welcome and I apologize for my delayed reply to your awesome compliment:( Sounds like we are getting close to the end of our journey together too.
Thank you so much for taking the time to share your experience with us and for all your study time and dedication to my channel and my videos:)
Students like you are why teachers like me teach! It's easy to teach a student who is willing to learn and do what it takes to make the grade...which is followed by the passion that comes from their excitement of learning. I just finished my 19th year of classroom teaching and TH-cam has taken that passion to a whole new level...thanks for yet another reminder why I love what I do and thanks for the recommendations. Word of mouth is our only advertisement and means of channel growth...our goal once again this year is 100,000 subscribers before the end of the year so hurry and get that word out...lol
Your truly make a difference in the world. Be proud of you! Factorial thanks.
Thanks again Lilli Flower for all your shares and support!
Thank you for all the hard work you put into the videos. I'm a Mechanical Engineering student that works full-time and your videos save me enough time so that I can sleep some nights... now is not one of those nights ;p
Differentiation: Δy/Δx
Integration: ΔxΔy
That's a super nice way to illustrate how diferentiation and integration are the inverse of each other. Thanks so much!
Great teacher - and the penmanship alone is worth a … BAM!
THANKS for the compliments!
I'll second that BAM!!! if you sub and share!!!
1:16 “we no longer have to go through the reimanns sums process to find integrals” YES GOD BLESS!!
These videos are so great for helping solidify my knowledge after class and helping me understand my homework. Thanks!
Just a quick question: Why can't you get a negative number when finding area? Doesn't that just mean your area is below the x-axis, or am I just scrambling what I was doing in a previous section in Calc 1?
Your videos helped me a lot. THANK YOU
I'm taking an 8 week Calc 1 course right now. So much to learn in so little time. But your videos help me a lot! You are AWESOME! ... And thanks for showing each step (I'm one of the ones that need it :D .. )
You're welcome ***** and thanks for choosing my channel to learn from. I'm happy to hear you are finding my videos so helpful, 8 weeks is a short time to learn all this for sure...but I know you can do it! Please like, SUBSCRIBE and tell all you friends and classmates about my channel and to do the same...that's how my channel groWs to help others:D
Thank you so much for doing these videos! You have helped me so much throughout high school and now that I'm in college!
+Rachel thanks for all the continued support!
I hope that means you have been sharing my channel along that journey too:D
Mann that is some beautiful hand writing
THANKS…and please thank the teacher for teaching you to read cursive:)
Amazing vid!!! Do you have a video on finding the derivative of integrals? Thanks!!
This is a brilliant introduction to this theorem. Thanks.
You're welcome and THANKS for taking the time to like and sub!
I hope that means you are telling all your friends, classmates and teachers to watch and do the same so we can keep growing and helping students for free...BAM!!!
Thank you very much:)
Once again your videos are excellent. Thanks
These Videos guyz must Spread this Teacher is Amazingly Brilliant in Explaining
Thanks for watching and please like, subscribe, share thru social medias and with all your friends, classmates and teachers so we continue to grow and help others...thanks!
I think you should also give us your E-mail or if possible open a group chart on Whatsapp group so that we can a proper and constant communication with you and i tell you more and more people will join and we can achieve good grades in Mathematics Worldwide.Please reply on that if you support that.
Do you have videos on linear algebra? Really impressive videos by the way. Keep it up!
I have some videos that I am sure overlap Linear Algebra but I have not opened a Linear Algebra textbook and put together a playlist yet. Thanks:D
Hello professor Tarrou,
Your videos was really helpful. They broke down step-by-step in details and make easier to understand. You are grrrrrrrrrrreat! Oh! I forgot. BAM! let me go do my homework.
Great video you explained it very well.
...and THANK YOU for watching and subbing!
Please keep sharing this channel with everyone to help us keep growing and helping others...BAM!!!
Thank you so much for your help! I'm currently studying for my math degree in the UK and was struggling to understand a lot of things, but after watching your videos i feel ready for my exam! thank you! :)
+MaredWyn you're welcome...hope you passed that exam like BAM!!!
Do you plan on teaching after you graduate?...if so, I hope you find it as rewarding as I have for the past 20 years:)
Yes i do! thank you so much :)
+MaredWyn :)
we need linear algebra =) , thank for the video. i got a A on my test because of your video. you, sir have just gain a subscriber
BAM!!!
You're welcome!
BAM!!!
...and BAM!!! thanks for subbing leeq lee and please SPREAD THE WORD!
im in mat 21b in UC Davis and this is so helpful!
+Nicole thanks for watching, studying and subbing!
Please share my channel with the other 35,000 students there and ask them to subscribe and support this channel!
We are about 5,000 subscribers short of 100,000 right now and had hoped we would get there before 2016 hit:(
Thanks again for your help and support...BAM!!!
Awesome Video Thank you so much!
You're welcome Beme Cabrera thanks for watching, learning and subbing!
Keep spreading the word:D
why at 20:30 would the bounds not be to -2, 2?
The upper limit of 3 is the value that makes the expression inside the absolute value function equal to 0. That is where there will be a sharp bend in the graph...at x=3
Thank you so much, just thought id let you know that your videos got me through trig and my entire engineering clac which I'm reviewing for now, I don't know that i could have made it through my math classes without these videos!
Grant Walker You're welcome! You were the one who took the time to find extra help on TH-cam...and I'm glad you chose Tarrou's Chalk Talk to get it from! Keep up those great study habits too:)
Thank you so much for your help! I love your explanationss :D
+Areeba Qamar thanks for studying and subbing!
Weird question but how do you have that chalkboard mounted? im looking to do something similar
I made the platform out of 2×4's and there is a dip the board sits in. The platform is secured to the window sill. Since we have old aluminum framed Miami windows, I used HEAVY Duty velcro tape at the top of the board. The velcro tape is so strong I could not yank it away from the wall once applied. The old board is the back to cover the ugly foil backing of the new board mounted in my antique frame. So it takes two people to pick up that board. If truly mounting, I would only trust screws that go into interior 2x4's and not anchors of any form.
This is a really nice video, explains things so well. what mystifies me about integration and differentiation though is why do we add one to the power then divide by the new power to integrate or multiply by the power then take one from the power to differentiate. why is this? how did this come to be? why not add two to the power and divide by the new power to integrate, or add three.... i will be a happy man when i find the answer to this question!
paul c Integration undoes differentiation, so your two questions are really just one. Finding a derivative function with the limit process not knowing even the most basic derivative rules will allow you to see the canceling or reducing of that power by one. Check out the example starting at 46:20 in this full length lesson th-cam.com/video/eWxo7O506G8/w-d-xo.html
Forgot a parentheses line 4 at 24 minutes in. Quantity 2 from left is short a closing parentheses
Thank you so much! This is really helpful! Luckily, my professor is giving out a derivative and trigonometric chart, so I should do pretty well on the exam tomorrow!
Hope you pass that exam like BAM!!!
Thanks for watching:)
thanks a lot sir
best teacher very cool! :)
i will keep supporting nice!
You're welcome! Sorry for the delayed reply but I have to approve all comments and I was busy eating candy all day!...I hope you had a happy easter too:)
Explendid work,I've gained alot.
Signs of a great student Godfrey Ouma ...studying on the weekend!
Do you do multivariable calculus on these videos? Or calc III?
No, not yet. My goal is to continue working and making lessons through Calculus III. This next school year however, I am going to need to do a lot of planning for a new Alg 1 course I am teaching.
Is it possible to have so much WIN in a video? with ProfRobBob it is!!!
THANKS semir kasumovic !
There would be no winning without you watching...BAM!!!
thank you!
+iceverything2000 and THANK YOU for liking and subbing!
Please tell all your friends to watch and do the same and remind them to support the ads too:D
whats the difference between the first fundamental theorem of calc compared to the the 2nd?
Here is my introduction to the 2nd Fundamental Theorem of Calculus Second Fundamental Theorem of Calculus
Thank you sir ;)
You're welcome Max!
How is this different from the net change theorem?
+LightningKillFXIII It is the same thing basically. If you are integrating a function that describes a rate of change, like in a word problem, your answer is the amount of change.
U THE MAN
YO DADDY BAM!!!
Please keep watching & sharing & reminding viewers to SUBSCRIBE and spread the word & support free educational channels like mine:)
Still saving my grades!
It's called teamwork my friend...I provide the lessons + YOU study = good grades! BAM!!!
Thanks for your continued support:)
first example 2 x 1 is not three
final in 10 days! wooooooo!
Keep studying, practicing and watching these videos like you have been and I know you'll be ready to pass that final like BAM!!!
You don't have to bring up area at all to understand the Fundamental Theorem -- in fact, I think doing so is counter-productive. You should start with the idea (as you did) of the derivative being division and to "undo" division you use multiplication. That's the fundamental concept. The fact that this multiplication is numerically equal to the area under the curve of a derivative function is not a fundamental insight.
+Robert Brandywine Thank you for the feedback. You are correct. Area under the curve is just ONE use of definite integrals, one that students are clear about after working through the sections of Riemann Sums.
ProfRobBob Does it really make clear to them the relationship between the differential and the integral or do they just sit silently and you assume that they understand it? I know I did, but after I had calculus 3 I remember asking a physics professor I had to explain the relationship in more meaningful terms (he couldn't). It took a lot of thought but I finally figured it out for myself.
+Robert Brandywine I teach high school with a relatively small Calc class so there is a lot of interaction. My students have plenty of opportunity to let me know if they are confused!!! I am also becoming a better teacher by posting my lessons on TH-cam because more people viewing them... Including teachers. A mistake or an insight that my students may not catch will be brought to my attention by my viewers like you:)
Forgot to comment
...no you didn't :)
oops sorry my bad as they say
THANKS for the correction John Stillman it's good to see that you really were "doing your homework"...BAM!!!