Math 321 - Real Variables II - Spring 2019

Instructor: Malabika Pramanik
Office: 214 Mathematics Building
E-mail: malabika at math dot ubc dot ca
Lectures: Mon,Wed,Fri 9:00 AM to 10:00 AM in Room 460 of Leonard S. Klinck Building.
Office hours: Mon 10-11, Fri 11-12 or by appointment.

TA/Marker: Nicolas Folinsbee
E-mail: nfolinsb at math dot ubc dot ca
Office hours: Fri 12-1 in LSK 300C. Office hours subject to change after the first midterm.

Course information

Piazza links


The required textbook for this course is Principles of Mathematical Analysis, third edition, by Walter Rudin. The textbook is available at the UBC Bookstore .

UBC course description

The material is spread over Chapters 6-9 of the textbook.


Beginning-of-term registration information

Grading Scheme

Your grade will be computed based on the following formula:

Exam Dates and Policies

Policy on missed work

Academic misconduct


We will be migrating to Canvas this term for homework submissions. Homework assignments should be uploaded electronically as a single pdf file (either typed or scanned) by the due date and time (Wednesday every week at the beginning of class, so 9AM). They will be graded online, and your grades will be reported on Canvas as well. Homework assignments will be posted weekly here and on Canvas every Wednesday.

Practice problems

Here is a list of exercises from the textbook based on the weekly lecture material. They are not meant to be turned in for grading, but it is recommended that you work through them to get a better understanding of the topics covered. Some midterm and final exam problems may be modelled on these exercises. Unlike homework problems, detailed so lutions of these problems will not be posted, but I am happy to include hints upon request.

Real analysis lecture notes on the web

Here is a list of online lecture notes of similar courses offered at various institutions.

  • MIT open courseware .
  • John Lindsay Orr's Analysis Webnotes, University of Nebraska, Lincoln.
  • Eric Sawyer's lecture notes ,McM aster University.
  • Vern Paulsen's lecture notes, University of Houston.
  • Lee Larson's lecture notes, University of Louiville.
  • An introduction to real analysis by William Trench.

  • Help outside class

    Week-by-week course outline

    Here is a tentative guideline of the course structure, arranged by week. The textbook pages are mentioned as a reference and as a reading guide. The treatment of these topics in lecture may vary somewhat from that of the text.