Exams Homework

End-of-semester information

Office hours

Monday 13 December 2:00–4:00 p.m., my LGRT 1335G office.

You may pick up your graded Homework 9, or any previously uncollected exam or homework paper.

Homework 9 solutions

Complete solutions have been uploaded to the usual UDrive location.

There were some too-common errors made in Homework 9 solutions, especially some conceptual errors. Please see this list of common errors there.

Final Exam

  • Reminder that the Final Exam Tuesday (at 8:00 a.m.) is in our usual classroom, LGRT 219
  • I’ve posted a list of the additional Final Exam topics—the ones since Exam 2. Lists of topics from Exams 1 and 2 are there, too.

Final exam: Tues 14 Dec 8:00-10:00 a.m. LGRT 219

The Math 421 Final Exam is:

Tuesday, 14 December
8:00–10:00 a.m.
LGRT 219 (our usual classroom)

In case of a final exam conflict, you must provide me with written documentation from the Registrar’s Office no later than Tuesday, 1 December.

You have a final exam conflict only if there is another officially-scheduled final exam at the same time.

To see which in which course you are entitled to a final exam make-up, look at the last digit of the 5-digit class number of the other course and of Math 421. Our class number is 73992. You are entitled to a make-up for the exam in the course where that digit is higher. Thus if the other course has the last digit of the 5-digit class number 3 or higher, then you get a make-up for the final there. If the last digit of the other course’s class number is 2, the same as ours, then look at the next-to-last digit, etc.

Such documentation, signed by a representative of the Registrar, should include:

  • The course whose final exam conflicts and the 5-digit class number for that course
  • Contact information for the instructor of that conflicting course
  • A copy of your entire final exam schedule
  • Your contact information: UMass e-mail address and telephone number

Exam 2 solutions available

For complete solutions to Exam 2 (and indication of how credit was divided within questions), see the link “Get Exam 2 solutions” on the Exams page.


Exam 2 statistics

Here are statistics on Exam 2 scores. (The data excludes the score for one student who did none of the homework sets.)


Exam 2 in LGRT 219

Earlier there was an error on the Exams page as to the Exam 2 location. The exam will be in our regular classroom, LGRT 219.


Exam 2: Wed1 Dec

The second exam will be held in class Wednesday 1 December.

See the Exams page for a link to a a detailed listing of what’s covered.


Exam 1 solutions

See the Exams page to get Exam 1 solutions.


Exam 1 statistics

The score statistics for Exam 1 are as follows:

Descriptive statistics for Exam 1 scoresExam 1 score distribution

Histogram of Exam 1 scores


Exam 1: Fri 29 Oct in class LGRT 219

Exam 1 will be held during class

Friday 29 October
LGRT 219

This will be a “closed-book” exam: you may not use a calculator or computer (so you may not use Mathematica), and you may not consult any reference materials (books, notes, or other paper ).


  • Chapter 1—except section 1.1
  • Chapter 2— except subsection 2.4.1 (The Riemann surface…)
  • Section 10.2—except Theorem 10.3 and examples using it, and except subsection 10.2.1
  • Chapter 3—sections 3.1–3.2 only
Homework: Sets 1–5