Introduction to Analysis -- Fall 2011

Our second exam will be Monday, 10/31.  Everyone should again bring his or her portfolio to the exam for me to review.  You should also remember to pick it up after the exam as you leave.

The first assignment after is the second set of problems from section 13.  It has already been posted on the assignment page.  I will not be collecting revised + problems again for a few more weeks.

I will try to return the graded exams on Wednesday, 11/2.  Every student will be asked to prepare a set of exam corrections again.  They will be due a week after you get back your exam.

What to know for the exam.  The exam will cover  sections 10-12 and 13 up to and including theorem 13.10.  As on the first exam, you should know the statements of definitions and theorems, and be prepared to both explain what the theorems mean and provide proofs, except in cases where the proofs are very complicated.  Also be prepared to apply theorems to prove new results.  As one way of demonstrating your understanding of definitions, be able to verify that they hold (or do not hold) in specific examples, or to make up examples of your own.   For example, you  should be able to find limsups, liminfs, subsequences, limits of subsequences, the set of subsequential limits of a sequence,  interiors, boundaries, and closures of sets,  and be able to substantiate your conclusions.

I did not have time to prepare any sample questions for this exam.