Test information, Math 428, Winter 2013

Final Exam on Monday, March 18, 2:30-4:20, in regular room

The exam will be comprehensive, but with more emphasis on conformal transformations and applications than on the earlier material. The general information listed at the bottom (allowed notes, bring your own paper, etc.) of this page still applies. If you use a multivalued function in any problem on the final exam, be sure to indicate clearly which branch you are using.

Office hours Sunday 1/17: 3:30-5 in my office. Hopefully the graded homework will be available at this time.

Study suggestions:

• Do any HW 7 problems you didn't do already.
• Review §§82-84. Each of these three sections involves integrands with different properties. The contour is different in §84, and the limiting process at the "indentation" is different in §82 and §83. Which properties of the integrand indicate the section's techniques to use? Then look at the integrals in problems 1-6, pp. 286-287, without reading the instructions about which contour to use: Which technique should you use for each problem? (The §84 contour can be used sometimes when the simpler contour from §83 will work, and more easily; can you tell when this is?) Be sure you can do problems of all three types.
• Review Midterm 1, problem 2, and any problems you had trouble with on Midterm 2. Links below to solutions for both tests.
• Look over the review problems for Midterm 2 (link below), and rework any you don't feel confident about.
• New on Sunday: No additional problems, just one comment. HW 7 has a couple of W problems, don't overlook those (in particular, the one on flows).

Second Midterm on Friday, March 1, in class

Score stats and some solutions for second midterm, and solution sketches.

The class was evenly split on the choice of dates, so we'll go with the later date (because it's possible to do the homework due in other classes on 3/1 early, but homework due 2/27 couldn't be postponed until after a test on that date). Topics: Material we've covered this quarter in Chapters 2, 3, 8, 9, and §§107-112 of Chapter 10. The emphasis will be on finding, analyzing, and using transformation, but there may be one problem asking explicitly for a justification or explanation of one or more properties of a transformation. There probably will be three or four problems. The general information listed below still applies.

REVISED Review problems - change has been made in problem 5 from original: In definition of D, -x < y (not x < y) and boundary conditions now are H = 1 on the y-axis portion of the boundary and H = 0 on the line y = -x.
Answers for review problems. Answers for homework problems K and M.

First Midterm on Wednesday, January 30, in class

Score stats and solutions for first midterm.

Topics and problem types. The test will have at least one computational problems simlar to homework problems (including W problems) from §§84, 87, and 89. There will also be a problem or two related to zeroes and isolated singularities of analytic functions and the big theorems: Identity Theorem, Reflection Principle, Argument Principle, and Roche's Theorem, so §§27-28, 75, 77, & 86-87. This could be a short proof (e.g. like part (b) of Problem A, given part (a)) or ask a question you should be able to answer easily, with a short explanation, based on the ideas in these sections. Reviewing homework problems - not just the steps, but think about the ideas - is probably the best way to study for these. You might want to read the mutliple versions of proofs in the Homework 1 solutions. Here are a couple of Homework 2 problem solutions. Nothing on chapter 8, but there might be an extra credit problem.

If you are at the classroom early on the test day, please help me spread out the desks so I can easily get to every student to answer questions without bumping into other people or their stuff.

General information, rules for notes, etc.

• Hopefully everyone will be healthy and on time for the test, but sometimes emergencies happen. Here is general advice for if you (will) miss a test: As soon as you know you will have missed (or will miss) an exam, email me. (If you don't have access to email, call: (206)543-9458, messages may be left at the Math Department office, (206)543-1150.) If you know ahead of time that you will miss an exam for a good reason, email a request to take it early, stating your reason. In case your instructor agrees to the request, suggest times you can take the exam before the rest of the class does.
• Notes. You may bring one notebook (8.5 by 11 inches) sized sheet of handwritten notes. The main reason for allowing notes is to encourage "top down" studying (organizing your thinking about the material, identifying common themes, etc.) and, conversely, discourage "bottom up" studying (merely memorizing formulas). Handwritten notes are required so that you have to think about the material to produce the notes, which is also a good study technique. It's OK to write on both sides of the paper, but it is in your interest to summarize thoughtfully, so you are not spending precious exam time reading through overly detailed notes.
• Bring paper. There will not be room on the exam paper for all of your work. Start a new page for each problem, or at least leave SEVERAL blank lines between problems, and put the pages in order before handing them in.
• A few more test-taking tips: Read instructions carefully, so you don't do more work than you have to. Don't simplify a complicated algebraic expression unless required to (or if it's easier because you need it for the next step). If you do change your answer, cross out rather than erasing. It's quicker, and sometimes your new reasoning is easier to follow if the grader can glance at what you tried first. (Raise your hand if you need more paper.)

Return to the Math 428 Homepage.
Most recently updated on March 17, 2013