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 1/11/2016

UPDATE PAGE from Fall 2015 Calculus I with

You can get into the online homework website Webassign using the class key: howard 6189 7548

You will have 14 days of free access and will need to purchase the ebook during that time.

Updated 4/29/2016.

Grades have been posted on Bisonweb.

BRIEF SOLUTIONS FOR FINAL EXAM

REVIEW 4/25 MON 11 TO 1PM ROOM 213 ASB-B

some review problems for final

SOLUTIONS FOR FALL 2015 FINAL EXAM

Updated 4/22/2016.

SOLUTIONS FOR TEST III

Details to follow.

Updated 4/14/2016

STUDYING FOR TEST 3: Study quizzes 7, 8 and 9 and all practice problems from 4.3, 4.4, 4.5, 4.7, 4.9 and 5.1 to 5.5.

Also use this set of review problems to prepare.

Fall 2015 TEST III SOLUTIONS

I have created a wikipedia assignment for extra credit (max. 50 points). It is mainly intended for graduating seniors but if you are struggling in the class you can do it also. If you currently have an A or B in the class I may not give you the extra credit. It is due by the 25th.

Click here to enrol in the wikipedia assignment page. After enrolling, choose an article to work on. It should be related to integrals and area under curve. There is support available on the wiki page for selecting article and asking questions.

Updated 4/12/2016

For family reasons I will be unable to be there for friday's class and hence will have to cancel it.

Some of these problems will appear in Test 3. We will go over problems very similar to these in class. Also I will be in office 10 to 1 on friday to help with the homework.

"QUIZ 9":

5.1: 5,15 ; 5.2: 9 ; 5.3: 37,61 ; 5.4: 59,67 ; 5.5: 25,57,69

Updated 4/8/2016:

QUIZ 8 SOLUTIONS

If it doesn't display properly hit the Refresh or Reload button and upload again.

Updated 4/6/2016

Please study practice problems and also try quiz 8 of Fall 2012 ,

Problems 1 and 2 of Quiz 8 of fall 2015

and problem 5 of this old test

Graph for above problem

Note that there are no problems from 4.9 in these quizzes. Use practice problems for 4.9

Practice problems for 4.5, 4.7 and 4.9:

4.9: 5,15,17,25,35,41,45,53,59,61,67,75.

4.7: 3,5,11,15,20,21,23, 31,35,37,41,45,51,74.

4.5: 9,15,35,43, 55, 59.

Updated 4/1/2016:

QUIZ 7 SOLUTIONS

If it doesn't display properly hit the Refresh or Reload button and upload again.

Updated 3/29/2016

Please study practice problems and also try quiz 7 of Fall 2012 ,

Quiz 7 of fall 2015,

and problem 3 of Quiz 8 of fall 2015.

Practice problems for 4.2, 4.3 and 4.4:

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

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

4.2: 7,9,11,17,19,21, 25,27,35,37.

Updated 3/25/2016.

SOLUTIONS FOR TEST II

Updated 3/22/2016

Practice problems for 4.1 and 4.2:

4.1: 5,7,13, 25, 49, 52, 55, 57, 61, 69,73.

4.2: 7,9,11,17,19,21, 25,27,35,37.

Updated 3/11/2016:

QUIZ VI SOLUTIONS

If it doesn't display properly hit the Refresh or Reload button and upload again.

CHAPTER 3 sections 3.1 to 3.10 and SECTIONS 1 & 2 OF CHAPTER 4

REVIEW IN CLASS ON THU, 3/24

Study all practice problems below.

You can also use the following to review.

Please try the problems first before looking at the solution.

If you have further questions we can go over them during the review on thursday 3/24.

Fall 2015 TEST II SOLUTIONS

Fall 2012 TEST II SOLUTIONS

Fall 2015 Solutions to review test

Updated 3/10/2016

Solution for problem 21 of section 3.7 that we didn't get to finish in class today.

Updated 3/7/2016:

Please study practice problems from 3.7, 3.8, 3.9, 3.10 (below)

Try quiz 6 of fall 2015

Also try problems 3,4,5 of quiz 6 and problem 3 of test 2 from fall 2012;

problems 3 (first part only) from quiz 7 of spring 2010 ;

problems 3,7 from test 3 of spring 2010 ;

problems 2,3 of quiz 6 of spring 2010 ;

and problems 4,5,6 of this old precalculus test

Practice problems for 3.7 to 3.10 :

3.7: 11,13,15, 26,27, 31.

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

3.9: 5,7,17,29,37,43

3.10: 7,13,23,33,39

Updated 3/5/2016:

QUIZ V SOLUTIONS

If it doesn't display properly hit the Refresh or Reload button and upload again.

Updated 3/2/2016

Please study practice problems from 3.4, 3.5, 3.6

and the short practice quizzes for those sections on webassign.

It has video tutorials if you have trouble with the problems.

On main page on the left look under "Overview" and click on chapter 3.

Look above at top of this page for instructions for logging in.

Also try quiz 5 from fall 2015

quiz 5 of fall 2012

Practice problems :

3.6: 3,9,19,31,39,45.

3.5: 5,15,19,25,29,45,49,51,63,67.

Updated 3/1/2016

Practice problems: 3.4: 7,13,17,23,47,55,61,76,81,86.

Updated 2/26/2016:

QUIZ IV SOLUTIONS

If it doesn't display properly hit the Refresh or Reload button and upload again.

Updated 2/24/2016

Practice problems: 3.2: 7,11,23,33,43,45,51,59.

It will cover 3.1,3.2 and 3.3.

Please try the short practice quizzes for 3.1,3.2 and 3.3 on webassign.

It has video tutorials if you have trouble with the problems.

On main page on the left look under "Overview" and click on chapter 3.

Look above at top of this page for instructions for logging in.

Use the following to prepare, but please try as many of the practice problems as possible, first:

Fall 2012 QUIZ 4 solutions

Fall 2015 QUIZ 4 solutions

Also please try problem on limit of sinx/x in quiz below:

Fall 2012 QUIZ 3 solutions

Updated 2/23/2015

Practice problems for today:

3.1:3,11,19, 23,31,53,55,57,71,75,83.

Updated 2/20/2016.

SOLUTIONS FOR TEST I

Explanation of epsilon delta proof of limits

More Details on test below

Updated 2/14/2016.

Solutions to Quiz 3

Updated 2/12/2016.

Practice problems for 2.7 and 2.8:

2.8: 3,15,23,27,29,35,51,57,59.

2.7: 9,13,27,33,49,51.

Updated 2/11/2016

It will cover 2.5,2.6,2.7 and the part of 2.8 we cover in class thursday.

Based on practice problems posted everyday.

I have added all exercises from chapter 2 as assignment 1 on webassign.

Look above at top of page for instructions for logging in.

So you can try the practice problems there. It has video tutorials.

Scroll through the problem list to find your problem.

Use the following to prepare, but please try as many of the practice problems as possible, first:

(Please ignore problems on limit of sinx/x )

Fall 2012 QUIZ 3 solutions

Fall 2015 QUIZ 3 solutions

Practice problems for 2.6: 15,17,19,25,27,32,44,47,49,69

2.5 (in addition to ones below): 51,57,61,62

CHAPTERS 1 AND 2 AND SECTIONS OF CHAPTER 3 COVERED BY WED, FEB 17

REVIEW IN CLASS ON THU, 2/18

Study all practice problems below.

You can also use the following to review.

Please try the problems first before looking at the solution.

If you have further questions we can go over them during the review on thursday 2/18.

Fall 2015 TEST I SOLUTIONS

Fall 2012 TEST I SOLUTIONS

Fall 2015 Solutions to review test

Updated 2/9/2016

Practice problems:

2.5: 3,11, 15, 19, 21, 33,40, 41, 45

2.4: 19,25,29,31,42.

Updated 2/5:

QUIZ II SOLUTIONS

If it doesn't display properly hit the Refresh or Reload button and upload again.

It will cover 2.1,2.2,2.3 and the part of 2.4 we cover in class thursday.

Based on practice problems posted everyday.

I have added all exercises from chapter 2 as assignment 1 on webassign.

Look above at top of page for instructions for logging in.

So you can try the practice problems there. It has video tutorials.

Scroll through the problem list to find your problem.

Also please watch short video below.

You can also use the following to prepare, but please try as many of the practice problems as possible:

Fall 2012 QUIZ 2 solutions

Fall 2015 QUIZ 2 solutions

Practice problems for 2.3: 11,17,22,33,35,37,42,57,58

Updated 2/1/2016

Practice problems for today:

Do 19,21,23,47 from 2.2 and 2,3,5,7 from 2.1.

Updated 1/31/2016

Video elaborating on friday's class: Limit process explained using slope of tangent and the number e

It is not quite professional grade ( :-) ) but I hope it helps you understand the material. Your feedback is welcome.

Note that according to the mean value theorem to be discussed later, there will be secants whose slope equal to that of the tangent, but what is a coincidence is that for a parabola these secants go through points at same distance on either side, at each point.

Very simple questions based on material in video might appear in next Quiz.

Examples: The slope of the tangent at a point is the limit of the slope of what lines?

Show that the slope of certain secant lines on the parabola is exactly equal to that of the tangent line at a point.

Updated 1/29:

QUIZ I SOLUTIONS

Updated 1/27/2016

Solution to a problem on composition of functions

Webassign information above. It will be useful for doing practice problems.

Updated 1/26/2016

Will do some practice problems on wednesday.

Updated 1/19/2016

If class is canceled due to snow, it will be on Monday.

Based on practice problems posted everyday.

You can also use the following to prepare, but please try as many of the practice problems as possible:

Fall 2012 QUIZ 1 solutions

Fall 2015 QUIZ 1 solutions

PRACTICE PROBLEMS FOR WED AND THU 1/20, 1/22:

Sec 1.4:(Pages 53-55) 15, 21, 24, 31

Sec 1.5:(Pages 66-68) 7,17,19,25,53,61

Helpful videos about exponential function, using examples from compound interest and radioactive decay:

A Tutorial on compound interest from Khan Academy

Tutorial on exponential decay, from Khan academy

Updated 1/14/2016

PRACTICE PROBLEMS FOR TODAY:

Sec 1.1:(Pages 19-22) 7,8,9,10,11,15, 31, 35, 41, 51, 53, 57, 59,65, 73, 77.

Sec 1.2:(Pages 34-35) 12, 15,19

Sec 1.3:(Pages 44-45) 3,7, 17,19, 21, 37, 49, 55

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.