CALCULUS I FALL 2019 UPDATE PAGE
SITARAMAN
Welcome.
Here you will see info about what we did in class, upcoming exams, solutions for past exams, etc.,
CHECK AT LEAST ONCE A WEEK!!
SYLLABUS
COURSE PAGE
Started 8/13/2019
UPDATE PAGE from Fall 2018 Calculus I with solutions to tests, quizzes, etc.,
CAMPUSWIDE TUTORIAL LAB SCHEDULE
Webassign has been linked to blackboard. Go to course page on blackboard and click on "Tools" and then "Access Webassign."
You will need to create an account first, and need a key from your book purchase.
CLASS WILL MEET MWF 11.10 to 12 pm MWF CB4 Room 317 (BUSINESS SCHOOL BLDG)
AND 11.10 to 12 pm Thu LKH 200 (LOCKE HALL)
For our first meeting on 8/19:
Please do the diagnostic test in the textbook (just before "Preview of calculus") to make sure you are prepared for course.
SCROLL DOWN TO THE BOTTOM FOR MORE MATERIAL TO HELP YOU PREPARE FOR CLASS
SEE YOU IN CLASS MONDAY!
PLEASE USE ebook for Stewart's Calculus 8th edition Early transcendentals so that the numbers of problems are same.
Friday, 12/13/2019.
Final grades have been posted on banner. If you have questions please email me. Happy holidays!
Solutions for version B of final.
Final version A problems.
Final version B problems.
The two versions are only slightly different.
FINAL EXAM DEC 3, TUE, 3.30 to 5.30pm, Room HMB 250 (Mackey bldg-architecture).
REVIEW MONDAY 12/2 IN USUAL CLASS ROOM AT 11 AM.
Fall 2018 Final ;
Fall 2017 Final.
Fall 2018 Final Solutions ;
Fall 2017 Final Solutions.
MY CORRECT EMAIL ADDRESS IS SSITARAMAN@HOWARD.EDU (no bison in it).
Please complete teacher evaluations. Instructions have been sent.
AFTER GOING TO COURSE PAGE CLICK ON "CONTENT" FOR GRADE SHEET AND ALSO LOOK UNDER "ANNOUNCEMENTS" FOR EXPLANATIONS.
ALL OUTSTANDING ISSUES MUST BE RESOLVED BY TUE, NOV 26, 4PM.
I WILL NOT BE ON CAMPUS ON WEDNESDAY.
Monday, 11/25/19.
ON MONDAY 12/1 WE WILL DO A REVIEW FOR FINAL IN CLASS.
Solutions for Test 3.
test 3 problems.
TEST 3 ON MONDAY NOV 25. 4.9 and 5.1 to 5.5.
PLEASE STUDY CLASS NOTES AND QUIZZES AFTER THE SECOND TEST 2 (GIVEN NOV 8) (.
Topics: AntiDerivatives, Definite Integrals, Area and Distance using Integrals, Fundamental Theorem, Substitution.
Please study these old test problems with solutions:
TRY PROBLEMS FIRST BEFORE LOOKING AT ANSWERS.
REVIEW FRIDAY ( 11/22)
PROBLEM SESSION ALSO TOMORROW (THU) IN OFFICE 2 TO 4PM FOR THOSE WHO NEED EXTRA HELP.
Fall 2018 Test 3 Problems 1, 4,5,6.
Solutions for Fall 2018 Test 3 (only 1, 4,5,6).
Fall 2017 test 3 solutions (only 3,5).;
Chapter 5 true false questions
Chapter 5 review questions 1,2,15,17,19,29,31,33,35,45,47,53,58
Thursday, 11/21/19
NOTES from today on integration using substitution.
Try problems 13,21,25,35,45,59,69,79,84. from 5.5.
Wednesday, 11/20/19
READ ALL OF UPDATED NOTES (REFRESH BROWSER) from today on definite integrals.
Try problems 9, 11, 45 from 5.3 and 37, 47,49 and 57 from 5.2.
Monday, 11/18/19.
ON WEDNESDAY WE WILL FINISH 5.4 AND POSSIBLY 5.5.
Solutions for Quiz 9.
Quiz 9 problems.
Friday 11/15/19
QUIZ 9 MONDAY ON 4.9, 5.1,5.2 AND PARTS OF 5.3 AND 5.4.
READ NOTES AND TRY PRACTICE PROBLEMS TO PREPARE FOR QUIZ.
READ UPTO PAGE 20 OF UPDATED NOTES (REFRESH BROWSER) from today on definite integrals.
Introduction to integration
Please study all of it and try these problems:
5.2: 7,37.
5.3: 19,21,35,33,37,49,51.
5.4: 9,15,21,25,31,53,61,69.
Thursday, 11/14/19
Notes from today on definite integrals.
Updated Notes (REFRESH BROWSER) on antiderivatives.
Introduction to integration
Please study all of it and try these problems:
5.1 : 3,13,19,21,25
5.2: 5,9, 19,
Wednesday, 11/6/19
Notes from today on antiderivatives.
Introduction to integration
Please study all of it and try problems 5, 15, 23,25,41,67,75 in 4.9.
TOMORROW (FRIDAY) INSTEAD OF QUIZ WE WILL HAVE ANOTHER TEST.
IT WILL COVER ALL OF TEST 2 MATERIAL PLUS 4.5 AND 4.7.
AS IN TEST 2 IT WILL HAVE 20 EXTRA CREDIT POINTS BASED ON CLASSROOM DISCUSSION.
Best grade from this test and previous test 2 will count as grade for test 2.
Best two grades from tests 1, 2 and 3 will count towards course grade, in addition to quiz and final exam grades.
Thursday, 11/6/19
Updated Notes (REFRESH BROWSER!) from today on Optimization using derivatives.
Please study all of it and try problems 21, 26, 39, 56, 59, 63 in 4.7.
Wednesday, 11/6/19
Notes from today on Optimization using derivatives.
Please study all of it and try problems 21, 26, 39, 56, 59, 63 in 4.7.
Tuesday, 11/5/19
ON FRIDAY INSTEAD OF QUIZ WE WILL HAVE ANOTHER TEST.
IT WILL COVER ALL OF TEST 2 MATERIAL PLUS 4.5 AND 4.7.
AS IN TEST 2 IT WILL HAVE 20 EXTRA CREDIT POINTS BASED ON CLASSROOM DISCUSSION.
Monday, 11/4/19
Notes from today on Curve Sketching using derivatives.
Please study all of it and try problems 5,9,15,35,43,55 in 4.5.
Friday, 11/1/19.
ON MONDAY WE WILL GO OVER CURVE SKETCHING (4.5).
Solutions for Test II.
Test II problems.
TEST 2 ON FRIDAY NOV 1. ALL OF CHAPTER 3 AND 4.1 TO 4.4 IN CHAPTER 4.
PLEASE STUDY CLASS NOTES AND QUIZZES AFTER TEST 1..
Topics: Derivatives of Power functions, Exponential and Trigonometric Functions, Product Rule, Chain rule, implicit and logarithmic differentiation, applications of derivatives, maxima minima, L'Hospital's rule.
Please study these old test problems with solutions:
TRY PROBLEMS FIRST BEFORE LOOKING AT ANSWERS.
REVIEW TOMORROW (THU 10/31)
PROBLEM SESSION ALSO TOMORROWIN OFFICE 2 TO 4PM FOR THOSE WHO NEED EXTRA HELP.
Fall 2018 Test 2 Problems.
Solutions for Fall 2018 Test 2.
Fall 2017 test 2 solutions;
Problem 1 and 3 of Fall 2017 Quiz 8 solutions
Problems 1, 2, 4 of Fall 2017 test 3
Wednesday, 10/30/19
Notes from today on L'Hospital's rule.
Please study all of it and try problems 13,15,25,33,43,47,57,59 in 4.4.
Tuesday, 10/29/19
Notes from monday on second derivative test, Rolle's and Mean Value Theorem.
Please study all of it and try problems
11,17,23,27,55 in 4.3 and the following:
4.2 : 5,7,9,11,13,17,21,23,25.
Friday, 10/25/19.
ON MONDAY WE WILL DO 4.2 and 4.3.
Solutions for Quiz 8.
Quiz 8 problems.
Thursday, 10/23/2019
Quiz 8 on friday, on 3.9, 3.10, 4.1.
Updated Notes (REFRESH BROWSER) from today on finding maxima / minima including solutions to practice problems .
Please study all of it and try problems at the end (before reading solutions).
Wednesday, 10/23/2019
Quiz 8 on friday, on 3.9, 3.10, 4.1.
Tomorrow we will do more problems from these sections.
Notes from today on finding maxima / minima.
Please study all of it and try problems at the end.
Monday, 10/21/2019
Updated Notes from today (REFRESH BROWSER) including related rates and differentials.
Please study parts 3 and 4 of the notes above and try the following problems:
3.9: 3, 5, 16, 38.
3.10: 13, 23,27,33,36.
Friday, 10/18/19.
ON MONDAY WE WILL FINISH CHAPTER 3.
Solutions for Quiz 7.
Quiz 7 problems.
Thursday, 10/16/2019
Quiz 7 will be friday, on 3.6, 3.7 and 3.8.
Notes from today on applications of derivative.
Please study parts 1 and 2 of the notes above and try the following problems:
3.7: 5,7,15,25.
3.8: 3,15,19.
Also study problems on logarithmic differentiation from previous Notes (REFRESH BROWSER) on chain rule and logarithmic differentiation.
Wednesday, 10/15/2019
Quiz 7 will be friday, on 3.6, 3.7 and 3.8.
Updated Notes from today (REFRESH BROWSER) on chain rule and logarithmic differentiation.
I have included solutions for the practice problems from 3.6 at the end of the slides.
If you don't see problems from 3.6 in last slide it means you need to REFRESH BROWSER.
Tuesday, 10/15/2019
Updated Notes from today (REFRESH BROWSER) on chain rule and logarithmic differentiation.
Please read all and try the practice problems from 3.6 at the end of the slides.
If you don't see problems from 3.6 in last slide it means you need to REFRESH BROWSER.
Friday, 10/11/19.
ON MONDAY WE WILL DO 3.6, LOGARITHMIC DIFFERENTIATION.
Solutions for Quiz 6.
Quiz 6 problems.
Thursday, 10/10/2019
QUIZ 6 TOMORROW (FRIDAY), ON 3.4 AND 3.5.
Updated Notes from today (REFRESH BROWSER) on chain rule and implicit differentiation.
Please read all and try the following practice problems:
3.4: 7, 17, 23, 31, 51,61.
3.5: 5, 11,13, 29, 51.
Wednesday, 10/9/2019
Updated Notes from today (REFRESH BROWSER) on chain rule and implicit differentiation.
Please read all and try practice problems on pages 19 to 21.
Monday, 10/7/2019
Notes from today on chain rule.
Please read all and try practice problems on pages 8 to 13.
Friday, 10/4/19.
ON MONDAY WE WILL DO 3.4, CHAIN RULE FOR DERIVATIVES.
Solutions for Quiz 5.
Quiz 5 problems.
Thursday, 10/3/2019
QUIZ 5 ON FRIDAY, ON 3.1, 3.2 and 3.3.
Updated Notes from yesterday (REFRESH BROWSER) on product rule with more problems.
Notes from today on derivatives of trigonometric functions.
Please read all and try practice problems below:
3.3: 3, 9, 21, 35.
Wednesday, 10/2/2019
Notes from today on product rule for derivatives.
Please read all and try practice problems below:
3.2: 3,9,11,19,225, 33, 43, 45, 58.
Monday, 9/30/2019
Notes from today on derivatives of power functions and exponential functions.
Please read all and try practice problems below:
3.1: 3,9,11,19,23,32,33,47,45,51,53,55.
Friday, 9/27/19.
ON MONDAY WE WILL DO 3.1, DERIVATIVES OF POLYNOMIALS AND EXPONENTIAL FUNCTIONS..
Solutions for Test I.
Test I problems.
TEST 1 ON SEP 27 FRIDAY. REVIEW THU SEP 26
It will cover all of chapters 1 and 2.
Topics: Functions, Limits, continuity, basic definition of derivative.
NO CALCULATORS, NO HELP DURING TEST
Problems will be similar (but not identical) to those we studied in class and in quizzes.
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, practice problems and quiz problems.
Please study also, as time permits, these old test problems with solutions:
Fall 2015 test 1 review problems (omit 8,9,12,16,17);
Fall 2017 test 1 solutions;
(Only 1,2,3) Solutions for Fall 2018 Test I.
(Only 1,2,3) Fall 2018 Test I problems.
PLEASE USE ebook for Stewart's Calculus 8th edition Early transcendentals so that the numbers of problems are same.
Wednesday, 9/25/2019
Updated Notes (REFRESH BROWSER!) from today on limit formula for derivatives.
Please read all and try practice problems below:
2.8: 3, 15, 23,27, 35, 41, 51.
Monday, 9/23/19.
ON WEDNESDAY WE WILL DO 2.8, PROPERTIES OF DERIVATIVES.
Solutions for Quiz 4.
Quiz 4 problems.
QUIZ 4 ON MONDAY, ON 2.5,2.6,2.7.
PLEASE STUDY ALL NOTES BELOW AFTER QUIZ 3.
Schedule for math tutoring across campus.
Thursday, 9/19/2019
Notes from today on limit formula for derivatives.
Updated Notes from today on continuity of functions and limits at infinity.
YOU WILL NEED TO REFRESH YOUR BROWSER.
Please read all and try practice problems below:
2.7: 21, 25, 29, 39,51,59
Wednesday, 9/18/2019
UpdatedNotes from today on continuity of functions.
YOU WILL NEED TO REFRESH YOUR BROWSER.
Please read all and try practice problems below:
2.6: 17, 19, 27, 31, 49.
(For 27 multiply and divide by conjugate first).
Monday, 9/16/2019
Notes from today on continuity of functions.
Please read upto page 17 and try practice problems below:
2.5: 3,7,20, 33,43,55.
Friday, 9/13/19.
ON MONDAY WE WILL START 2.5.
Solutions for Quiz 3.
Quiz 3 problems.
QUIZ 3 on friday, on 2.2 and 2.3.
Please read all notes and try all practice problems mentioned below, after Quiz 2 (or after 9/6).
Thursday, 9/12/2019
Notes from today on finding limits of functions involving square roots, using factoring .
Wednesday, 9/11/2019
Updated Notes from today on limits .
YOU MAY NEED TO REFRESH YOUR BROWSER.
Please read until page 30 and try the following problems:
2.2:33, 35,45; 2.3: 11, 15, 25,31,47.
Monday, 9/9/2019
Notes from today on limits .
Please read until page 17 and try the following problems:
2.2: 6,11,13 ; 2.3: 37,39.
Friday, 9/6/19.
ON MONDAY WE WILL START 2.2.
Solutions for Quiz 2.
Quiz 2 problems.
QUIZ II ON FRIDAY, 9/6, ON 1.4 AND 1.5.
Study class notes, practice problems and problems 1 and 2 of quiz 2 from
Fall 17 Quiz 2 with solutions and
Fall 18 Quiz 2.
fall 18 quiz 2 solutions.
Thursday, 9/5/2019
WORKED OUT PROBLEMS ON LOGARITHMS IN 1.5 from today.
Wednesday, 9/4/2019
UPDATED Notes on exponential functions AND LOGARITHMS from today.
YOU MIGHT NEED TO REFRESH YOUR BROWSER.
Also read notes on logarithms from last year
Also try problems from 1.5: 7,19,25,37,53,61..
If you don't have the book the problems are in this
handout.
Friday, 8/30/2019
UPDATED Notes on exponential functions from today.
YOU MIGHT NEED TO REFRESH YOUR BROWSER.
Please read pages 1 to 24 and try the problem at the end.
Also try problems 3,15,21,30 from 1.4.
If you don't have the book the problems are in this
handout.
Thursday, 8/29/2019
Notes on exponential functions from today.
Please read pages 1 to 15 and try the problem at the end.
Also try problems 3,15,21,30 from 1.4.
If you don't have the book the problems are in this
handout.
Wednesday, 8/28/19.
Solutions for Quiz I.
Quiz I problems.
QUIZ NEXT WEDNESDAY (8/28), ON 1.1, 1.2, 1.3 AND 2.1
Try following practice problems:
2.1: 1,3,5
1.1: 7,9,11,15,31,35,37,38,57,59, 65,73,77
1.2: 1, 2,13,20
1.3: 3,7,11,17,35,53,55
Monday, 8/26/2019
Updated Notes on basics of functions including problems worked out in class.
On wednesday before quiz we will go over couple of problems about domain and combinations of functions.
Saturday, 8/24
Here are the Exercises from 1.1 and the
Exercises from 2.1
for those who don't have the book yet.
Please purchase book / ebook soon.
For some reason 2.1 problem 3 isn't printing properly.
Here it is: For the function f(x) = 1/(1-x), find the slope of secant line from x = 2 to x = 1.5, 1.9, 1.99, 2.5, 2.1 and 2.01.
Friday, 8/23/2019
QUIZ NEXT WEDNESDAY (8/28), ON 1.1, 1.2, 1.3 AND 2.1
Try following practice problems:
2.1: 1,3,5
1.1: 7,9,11,15,31,35,37,38,57,59, 65,73,77
1.2: 1, 2,13,20
1.3: 3,7,11,17,35,53,55
Try also Quiz from last year. Our quiz won't be exactly same.
There are other quizzes you can try if you have time, from past semesters, on Old courses page
Webassign has been linked to blackboard. Go to course page on blackboard and click on "Tools" and then "Access Webassign."
You will need to create an account first, and need a key from your book purchase.
Revised notes from class today: Introduction to calculus and finding slope of tangent using secants.
I have clarified and simplified the section on relationship between Integration and Differentiation.
Notes from class today on basics of functions.
Thursday, 8/22/2019
Webassign has been linked to blackboard. Go to course page on blackboard and click on "Tools" and then "Access Webassign."
You will need to create an account first, and need a key from your book purchase.
Try problems 1, 3, 5 from section 2.1 of the e-book.
Updated notes from class today: Introduction to calculus and finding slope of tangent using secants.
I have clarified and simplified the section on relationship between Integration and Differentiation.
NOTE: I will not be on campus after 12pm tomorrow (thu, 8/22) and friday, 8/23.
I will be in office 10 to 11 instead.
Note that we will be meeting in LKH 200 on thursdays only.
Wednesday, 8/21/2019
Notes from class today: Introduction to calculus
Please read and try problems from these notes on basics of functions from last year
and notes on transformations of functions from last year
in preparation for tomorrow's class.
Tuesday, 8/20/19
I will not be in office today due to some family duties.
Monday, 8/19/2019
For wednesday we will meet in larger room (CB4 317) where we met in latter part of today's (monday) class.
This is a temporary arrangement. If I get a more permanent room assignment before wednesday I will let you know.
Please read these notes on derivatives and rates of change from last year
in preparation for wednesday's class.
Tuesday, 8/13/2019
The following are from Spring 2016 but you can work on them to get started on the course:
Supplementary material:
Two more graphs related to climate change, following up on practice problem 11 on p.20:
Graph of CO2 over past 650000 years
Graph of CO2 over past 60 years
You are welcome to check out my fall 2015 course
Patterns in Environmental Math if you are interested in learning more.
Youtube video showing how to approximate pi (or area of circle of radius 1 or half the perimeter of same circle) using polygons.
In the first part they show the theory and how to find the perimeter of various polygons (squares, pentagons, hexagons,...) that approximate the circle. Lot of formulae in this part.
In the last part they make a neat spreadsheet with perimeters for the different polygons as you increase the number of sides.
This is a great illustration of the limit process because you can see clearly how the polygons kind of merge with the circle at the same time as their perimeter approaches pi times their "diameter."
Please do the diagnostic test in the textbook (just before "Preview of calculus") to make sure you are prepared for course.