As one of the pioneering programs in the world, the department has established rigorous yet flexible educational programs that are emulated by many other institutions and is a national leader in cutting-edge research in several important areas. The cornerstone of the program is quantitative engineering and analytic methods for biomedical applications, a feature that distinguishes Biomedical Engineering from other biomedical science programs.

The list is by no means exhaustive. If you a potential advisor in mind, that person may well have other ideas. Or you may even have your own idea for a project. We encourage this route as well, but please be aware that this will put some additional responsibility on you to identify sources.

For further information, see Bruce Peterson. The Four Color Theorem For many years, perhaps the most famous unsolved problem in mathematics asked whether every possible map on the surface of a sphere could be colored in such a way that any two adjacent countries were distinguishable using only four colors.

It is easy to produce maps requiring at least four colors, but the proof that four colors are always sufficient did not appear until Topics for a thesis would include the history of the problem, including the mistakes made in early "proofs", extension of the problem to more complicated surfaces what for instance happens if the maps are drawn on the surface of an inner tube?

The proof itself marks a milestone in mathematics in that it is readily understandable, but impossible to check because it involves computer verification of an enormous number of special cases.

That is, anyone can check any individual step, but no one can check them all. The thesis would not involve computer work.

For additional information, see Bruce Peterson. Additive Number Theory We know a good deal about the multiplicative properties of the integers -- for example, every integer has a unique prime decomposition.

For instance, in how many ways can we write an integer as the sum of two squares? How many ways can we write the number 1 as the sum of three cubes? This theorem has recently been proved by Andrew Wiles of Princeton University.

Mersenne Primes and Perfect Numbers Numbers like 6 and 28 were called perfect by Greek mathematicians and numerologists since they are equal to the sum of their proper divisors e. Since then about B.

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There still remain many open questions, for example, do there exist any odd perfect numbers? Research could include some interesting computer work if desired. Recent results indicate that any "reasonable" voting procedure must either be dictatorial or subject to strategic manipulation.

For further information, see Mike Olinick.Page 1 GRADUATE STUDENT THESIS/DISSERTATION DEFENSE EVALUATION The attached evaluation tool (rubric) is designed to assist in the evaluation .

THESIS and DISSERTATION GUIDE.

Requirements and Guidelines for the Preparation of Master’s Theses and Doctoral Dissertations. Office of Theses and Dissertations. Sample Thesis/Dissertation Approval (TDA) Form Master’s Students. Number of signatures required for. master’s students = student’s adviser (at least one signature in the.

Course Area: Not a general education course Designations: Formative Experiences, Upper Division Writing Competency Completion of an Honors in the Major Thesis will count for both Upper-Division Writing and Formative Experiences.

This process normally takes two to three semesters, during which you will register for six to nine hours of level thesis credit. This thesis studies supplier risk identification and evaluation in the case company context.

The case company is a rapidly growing new organization that does not have all its processes defined on a detailed level. Erasmus University Rotterdam offers incredible value: master programmes cost roughly €2, for European Union (EU) or European Economic Area (EEA) students, and start at €4, for students from other parts of the world.

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