The exam will primarily concentrate on the material covered in lectures 11 through 20 as supplemented by material in the textbook. I wrote "primarily concentrate" because asking questions about that material without having some inquiries about earlier ideas of the course is impossible. A discussion of the principal themes of the course so far is below, along with some specific references and corresponding problems.

The exam is scheduled for 80 minutes, from 5:00 to 6:20 PM on Wednesday, April 14, in our usual classroom.

The cover sheet for your exam will state:

Here are some previous exams and review material that I've given in this course, going backwards in time (most recent is first). The various instantiations of the course have varied in emphasis, and I will try to address the relevance of these references below.

• A My second exam in spring 2008
  This was given for a course using the same textbook and covering the almost the same material as the first exam here. Please note that this was a take home exam (!) and therefore the questions, while having generally appropriate subject matter, are different from what would be on a limited time in class exam. (I did other strange things that semester -- for example, the essay assignment, a non-routine challenge which most of the students in the class seemed to like. Grading it was interesting.)
  Here are answers to that exam.
• B My first exam in spring 2006
  This was given for a course using the same textbook and covering the almost the same material as the second exam here. Here are answers to that exam.
• C A set of old review problems generally suitable for this first exam
  but please note that problem 6 concerns material we have not yet covered, so that question would not be appropriate.
  Here are bald answers to these review problems (suitable for hints if you wish). Here is a more extended discussion of how to answer these questions.
• D My second exam in spring 2002
  Still the same textbook and covering the almost the same material as the second exam here but some (?) of problem 7 is not suitable for this exam. (Yes, those exams actually were given a week later in the semester.) Here are answers to that exam.

Old problems in relation to our syllabus
Here is a list of problems from this material "keyed" to major themes discussed so far in the course. This may be useful to you. Lectures are available here.

Themes	References	Specific problems
Sine, cosine, exponential (and examples from them); some elementary manipulations	All book sections; lecture #11 and later lectures.	A1,2,7 C9 D2
Power series, differentiation, integration, and sums	Section 2.2; lectures #12 and #13 and later lectures.	A2,3,7 B5,6 C4,9,13,14
Cauchy's Theorem, again and again; the Cauchy Integral Formula	Section 2.3; lectures #13 and #14.	A1 B2 C2 D6
Equivalent statements of analyticity	Section 2.4 and elswewhere; lectures #15 and #16.	B6 C7 D7
Cauchy estimates and consequences (coefficients of power series expansions)	Section 2.4; lectures #15 and #17.	A4,5 B4 C3,4 D5
Laurent series	Section 2.5; lectures #18 and #19.	A6 B6 C5,8 D4
Isolated singularities	Section 2.5; lectures #19 and #20.	A3 B3 C1,5,14 D4,7
Residues and real integrals	Section 2.6; lectures #13 and lecture #20.	A1,2 B1,7 C10,11,12 D1,3 D6

Maintained by greenfie@math.rutgers.edu and last modified 2/21/2010.