CALCULUS I SECTION 5 FALL 2021 UPDATE PAGE

SITARAMAN

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

COURSE PAGE WITH SYLLABUS, GRADING SCHEME, ETC.,

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

Class videos will be posted on Echo360.org. Will send invite for logging into Echo360.
Please make sure you have Zoom and Echo360 logins on your computer.
Will send invite for Echo360 and phone number and sign-up sheet for quizzes.

OPTIONAL: It will be useful to have access the online homework website Webassign.
CLASS KEY HOWARD 3364 0727.
You will also need access code that you got when you bought book or e-book.

Tentative schedule of daily topics (SYLLABUS)

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

TESTS AND QUIZZES FROM SPRING 2021 CALCULUS 1
OLD FINAL EXAMS

FOR SOLUTIONS FOR OLD TESTS from Fall 2020, Fall 2019, 2018, FALL 2017 ETC.,  go to OLD COURSES.
Click on the desired course, then click on UPDATE.

Tutoring schedule.
FALL 2021 TUTORING SCHEDULE AND CONTACT EMAILS

EXAMS WILL BE ANNOUNCED BELOW




FINAL EXAM DEC 7 TUE 3.30-5.30 PM.
REVIEW (by tutors) MONDAYS 6PM ON ZOOM (LINK ON BLACKBOARD/EMAIL).

ALL OUTSTANDING ISSUES MUST BE ADDRESSED BY DEC 3, FRI.
ABSOLUTELY NO MAKE-UPS UNDER ANY CIRCUMSTANCES FOR FINAL EXAM.

12-6-21, Monday
GRADESHEET AS OF 12-3-21 HAS BEEN POSTED UNDER 'CONTENT' IN BLACKBOARD.
Solutions for test 3

12/3/2021, Thursday.
GRADESHEET AS OF TODAY HAS BEEN POSTED UNDER 'CONTENT' IN BLACKBOARD.

Clarification of grade scheme will be announced on blackboard.
Today we continued to review Fall 2019 final exam.
Please see video for more.


12/2/2021, Thursday.
GRADESHEET AS OF TODAY HAS BEEN POSTED UNDER 'CONTENT' IN BLACKBOARD.

Today we reviewed Fall 2019 final exam. Will continue it tomorrow.
Please see video for more.


12/1/2021, Wednesday.
Today we finished 5.5, substitution method of integration.
Notes from class
See also notes on Substitution.
Please see video for more.

Practice problems:
5.5: 15,33,34,43,55. (all worked out in these notes; please try them first!)

11/29/2021, Monday.
Today we went over 5.2 TO 5.4, definite integrals and 5.5, substitution method of integration.
Notes from class
See also notes on Definite Integrals
and Substitution.
Please see video for more.

Practice problems:
5.3: 7,9,11.
5.5: 1,3,5,9.

11/24/2021, Wednesday.
Today we went over 5.2 TO 5.4, definite integrals and did some extra poll questions.
Notes from class
See also notes on Definite Integrals

11/22/2021, Monday.
WEDNESDAY EXTRA POLL QUESTIONS, TO HELP YOU IMPROVE GRADE.
Today we went over 5.2 TO 5.4, definite integrals.
Notes from class
Practice problems:
5.4: 5, 9, 15, 27, 39, 49, 54, 61.

11/19/2021, Friday.
NEXT WEDNESDAY EXTRA POLL QUESTIONS, TO HELP YOU IMPROVE GRADE.
Today we went over 5.2 TO 5.4, definite integrals.
Notes from class
See also notes on Definite Integrals.
Please see video for more.

Practice problems:
5.2: 7, 19, 23, 33.
5.3: 21, 23, 29, 37, 49, 51, 55, 57.

TEST III ON NOV 18 THURSDAY.

TUTORING SCHEDULE ABOVE.
STUDY GUIDE

GRADES AS OF FRIDAY 11-5-21 POSTED IN CONTENT SECTION OF BLACKBOARD.

11/17/2021, Wednesday.
Today we reviewed study guide.
Notes from class
Please see video for more.




11/15/2021, Monday.
Today we introduced antiderivatives and integration.
Notes from class
You can also look at these notes on Antiderivatives and Definite Integrals.
Please see video for more.

POWERPOINT INTRODUCTION TO INTEGRATION.
Practice problems:
4.9: 2, 15, 17, 23, 27, 29, 59, 69.
5.1: 1, 3, 5, 13, 15.


11/12/2021, Friday.
Today we looked at more optimization problems.
Notes from class
You can also look at these notes on Optimization. Please see video for more.
Practice problems:
4.7: 12, 15, 23, 25, 37, 59, 61.


11/10/2021, Wednesday.
Today we looked at applications of Mean Value and Rolle's theorems, and started talking about optimization.
Notes from class
You can also look at these notes on Derivatives using Curves, and Optimization. Please see video for more.
Practice problems:
4.2: 5, 9, 13, 19, 27, 31.
4.7: 1, 3, 5, 8.


11/9/21, Tuesday.
Study guide for test 3 has been posted above

GRADES AS OF FRIDAY 11-5-21 POSTED IN CONTENT SECTION OF BLACKBOARD.

11/8/2021, Monday.
Today we looked at graphing functions using derivatives etc., and more example on L'Hospital's rule.
Notes from class
You can also look at these Notes from maxima/minima using derivatives , Derivatives using Curves, Curve Sketching, and L'hospital's rule.
Please see video for more.
Practice problems:
4.4: 49, 59, 63 (See notes from today for hints).
4.5: 1, 5, 9, 35, 43.

11/5/2021, Friday.
Today we looked at finding concavity, inflexion points using derivatives and started L'Hospital's rule.
Notes from class
You can also look at these Notes from maxima/minima using derivatives , Derivatives using Curves, Curve Sketching, and L'hospital's rule.
Please see video for more.
Practice problems:
4.3: 21, 23, 27, 37, 51.
4.4: 9, 13, 15, 24, 27.

11/4/2021, Thursday.
Today we looked at findimg LOCAL maxima/minima and inflexion points using derivatives.
Notes from class
You can also look at these Notes from maxima/minima using derivatives..
Please see video for more.
Practice problems: 4.3 problems 5, 9, 13, 35.

11/3/2021, Wednesday.
Today we looked at findimg maxima/minima using derivatives.
Notes from class
You can also look at these Notes from maxima/minima using derivatives..
Please see video for more.
Practice problems: 4.1 problems 17, 19, 29, 39, 41, 47, 49, 61,

11/1/2021, Monday.
Today we looked at some more applications of derivatives.
Notes from class
You can also look at these Notes from applications of derivatives..
Please see video for more.
Practice problems: 3.7: 9, 11, 13.
3.9 problems 3, 5, 9, 17, 25.

10/29/2021, Friday.
Today we looked at linear approximations of functions.
Notes from class
You can also look at these Notes from applications of derivatives..
Please see video for more.
Practice problems: Practice problems: 3.10 problems 1, 23, 25, 27, 42.

10/28/2021, Thursday.
Today we looked at applications differentiations, such as logistic population model and differentials.
Notes from class
You can also look at these Notes from applications of derivatives..
Please see video for more.
Practice problem 3.8 # 1, 3, 9, 11, 22.
( for these problems use the equation P(t) = A e^(kt) with k positive for growth and negative for decay).
3.10: 19, 21, 33, 36.

10/27/2021, Wednesday.
Today we used chain rule and implicit differentiation to do logarithmic differentiation.
Notes from class
You can also look at these Notes from derivatives using chain rule.
Please see video for more.
Practice problems for material covered today:
3.6: 39, 41, 45, 51.

10/25/2021, Monday.
Today we used chain rule and implicit differentiation to find derivatives of inverse functions (inverse trig, logarithm).
Notes from class
You can also look at these Notes from derivatives using chain rule.
Please see video for more.
Practice problems for material covered today:
3.5: 31, 49, 51.
3.6: 3, 5, 7, 33..

10/22/2021, Friday.
SOLUTIONS FOR TEST 2

Today we used chain rule to do implicit differentiation.
Notes from class
You can also look at these Notes from derivatives using chain rule.
Please see video for more.
Practice problems for material covered today:
3.5: 1, 3, 9, 11, 15, 25.

TEST II WILL BE ON THU, OCT 21.
REVIEW ON WED OCT 20.
Study guide
Answers included in study guide.
Solutions to some are given in it. More can be found on webassign if you have access to webassign.

10/20/2021, Wednesday.
Today we worked out some problems from study guide.
Notes from class
You can also look at these Notes from derivatives using chain rule.
Please see video for more.

10/18/2021, Monday.
Today we talked more about derivatives using chain rule.
Notes from class
You can also look at these Notes from derivatives using chain rule.
Practice problems for material covered today: (see class notes above for hints)
Try the last seven problems from study guide.

10/15/2021, Friday.
Today we talked more about derivatives using chain rule.
Notes from class
You can also look at these Notes from derivatives using chain rule.
Practice problems for material covered today: (see class notes above for hints)
3.4: 1, 3, 5, 7, 11, 15.

10/14/2021, Thursday.
Today we talked more about derivatives of trigonometric functions.
Notes from class
You can also look at these Notes from derivatives of trigonometric functions.
Practice problems for material covered today: (see class notes above for hints)
3.3: 35, 37, 38, 41.

10/13/2021, Wednesday.
Today we talked more about derivatives of trigonometric functions.
Notes from class
You can also look at these Notes from derivatives of trigonometric functions.
Practice problems for material covered today:
3.3: 1, 3, 5, 13, 17, 18, 19.

10/11/2021, Monday.
Today we talked more about derivatives using product and quotient rules.
Notes from class
You can also look at these Notes from derivatives using product rule.
Practice problems for material covered today:
3.2:5, 21, 29, 32, 43, 58.

10/8/2021, Friday.
Today we talked more about derivatives of exponential functions.
Notes from class
You can also look at these Notes from derivatives of polynomials and exponential functions .
Practice problems for material covered today:
3.1: 25, 29, 57, 71, 83.

10/7/2021, Thursday.
Today we talked more about when derivative may not exist.
Notes from class
You can also look at these Notes from derivatives of polynomials and exponential functions .
Practice problems for material covered today:
3.1: 9, 11, 13, 23, 35, 45, 49, 53.

10/6/2021, Wednesday.
Today we talked more about when derivative may not exist.
Notes from class
You can also look at these Notes from fall 2020 on derivative formula and function and Notes from derivatives of polynomials and exponential functions .
Practice problems for material covered today:
2.8: 13, 51.

10/4/2021, Monday.
Today we talked more about when derivative may not exist.
Notes from class
You can also look at these Notes from fall 2020 on derivative formula and function .
Practice problems for material covered today:
2.8: 3, 27, 35, 41, 43, 49, 57.

10/1/2021, Friday.
Today we talked more about derivative formula and why limit may not exist.
Notes from class
You can also look at these Notes from fall 2020 on derivative formula .
Practice problems for material covered today:
2.7: 21, 27, 33, 43, 47.

9/30/2021, Thursday.
Today we introduced derivative formula
Notes from class
You can also look at these Notes from fall 2020 on derivative formula .
Practice problems for material covered today:
2.7: 3, 7, 13, 37, 41.
2.8: 21, 25.

9/29/2021, Wednesday.
Today we talked about limits at infinity.
Notes from class
You can also look at these Notes from fall 2020 on continuity and limits at infinity .
Practice problems for material covered today:
2.6: 13, 15, 17, 19, 25, 29, 49, 69.
.

9/27/2021, monday.
Today we talked about continuity.
Notes from class
You can also look at these Notes from fall 2020 on continuity and limits at infinity .
Practice problems for material covered today:
2.3: 3, 5, 9.
2.5: 11, 13, 17, 19, 41, 53, 55.
.

9/24/2021, Friday.
Today we did some problems on finding limits.
Notes from class
You can also look at these Notes from fall 2020 on limits .
Practice problems for material covered today:
2.3: 15, 25, 31, 41, 49.

9/23/2021, Thursday.
Today we discussed the meaning of limits and squeeze theorem.
Notes from class
You can also look at these Notes from fall 2020 on limits .
Practice problems for material covered today:
2.3: 3, 11, 19. 35, 38, 40, 41, 45, 46.

9/22/2021, Wednesday.
Solutions to test 1 given today.

DUE TO CONVOCATION, TEST 1 ON SEP 22 WEDNESDAY. REVIEW MON SEP 20.
ALL OTHER DETAILS AS BELOW.
Zoom link and instructions will be on blackboard, under announcements.
It will cover all of chapters 1 and 2.1 to 2.2 in chapter 2. Topics: Functions, Limits and slopes of tangents.
NO CALCULATORS, NO HELP DURING TEST.
Problems will be similar (but not identical) to those we studied in class and in practice problems.
You must understand the methods and ideas , not just what to do in each step.
As usual you are expected to explain what you do in each step.
Please study all class notes and practice problems.
Please study also, as time permits, these old test problems with solutions:
IGNORE PROBLEMS USING SQUEEZE THEOREM.
Fall 2019 quiz 3, Fall 2019 Quiz 2 , Fall 2019 Quiz 1
as well as Fall 2018 Quiz 1, Fall 2018 Quiz 2, fall 2018 Quiz 3.
PLEASE USE ebook for Stewart's Calculus 8th edition Early transcendentals so that the numbers of problems are same.

9/21/2021, Tuesday.
Notes from office hours today.

9/20/2021, Monday.
Today we did a review of the material for the test. Basically problems from chapter 1 review in textbook as well as 11 from 2.2.
Notes from class

9/17/2021, Friday.
Today we discussed how to find limits, the use of limits to find slopes of tangents, one sided limits and asymptotes.
Notes from class
You can also look at these Notes from fall 2020 on limits .
Here is the table I shared in class showing slope of y = x^2 at x = 1 as limit.
Practice problems for material covered today:
2.2: 13 (worked out in fall 2020 notes), 31, 33, 41, 44.

9/15/2021, Wednesday.
Today we discussed the natural exponential function and e as a limit, introduced slopes of tangents and instantaneous rate of change.
Notes from class
You can also look at these Notes from fall 2020 on exponential functions and Notes from fall 2020 on limits .
Here is the table I shared in class showing e as limit.
Practice problems for material covered today:
1.4: 30, 31.
1.5 : 51, 53, 61.
2.1: 3, 7.
2.2: 19, 33.

9/13/2021, Monday.
My howard account has been blocked. Please use the following link for class on wednesday:
Sep 15 class
Meeting ID: 845 3242 2786
Passcode: 39744654
Today we discussed the properties of logarithms, natural exponential function and continuous compounding.
Notes from class
You can also look at these Notes from fall 2020 on exponential functions.
Practice problems for material covered today:
1.5 : 33, 35, 37, 39, 41.

9/3/2021, Friday.
Today we discussed the properties of inverse functions and definition of logarithms.
Notes from class
You can also look at these Notes from fall 2020 on exponential functions.
Practice problems for material covered today:
1.5 : 1, 3, 5, 15, 19, 21, 25.
I have corrected the class key for webassign above. Basically you need "HOWARD" in front.
In case you need it, here is a video tutorial on enrolling in webassign.

9/2/2021, Thursday.
Today we discussed the graphs of different exponential functions.
Notes from class
You can also look at these Notes from fall 2020 on exponential functions.
Practice problems for material covered so far:
1.4 : 11, 13, 17, 21.
I have corrected the class key for webassign above. Basically you need "HOWARD" in front.
In case you need it, here is a video tutorial on enrolling in webassign.

9/1/2021, Wednesday.
Today we discussed definition and behavior of exponential functions.
Notes from class
You can also look at these Notes from fall 2020 on exponential functions.
Practice problems for material covered so far:
1.4 : 1, 3, 25, 30.
I have corrected the class key for webassign above. Basically you need "HOWARD" in front.
In case you need it, here is a video tutorial on enrolling in webassign.

8/30/2021, Monday.
Today we discussed definition and domain of composition of functions.
Please try this old quiz (with solutions) before class on wednesday.
Notes from class
You can also look at these Notes from Spring 2021 on functions.
Practice problems for material covered so far:
1.1 : 1, 2, 7, 8, 9, 10, 14, 41, 43.
1.3 : 7, 31, 32, 38, 43, 57.
I have corrected the class key for webassign above. Basically you need "HOWARD" in front.
In case you need it, here is a video tutorial on enrolling in webassign.

8/27/2021, Friday.
Today we discussed definition and example of combinations of functions.
Notes from class
You can also look at these Notes from Spring 2021 on functions.
Practice problems for matrial covered so far:
1.1 : 1, 2, 7, 8, 9, 10, 14, 41, 43.
1.3 : 7, 31, 32, 38, 43, 57.
I have corrected the class key for webassign above. Basically you need "HOWARD" in front.
In case you need it, here is a video tutorial on enrolling in webassign.

8/26/2021, Thursday.
Today we discussed symmetry of figures and graphs, transformation of graphs of functions, and combinations of functions.
Notes from class
You can also look at these Notes from Spring 2021 on functions.
Practice problems for matrial covered so far:
1.1 : 1, 2, 7, 8, 9, 10, 14, 41, 43.
1.3 : 7, 31, 32, 38, 43, 57.
I have corrected the class key for webassign above. Basically you need "HOWARD" in front.
In case you need it, here is a video tutorial on enrolling in webassign.

8/25/2021, Wednesday.
Today we discussed symmetry of figures and graphs, even and odd functions, and how to determine symmetry using equations only.
Notes from class
You can also look at these Notes from Spring 2021.

8/24/2021 Tuesday.
Yesterday we went over a brief introduction to calculus and started talking about functions.
Additional notes from class
Please try this algbera screening test (courtesy of U.Mass).

8/17/2021 Tuesday.
Welcome. Here are some instructions for getting ready for our first class on 8/23/21 monday.
Will send zoom link for class through blackboard.

FALL 2020 FINAL EXAM PROBLEMS AND SOLUTIONS
Thanks to Prof. Nerolu.

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

We will have polls during class, and they will count towards grade. Correct answers get credit.

Please read and try problems from these notes on basics of functions from 2018 and notes on transformations of functions from 2018 in preparation for first class.