Advanced Calculus II

UPenn MATH 3610, Fall 2022.
Advanced Calculus II


Syllabus and Course Structure

Welcome to Advanced Calculus 2 !

Material

This is primarily a course in metric spaces, including notions of continuity, limits, and compactness, with a particular emphasis on the study of spaces of functions. Our main source will be Basic Analysis I and Basic Analysis II by J. Lebl, available digitally free of charge at https://www.jirka.org/ra/ or in hardcopy from Amazon https://amazon.com/dp/1718865481 and https://amazon.com/dp/1718862407.

We will cover roughly the material in chapter 7 of Volume I, and much of Volume II, with an emphasis on the topics towards the end of the book.

Lectures

Course Structure

In the lectures, I will assume that all students have done the assigned reading. I will try to supplement the material by adding extra details and examples as needed.

Grading

The course grade will be as follows:

Tentative exam dates: Thursday, September 29; Thursday, November 3; Thursday, December 1.

How to be successful

To be successful in the course will require:

In practical terms, if you want to do well in the course, it is absolutely essential that you keep up with the material in a timely way. Late homework will generally not be accepted.