|     Final Exam (Thurs., May 11, 7:30 AM     |     24%     |
|     First Segment Test (Tues., Feb. 14)     |     12%     |
|     Second Segment Test (Thurs., Mar. 16)     |     12%     |
|     Third Segment Test (Tues., Apr. 25)     |     12%     |
|     Three Projects (combined)     |     30%     |
|     Homework and participation     |     10%     |
|     HW#1: Use case exercises     |    
Imagine you want to create a text editor program.
Produce at least a half dozen use cases for it. For each use case, create a form and a diagram. Follow the style in your textbook when writing forms and when drawing diagrams. Include at least one example of each of the following:
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    Due: 1/24     |
|     HW #2: Analysis exercise     |     With a fairly clear and reasonable complex view of how you want your (imaginary) text editor to behave, do a reasonably complete job of anaylzing your requirements and describing them via UML diagrams, as discussed in Chapters 6, 7, 8 and 9 of your UML 2 book. This is mainly intended as a warm up exercise before Project One. I will carefully consider everything you submit and provide feedback that should help you to get ready for Project One. The more you submit, the better, as you will get more feedback without worrying about losing points (as on the project).     |     Due: 1/31     |
Title: Capillary surfaces and their behaviors in cylinders
Speaker: Dr. Kirk Lancaster, Professor of Mathematics, Wichita State University
Date and time: Wednesday, February 22, 3:30 pm Location: Howard Hall 308
Following the talk, Prof. Lancaster will be available to talk with students who are thinking about graduate school.
Abstract: Capillary surfaces are ubiquitous: a drop on your windshield, the sap in a tree, the fuel in a spaceship, fluid in a cylinder, etc.
Capillary phenomena occur as the result of an interaction of surface tension, exterior force fields (e.g. gravity) and the attraction of fluids
to surfaces (i.e. "wetting energies"). In a microgravity environment such as in free fall or at very small scales such as occurs in nanoscale
fabrication, the influence of gravity becomes largely insignificant and the interaction of surface tension and surface chemistry becomes
dominant in determining the shapes of stationary liquids.
Special types of capillary surfaces can be of great interest; some examples are hanging drops ("pendant drops"), drops on a surface ("sessile
drops"), liquid bridges, fluids in a vertical cylinder and fluids in a container. When the container is not smooth (e.g. has edges or
corners), determining the behavior or shape of a capillary surface in the container can be problematic. I will consider capillary surfaces in
a vertical cylinder whose cross-section has a corner P. In this case, the capillary surface will be a graph z=f(x,y) over the cross-section and
the function f may be discontinuous at P; this problem has been investigated by a variety of researchers. When the cross-section has a convex
(or protruding) corner at P, Paul Concus and Robert Finn made a conjecture approximately 14 years ago that under certain conditions, f must be
discontinuous at P. I will describe the behavior of capillary surfaces z=f(x,y) near P when f is discontinuous at P and give a very brief
outline of my recent proof of the Concus-Finn Conjecture. I will also discuss examples.