MATH 3162
Real Analysis
Winter 2019

This is the homepage for MATH 3162 (Real Analysis). This page will be updated throughout the term with important information for our course, including homework assignments, review materials, and more.


  • Solutions for Assignment 7 are posted below.
  • A practice final exam and topics list have been posted below. Bring review questions on Monday!
Course Information

Course meets every Monday and Wednesday from 2:00 p.m. - 3:50 p.m. in Knudson 101, and the graduate recitation section is held every Friday from 12:00 p.m. - 1:00 p.m. in Knudson 201.

Instructor: Ronnie Pavlov
Office: Knudson Hall 204
Office hours: Monday 11-12, Wednesday 4-5, Thursday 4-5, or by appointment.

Graduate TA: Alex Stevens
Office: Knudson Hall 303
Office hours: Wednesday 9-10, Friday 1-2.


Text: Understanding Real Analysis by Stephen Abbott, 2nd edition.

IMPORTANT: This book does have some typos/errors. Click this link for the current list of errata, and please notify me if you find any new ones!

This book is available at the DU Bookstore.

Grading scheme

Your term grade will consist of written weekly homework assignments (which will mostly be taken from the text), short e-mail homework assignments (due most class days), one midterm exam, and one final exam, broken down in the following way.

40% Written homework
25% Midterm exam
35% Final exam


You will have weekly homework assignments, to be turned in at the BEGINNING of class on Mondays. Assignments turned in after the first 10 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.

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

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


You will have one midterm on Monday, February 18th and one final exam on Thursday, March 21st. Both exams will be in our classroom during classtime. (2:00 p.m. - 3:50 p.m.)

Course Policies

Students in this course are expected to abide by the University of Denver’s Honor Code and the procedures put forth by the Office of Citizenship and Community Standards. Academic dishonesty - including, but not limited to, plagiarism and cheating - is in violation of the code and will result in a failing grade for the assignment or for the course. As student members of a community committed to academic integrity and honesty, it is your responsibility to become familiar with the DU Honor Code and its procedures: see

Students with Disabilities: If you qualify for academic accommodations because of a disability or medical issue, please submit a faculty letter to me from Disability Services Program (DSP) in a timely manner so that your needs may be addressed. DSP determines accommodations based on documented disabilities/medical issues. DSP is located on the 4th floor of Ruffatto Hall, 1999 E Evans Ave, 303-871-2278. Information is also available online at; see the Handbook for Students with Disabilities.

Religious Accommodations: University policy grants students excused absences from class or other organized activities for observance of religious holy days, unless the accommodation would create an undue hardship. Faculty are asked to be responsive to requests when students contact them in advance to request such an excused absence. Students are responsible for completing assignments given during their absence, but should be given an opportunity to make up work missed because of religious observance. Once a student has registered for a class, the student is expected to examine the course syllabus for potential conflicts with holy days and to notify the instructor by the end of the first week of classes of any conflicts that may require an absence (including any required additional preparation/travel time). The student is also expected to remind the faculty member in advance of the missed class, and to make arrangements in advance (with the faculty member) to make up any missed work or in-class material within a reasonable amount of time.