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 8/16/2017

UPDATE PAGE from Spring 2016 Calculus I with

You can get into the online homework website Webassign using the class key: howard 5280 7685

You will need an access code that came with the ebook or in the textbook at the time of purchase.

Posted 1/15/2018.

ONE VERSION OF THE FINAL EXAM

BRIEF SOLUTIONS FOR FINAL EXAM VERSION ABOVE

FINAL EXAM DEC 5 TUE, 3.30PM TO 5.30PM, DGH 143.

BRIEF SOLUTIONS FOR SPRING 2016 FINAL EXAM

(Spring 2016)some review problems for final

SOLUTIONS FOR FALL 2015 FINAL EXAM

REVIEW MON DEC 4, 11AM TO 1PM,

Thursday, 11/30/17

Solutions for Test III (BOTH VERSIONS IN SAME FILE).

On monday I will bring updated grade sheet to review.

TEST 3 (LAST ONE) ON THU NOV 30. REVIEW WED NOV. 29.

4.4 to 4.7, 4.9 and 5.1 to 5.5.

Please study these old test problems with solutions:

Fall 2015 test 3 review problems(all EXCEPT #2)

Fall 2015 test 3 review solutions (First try test problems above!)

Spring 2016 test 3 (all EXCEPT #3)

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

Wednesday, 11/22/17

Happy Thanksgiving!

Solutions for Quiz 10

NOTE: Every quiz from now on will help you improve your grade.

We will have quiz 10 (LAST ONE) on wednesday before Thanksgiving (11/22).

After thanksgiving we'll only have time to prepare for Test 3 and Final.

Monday, 11/20/17

Sorry for delay in posting. Was busy throughout the day talking to students.

Notes from today's class (Integration by Substitution)

Practice problems for 5.5: 13,21,25,35,45,59,66,69,79,84.

(for 66 use the fact that sine is an odd function. Look at example 11).

Friday, 11/17/17

Today we did more topics from 5.3 and 5.4.

I have updated the notes from wednesday (reload the file below).

Practice problems for 5.4: 31, 37,43,61,63,67,71.

Thursday, 11/16/17

Sorry for delay in posting. Family engagements intervened.

Updated notes from yesterday's class (Definite Integral and Fundamental Theorem of Calculus)

with additional material on fundamental theorem of calculus and some problems from 5.3 & 5.4.

Please read this before coming to class tomorrow.

We will do some problems from 5.3 and 5.4 tomorrow.

Practice problems for 5.3: 3,9,13,21,29,31,37,45,63.

Wednesday, 11/15/17

Notes from today's class (Definite Integral and Fundamental Theorem of Calculus)

with additional material on fundamental theorem of calculus (5.3)

Please read this before coming to class tomorrow.

We will do some problems from 5.2 and 5.3 tomorrow.

Practice problems for 5.2: 7, 9, 19, 33, 37,56, 57, 63.

Monday, 11/13/17

Solutions for Quiz 9

Thursday, 11/9/17.

QUIZ 8 on monday, 11/13, on 4.7,4.9,5.1.

5.1 practice problems: 5,13,21,26.

EXTRA CREDIT PROJECT:(20 points)

Do problem 32 in 5.1 and explain it to me in office (without writing it down) before thanksgiving.

You will also have to answer related questions.

Wednesday, 11/8/17

Notes from class today (Antiderivatives-4.9).

The following powerpoints will help you understand material from 4.9 and chapter 5.

Basics of Integration

Integration applications

Practice problems (in addition to ones below, before quiz 8):

4.9: 5,15,17,25,35,41,45,53,59,61,75.

Monday, 11/6/17

Notes from class today (Optimization Problems-4.7).

Practice problems (in addition to ones below, before quiz 8):

4.7: 35,37, 41,45,51,61,74.

Friday, 11/3/17

Solutions for Quiz 8

QUIZ 8 on Friday, 11/3, on 4.4,4.5,4.6, and parts of 4.7.

Thursday, 11/2/17

Today we went over some of the VERY IMPORTANT section 4.7.

Will finish the rest next monday.

For the quiz tomorrow study 4.4 to 4.6 and the following from 4.7:

4.7: 3,5,9,15,19,20.

Wednesday, 11/1/17

Notes from class today (L'Hospital's rule, Curve sketching using derivatives).

Practice problems:

4.5: 9,15,21,35,43,55,57,67.

4.6: 6,11.

Monday, 10/30/17

Notes from class today (L'Hospital's rule).

Practice problems:

4.4: 9,13,17,19,25,27,33,43,47,59,73,78,81.

Friday, 10/27/17

Solutions for Test II (BOTH VERSIONS IN SAME FILE).

On monday we will discuss L'Hospital's rule.

3.1 to 3.10 and 4.1 to 4.3.

Please study these old test problems with solutions:

Fall 2015 test 2 review problems; Spring 2016 test 2

Also do problems from the following (except those using L'Hospital's rule):

Quiz 7 of Fall 2012 ,Quiz 7 of Fall 2012 , Quiz 7 of fall 2015 .

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

Wednesday, 10/25/17

Notes from class today (First and second derivative tests, behavior of function).

Practice problems:

4.3:11,13,17,22,33,37,43,47,53.

Tuesday, 10/24/17

Solutions for Quiz 7 (both versions) with comments

Solutions for Quiz 6. Sorry this wasn't uploaded earlier.

Monday, 10/23/17

We will have quiz today.

Also please check above for details on test on Friday.

Quiz 7 will be monday, 10/23, on 3.10, 4.1 and 4.2.

Friday, 10/20/17

I have updated the notes from wednesday with more problems from 4.1 and 4.2

that we did in class today.

Thursday, 10/19/17.

Today we discussed Rolle's theorem and its application.

Please read the notes from yesterday for both Rolle's theorem AND Mean Value Theorem.

I will do some problems from 4.2 tomorrow.

Practice problems:

4.2: 7,9,11,17,19,21,25,27,37.

4.1:5,7,49,52,55,57,61,69,73.

3.10: 5,13,23,33,40.

Wednesday, 10/18/17

Quiz 7 will be monday, 10/23.

Notes from class today as well as some material for tomorrow (Maxima/Minima and Mean Value Theorem).

Practice problems:

4.1:5,7,49,52,55,57,61,69,73.

Also read example 10 in 4.1 for example of space travel application.

We watched the video from Hidden figures where she studies the Euler method that involves a bit of differentials.

We also watched this talk from University of Leicester about the application of Calculus in Space Science

QUIZ 6 on friday, on 3.7,3.8,3.9.

Wednesday, 10/11/17

Notes from class today (More Applications of chain rule: Related Rates)

Practice problems:

3.9:7,17,29,39,43.

Monday, 10/9/17

Notes from class today (Applications of derivatives, especially to exponential functions

Practice problems:

3.7:11,13,15, 20,26,31.

3.8: 3,5,9, 11,15,21.

Friday, 10/6/17

Solutions for Quiz 5

Monday we will do 3.7 and 3.8 -- Applications of derivatives.

We will have a quiz on fri, covering 3.4,3.5 and 3.6.

Thursday, 10/5/17

Today we used implicit differentiation to find derivatives of inverse trigonometric functions and the logarithmic function.

We also learned how to differentiate functions using logarithms.

Practice problems for today:

3.5: 49,51,63,67.

3.6: 3,9,13,19,21,31,39,45,49.

Wednesday, 10/4/17

Notes for today's class (More Applicatons of Chain Rule)

Practice problems for today:

3.5: 5,15,19,25,29,45.

Monday, 10/2/17

Notes for today's class (Chain Rule)

Practice problems for today:

3.4: 7,13,17,23,47,55,61,76,81.

Friday, 9/29/17

Solutions for Quiz 4 (both versions)

Monday we will start chain rule.

Thursday, 9/28/17

Today we found the derivative of sin(x) using the limit of sin(h)/h as h -> 0.

We also found (cos(x))'.

Practice problems for today:

3.3: 3,9,19,22,37,39,51.

Wednesday, 9/27/17

Notes for today's class (Product and Quotient rule with examples; Problem 3.1.56 modified)

Practice problems for today:

3.2: 3,17,21,31,45,49,57,59.

Monday, 9/25/17

Notes for today's class (derivatives of polynomials & exponential functions)

Practice problems for today:

3.1: 23, 31,52,53,55,57,71

Friday, 9/22/17

Solutions for Test I (ALL THREE VERSIONS IN SAME FILE)

Thursday, 9/21/2017

I will post the solutions tomorrow. Sorry for delay!

I think people did well.

TEST I THURSDAY SEP 21; REVIEW SEP 20 WEDNESDAY

TEST I ALL OF CHAPTERS I & II;

(I have chosed thursday 9/21 instead of monday 9/25 in order to keep up with syllabus and also give you chance to ask questions on day before test).

Please study these old test problems with solutions:

Fall 2015 test 1 review problems; Spring 2016 test 1

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

Monday, 9/18/2017

Please see old test problems with solutions posted above, to help you prepare for the test.

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

Here are notes what we did in class today.

Notes for today's class (Basic definition of derivatives using limit formula)

Practice problems for today:

2.7: 3,7,15,20,33,47.

2.8: 3,13,23,29,59.

Friday, 9/15/2017

Please see old test problems with solutions posted above, to help you prepare for the test.

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

Here are notes from thursday updated with what we did in class today.

Notes for today's class (Continuity, limits at infinity)

Please pay special attention to last page -- I talked about it in class but didn't do an example. I have included an example here.

We also started derivatives but I will post notes of that monday.

Practice problems for today:

2.6: 17,25,27,37,51,69,75.

Note: Limits at infinity (2.6) will be continued on friday. It is not included for the quiz 3.

Thursday, 9/14/17

Solutions for Quiz III (BOTH VERSIONS IN SAME FILE)

Wednesday, 9/13/2017

Here are updated notes from class today. It also contains some things we will do on friday.

Notes for today's class (Continuity, limits at infinity)

Practice problems for today:

2.5: 3,11,21,33,45,51,57.

Note: Limits at infinity (2.6) will be continued on friday. It is not included for the quiz 3.

Monday, 9/11/2017

Here are updated notes from class today and friday. It also contains some things we will do on wednesday.

Notes for today's class (Methods for finding limits, Precise definition of limits)

Practice problems for today:

2.4: 11,13,21,28,31,37.

Friday, 9/8/2017

Look above for instructions to use Webassign, the homework website that accompanies the textbook. It will be useful but is only for practice.

Today we talked about methods for finding limits: the Squeeze theorem, using factorization, etc.,

The notes below also contains some things we will do on monday.

Notes for today's class (Methods for finding limits)

Practice problems for today:

2.2: 23,31,33,37,44,49.

2.3: 11,17,21,35,41,47.

Wednesday, 9/6/17

Solutions for Quiz II

Friday, 9/1/2017

It will cover 1.4,1.5, 2.1 and first half of 2.2. If you do the practice problems and study class notes you should be good.

I will be in office tuesday, 9/5, from 2 to 4pm.

Notes for today's class (Tangents, limits, and solution to 1.5.61)

Practice problems for today:

2.1:3,5,7

2.2: 5a,5d,5e,19,21.

Thursday, 8/31/2017

We will start Limits tomorrow. We need to finish basics of limits (2.1 and 2.2) before Quiz 2.

Today we talked about inverse functions, 1-1 functions and logarithms.

Practice problems for today:

1.5: 7,17,19,25,37,53,61

Wednesday, 8/30/2017

Class notes (see below) have been update and reloaded.

Notes for 8-30 class (Exponential functions and Exponential growth)

Practice problems for today:

1.4: 15,21,30

Tuesday, 8/29/2017

Class notes for tomorrow. I will update and reload it after class tomorrow.

Notes for 8-30 class(Exponential functions and Exponential growth)

Monday, 8/28/17

Solutions for Quiz I (for both versions in same file)

Friday, 8/25/17

Have updated the notes from today with things we did in class (see below). You might need to reload after clicking.

QUIZ I ON MONDAY, on 1.1,1.2,1.3.

Please try all practice problems. Quiz problems will be very similar.

Practice problems for 1.3: 3,7,11,17,35,53,55.

We will discuss some of the practice problems before starting quiz.

Thursday, 8/24/2017 (posted thursday at 3:50pm)

Have updated the notes from today (see below). You might need to reload after clicking.

Notes for friday's class (New functions from old)

Please try problems 17 and 30 from 1.2, for practice.

(posted wednesday 8/23, 5pm)

Notes from Class today (Some common functions and their properties)

Practice problems from 1.1:

Try 7,9,11,15,57,59 now ; Try 31,35,41,51,73,77 after thursday's class.

Wednesday, 8/23/2017

Notes from Class today (Functions and Models)

Monday, 8/21/2017

Please do the diagnostic test in the textbook (just before "Preview of calculus") and let me know if you have difficulties

Notes from Class today(Introduction)

Chart shown in class today; See notes above

Wednesday, 8/16/2016

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.

Updated 1/12/2016

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.