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In such cases I would encourage the students to proceed with their reading of the corresponding material on their own, and would be ready to provide consultation as needed The topics of course projects listed here are given only as examples Very often, students themselves try to come up with a topic that is closely related to their interests, their specialty, their thesis topic, or even another course that they are presently taking or have recently completed With most students being already quite experienced in science and engineering, this author has chosen to make it known that such connections would be welcome; he has given students much exibility in choosing their topics, as long as the project satis ed the expected level of effort and was closely related to the course s material.

As a result, projects may vary widely, and the defense of projects at the nal exam likely turns into an interesting mini-lectures series Not rarely, course projects would have continuations in the following years (a student may continue the project for another year, or change his/her PhD topic, or prepare a conference or journal paper, etc) Once the topic is chosen and worked on for a little while, changing the topic should be discouraged because this will not leave suf cient time for work One will note that the list of suggested projects below involves topics that, while related to the material taught in the course, go beyond the speci c material studied One such example is motion planning for multiple mobile robots The idea here is that the course has prepared the student to use the material they have already learned for more advanced work.

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Source: Social Security Administration, Historical Development, 3.

A topic like this would encourage the student to read literature and to apply creatively the ideas and techniques taught in the course to produce new knowledge The instructor may want to recommend appropriate literature in such cases..

Suggested course topics can be roughly divided into three categories: theory and algorithms; computer simulation; experimental (hardware) work. A project may fall into more than one category; for example, one may be assigned to develop an algorithm and validate it by theoretical analysis and a computer simulation. Examples of topics in each category are given below.

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1 Sensor-based motion planning for multiple mobile robots: Centralized motion planning: All or most commands to all robots come from one center Decentralized motion planning: Each robot makes its motion planning decisions on its own, without coordinating it with other robots Various options can be considered here, for example: A robot knows nothing about other robots decisions except by watching them move; or, robots may distribute their next step decisions to other robots; or, in a given pair of robots, one is required to report its planning decisions to the other but not vice versa A mathematically interesting problem is an interception problem: One robot tries to escape from a robot that attempts to intercept it; different assumptions about sensing means, speeds, and knowledge about the other robot abilities gives rise to different schemes Collective behavior of multiple robots.

Again, different behavioristic schemes addressing motion planning can be considered here, such as making and changing formations, covering a maximum area (the Mushroom Pickers problem), etc Motion planning for tethered robots Such problems appear in some industrial settings for example, a Robot World system where tethered robots are oating above an assembly table (a two-dimensional setting); or underwater robot probes connected by tethers to the mother ship (a three-dimensional setting) Options include the tether being able, or not being able, to sense surrounding objects or other robots and tethers One may want to consult related literature Computational geometry: ef cient (static or dynamic) division of work space between a few robots (such as when vacuum cleaning a supermarket oor); the rendezvous problem for two robots.

The U.S. social welfare structure has been shaped both by long-standing traditions and by changing economic and social conditions. In its early history, the United States was an expanding country with a vast frontier and a predominantly agricultural economy. Up to 1870, more than half of the country s adult workers were farmers. In the years that followed, however, industry developed rapidly and the economy tended to be increasingly characterized by industrialization, specialization, and urbanization. The result was a nation of employees who were dependent on a continuing flow of income to provide for themselves and their families. The first form of social insurance in the United States was workers compensation. Workers compensation made employers responsible for the costs of compensating workers and their families if the worker was killed or injured on the job. Later, the first retirement programs were developed in the late nineteenth century for government workers, including teachers, firefighters, and police officers. During the economic crisis of the Great Depression of the 1930s, the United States recognized the extreme poverty that many elderly citizens were living in, and created the Social Security system in 1935. Using current workers payroll taxes to finance the retirement of current retirees, over 70 years after the programs inception, the United States Social Security system is still providing income and reducing poverty for retirees.

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