CALCULUS II SECTION 2 FALL 2020 UPDATE PAGE

SITARAMAN


Here you will see information on what was covered in class, upcoming quizzes, and solutions to exams
CHECK HERE EVERYDAY !

SCROLL DOWN BELOW TO SEE SOLUTIONS OF TESTS AND QUIZZES FROM THIS COURSE

Please make sure you have Zoom and Echo360 software on your computer.
Instructions for installing Echo360 on COURSE PAGE.

OPTIONAL: It will be useful to have access the online homework website Webassign.
It is linked in Blackboard. Details soon.

Tentative schedule of daily topics (SYLLABUS)
Ignore dates, and section 10.6. Will try to stick to this schedule as much as possible.

TESTS AND QUIZZES FROM SPRING 2020 CALCULUS 2

TESTS AND QUIZZES FROM FALL 2019 CALCULUS I FOR REVIEW

OLD FINAL EXAMS

FOR SOLUTIONS FOR OLD TESTS from Spring 2020, Fall 2013, FALL 2010, SPRING 2009 ETC.,  go to OLD COURSES.
Click on the desired course, then click on UPDATE.


FALL 2020 TUTORING SCHEDULE AND EMAILS

EXAMS WILL BE ANNOUNCED BELOW






FINAL EXAM DEC 1 TUE 3.30 TO 5.30PM EST ON ZOOM.
REVIEW MONDAY 3-4PM.
Fall 2013 Final
Other OLD FINAL EXAMS
Review of Chapter 11 from last year.

Monday, 11/30/2020
Gradesheet was shown in class and posted on blackboard.
Today we went over last fall's final exam.
You can watch class video on echo360.
Zoom link for final exam and instructions for the same are posted on Blackboard.
It was also emailed to you.




Tuesday, 11/24/2020
Gradesheet was shown in class. Will post it on blackboard tonight.
QUIZZES THIS WEEK ONLY FOR PEOPLE WHO MISSED ATLEAST ONE QUIZ.
You can watch class video on echo360.
Zoom link for next class is posted on Blackboard.

NOTES ON WRITING FUNCTIONS AS TAYLOR SERIES.
We looked at how to write the Taylor series and Maclaurin series expansions for functions.
nice video on Taylor series



Monday, 11/23/2020
Gradesheet was shown in class. Will post it on blackboard.
QUIZZES THIS WEEK ONLY FOR PEOPLE WHO MISSED ATLEAST ONE QUIZ.
Call me between 4pm and 5 pm on monday or tuesday. First come first served.
You can watch class video on echo360.
Zoom link for next class are posted on Blackboard.

NOTES ON WRITING FUNCTIONS AS POWER SERIES.
We did problem 4 from 11.9 and it is in the notes / video.



Friday, 11/20/2020
QUIZZES NEXT WEEK ONLY FOR PEOPLE WHO MISSED ATLEAST ONE QUIZ.
Call me between 4pm and 5 pm on monday or tuesday. First come first served.
Will try to post gradesheet over the weekend.

You can watch class video on echo360.
Zoom link for next class are posted on Blackboard.

NOTES ON BASICS OF POWER SERIES.
We did problem 31 from 11.8 and it is in the video.
This will be your HOMEWORK PROBLEM for today.



Wednesday, 11/18/2020
I will tell you your current grade when you take quiz.
NOTE THAT THERE ARE NO MAKE-UPS FOR QUIZZES.
MAKE SURE YOU DON'T MISS ANY MORE QUIZZES.

You can watch class video on echo360.
Zoom link for next class and sign up sheet for quiz12 are posted on Blackboard.
PLEASE SIGN UP FOR QUIZ IF YOU HAVEN'T ALREADY DONE SO.

NOTES ON BASICS OF POWER SERIES.
We did problem 7 from 11.8 and it is in the notes / video.
We did problems 20 and 35 from 11.6 and 25 from 11.7 and it is all in the video.
These will be your HOMEWORK PROBLEMS for today.



Tuesday, 11/17/2020
I will tell you your current grade when you take quiz.
NOTE THAT THERE ARE NO MAKE-UPS FOR QUIZZES.
MAKE SURE YOU DON'T MISS ANY MORE QUIZZES.

You can watch class video on echo360.
Zoom link for next class and sign up sheet for quiz12 are posted on Blackboard.
PLEASE SIGN UP FOR QUIZ IF YOU HAVEN'T ALREADY DONE SO.

NOTES ON RATIO AND ROOT TESTS.
We did problems 2, 17, 20 from 11.6 and it is all in the notes / video.
We did problem 19 from 11.5 (using ratio test) and 35 from 11.7 and 15, 29, 31 and 45 from 11.6 and it is in the video.
These will be your HOMEWORK PROBLEMS for today.
Here are some old notes with more problems from 11.6 and 11.7 just for practice.
Try them first before reading! We will not do 11.7 in class.
PROBLEMS FROM 11.7.
PROBLEM SESSION FROM LAST YEAR, ON SERIES.



Monday, 11/16/2020
I will tell you your current grade when you take quiz.
NOTE THAT THERE ARE NO MAKE-UPS FOR QUIZZES.
MAKE SURE YOU DON'T MISS ANY MORE QUIZZES.

You can watch class video on echo360.
Zoom link for next class and sign up sheet for quiz12 are posted on Blackboard.
PLEASE SIGN UP FOR QUIZ IF YOU HAVEN'T ALREADY DONE SO.

NOTES ON ALTERNATING SERIES TEST.
We did problem 27 from 11.3 (actually an alternating series) and 29, 34 from 11.5 and it is all in the notes / video.
We also did problem 17 , 19, and 32 from 11.5 and it is in the video.
These will be your HOMEWORK PROBLEMS for today.



Friday, 11/13/2020
NOTE THAT THERE ARE NO MAKE-UPS FOR QUIZZES.
MAKE SURE YOU DON'T MISS ANY MORE QUIZZES.

You can watch class video on echo360.
Zoom link for next class and sign up sheet for quiz12 are posted on Blackboard.
PLEASE SIGN UP FOR QUIZ IF YOU HAVEN'T ALREADY DONE SO.

NOTES ON COMPARISON TEST.
We also did problem 27, 28 and 39 from 11.3 and it is in the video.
--> These will be your HOMEWORK PROBLEMS for today.



Wednesday, 11/11/2020
If you missed class today because it was a holiday that is okay. My apologies for using last year's calendar.
I am not counting attendance or polls today but please do watch the video on echo360.

NOTE THAT THERE ARE NO MAKE-UPS FOR QUIZZES.
MAKE SURE YOU DON'T MISS ANY MORE QUIZZES.

You can watch class video on echo360.
Zoom link for next class and sign up sheet for quiz11 are posted on Blackboard.
PLEASE SIGN UP FOR QUIZ IF YOU HAVEN'T ALREADY DONE SO.

NOTES ON COMPARISON TEST.
We did problem 4, 10 and 31 from 11.4 and it is in the notes / video.
These will be your HOMEWORK PROBLEMS for today.



Tuesday, 11/10/2020
NOTE THAT THERE ARE NO MAKE-UPS FOR QUIZZES.
MAKE SURE YOU DON'T MISS ANY MORE QUIZZES.

You can watch class video on echo360.
Zoom link for next class and sign up sheet for quiz11 are posted on Blackboard.
PLEASE SIGN UP FOR QUIZ IF YOU HAVEN'T ALREADY DONE SO.

NOTES ON INTEGRAL TEST.
We did problem 30 and 38 from 11.3 and it is in the notes / video.
We also did problem 19 from 11.3 and it is in the video.
These will be your HOMEWORK PROBLEMS for today.



Friday, 11/6/2020
NOTE THAT THERE ARE NO MAKE-UPS FOR QUIZZES.
MAKE SURE YOU DON'T MISS ANY MORE QUIZZES.

You can watch class video on echo360.
Zoom link for next class and sign up sheet for quiz11 are posted on Blackboard.
PLEASE SIGN UP FOR QUIZ IF YOU HAVEN'T ALREADY DONE SO.

NOTES ON SERIES.
We did some problems on geometric and telescoping series.
We also did problems 38, 47 and 57 from 11.2 and 42 from 11.1 and it is all in the video.
These will be your HOMEWORK PROBLEMS for today.



Wednesday, 11/4/2020
NOTE THAT THERE ARE NO MAKE-UPS FOR QUIZZES.
MAKE SURE YOU DON'T MISS ANY MORE QUIZZES.

You can watch class video on echo360.
Zoom link for next class and sign up sheet for quiz10 are posted on Blackboard.
PLEASE SIGN UP FOR QUIZ IF YOU HAVEN'T ALREADY DONE SO.

NOTES ON SERIES.
We did some problems on geometric and telescoping series.
We did problem 48 from 11.2 and it is in the notes / video.
We also did problems 9, 51 and 55 from 11.2 and it is all in the video.
These will be your HOMEWORK PROBLEMS for today.



Tuesday, 11/3/2020
NOTE THAT THERE ARE NO MAKE-UPS FOR QUIZZES.
MAKE SURE YOU DON'T MISS ANY MORE QUIZZES.

NO IN CLASS POLLS TOMORROW. SO YOU CAN WATCH VIDEO IF YOU CANNOT ATTEND.


You can watch class video on echo360.
Zoom link for next class and sign up sheet for quiz10 are posted on Blackboard.
PLEASE SIGN UP FOR QUIZ IF YOU HAVEN'T ALREADY DONE SO.

NOTES ON SERIES.
We discussed the basic idea of series (infinite sums) and did some problems on sequences.
We also talked about these Challenge Problems.
Please try these for fun. If you are able to do them yourself I can mention it in recommendation letters.
We did problems 35, 45, 52 and 67 from 11.1 and it is all in the video.
These will be your HOMEWORK PROBLEMS for today.



Monday, 11/2/2020
NOTE THAT THERE ARE NO MAKE-UPS FOR QUIZZES.
MAKE SURE YOU DON'T MISS ANY MORE QUIZZES.

NO IN CLASS POLLS TOMORROW. SO YOU CAN WATCH VIDEO IF YOU CANNOT ATTEND.


You can watch class video on echo360.
Zoom link for next class and sign up sheet for quiz10 are posted on Blackboard.
PLEASE SIGN UP FOR QUIZ IF YOU HAVEN'T ALREADY DONE SO.

NOTES ON SEQUENCES.
We did problems 14, 16 and 18 from 11.1 and it is in the notes / video.
We also did problems 11, 17 and 47 from 11.1 and it is in the video.
These will be your HOMEWORK PROBLEMS for today.



Friday, 10/30/2020
NOTE THAT THERE ARE NO MAKE-UPS FOR QUIZZES.
MAKE SURE YOU DON'T MISS ANY MORE QUIZZES.

You can watch class video on echo360.
Zoom link for next class and sign up sheet for quiz10 are posted on Blackboard.
PLEASE SIGN UP FOR QUIZ IF YOU HAVEN'T ALREADY DONE SO.

NOTES ON CONIC SECTIONS (PARABOLA, ELLIPSE, HYPERBOLA).
We did problem similar to 23 from 10.5 and it is in the notes / video.
We also did problem 21 from 10.4 and it is in the video.
These will be your HOMEWORK PROBLEMS for today.



Wednesday, 10/28/2020
NOTE THAT THERE ARE NO MAKE-UPS FOR QUIZZES.
MAKE SURE YOU DON'T MISS ANY MORE QUIZZES.

You can watch class video on echo360.
Zoom link for next class and sign up sheet for quiz9 are posted on Blackboard.
PLEASE SIGN UP FOR QUIZ IF YOU HAVEN'T ALREADY DONE SO.

NOTES ON CONIC SECTIONS (PARABOLA, ELLIPSE, HYPERBOLA).
We did problem 50 from 10.5 and it is in the notes / video.
We also did problems 27, 29 and 33 from 10.5 and it is all in the video.
These will be your HOMEWORK PROBLEMS for today.



Tuesday, 10/27/2020
NOTE THAT THERE ARE NO MAKE-UPS FOR QUIZZES.
MAKE SURE YOU DON'T MISS ANY MORE QUIZZES.

You can watch class video on echo360.
Zoom link for next class and sign up sheet for quiz9 are posted on Blackboard.
PLEASE SIGN UP FOR QUIZ IF YOU HAVEN'T ALREADY DONE SO.

NOTES ON USING POLAR COORDINATES.
We studied the graph and equation and area of the curve r = 2+sin(4theta) in polar coordinates (10.4, problem 13).
We also did problems 21 from 10.1 and 24 from 10.3 and it is all in the video.
These will be your HOMEWORK PROBLEMS for today.



Monday, 10/26/2020
NOTE THAT THERE ARE NO MAKE-UPS FOR QUIZZES.
MAKE SURE YOU DON'T MISS ANY MORE QUIZZES.

You can watch class video on echo360.
Zoom link for next class and sign up sheet for quiz9 are posted on Blackboard.
PLEASE SIGN UP FOR QUIZ IF YOU HAVEN'T ALREADY DONE SO.

NOTES ON USING POLAR COORDINATES.
We studied the graph and equation of the lemniscate in polar coordinates.
We also did problems 1, 9 and 47 from 10.4 and it is in the video.
These will be your HOMEWORK PROBLEMS for today.



Friday, 10/23/2020
GRADES AS OF NOW ARE POSTED ON BLACKBOARD.
NOTE THAT THERE ARE NO MAKE-UPS FOR QUIZZES.
MAKE SURE YOU DON'T MISS ANY MORE QUIZZES.

You can watch class video on echo360.
Zoom link for next class and sign up sheet for quiz8 will be posted on Blackboard.
PLEASE SIGN UP FOR QUIZ IF YOU HAVEN'T ALREADY DONE SO.

NOTES ON USING POLAR COORDINATES.
We did some problems on polar coordinates.
We did problems 19, 22, 23, 64 and 65 from 10.3 and it is in the video.
These will be your HOMEWORK PROBLEMS for today.



Wednesday, 10/21/2020
GRADES AS OF NOW ARE POSTED ON BLACKBOARD.
NOTE THAT THERE ARE NO MAKE-UPS FOR QUIZZES.
MAKE SURE YOU DON'T MISS ANY MORE QUIZZES.

You can watch class video on echo360.
Zoom link for next class and sign up sheet for quiz8 will be posted on Blackboard.
PLEASE SIGN UP FOR QUIZ IF YOU HAVEN'T ALREADY DONE SO.

NOTES ON USING POLAR COORDINATES.
We did some problems on polar coordinates.
We did problem 18 from 10.3 and it is only in the notes.
We also did problems 15, 16, 21, 25 and 33 from 10.3 and it is in the video.
These will be your HOMEWORK PROBLEMS for today.



Tuesday, 10/20/2020
GRADES AS OF NOW ARE POSTED ON BLACKBOARD.
NOTE THAT THERE ARE NO MAKE-UPS FOR QUIZZES.
MAKE SURE YOU DON'T MISS ANY MORE QUIZZES.

You can watch class video on echo360.
Zoom link for next class and sign up sheet for quiz8 will be posted on Blackboard.
PLEASE SIGN UP FOR QUIZ IF YOU HAVEN'T ALREADY DONE SO.

NOTES ON USING POLAR COORDINATES.
We did some problems on parametric equations (notes are below) and started with polar coordinates.
We also discussed problem 46 from 10.1 and it is in the video.
These will be your HOMEWORK PROBLEMS for today.



Monday, 10/19/2020
GRADES AS OF NOW WILL BE POSTED ON BLCKBOARD.
NOTE THAT THERE ARE NO MAKE-UPS FOR QUIZZES.
MAKE SURE YOU DON'T MISS ANY MORE QUIZZES.

You can watch class video on echo360.
Zoom link for next class and sign up sheet for quiz8 will be posted on Blackboard.
PLEASE SIGN UP FOR QUIZ IF YOU HAVEN'T ALREADY DONE SO.

NOTES ON DERIVATIVES USING PARAMETRIC EQUATIONS.
We discussed how to find derivative, area, length of arc, surface area etc., using parametric equations.
We did problem 31 from 10.2 and it is only in the notes.
We also discussed problems 9, 11 and 33 from 10.2 and they are in the video.
These will be your HOMEWORK PROBLEMS for today.



Friday, 10/16/2020
GRADES AS OF NOW WILL BE POSTED ON BLCKBOARD.
NOTE THAT THERE ARE NO MAKE-UPS FOR QUIZZES.
MAKE SURE YOU DON'T MISS ANY MORE QUIZZES.

You can watch class video on echo360.
Zoom link for next class and sign up sheet for quiz8 will be posted on Blackboard.
PLEASE SIGN UP FOR QUIZ IF YOU HAVEN'T ALREADY DONE SO.

NOTES ON PARAMETRIC EQUATIONS.
We also discussed problems 8, 10 and 14 from 10.1 and they are in the video.
These will be your HOMEWORK PROBLEMS for today.



Wednesday, 10/14/2020
You can watch class video on echo360.
Zoom link for next class and sign up sheet for quiz7 will be posted on Blackboard.
PLEASE SIGN UP FOR QUIZ IF YOU HAVEN'T ALREADY DONE SO.

NOTES ON PARAMETRIC EQUATIONS.
We also reviewed 8.4, applications to economics (see notes below).
We also discussed problems 1 and 7 from 8.4 and they are in the video.
These will be your HOMEWORK PROBLEMS for today.



Tuesday, 10/13/2020
NO LIVE CLASS TODAY -- I havel recorded on echo360 and you can watch it anytime today.
Quizzes will be as scheduled, starting 4.30pm.
On wednesday I will ask poll questions based on this recording.


Zoom link for next class and sign up sheet for quiz7 will be posted on Blackboard.
Please log in to see today's class video on Echo360.
PLEASE SIGN UP FOR QUIZ IF YOU HAVEN'T ALREADY DONE SO.

NOTES ON APPLICATIONS TO ECONOMY AND BIOLOGY.
We discussed problems 4, 16, 18 and 21 from 8.4 and they are in notes/video.
These will be your HOMEWORK PROBLEMS for today.



Monday, 10/12/2020
Tomorrow's class will be asynchronous (due to medical appointment) -- I will record on echo360 and you can watch it anytime tomorrow.
Quizzes will be as scheduled, starting 4.30pm.
On wednesday I will ask poll questions based on tomorrow's recording.


Zoom link for next class and sign up sheet for quiz7 will be posted on Blackboard.
Please log in to see today's class video on Echo360.
PLEASE SIGN UP FOR QUIZ IF YOU HAVEN'T ALREADY DONE SO.

NOTES ON FLUID PRESSURE AND CENTER OF MASS.
We discussed problems 29 and 34 from 8.3 and they are in notes.
We also discussed problem 31 from 8.3 and it is in video.
These will be your HOMEWORK PROBLEMS for today.



Friday, 10/9/2020
Zoom link for next class and sign up sheet for quiz7 will be posted on Blackboard.

I am sorry I forgot to record class today but I have posted slides of problems wwe did in class below.

PLEASE SIGN UP FOR QUIZ IF YOU HAVEN'T ALREADY DONE SO.

NOTES ON FLUID PRESSURE.
We went over problem 19 from 8.1, problems 7 and 30 from 8.2 See slides below.
8.1.19 page1 ; 8.1.19 page2 ; 8.1.19 page3.
8.2.7 ; 8.2.30.
These will be your HOMEWORK PROBLEMS for today.



Wednesday, 10/7/2020
Zoom link for next class and sign up sheet for quiz6 will be posted on Blackboard.

Please LOG IN TO ECHO360 to view video of today's class.

PLEASE SIGN UP FOR QUIZ IF YOU HAVEN'T ALREADY DONE SO.

NOTES ON FLUID PRESSURE.
We discussed problem 7 and 14 from 8.3 and they are in notes.
We also went over problem 1 from 8.3 and it is in the video.
These will be your HOMEWORK PROBLEMS for today.



Tuesday, 10/6/2020
Zoom link for next class and sign up sheet for quiz6 will be posted on Blackboard.

Please LOG IN TO ECHO360 to view video of today's class.

PLEASE SIGN UP FOR QUIZ IF YOU HAVEN'T ALREADY DONE SO.

NOTES ON SURFACE AREA.
We discussed problem 8 from 8.2 along with others and they are in notes.
We also went over problem 11 from 8.2 and it is in the video.
These will be your HOMEWORK PROBLEMS for today.



Monday, 10/5/2020
Zoom link for next class and sign up sheet for quiz6 will be posted on Blackboard.

Please LOG IN TO ECHO360 to view video of today's class.

PLEASE SIGN UP FOR QUIZ IF YOU HAVEN'T ALREADY DONE SO.

NOTES ON ARC LENGTH.
We went over problems 9, 39 and 41 from 8.1 and they are in the video.
These will be your HOMEWORK PROBLEMS for today.



Friday, 10/2/2020
Zoom link for next class and sign up sheet for quiz6 will be posted on Blackboard.

Please LOG IN TO ECHO360 to view video of today's class.

PLEASE SIGN UP FOR QUIZ IF YOU HAVEN'T ALREADY DONE SO.

NOTES ON INFINITE INTEGRALS.
We went over problems 58 and 61 from 7.8 and they are in the video.
These will be your HOMEWORK PROBLEMS for today.



Wednesday, 9/30/2020
Starting this week (quiz 5 onwards) quizzes will be out of 30 and there won't be extra credit.
Towards the end of the semester I will reassess again and see how much extra credit to give, to attendance, polls and quizzes.

Zoom link for next class and sign up sheet for quiz5 will be posted on Blackboard.

Please LOG IN TO ECHO360 to view video of today's class.

PLEASE SIGN UP FOR QUIZ IF YOU HAVEN'T ALREADY DONE SO.

NOTES ON INFINITE INTEGRALS.
We discussed problems 10, 17, 32, 49, 65 from 7.8 and they are in notes.
We also went over problems 5 and 13 from 7.8 and they are in the video.
These will be your HOMEWORK PROBLEMS for today.



Tuesday, 9/29/2020
Starting this week (quiz 5 onwards) quizzes will be out of 30 and there won't be extra credit.
Towards the end of the semester I will reassess again and see how much extra credit to give, to attendance, polls and quizzes.

Zoom link for next class and sign up sheet for quiz5 will be posted on Blackboard.

Please LOG IN TO ECHO360 to view video of today's class.

PLEASE SIGN UP FOR QUIZ IF YOU HAVEN'T ALREADY DONE SO.

NOTES ON INFINITE INTEGRAls.
We went over problems 1 and 2 from 7.8 and they are in the video.
These will be your HOMEWORK PROBLEMS for today.



Monday, 9/28/2020
Starting this week (quiz 5 onwards) quizzes will be out of 30 and there won't be extra credit.
Towards the end of the semester I will reassess again and see how much extra credit to give, to attendance, polls and quizzes.

Zoom link for next class and sign up sheet for quiz5 will be posted on Blackboard.

Please LOG IN TO ECHO360 to view video of today's class.

PLEASE SIGN UP FOR QUIZ IF YOU HAVEN'T ALREADY DONE SO.

NOTES ON APPROXIMATE INTEGRATION.
We went over problems 6 and 15 from 7.7 and they are in the notes as well as video.
The video has solutions for 7.7 problem 40 that we went over.
Please also try problems 1 to 8 of these review problems on integration.
These will be your HOMEWORK PROBLEMS for today.



Friday, 9/25/2020
Starting next week (quiz 5 onwards) quizzes will be out of 30 and there won't be extra credit.
Towards the end of the semester I will reassess again and see how much extra credit to give, to attendance, polls and quizzes.

Zoom link for next class and sign up sheet for quiz5 will be posted on Blackboard.

Please LOG IN TO ECHO360 to view video of today's class.

PLEASE SIGN UP FOR QUIZ IF YOU HAVEN'T ALREADY DONE SO.

The video has solutions for 7.4 problems 57 and 60 that we went over.
These will be your HOMEWORK PROBLEMS for today.



Wednesday, 9/23/2020
Gradesheet has been posted. After next week no more extra credit for quizzes..
This week quiz 4 will still be as usual, with 10 points extra credit.
Starting next week (quiz 5 onwards) quizzes will be out of 30 and there won't be extra credit.
Towards the end of the semester I will reassess again and see how much extra credit to give, to attendance, polls and quizzes.

Zoom link for next class and sign up sheet for quiz4 will be posted on Blackboard.

Please LOG IN TO ECHO360 to view video of today's class.

PLEASE SIGN UP FOR QUIZ IF YOU HAVEN'T ALREADY DONE SO.

NOTES ON INTEGRATION USING PARTIAL FRACTIONS.
We integrated rational functions using partial fractions (quadratic factors in denominator).
The notes has solutions for 7.4 problems 16, 30 and 47 that we went over.
We did problems 41 and 53 from 7.4 and they are in the video.
These will be your HOMEWORK PROBLEMS for today.



Tuesday, 9/22/2020
Gradesheet has been posted. After next week no more extra credit for quizzes..
This week quiz 4 will still be as usual, with 10 points extra credit.
Starting next week (quiz 5 onwards) quizzes will be out of 30 and there won't be extra credit.
Towards the end of the semester I will reassess again and see how much extra credit to give, to attendance, polls and quizzes.

Zoom link for next class and sign up sheet for quiz4 will be posted on Blackboard.

Please LOG IN TO ECHO360 to view video of today's class.

PLEASE SIGN UP FOR QUIZ IF YOU HAVEN'T ALREADY DONE SO.

NOTES ON INTEGRATION USING PARTIAL FRACTIONS.
We integrated rational functions using partial fractions (linear factors in denominator).
We did problems 17 and 19 from 7.4 and they are in the video.
These will be your HOMEWORK PROBLEMS for today.



Monday, 9/21/2020
Gradesheet has been posted. After next week no more extra credit for quizzes..
This week quiz 4 will still be as usual, with 10 points extra credit.
Starting next week (quiz 5 onwards) quizzes will be out of 30 and there won't be extra credit.
Towards the end of the semester I will reassess again and see how much extra credit to give, to attendance, polls and quizzes.

Zoom link for next class and sign up sheet for quiz4 will be posted on Blackboard.

Please LOG IN TO ECHO360 to view video of today's class.

PLEASE SIGN UP FOR QUIZ IF YOU HAVEN'T ALREADY DONE SO.
SIGN UP FOR MONDAY OR TUESDAY. PLEASE DON'T WAIT UNTIL FRIDAY TO SIGN UP.

NOTES ON TRIGONOMETRIC SUBSTITUTION.
We integrated algebraic functions using trigonometric substitution.
We did problems 3 and 9 from 7.3 and they are in the video.
These will be your HOMEWORK PROBLEMS for today.



Friday, 9/18/2020
Gradesheet will be posted soon. After next week no more extra credit for quizzes. Details soon.
Zoom link for next class and sign up sheet for quiz4 will be posted on Blackboard.

Please LOG IN TO ECHO360 to view video of today's class.

PLEASE SIGN UP FOR QUIZ IF YOU HAVEN'T ALREADY DONE SO.
SIGN UP FOR MONDAY OR TUESDAY. PLEASE DON'T WAIT UNTIL FRIDAY TO SIGN UP.

NOTES ON INTEGRATION OF TRIGONOMETRIC FUNCTIONS.
We did problems 20, 28, 42 and 48 from 7.2 and they are in notes and the video.
We also did problems 13, 14, 15, 16, 45 and 46 from 7.2. They are in the video.
These will be your HOMEWORK PROBLEMS for today.



WEDNESDAY, 9/16/2020
Zoom link for next class, PHONE NUMBER AND SIGN UP SHEET FOR QUIZ 3 will be posted on Blackboard.

Please LOG IN TO ECHO360 to view video of today's class.

PLEASE SIGN UP FOR QUIZ IF YOU HAVEN'T ALREADY DONE SO.
PLEASE DON'T WAIT UNTIL FRIDAY TO SIGN UP.

INFORMATION ON TUTORING ABOVE, AT TOP OF PAGE.
NOTES ON INTEGRATION OF TRIGONOMETRIC FUNCTIONS.
We also did problems 2, 4 and 10 from 7.2 during class and problem session. They are in the notes as well as video.
These will be your HOMEWORK PROBLEMS for today.



TUESDAY, 9/15/2020
Zoom link for next class, PHONE NUMBER AND SIGN UP SHEET FOR QUIZ 3 will be posted on Blackboard.

Please LOG IN TO ECHO360 to view video of today's class.

PLEASE SIGN UP FOR QUIZ IF YOU HAVEN'T ALREADY DONE SO.
PLEASE DON'T WAIT UNTIL FRIDAY TO SIGN UP.

INFORMATION ON TUTORING ABOVE, AT TOP OF PAGE.
NOTES ON INTEGRATION BY PARTS (REVISED: REFRESH BROWSER!).
We talked more about integration by parts.
We also did problems 16, 20 and 21 from 7.1 during problem session. They are in video.
We also discussed 8, 18, 27 and 37 from 7.1 in class. They are in notes.
These will be your HOMEWORK PROBLEMS for today.
If you missed them you can check out the recording on echo360.




MONDAY, 9/14/2020
Zoom link for next class, PHONE NUMBER AND SIGN UP SHEET FOR QUIZ 3 will be posted on Blackboard.

Please LOG IN TO ECHO360 to view video of today's class.

PLEASE SIGN UP FOR QUIZ IF YOU HAVEN'T ALREADY DONE SO.
PLEASE DON'T WAIT UNTIL FRIDAY TO SIGN UP.

INFORMATION ON TUTORING ABOVE, AT TOP OF PAGE.
NOTES ON INTEGRATION BY PARTS.
We talked about the basics of integration by parts.
We also did problems 7, 8, 9, and 15 from 7.1.
These will be your HOMEWORK PROBLEMS for today.
If you missed them you can check out the recording on echo360.




FRIDAY, 9/11/2020
Zoom link for next class, PHONE NUMBER AND SIGN UP SHEET FOR QUIZ 3 will be posted on Blackboard.

From now on you need to LOG IN TO ECHO360 in order to view videos.

PLEASE SIGN UP FOR QUIZ IF YOU HAVEN'T ALREADY DONE SO.
PLEASE DON'T WAIT UNTIL FRIDAY TO SIGN UP.

INFORMATION ON TUTORING ABOVE, AT TOP OF PAGE.
We finished NOTES ON WORK
and also these NOTES ON AVERAGE VALUE.

We also did problems 33 from 6.4 and 22, 25 from 6.5.
These will be your HOMEWORK PROBLEMS for today.
If you missed them you can check out the recording on echo360.




WEDNESDAY, 9/9/2020
Zoom link for next class, PHONE NUMBER AND SIGN UP SHEET FOR QUIZ 2 will be posted on Blackboard.

From now on you need to LOG IN TO ECHO360 in order to view videos.

PLEASE SIGN UP FOR QUIZ IF YOU HAVEN'T ALREADY DONE SO.

INFORMATION ON TUTORING ABOVE, AT TOP OF PAGE.
We finished NOTES ON WORK
and also these NOTES ON WORK

We also did problems 33, 21 from 6.4 and 10, 21 from 6.5.
These will be your HOMEWORK PROBLEMS for today.
If you missed them you can check out the recording on echo360.




TUESDAY, 9/8/2020
Zoom link for next class, PHONE NUMBER AND SIGN UP SHEET FOR QUIZ 2 will be posted on Blackboard.

From now on you need to LOG IN TO ECHO360 in order to view videos.

PLEASE SIGN UP FOR QUIZ IF YOU HAVEN'T ALREADY DONE SO.

INFORMATION ON TUTORING ABOVE, AT TOP OF PAGE.
NOTES FROM TODAY
We calculated work done by a force.
We also did problems 1, 3, 9, 13 from 6.4.
These will be your HOMEWORK PROBLEMS for today.
If you missed them you can check out the recording on echo360.




SATURDAY, 9/5/2020
Zoom link for next class, PHONE NUMBER AND SIGN UP SHEET FOR QUIZ 2 and video recording of yesterday's class will be posted on Blackboard.

We now have polls during class, and they will count towards grade.

ALL DETAILS FOR QUIZ ON COURSE PAGE.
Please use Facetime or Google Duo.
PLEASE SIGN UP FOR QUIZ IF YOU HAVEN'T ALREADY DONE SO.

INFORMATION ON TUTORING ABOVE, AT TOP OF PAGE.
NOTES FROM YESTERDAY
We did more problems on finding volume using cylindrical shells for solids of revolution.
We also did problems 6 from 6.3 and a problem from the review test (see notes above).
These will be your HOMEWORK PROBLEMS for yesterday.
If you missed them you can check out the recording on echo360.




THURSDAY, 9/3/2020
Zoom link for next class, PHONE NUMBER AND SIGN UP SHEET FOR QUIZ 1 and video recording of yesterday's class will be posted on Blackboard.

We now have polls during class, and they will count towards grade.

ALL DETAILS FOR QUIZ ON COURSE PAGE.
Please use Facetime or Google Duo.
PLEASE SIGN UP FOR QUIZ IF YOU HAVEN'T ALREADY DONE SO.
NOTES FROM YESTERDAY
We talked about finding volume using cylindrical shells for solids of revolution.
We also did problems 1, 5, 11 from 6.3.
These will be your HOMEWORK PROBLEMS for yesterday.
If you missed them you can check out the recording on echo360.

IMPORTANT:Please also go to Journal under "Tools", click on "Create Entry" and upload an honor code affirmation statement as instructed there.




TUESDAY, 9/1/2020
Zoom link for tuesday's class, PHONE NUMBER AND SIGN UP SHEET FOR QUIZ 1 and video recording of today's class will be posted on Blackboard.

We now have polls during class, and they will count towards grade.

ALL DETAILS FOR QUIZ ON COURSE PAGE.
Please use Facetime or Google Duo.
NOTES FROM TODAY
We talked about finding volume using slices for solids of revolution.
We also did problems 7, 41 from 6.2.
These will be your HOMEWORK PROBLEMS for today.
If you missed them you can check out the recording on echo360.

Please do the Calculus review problems by wednesday the 2nd.
Extra credit 3 points for uploading to blackboard by then.
Please go to Journal under "Tools", look for "Calculus review problems", click on "Create Entry" and upload your answers as instructed there, for extra credit.

IMPORTANT:Please also go to Journal under "Tools", click on "Create Entry" and upload an honor code affirmation statement as instructed there.




MONDAY, 8/31/2020
Zoom link for tuesday's class, PHONE NUMBER AND SIGN UP SHEET FOR QUIZ 1 and video recording of today's class on Blackboard.

Starting monday we will have polls during class, and they will count towards grade.

ALL DETAILS FOR QUIZ ON COURSE PAGE.
Please use Facetime or Google Duo.
NOTES FROM TODAY
We talked about finding volume using slices.
We also did problems 48, 54 from 6.2.
These will be your HOMEWORK PROBLEMS for today.
If you missed them you can check out the recording on echo360.

Please do the Calculus review problems by wednesday the 2nd.
Extra credit 3 points for uploading to blackboard by then.
Please go to Journal under "Tools", look for "Calculus review problems", click on "Create Entry" and upload your answers as instructed there, for extra credit.

IMPORTANT:Please also go to Journal under "Tools", click on "Create Entry" and upload an honor code affirmation statement as instructed there.




FRIDAY, 8/28/2020
Zoom link for monday's class, PHONE NUMBER AND SIGN UP SHEET FOR QUIZ 1 and video recording of today's class on Blackboard.

Starting monday we will have polls during class, and they will count towards grade.

ALL DETAILS FOR QUIZ ON COURSE PAGE.
Please use Facetime or Google Duo.
NOTES FROM TODAY
We talked about finding area between curves. Will continue with these slides friday.

We also did problems 18, 36, 53 from 6.1.
These will be your HOMEWORK PROBLEMS for today.
If you missed them you can check out the recording on echo360.

Please do the Calculus review problems by friday the 29th.
Extra credit 3 points for uploading to blackboard by friday 5pm.
Please go to Journal under "Tools", look for "Calculus review problems", click on "Create Entry" and upload your answers as instructed there, for extra credit.

IMPORTANT:Please also go to Journal under "Tools", click on "Create Entry" and upload an honor code affirmation statement as instructed there.




WEDNESDAY, 8/26/2020
Zoom link for friday's class and video recording of today's class on Blackboard.

NOTES FROM TODAY
We talked about finding area between curves. Will continue with these slides friday.

We also did problems 1, 3, 5, 13 from 6.1.
These will be your HOMEWORK PROBLEMS for today.
If you missed them you can check out the recording on echo360.

Please do the Calculus review problems by friday the 29th.
Extra credit 3 points for uploading to blackboard by friday 5pm.
Please go to Journal under "Tools", look for "Calculus review problems", click on "Create Entry" and upload your answers as instructed there, for extra credit.

IMPORTANT:Please also go to Journal under "Tools", click on "Create Entry" and upload an honor code affirmation statement as instructed there.




Tuesday, 8/25/2020
Zoom link for tomorrow's class and video recording of today's class on Blackboard.

NOTES FROM TODAY
We talked about basics of integration. Will continue with these slides tomorrow.

Please do the Calculus review problems by friday the 29th.
Please go to Journal under "Tools", click on "Create Entry" and upload your answers as instructed there, for extra credit.

IMPORTANT:Please also go to Journal under "Tools", click on "Create Entry" and upload an honor code affirmation statement as instructed there.




Monday, 8/24/2020
Zoom link for tomorrow's class on Blackboard.

NOTES FROM TODAY
We talked about course information, basics of calculus, and two applications to calculus, both involving Euler method.
The first one involves the path of the Apollo 11 spacecraft from Earth to the moon.
We watched this clip from Hidden figures about the same.
The second one is about plotting the spread of infectious diseases (like the coronavirus flu).

Please do the Calculus review problems by friday the 29th.
Please go to Journal under "Tools", click on "Create Entry" and upload your answers as instructed there, for extra credit.

IMPORTANT:Please also go to Journal under "Tools", click on "Create Entry" and upload an honor code affirmation statement as instructed there.

If you need to review Calculus I material, here are the TESTS AND QUIZZES FROM FALL 2019 CALCULUS I

A bit of historical introduction to calculus and Integration from Spring 2018.

Please read this paper, if you are interested, about the ancient Egyptian papyrus discussion of the "Rule of Double False Position."
This can be thought of as a rudimentary form of Newton's method of approximating solutions using tangent and secant lines.
Also read about how Egyptians may have figured out a formula for volume of frustum of a pyramid.