Micah De Asis Doing math formulas on Excel is a very good learning tool. True also of accounting. Repetition, repetition, repetition until you get it. I only wish I had had electronic spreadsheets when I was in college studying accounting. Lotus 1-2-3 was just coming out as I was graduating in late 1980s. Had I had Lotus for DOS, I would have made straight A's except for Auditing. Same goes for algebra I had in H.S. Electronic spreadsheets would have clarified EVERYTHING. Instead I made only 1 A in 6 semesters and some C's and Bs.
As soon I heard your calm voice I understood everything. Could you plz tell me about the mid point rule is it more accurate than trapezoidal? because my teacher gave to us and i still need more practice. thnx so much!!
This is awesome. It's broken down really well and I think Algebra II (College Algebra) students could probably follows this. I think it might help to draw the function first. Then you would be less likely to end up with sawtooth trapezoids. That might confuse some students since the height should be the same at those points, but they do not look the same the way you drew them. That's the only issue I saw. Otherwise, it is excellent. I liked how you handled your mistakes. You fixed it. Displayed little to no frustration about it and moved on. It demonstrates how to do self-checks as you're working the problem.
Good Work as it helped me alot in my exams. Thank You Ma'am but tell me if the width are not same then what we gonna do, Is there any example of that on which you have made tutorials ?
Just in case anyone is coming here confused form an analysis textbook, by taking the "left" side of the rectangle, you'd be taking the inf of the partition within the interval and sum them up for each partition. Same goes for the sup on the right. I still don't understand how, for any partition, the sum of sups of smaller partitions is going to be less than the sum of sups of larger partitions. All I understand is that the error will become less, and that's an intuitive explanation, but it doesn't help explain the actual reason that even a super small partition can come out larger than an entire interval partition for any partition. For example, what if you make a tiny partition in the interval and then claim that it's upper sum is larger than one giant partition that spans the entire interval? That just doesn't make any sense to me right now. This particular video seems to only explain when all the partitions are equal in numeracy and size, which I guess is a riemann sum. I need something on darboux sums.
Can you please explain from the trapezoidal sum where you get the 1/2 from and from the left and right endpoint are you multiplying the 1 as well? Thank you
if the question didn't give you the number of rectangles, would you just use n. so it would be (3-0)/n=3/n? so the number line would be 3/n+6/n+9/n etc? until 3
Finally someone who knows how to teach this clearly, thank you SO much!
+taleen vartanian - WOW, thanks so much for your kind words. :)
You need more viewers! I almost gave up searching for someone to really break this down for me. You are a lifesaver!
Hey Micah De Asis - Awesome! So glad you finally found your answers. :-)
We are looking at these problems through excel but approaching it the way you have taught it simplifies most of my concerns. Thanks again!
Micah De Asis - :-)
Micah De Asis Doing math formulas on Excel is a very good learning tool. True also of accounting. Repetition, repetition, repetition until you get it. I only wish I had had electronic spreadsheets when I was in college studying accounting. Lotus 1-2-3 was just coming out as I was graduating in late 1980s. Had I had Lotus for DOS, I would have made straight A's except for Auditing.
Same goes for algebra I had in H.S. Electronic spreadsheets would have clarified EVERYTHING. Instead I made only 1 A in 6 semesters and some C's and Bs.
I wish you had more videos! You are my favorite... and the only reason I'm passing Calc.
Everything is explained so thoroughly. I wish I've known about her sooner.
This woman saved my life. Thanks a lot
Excellent explanation, I'll watch all your videos and take my notes before starting my calc 2 class next semester. Thank you very much.
As soon I heard your calm voice I understood everything.
Could you plz tell me about the mid point rule is it more accurate than trapezoidal? because my teacher gave to us and i still need more practice. thnx so much!!
You need to upload more videos! you helped me understand this very well! can you do something with improper integrals?
Beautiful explanation. Your voice is perfect for instructional videos.
Hey +Alex Vallesteros - Thanks SO much for you kind words. :)
Excellent video. You are a brilliant teacher. Please post more AP Calculus videos. Thank you so much.
Great video! You method of teaching is so invigorating & easy to comprehend:)
Hi ThePackman2323 - thanks!
Are you doing more examples of riemann sum? Also, do you have any area under the curve examples?
Honestly this was so easy to follow. You have no idea how good you are. Thank you!
Thanks soooo much! I have a AP clac test over the unit that contains Riemann sums, which is the only thing that I didn't get. However, now I do!
Hey +jay patel - So glad we've been able to help. :)
Thanks for doing the work rather than all the fluff with sigma notation. I was desperately trying to search the way to do this but now I found it
you're welcome
have love this one, you have made it so simple to solve
:)
LIGHTBULB MOMENT! Thank you so much!!!
Thank you, this was a wonderful explanation that really cleared up Riemann sums for me!
you're welcome! :)
You're a great teacher. Bless you!
Thank you so very much!!
Thank you for taking your time to explain!
+ThePassiontea :)
This has been extremely helpful. Thank you, so much!
Perfect video, thanks for sharing I finally understand Riemann sums
Excellent!!
OMG. Thank you so much!! You made everything really clear to me!
+sleepyyme :) :)
This is awesome. It's broken down really well and I think Algebra II (College Algebra) students could probably follows this.
I think it might help to draw the function first. Then you would be less likely to end up with sawtooth trapezoids. That might confuse some students since the height should be the same at those points, but they do not look the same the way you drew them. That's the only issue I saw. Otherwise, it is excellent.
I liked how you handled your mistakes. You fixed it. Displayed little to no frustration about it and moved on. It demonstrates how to do self-checks as you're working the problem.
Hi The Delphi Channel - Appreciate the kind words and detailed feedback. :-)
Perfectly explained!!!!
Hi +Zak Matew - Thank You SO much for the kind words.
this is the best video, thank you so much.
you're welcome!
very well, Thanks for your excellent explanation
You're welcome!! :)
so incredibly helpful... thank you so much!!
Thanks a lot
Amazing explanation
Good Work as it helped me alot in my exams.
Thank You Ma'am but tell me if the width are not same then what we gonna do, Is there any example of that on which you have made tutorials ?
Very nice explanation!
Just in case anyone is coming here confused form an analysis textbook, by taking the "left" side of the rectangle, you'd be taking the inf of the partition within the interval and sum them up for each partition. Same goes for the sup on the right. I still don't understand how, for any partition, the sum of sups of smaller partitions is going to be less than the sum of sups of larger partitions. All I understand is that the error will become less, and that's an intuitive explanation, but it doesn't help explain the actual reason that even a super small partition can come out larger than an entire interval partition for any partition. For example, what if you make a tiny partition in the interval and then claim that it's upper sum is larger than one giant partition that spans the entire interval? That just doesn't make any sense to me right now.
This particular video seems to only explain when all the partitions are equal in numeracy and size, which I guess is a riemann sum. I need something on darboux sums.
plzz explain the calculus chapter 4 complete ...easy reiman integral plzzzz....very helpful video ....clearly explain ....Thank u soo much
Thank you! you are a life saver
you're welcome! :)
I love you! I love this! So helpful!
+Jesse Vargas - hey thanks! :)
thank you so much!!!!
:-)
Great work, an excellent instructor, thank you..
Great explanation!!!!
+Jorge Sc :)
Hi many thanks, you do fantastic job. Can you make video about diffrential equations?
thank you
I loved it very much
Thank you so much!
Can you please explain from the trapezoidal sum where you get the 1/2 from and from the left and right endpoint are you multiplying the 1 as well?
Thank you
if the question didn't give you the number of rectangles, would you just use n. so it would be (3-0)/n=3/n? so the number line would be 3/n+6/n+9/n etc? until 3
OMg so helpful thank you so much
thanks , that was AWESOME
Hey duke osain - I'm so glad we were able to help you out!
Please start posting more videos
hi, quick question, how would I answer this question if the width of the rectangles were different, say 0 to 2 then 2 to 3?
Fantastic.
Nice! I will record a similar class in portuguese.
Thank you!
Thanks! Let me know when it's available - I'd like to see it.
what if we don't have the number of triangles mentioned in the question?
Awesome😺
Good video but why not multiply them out? (Or add)
God this was so helpful
awesome
Nice
+Carlos Villegas :)
You're my last chance at passing calc!
Ahhhhhhhhhhhh! I get it!
I GET IT
Thank you
you're welcome!
Awesome😺
Thank you so much!!!