CALCULUS II SECTION 2 SPRING 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

COURSE PAGE WITH GENERAL INFORMATION (GRADING, ETC)

Tentative schedule of daily topics (SYLLABUS)

Will try to stick to this schedule as much as possible.

TESTS AND QUIZZES FROM SPRING 2018 CALCULUS 2

TESTS AND QUIZZES FROM FALL 2019 CALCULUS I FOR REVIEW

OLD FINAL EXAMS

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


TUTORIAL LAB everyday 9am-6pm in ASB-B room 109

EXAMS WILL BE ANNOUNCED BELOW
ROOM CHANGE (1/22/20): WE MEET EVERYDAY IN 213 OF ASB-B (NEAR MY OFFICE AND MATH OFFICE)




WE WILL BE DOING A LOT OF WORK ON WEBASSIGN FROM NOW ON.
You can get into the online homework website Webassign using the class key:   howard 7396 9166
QUICK START INSTRUCTION to see how to get started. Look under "SELF-ENROLMENT" OPTION
You will need an access code that came with the ebook or in the textbook at the time of purchase.


GRADES AS OF 4/8 POSTED ON BLACKBOARD. GRADING SCHEME EMAILED.
LAST DAY TO REQUEST LETTER GRADES IS MONDAY, 13TH.
PLEASE SUBMIT TEACHER EVALUATIONS.

Thursday, 4/23/20.
Today we reviewed chapter 11 (series). Please read Notes from today on chapter 11.
Grades as of 4/22 have been posted on blackboard under "Content."
It is basically same as your grade on 4/8 with extra credit added for classwork (attendance and webassign).
Will be entered into bisonweb early next week.


Wednesday, 4/22/20.
Please read Notes from today on Taylor and Maclaurin series of functions (11.9).
Also read Notes from the problem session today on functions and series.
Tomorrow will be our last class.
We will have an oral quiz on these chapter 11 review problems.


Monday, 4/20/2020
Please read Notes from today on differentiation and integration of power series and functions (11.9).
Also read Notes from the problem session today on radius of convergence.
We also watched this this video on taylor series
We will do Taylor series on wednesday.

Webassign assignment on problems 3, 7, 15 17, 23, 25 from 11.9 posted.
If you can't submit on webassign you can submit a pdf of the hw by email.
Or you can just join problem session next class or set up a separate meeting with me.

Friday, 4/17/2020
Please read Notes from today on power series and radius of convergence (11.8).
Also read Notes from the problem session today on testing various series.
Webassign assignment on problems 3, 5, 7, 9, 15 17 from 11.8 posted. No more extensions.
If you can't submit on webassign you can submit a pdf of the hw by email.
Or you can just join problem session next class or set up a separate meeting with me.

Thursday, 4/16/2020
Please read Notes from today on testing verious series on convergence (11.7).
Also read Notes from the problem session today on absolute convergence, ratio and root tests.
Webassign assignment on problems 3, 5, 7, 11, 13, 17, 23, 28 from 11.7 posted. No more extensions.
If you can't submit on webassign you can submit a pdf of the hw by email.
Or you can just join problem session next class or set up a separate meeting with me.

Wednesday, 4/15/2020
Please read Notes from today on root test, ratio test, absolute convergence (11.6).
Also read Notes from the problem session today on alternating series tests.
Webassign assignment on problems 3, 5, 9, 18, 25, 31, 37 from 11.6 posted. No more extensions.
If you can't submit on webassign you can submit a pdf of the hw by email.
Or you can just join problem session next class or set up a separate meeting with me.

Monday, 4/13/2020
Please read Notes from today on alternating series (11.5).
Also read Notes from the problem session today on comparison tests.
Webassign assignment on problems 3, 7, 11, 17, 23 from 11.5 posted. No more extensions.
If you can't submit on webassign you can submit a pdf of the hw by email.
Or you can just join problem session next class or set up a separate meeting with me.

Friday, 4/10/2020
Please read Notes from today on comparison tests (11.4).
Also read Notes from the problem session today on integral tests.
Webassign assignment on problems 5, 7, 17, 27, 29, 32, 37 from 11.4 posted. No more extensions.
If you can't submit on webassign you can submit a pdf of the hw by email.
Or you can just join problem session next class or set up a separate meeting with me.

Thursday, 4/9/2020
Please read Notes from today on integral and p-test (11.3).
Also read Notes from the problem session today on geometric series and divergence test.
Webassign assignment on problems 7, 11, 17, 21, 27, 29, 37 from 11.3 posted. No more extensions.
If you can't submit on webassign you can submit a pdf of the hw by email.
Or you can just join problem session tomorrow or set up a separate meeting with me.

Wednesday, 4/8/2020
About to email everyone about grades (posted on BB). Please write to ssitaraman AT howard.edu (NOT bison.howard) if you didn't get it.
Please read Notes from today on geometric and telescoping series, divergence test (11.2).
Also read Notes from the problem session today on sequences.
Webassign assignment on problems 15, 23, 27, 33, 37, 43, 59 from 11.2 posted. No more extensions.
If you can't submit on webassign you can submit a pdf of the hw by email.
Or you can just join problem session tomorrow or set up a separate meeting with me.

Monday, 4/6/2020
About to email everyone about classes tomorrow. Please write to ssitaraman AT howard.edu (NOT bison.howard) if you didn't get it.
Please read Notes from today on sequences (11.1).
Also read Notes from the problem session today .
Webassign assignment on problems 9, 15, 23, 42, 43 from 11.1 posted. No more extensions.
If you can't submit on webassign you can submit a pdf of the hw by email.
Or you can just join problem session tomorrow or set up a separate meeting with me.


TEST 3 FRIDAY, APRIL 3.
Review in class thursday.
Review assignment posted on webassign.
If you don't have access yet, here are the problems.
You can also try Spring 2018 test 2 (all except 3,5), Spring 2018 quiz 8 (all except 4), and Spring 2018 test 3 (1 and 2 only).

Thursday, 4/2/2020
About to email everyone about test tomorrow. Please write to ssitaraman AT howard.edu (NOT bison.howard) if you didn't get it.
Please read Notes from today with answers for some review problems.
You can see solutions to all assignment problems (including test 3 review) on webassign by going to "Past assignments", opening the assignment and clicking on "view key." Then for each problem you will have an option to see solutions.


Wednesday, 4/1/2020
About to email everyone about classes tomorrow. Please write to ssitaraman AT howard.edu (NOT bison.howard) if you didn't get it.
Please read Updated Notes from today on derivatives in conic-sections.
Also read Notes from the problem session today .
Please try ellipse and hyperbola problems from test3 review.. Webassign assignment on parabola extended to tomorrow.


Monday, 3/30/2020
About to email everyone about classes on wednesday. Please write to ssitaraman AT howard.edu (NOT bison.howard) if you didn't get it.
Please read Notes from today on derivatives in conic-sections (parabola).
Also read Notes from the problem session today .
Webassign assignment posted. All but the first assignment are due wed April 1.
Assignment posted today consists of problems 1, 5, 7, 9,33, 34 from 10.5.


Friday, 3/27/2020
About to email everyone about classes on monday, grades, etc., Please write to ssitaraman AT howard.edu (NOT bison.howard) if you didn't get it.
Please read Notes from the problem session today.
Also read Notes (updated, refresh browser) from today on derivatives in polar coordinates and length of arc.
Webassign assignment posted. All but the first assignment are due wed April 1.
Assignment posted today consists of problems 1, 7, 19, 31, 47, 55 from 10.4.


Thursday, 3/26/2020
About to email everyone about classes tomorrow. Please write to ssitaraman AT howard.edu (NOT bison.howard) if you didn't get it.
Please read Notes from today on polar coordinates and length of arc.


Wednesday, 3/25/2020
About to email everyone about classes tomorrow. Please write to ssitaraman AT howard.edu (NOT bison.howard) if you didn't get it.
Please read Notes from today on polar coordinates.
Practice problems: 10.3: 8, 15, 17, 21, 31 (also webassign assignment titled "polar coordinates")


Monday, 3/23/2020
I just emailed everyone about classes on wednesday. Please write to ssitaraman AT howard.edu (NOT bison.howard) if you didn't get it.
Please read Notes from today on derivatives of parametric equations, arc length, surface area.
Pracrice problems: 10.2: 1, 5, 11, 25, 35, 41, 63. (25 is a bit harder; rest are part of webassign assignment)

Thursday, 3/19/2020
I just emailed everyone about our classes going forward. Please write to ssitaraman AT howard.edu (NOT bison.howard) if you didn't get it.


Friday, March 13, 2020
See instructions for webassign above. We will be using that a lot from now on.
Today we did more problems from 10.1.-- parametric equations.
Please read Updated Notes (REFRESH BROWSER) from today on parametric equations..
Please try the folowing problems for practice:
10.1 : 1, 4, 5, 11, 13, 21, 45, 28, 33, 40.


Thursday, March 12, 2020
Today we discussed 10.1.-- parametric equations.
Please read Notes from today on parametric equations..
Please try the folowing problems for practice:
10.1 : 1, 4, 28, 33, 40.


Wednesday, March 11, 2020
Sorry for delay in posting. Today was hectic.
Today we finished 8.4.-- applications to economics, biology and finance.
We watched this video on exponential growth and spread of disease such as coronavirus flu
Please read Updated Notes (REFRESH BROWSER) from today on applications to economics, finance and biology.
Please try the folowing problems for practice:
8.4: 1, 5, 9, 13, 15, 21.


Monday, March 6, 2020
Current grades as of 3/5 have been posted on blackboard.
Midterm Grades have been posted on bisonweb (banner).
Today we finished 8.3. We did some practice problems on center of mass of a flat plate.
Please read Updated Notes (REFRESH BROWSER) from today on center of mass of a flat plate.
Please try the folowing problems for practice:
8.3: 1, 5, 9, 13, 27, 28, 31, 39, 44.


Friday, March 6, 2020
I will post current grades as of today on blackboard this afternoon.
Midterm Grades will also be posted.
Today we discussed 8.3, center of mass of a flat plate.
Please read Updated Notes (REFRESH BROWSER) from today on fluid pressure on a vertical plate.
Please try the folowing problems for practice:
8.3: 1, 5, 9 , 13., 27,28, 31, 39,44.


Thursday, March 5, 2020
I will post current grades as of today on blackboard soon.

Today we discussed 8.3, pressure on a wall.
Please read Notes from today on fluid pressure on a vertical plate.
Please try the folowing problems for practice:
8.3: 1, 5, 9 , 13.


Wednesday, March 4, 2020
I have posted current grades on blackboard.

Today we finished 8.2, surface area.
Please read Updated Notes (REFRESH BROWSER) from today on surface area integrals.
Please try the folowing problems for practice:
8.2: 1,7,13,15, 17, 19,28,36.


Monday, March 2, 2020
I have posted current grades on blackboard.

Today we started 8.2, surface area.
Please read Notes from today on surface area integrals.
Please try the folowing problems for practice:
8.2: 1,7,13,19,36.


Friday, Feb 28, 2020
TEST II PROBLEMS
TEST II SOLUTIONS


TEST 2 ON FRIDAY FEB 28. REVIEW IN CLASS THURSDAY FEB 27.
WILL COVER 7.1,7.2,7.3,7.4,7.5,7.7,7.8, 8.1 AND 8.2
PLEASE STUDY CLASS NOTES, PRACTICE PROBLEMS AND THE FOLLOWING:
Problems 4,5,7,8,9,12 of these Review Problems
Problems 4,5,6 of this Spring 2018 Test I ,   all from Quiz 4 from Spring 2018, Quiz 5 from Spring 2018, Quiz 3 from Spring 2018

Wednesday, Feb 26, 2020
I have posted current grades on blackboard.

Today we finished 8.1.
Please read Notes from today on arc length integrals.
Please try the folowing problems for practice:
8.1: 1,3,9,13,15,39,41.


Monday, Feb 24, 2020
I have posted current grades on blackboard.

Today we finished 7.8.
Please read Updated Notes (REFRESH BROWSER) from today on improper (infinite) integrals.
Please try the folowing problems for practice:
7.8: 1, 7,13,21,29,31,49, 61,70,77,81.
For 49 compare given function with 1/x^2.


Friday, Feb 21, 2020
Today we started 7.8.
Please read Notes from today on improper (infinite) integrals.
Please try the folowing problems for practice:
7.8: 1, 7,13,21,29,31,49, 61,70,77,81.
For 49 compare given function with 1/x^2.


Thursday, Feb 20, 2020
Today we finished 7.7.
Please read Notes from today on approximate integration.
Please try the folowing problems for practice:
7.7: 1, 7,15,21,39.


Wednesday, Feb 19, 2020
Today we finished 7.5. Please do the review test on 7.1 to 7.5 in the notes below.
After opening the notes, scroll down to the end.
You can turn in by friday's class for 3 points credit.
Important to try. As long as you have worked on problems, I will give full credit.
Please read Notes from today on integration review, including review test at end.
Please also try the other problems given in notes above, before reading their solutions.


Friday, Feb 14, 2020
Today we finished 7.4. On wednesday 2/19 we will finish 7.5 and do a quick review test on 7.1 to 7.5.
Please read Updated Notes (refresh browser!) from today on partial fractions.
Please try the problems below for practice:
7.4: 7,11,17,23,29,31,39,45,49,67
7.5: 1,3,5,6,7,11,14,20.


Thursday, Feb 13, 2020
Also read Notes from today on partial fractions.

Please try the problems below for practice:
7.4: 7,11,17,23,67


Wednesday, Feb 12, 2020
Also read Updated Notes (REFRESH BROWSER!) from today on trigonometric substitution.

Please try the problems below for practice:
7.3: 3,13,22,35,42.


Monday, Feb 10, 2020
Please read Updated Notes (REFRESH BROWSER!) from today on trigonometric integrals.

Also read Notes from today on trigonometric substitution.

Please try the problems below for practice:
7.2: 41,45,61,67,68,69.
7.3: 3,13,22,3542.


Friday, Feb 7, 2020
Please read Updated Notes (REFRESH BROWSER!) from today on integration by parts.

Also read Notes from today on trigonometric integrals.

Please try the problems in the last page of notes above practice:


Thursday, Feb 6, 2020
Please read Updated Notes (REFRESH BROWSER!) from today on integration by parts.

Please try the following problems from 7.1 for practice:
7.1: 1,3,7,11,15,27,9,33,47,57,61.


Wednesday, Feb 5, 2020
Please read Notes from today on integration by parts.

Please try the following problems from 7.1 for practice:
7.1: 1,3,7,11,15,27.


Sunday, Feb 2, 2020
TEST I PROBLEMS
TEST I SOLUTIONS


TEST I ON JAN 31. REVIEW IN CLASS ON JAN 30 THURSDAY. TEST I ON FRIDAY JAN 31.

PLEASE STUDY CLASS NOTES, PRACTICE PROBLEMS, QUIZ SOLUTIONS AND THE FOLLOWING OLD PROBLEMS:
PLEASE TRY PROBLEMS FIRST BY YOURSELF BEFORE LOOKING AT SOLUTIONS.

Spring 2018 TEST I (ONLY PROBLEMS 1,2, and 3)

TEST I SOLUTIONS ONLY PROBLEMS 1,2 and 3)

Problems 1,2,3,6,7 in Fall 2013 test 1
Problems 1,2,3,6,7 in Fall 2010 Test I.

Wednesday, 1/29/2020
Today we discussed how to calculate the work done by a pump / energy stored in a tank using integration.
We also discussed how to find average value using integration.
Please read Notes from today on average value.

Please also read (REFRESH BROWSER!) Updated Notes on work.
It includes solutions for review /practice test.
Please try the following problems from 6.4 and 6.5 for practice:
6.4: 13,23,33.
6.5: 3,7,9,17.


Monday, 1/27/2020
Today we discussed how to calculate the work done by a spring using integration.
Please read Notes from today on Work.

Please try the following problems from 6.4 for practice:
3,6,7,9.

The solutions for the practice review test are in yesterday's notes -- below.


Friday, 1/24/2020
Today we did another example on how to find the volume of a solid of revolution using cylindrical shells integration.
Please read (REFRESH BROWSER!) Notes from today on cylindrical shells.

Please try the following problems from 6.3 for practice:
1,3,5,11,13,15,17,47,48.

Thursday, 1/23/2020
Today we discussed how to find the volume of a solid of revolution using cylindrical shells integration.
Please read Notes from today on cylindrical shells.

Please try the following problems from 6.3 for practice:
1,3,5,11,13,15,17,47,48.
Please read Updated Notes of 6.2 (volumes of pyramids, cones, etc., using disks and washers)(REFRESH BROWSER!).


Wednesday, 1/21/2020
Today we discussed how to find the volume of a solid of revolution using integration.
Please read Updated Notes from today (REFRESH BROWSER!).

Please try the following problems from 6.2 for practice:
1,3,5,7,9.

Friday, 1/17/2020
Today we discussed how to find the volume of a frustum of pyramid and cone using integration.
Please read Updated Notes from today (REFRESH BROWSER!).

Please try the following problems from 6.2 for practice:
54, 60.

Thursday, 1/16/2020
Today we discussed an example from business using area between curve using integration, and started on finding volumes using integration.
We saw how to find the volume of a pyramid with square base using integration.
Please read Notes from today.

Please try the following problems from 6.2 for practice:
47,48,50,51.

Wednesday, 1/15/2020
Today we discussed area between curve using integration, section 6.1.
Please read Notes from today.

Please try the following problems from 6.1 for practice:
1,3,6,9, 13, 27, 29,49,53.

Monday, 1/13/2020
Today we discussed some basic concepts of calculus, from Calculus I.
Please read Notes from today.
Also please go over the Powerpoint on basics of Integration (Finding volume, area, etc.,).

Please do the Calculus review problems by friday the 17th.
Please go over your answers with me by same date to get extra credit.


Wednesday, 1/8/2020
In the first week we will discuss basic concepts of calculus, from Calculus I, area under curves, and a bit of history: how Egyptians may have figured out a formula for volume of frustum of a pyramid.

Please do the Calculus review problems by friday the 19th.
Please go over your answers with me by same date to get extra credit.

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

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.