Math 120 Section 61-62: (even I share notes I can not write everything I say, also I have a bad hand writing-sometimes hard to read. I strongly suggest you to take notes while you listen to lecture and recitation hours-in that case you can learn better.)
Week 1 (19.03.2021): Notes
Week 7 (30.04.2021): notes
Important note: First, try to solve all these questions yourself, and then check the solution I uploaded, if you still have problems send an e-mail to me or for faster way check helproom for any asistant. When you send me an e-mail, I will try to answer as soon as possible.
Zoom info for recitations and helproom hour:
Math 119 Section 94: (even I share notes I can not write everything I say, also I have a bad hand writing-sometimes hard to read. I strongly suggest you to take notes while you listen to lecture and recitation hours-in that case you can learn better.)
Week 1 (16.10.2020): Notes (recitation)
Week 2 (23.10.2020-30.10.2020): Notes
Week 8 (04.12.2020): Notes
Week 11 (25.12.2020): Notes (updated 06.01.2021)
Week 13 (08.01.2021): Notes (updated 18.01.2021)
Week 14 (15.01.2021): Notes (updated 18.01.2021)
Extra recitation notes from previous years:
Solutions of several questions will be uploaded soon
Quiz solutions for section 62 and 161 (uploaded 10.03.2020)
· you can check cross sections of surfaces with the planes parallel to xy yz and xz axis
· you can change the surface view solid to transparent to see 3 dimensional shape better
· you can play with the coefficients A B C to see the stretching options better
2018-2019 Fall section 13-14 Rec grades (corrections done at 9:30 08.01.2019)
2018-2019 Fall section 23-24-31 Rec grades
2018-2019 Fall Solutions of two questions I promised (one is solved but there is alternative solutions, second was not solved)
2017-2018 section 21 Quiz1 results - solutions
2017-2018 section 32 Quiz1 results - solutions
Extra questions about polar drawing from previous years recitations.
Solutions (2018) of some recitation questions, there might be evaluation mistakes please follow them carefully
Solutions (2018) of some previous questions, there might be evaluation mistakes please follow them carefully
In the following links there are animations of volumes by shell method disc method etc.
If you have problems about visualising application of integrals in finding volumes, take a look at those.
I think it can be helpfull for you to visualize the use of the methods we have learned while you are studying.
http://mathdemos.org/mathdemos/shellmethod/gallery/gallery.html Volume by cylindrical shells
http://mathdemos.org/mathdemos/diskmethod/diskmethodgallery.html (disc method)
http://mathdemos.org/mathdemos/washermethod/gallery/gallery.html (Slicing method)
Rational function integral examples (includes polynomial division and partial fraction)
Quiz 5 and alternative quiz 5 solutions
Section 33-59 quiz 4 solution
Some exercises for sections 33 and 59
20171 section 33 quiz solutions