MATH 1953 (Section 5)
Calculus III
Spring 2019

This is the homepage for MATH 1953 (Calculus III), Section 5. This page will be updated throughout the term with important information for our course, including homework assignments, review materials, solutions to assignments, and more.


  • Solutions to Written Assignment 9, Exam 3, Exam 4, and the practice final exam are posted below. Remember that you WILL be supplied with the posted formula sheet/unit circle for your final exam!
  • I will not have scheduled office hours Monday/Tuesday/Wednesday before our exam, but am free basically any time: if you come up with anything you'd like to ask about, please just write and tell me when you'd like to come and I will be there. If several students ask to meet around the same time, I'll make those "scheduled office hours'' and will write you all to let you know.
  • In addition to scheduled office hours, remember that the Math Center is staffed with many tutors who can help you. The Math Center is staffed from 9-5 Monday-Thursday, 9-12 Friday, and 12-5 on Sunday, starting on Tuesday, April 2nd. (See the Math Center homepage for more details.)
Course Information


Ronnie Pavlov
Office: Knudson Hall 204
Phone: (303)-871-4001
Office hours: M 11-12, T 2-3, W 2-3, F 9-10, or by appointment.

Graduate TA:

Hwajin Park
Office: Knudson Hall 305
Office hours: Th 2:30 - 5:00 (HELD IN KNUDSON 200A!)

Text: Single Variable Calculus: Early Transcendentals 8th Edition by Stewart.

This book is available at the DU Bookstore.

The sections which we will be covering in the text are 4.4, 7.8, 10.1-10.4, and 11.1-11.11.

Course summary
This course has two main parts. In the first, we will examine some applications of the material from Calc I and Calc II, including L'Hopital's rule (4.4), improper integrals (7.8), and finding areas and lengths for curves defined using parametric or polar coordinates (10.1-10.4). In the second half of the course (11.1-11.11), we will study various aspects of sequences and series of real numbers. Much of our focus will be on the question of convergence of an infinite series of numbers; when does it make sense to "sum up" an infinite set of numbers? Finally, we finish the course with Taylor series. Taylor series are a beautiful marriage of calculus and infinite series, essentially allowing us to approximate most common functions (trigonometric, exponential, etc.) by a sort of "infinite polynomial."

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 Thomas! 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 online and written homework assignments (roughly 1 each per week), four one-hour exams, and a final exam, broken down in the following way:

30% Final exam
45% Midterm exams (15% each; lowest dropped)
15% WebAssign
10% Written homework

Some homework assignments will be posted and collected using WebAssign, an online tool for problem dissemination. Your lowest two homework assignment grades will be dropped. 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 6908 3964. With this, you should be able to create an account with your own username and password and start learning about the system.

You will also have written homework assignments, posted below and due in class on Wednesdays. Assignments turned in after the first 15 minutes of class will be counted as late, and subject to the usual late homework penalty scheme (described below.) These written assignments will be posted here at least one week in advance.

  • Written Assignment 1 and solutions.
  • Written Assignment 2 and solutions.
  • Written Assignment 3 and solutions.
  • Written Assignment 4 and solutions.
  • Written Assignment 5 and solutions.
  • Written Assignment 6 and solutions.
  • Written Assignment 7 and solutions.
  • Written Assignment 8 and solutions.
  • Written Assignment 9 and solutions.

    Late homework assignments will have a percentage subtracted according to the following policy:

    2-3 days late: -50%
    >3 days late: not accepted

    You will have four exams, all in our classroom during class time on Fridays (dates will be finalized soon). Your lowest exam grade will be dropped. For this reason, I will not give makeup exams except in the case of an excused absence out of your control, such as sickness or a DU athletic event. Our final exam will be on Wednesday, June 12th in our classroom from 4:00 - 5:50 p.m. More information about the exams will be posted later in the term.
    Documents from Hwajin's Friday classes

    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 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!!!