MATH 1951 (Sections 5 and 7)
Calculus I
Autumn 2010

This is the homepage for MATH 1951 (Calculus I), Sections 5 and 7. This page will be updated throughout the term with important information for our course, including homework assignments, review materials, solutions to assignments, and more. CHECK IT FREQUENTLY!


  • Our final exam is on SATURDAY, NOVEMBER 20TH, at 10:00-11:50 if you are in my morning class and 12:00-1:50 if you are in my afternoon class. The exam will just be in our usual classroom.
  • A practice final from last year is posted below. IT DOES NOT NECESSARILY COVER THE SAME MATERIAL AS OUR EXAM! In particular, problems 1b (we didn't cover log base 5), 6a (we didn't talk about how to do limits like this), and 7 (we didn't spend enough time on formal definition of a limit) are not problems which would show up on our exam. The rest should be good practice though.
  • Quiz 7 solutions are posted below.
  • Midterm 2 solutions are posted below. (The last page was accidentally omitted before, and is fixed now)
  • Some review materials have been posted for Midterm Exam 2, including a concept list, a "practice exam," and some suggested practice problems from Stewart.
  • You should now be able to access grades for the course on Blackboard. If you have problems with this, please come see me or send an e-mail.
  • In addition to scheduled office hours, remember that the Math Center is staffed with tutors who can help you. The Math Center is staffed from 1 p.m. - 7 p.m. Monday - Thursday and 9 a.m. - 1 p.m. Friday. There may be tutors there at other times as well, but someone is guaranteed to be there during the listed hours.
  • The diagnostic quiz from the first week of class will not count towards your final grade for the course; it is meant to be a tool to help you evaluate your readiness for the course. If you feel that this material was very difficult and/or or unfamiliar to you, (particularly the algebra portion), feel free to come talk to me or e-mail me and we can discuss your options.
Course Information

Instructor: Ronnie Pavlov
Office: John Greene Hall 304
Phone: (303)-871-4001 (note that this has been changed!)
Office hours: M 2-3:30, W 3:30-5, and by appointment

Graduate TA: Mark Greer
Office: John Greene Hall 218A
Phone: (303)-871-3017
Office hours: Tu 9-11, 4-6, W 3-5, Th 4-6 in the Math Center in the Penrose Library (NOT MARK'S OFFICE!!!)

Section 5 will meet every day from 11:00 - 11:50 in John Greene 205.
Section 7 will meet every day from 1:00 - 1:50 in Boettcher Auditorium 103.
Mark will lead the class on Tuesdays for both sections.

Text: Single Variable Calculus: Early Transcendentals 6th Edition by Stewart.

This book is available at the DU Bookstore, and will also be used for MATH 1952 and 1953.

The sections which we will be covering in the text are all of chapters 2, 3, and 4, EXCEPT for sections 4.4, 4.6, 4.8, and 4.9. (We MAY cover 4.6 if there is time.)

Course summary
Our course covers differential calculus, meaning that the main topic is the derivative and its applications. The course is broken into three main portions, roughly corresponding with chapters of your textbook: We begin with limits, both their computation and applications (Chapter 2), moving to derivatives, both their significance and techniques for their computation (Chapter 3), and finishing with various applications of derivatives (Chapter 4). Chapter 1 contains useful review information which you should already be familiar with for this course, and so we will not be covering it in class.

The most important advice I can give you for this course is to honestly evaluate your own progress. Mathematics, perhaps more than any other subject, allows for constant easy self-evaluation; either you know how to complete exercises from the section on your own, without outside help, or you do not. If you are having trouble, come see me or Mark! Either of us will be happy to discuss any aspect of the class which is causing trouble, either informally after class or during office hours. A difference of even a couple of days in seeking help can be absolutely devastating in such a fast-paced course, so PLEASE do not hesitate.

Grading scheme
Your term grade will consist of homework assignments (roughly 2 per week), weekly quizzes, two one-hour midterm exams, and a final exam, broken down in the following way:

40% Final exam
30% Midterm exams
20% Quizzes
10% Homework

Your homework assignments will be posted and collected using WebAssign, an online tool for problem dissemination. To get started, go to and create an account. To do this, go to the right-hand side of the page, and look for a link that says "I have a Class Key." (This is right under the words "Log in.") Your class key for our section is

du 4668 1800 if you are in Section 5 (meeting 11:00-12:00)
du 9459 4930 if you are in Section 7 (meeting 1:00-2:00)

With this, you should be able to create an account with your own username and password and start learning about the system. I have also posted a short 1-question homework assignment as a test to make sure that everyone can log into the system; please complete this by 11:59 p.m., WEDNESDAY, SEPTEMBER 15th.

You will have quizzes during each week of class that we do not have an exam. They will be roughly 20 minutes long, and will be given at the end of class on Tuesdays. Your lowest quiz grade will be dropped. For this reason, I will not give makeup quizzes except in the case of a documented absence. Exams
You will have two midterm exams on Thursday, October 7th, and Thursday, November 11th, during class time. Our final exam will be on November 20th, from 10:00 a.m. - 11:50 a.m. for Section 5 and 12:00 p.m. - 1:50 p.m. for Section 7.
  • Here is a practice final exam from last year. IT DOES NOT NECESSARILY COVER THE SAME MATERIAL AS OUR EXAM! In particular, problems 1b (we didn't cover log base 5), 6a (we didn't talk about how to do limits like this), and 7 (we didn't spend enough time on formal definition of a limit) are not problems which would show up on our exam. The rest should be good practice though.
  • Here are solutions for Midterm 2.
  • Here is a list of main concepts for Midterm 2.
  • Here is a list of practice problems from Stewart for Midterm 2.
  • Here are some practice problems for Midterm 2. (There are far too many of these to treat this as an actual "practice exam": if you are interested in treating this like an exam, try doing problems 1-5 in a 50 minute time frame with no outside aids.)
  • Here are solutions for the posted practice problems. (You should only look at these once you've at least attempted the problems yourself!)
  • Here are solutions to Problem 1, Problem 2, Problem 3, and Problem 4 for the graphing WebAssign.
  • Here is a list of main concepts for Midterm 1.
  • Here are solutions for Midterm 1.
Important Documents
Course Schedule (subject to minor changes!)

Course Policies
You may use a simple scientific calculator for all exams and quizzes. Graphing or programmable calculators are not allowed as well as calculators that can perform any kind of calculus or symbolic operations. Use of a non-approved calculator will be considered a violation of DUís honor code. If you have any questions about your calculator please see me.

Makeup quizzes or exams will only be offered in the event of extreme circumstances. If you think you have a problem which will force you to miss an exam, come talk to me as soon as possible!!!