CALCULUS I FALL 2018 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 8/15/2018

UPDATE PAGE from Fall 2017 Calculus I with solutions to tests, quizzes, etc.,
You can get into the online homework website Webassign using the class key:     howard 2324 4616
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.

TUTORIAL LAB OPEN IN ASB-B 109 WEEKDAYS 9 TO 9, WEEKENDS 12 TO 3. CLOSES FRI AT 5.



CLASS WILL MEET IN (Locke Hall) LKH 236 ON MWF 3.10pm AND EJH 320 ON THU AT 3.10pm.


For our first meeting on 8/20:
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.



Tuesday 10/16.
Yesterday we covered 3.9 (related rates).
Please read Notes from Monday (Applications of Derivatives-related rates)

Practice problems for 3.9:
3.9: 7,17,20,29,39,43.


Friday, 10/12.
Please read Solutions for Quiz 6.
Monday we will talk about related rates.
Quiz 6 problems.



Quiz 6 tomorrow, Friday, on 3.6,3.7,3.8.

Thursday 10/11.
Today we covered 3.7 and 3.8.
Please read Notes from today (Applications of Derivatives)

Practice problems for today :
(Please also try example problems in the book; Do problem then look at solution)
3.7: 1,9,15,20,23,31.
3.8: 1,3,9,11,15.


Monday, 10/8.
Please read Updated Notes from today (Derivatives of Logarithmic Functions)
You may need to refresh your browser.
This has solutions to problems we went over in class.
Wednesday we will talk about applications of differentiation.
Practice problems for today (Please also try the problems in the class notes above):
3.6: 3,5,13,19,41,45.


Friday, 10/5.
Please read Notes from today (Derivatives of Logarithmic Functions)
Monday we will talk about applications of differentiation.
I will also bring the midterm grade sheet.
Practice problems for today (Please also try the problems in the class notes above):
3.6: 3,5,13,19,41,45.


Thursday, 10/4.
Please read Solutions for Quiz 5.
Tomorrow we will talk about logarithmic differentiation.
Quiz 5 problems.



Wednesday, 10/3/18.
QUIZ 5 TOMORROW< THURSDAY, on 3.3, 3.4 and 3.5.
Today we discussed 3.5: Applications of Chain rule --Implicit Differentiation(Notes).
Practice problems for 3.5:
3.5: 5, 13,15,19,25,33,45,51,53,63,67,75,80.


Monday, 10/1/18.
Today we discussed 3.4: Chain rule (Notes).
Updated notes on 3.3: Derivatives of trigonometric functions.
Practice problems for 3.3 and 3.4:
3,3: 3,9,15,17,21,35,37.
3.4: 7,17,23,31,37,53,63,67,75,77.


Thursday, 9/20.
Today we discussed Derivatives of trigonometric functions.
We saw how to differentiate sin x.
For practice, please try to find derivative of cos x.
Proof is very similar, using limit formula.
After that find derivative of tan x, cosec x, cot x, sec x.
For these functions you don't need to use limit formula.
Just use derivatives of sin x and cos x along with quotient rule.

Please read Solutions for Test I.
Test I problems.



TEST I THURSDAY SEP 27. REVIEW WED SEP 26
It will cover all of chapter 1 and 2 and first two sections of chapter 3.
Topics: Functions, Limits, continuity, basic definition of derivative, derivatives of polynomials and exponential functions, product and quotient rule.
Please study these old test problems with solutions:
Fall 2015 test 1 review problems;     Fall 2017 test 1 solutions;
First seven problems of Fall 2010 test I;     Fall 2017 Quiz 4 solutions

You must also study all class notes, practice problems and quiz problems.

PLEASE USE ebook for Stewart's Calculus 8th edition Early transcendentals so that the numbers of problems are same.

Monday, 9/24/18.
We completed these Notes (Product and quotient rule for derivatives) today.
Practice problems for today:
3.2: 3,7,11,17,21,31,41,43,57,58.


Friday, 9/21/18.
We completed these Notes (Properties of derivatives, derivatives of polynomials and exponentials) today.
We also watched this video on modeling spread of disease using calculus.
Practice problems for today:
3.1: 3,9,11,19,23,32,33,47,45,51,53,55.


Thursday, 9/20.
Please read Solutions for Quiz IV.
Tomorrow we will talk about derivatives of polynomials and exponential functions.
Quiz IV problems.



QUIZ 4 THU Sep 20.
Will cover 2.5 to 2.8.

Wednesday, 9/19/18.
We completed section on derivatives of these Notes (Limit formula for derivatives, Properties of derivatives) today.
Practice problems for today:
2.7: 3,7,15,20,33,47.
2.8: 3,13,23,29,59.



Monday, 9/17/18.
We completed section on limits at infinity of these Updated Notes (Continuity and limits at infinity) today.
You may need to refresh your browser.
Practice problems for today:
2.6: 19,17,21,25,27, 31,61.
I think if you are using ebook for Stewart's Calculus 8th edition Early transcendentals the numbers might be the same.
I have been using the plain 8th edition ebook.
Anyway, you should check the topics and the problems to make sure we are looking at the same thing.


Friday, 9/14/18.
We completed upto page 8 (section on continuity) of these Notes (Continuity and limits at infinity) today.
Practice problems for today:
2.5: 3,9,11,19,21,33,41,45,53,55.
2.5 in print book is 1.8 in ebook. Problems are same.



Thursday, 9/13.
Please read Solutions for Quiz III.
Tomorrow we will talk about continuity and limts at infinity.
Quiz III problems.



QUIZ 3 TOMORROW (THURSDAY, 9/13).
Please study class notes and do the practice problems from 2.2,2.3,2.4.(Ebook 1.5,1.6,1.7)
It will be about finding limits and the precise definition of limits.

Wednesday, 9/12/18.
We completed these Updated Notes (Methods for finding limits) today.
You may need to refresh your browser.
Practice problems for today:
2.4: 11,13,21,28,31,37.
2.4 in print book is 1.7 in ebook. Problems are same.



Monday, 9/10/18.
We went up to page 19 of these Updated Notes (Methods for finding limits) today.
You may need to refresh your browser.
Practice problems for today:
2.2: 11,31,37,41
Ebook: 1.5: 11,31,37,39.
2.3: 15,17,19,27,29.
2.3 in print book is 1.6 in ebook. Problems are same.



Friday, 9/7/18.
We went up to page 11 of these Notes (Methods for finding limits) today.
We also watched this video Video (Crash course on derivatives). Mainly to show relationship between tangents, secants, and instantaneous velocity.
We will see the limit formula for derivative later.
Practice problems for today:
2.2: 5,9,33,43,44.
Ebook: 1.5: 5,9,31,40 ; problem 43 from print: Find limit of lnx-(1/x^2) as x -> 0.
2.3: 35,37,39.
2.3 in print book is 1.6 in ebook. Problems are same.

Solutions for Quiz II.

Quiz II problems.



Thursday, 9/6/18.
Practice problems for 2.1: 3,5,7.
2.1 in print book is 1.4 in ebook. Problems are same.


Wednesday, 9/5/18.
Notes from today (2.1: Introduction to limits and tangents; solution to problem 61 of 1.5).
Tomorrow we will have a quiz on 1.4, 1.5 and 2.1.
Note that the sections have been rearranged in ebook -- see below.

I will be in office tomorrow 1 to 3 if you need help.


Friday, 8/31/18.
We just did a few problems on exponential functions and logarithms today because school was closed at 3pm.
Please review the basics properties of exponentials and logarithms from the book.
I have updated the notes from yesterday with what we did today.
Updated Notes from yesterday (1.4: Inverse and 1-1 functions and Logarithms).
(You may need to reload your browser).
On wednesday we will start with tangents and limits.
On thursday we will have a quiz on 1.4, 1.5 and 2.1.
Note that the sections have been rearranged in ebook -- see below.



Thursday, 8/30/18.
Notes from today (1.4: Inverse and 1-1 functions and Logarithms).

We didn't have time to go over basic properties of exponential and logarithm functions such as multiplication of exponential functions and addition of logarithms but please review them from college algebra or precalculus book if book explanation is not adequate.
practice problems: 1.5: 7,19,25,37,53,61.
ebook: 6.1: 7,21 ; problems 25, 37,63,61 are not in ebook --they are in this handout.
Note: the sections in the ebook are in a different order from the sections in the print book. Also some problems are not in ebook. As much as possible I will give you the problems from textbook here if they are not in ebook.

Notes from wednesday (1.4: Exponential functions).

practice problems: 1.4:3,15,21,30,32.
See handout above if you only have ebook because these problems might not be in ebook.

Solutions for Quiz I.

Quiz I problems.



Friday, 8/24/18.
On Monday I will be on campus only from 9 to 11.
Please come to office at that time if you need help for quiz.
QUIZ ON MONDAY, 1.1,1.2 and 1.3.
(Another professor will give the quiz, so please come to class).
Practice problems from 1.3: 3,7,11,17,35,53,55.
Quiz problems will be similar to practice problems.

notes from today (1.3: transformation and combination of functions).

EXTRA READING IF INTERESTED:
Fractals can be generated by repeated application of same procedure,
similar to how we can compose a function with itself to get f(f(x)), f(f(f(x)))) etc.,
Video to show how snowflake shape can be obtained this way.
It also shows that if you continue this infinitely, then you get a shape where no matter how small you zoom into it, each part looks like the bigger curve.




Friday, 8/24/18.
I have reloaded the notes from yesterday.

It didn't upload properly before.


Thursday, 8/23/18, 9.50pm.
Today we talked about the definition of a function, domain of function, piecewise defined functions, increasing and decreasing functions, even and odd functions and their relation to symmetry about y axis and origin (0,0) repectively. We also did some problems.

Please read the notes from below and also section 1.2 from book.
Please try the following problems:
1.1: 41,44,51,53,57,65,73,77

Notes for Class today(8/23/18 class notes -- basics of functions)
Notes from fall 2017 on functions and models
Notes from fall 2017 on some common functions and their properties --mainly absolute value function and floor function.

Thursday, 8/23/18, 10.20 am.
Happy to let you know that we have a room assigned for thursdays.
We will meet in EJH 320 at the usual time (3.10 pm) only on Thursdays.
Just Hall is the biology building, right next to chemistry.

On other days (MWF) we will meet in the usual place.


Wednesday, 8/22/2018
Please check this page before class tomorrow.
Meet at 2.10 in usual room unless otherwise specified.

I will post the room and time here if it is different.
Practice problems from 1.1:
Try 7,9,11,15,31,35,37,38,57,59

Monday, 8/20/2018
Notes for Class today(Introduction)
Chart shown in class today; See notes above



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.