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class+April5 - Math 103 Section 11 Tuesday April 5 2011...

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Math 103, Section 11, Tuesday, April 5, 2011 Homework to be discussed in class on Tuesday, April 5 , Chapter 5, Page 191, Problems 1,2 5, and 11 Homework for Chapter 5 is due when we finish Chapter 5. Problems 20,26,30,34,38,42 and 46 will be collected and graded. Homework for Friday, April 8. Page 192 Exercises 9, 10, 18, 19, 21.
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Unicursal tracing- trace each drawing without lifting the pencil or retracing any of the lines. Courtesy of damianspain of the San Francisco Bay area. Most students find the standard applications of Euler circuits and paths (routing garbage pick-up, mail deliveries, security guard patrols, parades, etc.) not too interesting or compelling. But here is a new application that I think is very modern and cool: Google Street View. In order to map an entire city at the street view level, Google carves out the metropolitan area into sections. For each section, a car with a special -degree camera mounted on the roof is assigned to travel along the streets of that section. The goal is to sweep through the section covering every block. When a block has to be covered more than once, the camera is turned off to eliminate the need to edit out duplications. Obviously you want to design the routes with the minimum number of duplications. This is clearly a “eulerization” problem.
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Peter Tannenbaum, California State University Fresno
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