Differential equations master thesis topics

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Differential equations master thesis topics

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.

Math Thesis Archive: Differential Equations

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.

Current Bachelor (Honours) topics

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? Is every number the sum of two primes Goldbach's conjecture?

For related ideas, see Waring's Problem topic 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.

Department of Mathematics

Since then about B. 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.

Many "possibility" theorems have been proved for voting mechanisms which satisfy relaxed versions of Arrow's axioms. For further information, see Mike Olinick.

How does one fit this model to real data? How are the Lotka-Volterra models of competition and predation affected by the assumption that one species grows logistically in the absence of the other? A typical problem in this field would ask how to maximize the present value of discounted net economic revenue associated with the hunting and capture of whales.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?), and an explication of the final correct proof.

Stability of Nonlinear Functional Differential Equations by the Contraction Mapping Principle. Topics in Quantum Foundations: Ontological Models, and Distinguishability as a Resource: Department of Applied Mathematics University of Waterloo Waterloo, Ontario Canada N2L 3G1. A family of nonlinear differential differential equations and its Darboux transformation,O Constructing Nonlinear Travelling Wave Solutions of Some Nonlinear Evolution Equations,O Group (11) dimensional, (21) -dimensional soliton equations two .

A new analytical method of nonlinear evolution equations KS class of equations,O Exact Solutions and Symmetry Reducation to Nonlinear Partial Differential Equation,O Symbolic Computation on the Darboux Transformation and Soluiton Solutions for .

Postgraduate Research Topics in Applied Mathematics There are numerous postgraduate research topics to choose from. For postgraduate students interested in Applied Mathematics please read here.

Thesis on differential equations for students to help in essay.

differential equations master thesis topics

Use bullet on thesis differential equations points. Despite these efforts, national infant mortality rate of a .

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