Introduction to Analysis -- Fall 2011

Our first exam will be Wednesday, 9/28.  Everyone should 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.  For this review, I am just checking that everyone is building a portfolio as requested, and a couple of the sections will be empty.  For more information about requirements for your portfolio, click here.

The first assignment after the exam is to revise any of the plus problems you wish to resubmit.  There have been four assigned so far: 1.9, section 1 extra problem 2, 4.7b, and section 2 extra problem 2.   I will collect the revised plus problems on Wednesday, 10/5.

I expect to return the graded exams on Monday, 10/3.  Every student will be asked to prepare a set of exam corrections, as described here.  The exam corrections will be due Monday 10/10.

What to know for the exam.  The exam will cover  sections 1 - 5 and 7 - 9 of the text.  Know the statements of definitions and theorems, and also know the Peano, field, order, and completeness axioms.  Be prepared to prove the theorems we have seen, and to use them to prove new results.  Also be prepared to demonstrate your understanding of definitions by applying them in given examples, or by producing examples with specificied properties.  We have not covered much in the way of procedural knowledge, but you should be able to find sups, infs, and limits as in some of the homework exercises. 

Some samples of the various kinds of problems that might appear on the exam are proved in this handout.