#### Welcome to the second course in real analysis!

Real analysis is the study of functions on Eucliean space. You might think this sounds fairly simple, but there are lots of beautiful subtleties here. For example, what does it really mean for a function to be differentiable? Are all functions differentiable? Are they derivatives of some other function? How different are continuous and differentiable functions? What can we learn about a function from its derivatives? What do integrals tell us about functions? These are some of the questions we will try to come to grips with this term.

Announcements:

• Please take part in the Course/Instructor Opinion Survey (CIOS). Written comments are most appreciated and will help shape future versions of this course (and others). Please comment on specific things you liked  and did not like about the course. Your feedback is most appreciated!
• Our final exam is Tuesday, December 7 from 2:50 to 5:40 in our stadard room (Skiles 256). Here is a practice exam. The final exam will have 5 questions plus several True-False questoins.
• Our second mid-term exam will be in class on November 9. It will cover the material in Sections III and IV A and B of the class notes and Homework Assignments 3 and 5. The exam will consist of 4 proof/computation problems and several true/false questions. Here are some practice test problems to give you an idea of the difficulty of the questions on the test, also one or two of the problems (or ones very close to them) might show up on the test. The best way to prepare for the test is to (1) go through the class notes, (2) go through all the homework problems, (3) work the practice test problems.
• Our first mid-term exam will be in class on September 28. It will cover the material in Sections I and II of the class notes and Homework Assignments 1 and 2. The exam will consist of 4 proof/computation problems and several true/false questions. Here are some practice test problems to give you an idea of the difficulty of the questions on the test, also one or two of the problems (or ones very close to them) might show up on the test. The best way to prepare for the test is to (1) go through the class notes, (2) go through all the homework problems, (3) work the practice test problems.
• Due to campus  being closed on September 12, Homework Assignment 2 is now due on September 26.