CALCULUS I SECTION 1 SPRING 2022 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.,

Zoom link for classes and my cell number for help are in the "Content" section of Blackboard.

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

Class videos will be posted on Echo360.org. You can get there from Blackboard.

OPTIONAL: It will be useful to have access the online homework website Webassign.
CLASS KEY HOWARD 0273 6593.
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 FALL 2021 CALCULUS 1
OLD FINAL EXAMS

FOR SOLUTIONS FOR OLD TESTS from Spring 2021, Fall 2020, Fall 2019, 2018, FALL 2017 ETC.,  go to OLD COURSES.
Click on the desired course, then click on UPDATE.

POLLS ARE 40% OF GRADE. IF YOU PAY ATTENTION, EASY TO GET THEM RIGHT.

 TRY PRACTICE PROBLEMS EVERY DAY! Lot of them (or at least very similar problems) are worked in the notes from previous years.
YOU CAN SEE THE OLD NOTES ALSO ON OLD COURSES PAGE.
EXAMS WILL BE ANNOUNCED BELOW




PLEASE READ ALL INSTRUCTIONS ABOVE AND KEEP UP WITH CLASS.



Saturday, 30 April
FINAL EXAM PROBLEMS.
FINAL EXAM SOLUTIONS.

GRADES HAVE BEEN SUBMITTED ON BISONWEB. WILL BE VISIBLE SOON.
GRADED EXAMS PUT IN YOUR JOURNAL, WITH FINAL GRADE.


TUTORING SCHEDULE

FINAL EXAM APRIL 26 3.30 TO 5.30 PM ON ZOOM.
WILL FOLLOW FORMAT OF PREVIOUS SEMESTERS --
SEE OLD FINAL EXAMS ON OLD COURSES PAGE
PLEASE ALSO STUDY CLASS NOTES.

ALL OUTSTANDING BUSINESS MUST BE FINISHED BY FRI APRIL 22

4/25/2022 Monday.
Today: We went over questions people had.
FINAL EXAM FROM FALL 21. PLEASE ALSO STUDY CLASS NOTES.
GRADESHEET AS OF 4/22/22 HAS BEEN POSTED IN GRADES FOLDER INSIDE CONTENT.


Monday - review by request. Same time.

4/22/2022 Friday.
Today: Review of Integration (chapter 5)
Notes from class today.
GRADED TEST 3 HAS BEEN POSTED IN YOUR JOURNAL.


4/20/2022 Wednesday.
Today: Substitution method
Notes from class today.
Notes from Fall 2020 on substitution.
Practice problems:
5.5: 1, 3, 5, 9, 15, 33, 34, 43, 55 (these are also worked out in the slides titled “substitution” above).


4/19/2022 Tuesday.
Today: Intro to definite integrals and fundamental theorem
Notes from class today.
Notes from Fall 2020 on antiderivatives
Powerpoint on integration basics
Notes from Fall 2020 on definite integrals.
Practice problems:
5.2: 7, 19, 23, 33.
5.3: 7, 9, 11, 21, 23, 29, 37, 49, 51, 55, 57.
5.4: 1, 3, 5, 9, 15, 27, 39, 49, 54, 61.


4/18/2022 Monday.
Today: Intro to integration
Notes from class today.
Notes from Fall 2020 on antiderivatives
Powerpoint on integration basics
Notes from Fall 2020 on definite integrals.
Practice problems:
4.9: 2, 15, 17, 23, 27, 29, 59, 69.
5.1: 1, 3, 5, 13, 15.


4/15/2022 Friday.
Next week we will have to cover all of chapter 5 so please don't miss classes.
It is also your last chance to improve poll grade.

Problems from Test 3 given today.

Solutions for Test 3 given today.



GRADESHEET AS OF 4/1/22 POSTED UNDER CONTENT.

TEST III COVERING 3.9, 3.10, 4.1, 4.2,4.,4.4,4.5,4.7 ON FRIDAY 4/15/22.
Zoom link and instructions will be on blackboard, under announcements.
Topics: Related rates, differentials, linear approximation, maxima/minima, graphing using derivatives, mean value theorem, L'Hospital's rule, Optimization, Intro to Integration .
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:
OLD TEST # STUDY GUIDE (PROBLEMS 23 TO 57)

TEST 2 GRADED EXAMS HAVE BEEN UPLOADED.

4/13/2022 Wednesday.
Today: review for test 3
Notes from class today.


4/12/2022 Tuesday.
Sorry I forgot to record class today. Hope the notes help.
TEST 2 GRADED EXAMS HAVE BEEN UPLOADED.
Today: optimization probems
Notes from class today.
Notes from Fall 2020 on optimization
Practice problems:
4.7: 12, 15, 23, 25, 37, 59, 61.


4/11/2022 Monday.
Talked about sketching graphs using derivatives and mean value theorem and Rolle's theorem
Notes from class today.
Notes from Fall 2020 on graphing using derivatives
Practice problems:
4.5: 1, 5, 9, 35, 43.
4.2: 5, 9, 13, 19, 27, 31.
4.7: 1, 3, 5, 8.


4/8/2022 friday.
More about L'Hospital's rule; Talked about sketching graphs using derivatives.
Notes from class today.
Notes from Fall 2020 on graphing using derivatives
Notes from Fall 2020 on L'Hospital's rule
Practice problems: 4.4: 49, 59 , 63. See notes for hints.
4.5: 1, 5, 9, 35, 43.


4/6/2022 Wednesday.
We introduced L'Hospital's rule.
Notes from class today.
Notes from Fall 2020 on finding maxima/minima (extrema)
Notes from Fall 2020 on L'Hospital's rule
Practice problems: 4.3: 21, 23, 27, 37, 51.
4.4: 9, 13, 15, 24, 27.


4/5/2022 Tuesday.
We talked about finding local maxima and minima and inflexion point using derivatives.
Notes from class today.
Notes from Fall 2020 on finding maxima/minima (extrema)
Practice problems: 4.3: 5, 9, 13, 35


4/4/2022 Monday.
We talked about finding maxima and minima using derivatives.
Notes from class today.
Notes from Fall 2020 on finding maxima/minima (extrema)
Practice problems: 4.1: 17, 19, 29, 39, 41, 47, 49, 61.


4/1/2022 Friday.
We talked about applications of derivatives, specifically, linear approximation.
Notes from class today.
Notes from Fall 2020 on applications of derivatives
Practice problems: 3.10: 3, 7, 13, 23, 29, 33, 35.


3/30/2022 Wednesday.
We talked about applications of derivatives, specifically, differentials.
Notes from class today.
Notes from Fall 2020 on applications of derivatives
Practice problems: 3.10: 3, 7, 13, 23, 29, 33, 35.


3/29/2022 Tuesday.
We talked did more problems on applications of derivatives, specifically, related rates.
Notes from class today.
Notes from Fall 2020 on applications of derivatives
Practice problems: 3.9: 3,19, 27, 33, 45.


3/28/2022 Monday.
We talked about applications of derivatives, specifically, related rates.
Notes from class today.
Notes from Fall 2020 on applications of derivatives
Practice problems: 3.9: 3,19, 27, 33, 45.


3/26/2022 Saturday.
Problems from Test 2 given today.

Solutions for Test 2 given today.



TEST 2 ON FRIDAY 3/25. ; WEDNESDAY 3/23: REVIEW FOR TEST 2.
TUTORING : GO TO ROOM 101 in ASB-B.
Zoom link and instructions will be on blackboard, under announcements.
It will cover sections 3.1 to 3.8.
Topics: Derivatives of polynomial, exponential and trig functions, Product rule, Chain rule, implicit differentiation, logarithmic differentiation, applications of exponential functions and their derivatives .
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:
All problems from chapters 1 and 2 in Problems 43 to 64 of Fall 2021 test 2 Study guide

Problems 1-22 of Fall 21 Test 3 study guide.

3/23/2022 Wednesday.
We reviewed the problems from the study guide.
Notes from class today.
.

3/22/2022 Tuesday.
We talked about applications of derivatives.
Sorry I didn't record but please use these notes to see what we did today.
Notes from class today.
Notes from Fall 2020 on applications of derivatives
Practice problems: 3.7: 7, 9, 15, 31, 33 ; 3.8: 1, 3, 9, 11. .

3/21/2022 Monday.
We talked about implicit differentiation involving logarithms.
Notes from class today.
Notes from Fall 2020 on chain rule on derivatives
Practice problems: 3.6: 7, 19, 33, 41, 45.

3/18/2022 Friday.
We talked about implicit differentiation using chain rule.
Notes from class today.
Notes from Fall 2020 on chain rule on derivatives
Practice problems: 3.5: 15, 25, 30, 39, 49, 51.

3/16/2022 Wednesday.
We talked about harmonic equations (for wave functions) and solving problems using chain rule to differentiate various functions.
Notes from class today.
Notes from Fall 2020 on chain rule on derivatives
Practice problems: same as yesterday.

3/15/2022 Tuesday.
We talked about using chain rule to differentiate various functions.
Notes from class today.
Notes from Fall 2020 on chain rule on derivatives
Practice problems: 3.4: 21, 31, 51, 55, 61, 81, 85.

3/14/2022 Monday.
We talked about how chain rule comes about and how to use it.
Notes from class today.
Notes from Fall 2020 on chain rule on derivatives
Practice problems: 3.4: 1, 3, ,5 , 7, 9, 11, 13, 17.

3/4/2022 Friday.
We talked about applications of trigonometric functions and introduced chain rule.
Notes from class today.
Notes from Fall 2020 on derivatives of trigonometric functions
Notes from Fall 2020 on chain rule on derivatives
Practice problems: 3.4: 3, ,5 , 7, 11, 17.

3/2/2022 Wednesday.
We talked more about derivatives of trigonometric functions and limit of sinx/x.
Notes from class today.
Notes from Fall 2020 on derivatives of polynomial and exponential functions
Notes from Fall 2020 on product and quotient rule on derivatives
Practice problems: 3.3: 35, 37, 38, 41.

3/1/2022 Tuesday.
We finished talking about product and quotient rule and started derivatives of trigonometric functions.
Notes from class today.
Notes from Fall 2020 on derivatives of polynomial and exponential functions
Notes from Fall 2020 on product and quotient rule on derivatives
Practice problems: 3.3: 1, 3, 5, 13, 17, 18, 19 .

2/28/2022 Monday.
We finished talking about derivatives of exponential functions and started product and quotient rule.
Notes from class today.
Notes from Fall 2020 on derivatives of polynomial and exponential functions
Notes from Fall 2020 on product and quotient rule on derivatives
Practice problems: 3.2: 13, 17, 27, 33, 43, 57, 58.

2/25/2022 Friday.
Notes from class today.
Notes from Fall 2020 on derivatives of polynomial and exponential functions
Practice problems: 3.1: 19, 25, 31, 37, 51, 56.

2/23/2022 Wednesday.
Notes from class today.
Notes from Fall 2020 on derivatives of polynomial and exponential functions
Practice problems: 3.1: 9, 11, 13, 23, 35, 45, 49, 53.

2/22/2022 Tuesday.
Problems from Test 1 given today.

Solutions for Test 1 given today.


TEST I ON TUESDAY FEB 22.
Zoom link and instructions will be on blackboard, under announcements.
It will cover all of chapters 1 and chapter 2. Topics: Functions, Limits and slopes of tangents, limits at infinity, continuity, derivatives.
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:
All problems from chapters 1 and 2 in Fall 2021 test 2 Study guide (basically upto page 28, or anything without 3.1, 3.2, etc in problem number).

Fall 21 Test 1.

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.

INSTRUCTIONS FOR ZOOM FOR TEST 1 ON BLACKBOARD (ANNOUNCEMENTS).

FRIDAY: REVIEW FOR TEST 1.
2/18/2022 Friday.
Today we went over some problems from the Fall 21 test 2 study guide. Sorry I forgot to record.
Notes from class today.


2/16/2022 Wednesday.
Today derivative formula and properties of derivatives.
Notes on derivative formula and properties of derivatives from fall 2020.
Notes from class today.
Practice problems:
2.7: 3, 7, 13, 21,33, 41, 53, 59.
2.8: 3, 12, 14, 27, 35, 41, 59.
.

2/15/2022 Tuesday.
Today continuous functions and limits at infinity.
Notes on continuity and limits at infinity from fall 2020.
Notes from class today.
Practice problems: 2.6: 15, 17, 19, 21, 23, 25, 27, 49, 51, 68.
.

2/14/2022 Monday.
WILL POST INSTRUCTIONS FOR ZOOM FOR TEST 1 ON BLACKBOARD SOON.
Today more on limits, techniques for different limits..
Notes on limits at infinity from fall 2020.
Notes from class today.
Practice problems: 2.5: 3, 9, 11, 17, 19, 21.
.

2/11/2022 Friday.
Today more on limits, techniques for different limits..
Notes on introduction to limits from fall 2020.
Notes from class today.
Practice problems: 2.3: 37, 39, 41, 47, 51.
.

2/9/2022 Wednesday.
Today introduction to limits and squeeze theorem..
Notes on introduction to limits from fall 2020.
Notes from class today.
Practice problems: 2.3: 37, 39, 41, 47, 51.
.

2/8/2022 Tuesday.
Today introduction to limits and derivatives, slope of parabola at x=1..
Notes on introduction to limits from fall 2020.
Notes from class today.
Practice problems: 2.2: 5, 7, 11, 31, 41.
.

2/7/2022 Monday.
Today introduction to limits and derivatives..
Notes on introduction to limits from fall 2020.
Notes from class today.
Practice problems: 2.1: 1,3,5.
.

2/2/2022 Wednesday.
FRIDAY NO CLASS BUT OFFICE HOURS INSTEAD.
Today doubling time and half-life..
Notes on exponential functions from fall 2020.
Notes from class today.
Practice problems same as yesterday.

2/1/2022 Tuesday.
Today properties of logarithms.
Notes on exponential functions from fall 2020.
Notes from class today.
Practice problems from 1.5 : 23, 25, 37, 41, 51, 53, 61.
1.4: 31, 34.

1/31/2022 Monday.
Today logarithm as inverse function of exponential functions.
Notes on exponential functions from fall 2020.
Notes from class today.
Practice problems from 1.5 : 35, 47, 57, 61.

1/28/2022 Friday.
Today inverse functions and natural exponential functions.
Notes on exponential functions from fall 2020.
Notes from class today.
Practice problems from 1.4 : 15, 21, and 1.5: 3, 5, 7, 19, 21.

1/26/2022 Wednesday.
Today we got an introduction to exponential functions.
Notes on exponential functions from fall 2020.
Notes from class today.
Practice problems from 1.4 : 5,9,11,13,21.

1/25/2022 Tuesday.
Today we got an introduction to exponential functions.
Notes on exponential functions from fall 2020.
Notes from class today.
Practice problems from 1.4 : 1, 3, 25, 30.

1/24/2022 Monday.
Today we talked about combining two transformations of functions and commbinations of functions.
Notes on functions from 8-26-20.
Notes from class today.
Practice problems from 1.3: 5, 7, 19, 31, 33, 37.

1/21/2022 Friday.
Today we talked about even and odd functions and transformation of functions.
Notes on functions from 8-26-20.
Notes from class today.
Practice problems from 1.3: 3, 5, 11, 17, 23.

1/19/2022 Wednesday.
Today we talked about domain and range of functions and symmetry.
Notes on functions from Fall 2018.
Notes from class today.
Practice problems from 1.1: 31, 35, 41, 43, 49.


1/18/2022 Tuesday.
Today we introduced ourselves to each other and to calculus.
A Brief Introduction to Calculus from Spring 2021.
Notes from class today.
Practice problems from 1.1: 3, 7, 9, 11, 23.


1/11/2022 Tuesday.
Welcome. Here are some instructions for getting ready for our first class on 1/18/22 tuesday.
Will send zoom link for class through blackboard.

Please try this algebra screening test (courtesy of U.Mass).
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 be 40% of 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.