Without a thesis, your argument falls flat and your information is unfocused. That type of thesis is a long, well-written paper that takes years to piece together. This sentence can tell a reader whether your essay is something they want to read.
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? 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.
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.
EDD Educational Research Seminar Overcoming Adversity Sample Thesis Titles and Papers Titles of some of the previous theses created in my section of Educational Research are listed on this page. A well-written thesis proposal will definitely impress the supervisor and put you on the path to a first-rate thesis. However, the thought of writing it can be overwhelming because of a large amount of research. There is no gainsaying that choosing good thesis topics contribute to the entire outcome of the thesis. We will never deny the fact that some topics are better than others and because of this, there is a need to choose the good ones against the bad ones when you want to write your thesis.
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.
How does an optimal strategy vary with the number of competing whaling fleets? Brouwer proved that every continuous function from a n-cell to itself has at least one fixed point; that is, if f: There has also been much progress on the problem of computationally determining fixed points.
Joel Franklin, Methods of Mathematical Economics. Here N is the number of tumor cells at time t, K is the largest tumor size and b is a positive constant. A thesis in this area would begin with an investigation of the mathematical properties of this model and the statistical tests for deciding when it is a good one.
The thesis would then move to a consideration of stochastic models of the tumor growth process. Mathematical Models of Conventional Warfare Most defense spending and planning is determined by assessments of the conventional ie.
The dynamic nature of warfare has historically been modelled by a particular simple linked system of differential equations first studied by F.
Lanchester Models of Warfare. The Fundamental Theorem of Algebra The Fundamental Theorem of Algebra states that every non-constant polynomial with complex coefficients has a complex root.
Gauss was the first person to give a proof of this result; in fact, he discovered four different proofs. All known proofs require some complex analysis. However, the theorem is one of algebra and a purely algebraic proof would be nice to find.
Emil Artin has given one that's almost purely algebraic. Any text in complex analysis.Sample Statement of Purpose Statement of Purpose: Please describe your aptitude and motivation for graduate study in your area of specialization, in the thesis, such as my claim that the cultural eroticization of feminine appetite in early modern.
A master’s thesis is a formal investigation into a research question that involves original data and primary sources, thus resulting in a scholarly manuscript suitable for binding and possible publication. Biology thesis writing. If you are writing your biology thesis and you find yourself having a difficult time completing it, do not be frustrated.
Thesis writing brings out the best and worst in students and you are not the only one feeling disappointed. Guidelines for Writing a Thesis or Dissertation, Linda Childers Hon, Ph.D.
Outline for Empirical Master’s Theses, Kurt Kent, Ph.D. How to Actually Complete A Thesis: Segmenting, Scheduling, and --description of population and description of and justification for type of sample used or method for.
A List Of The Best Thesis Topics For Business Management Students So, when you are looking for a good business management thesis topic, look over all of your previous coursework. This includes all of your business management or even business related classes. DRAFT Sample Proposal Form Master’s Thesis - Turner Submit a proposal of this general form with these sections to Dr.
Turner for approval before CSC registration. Expect to perform CSC for development of this proposal in the preceding term. 1. Type of Master’s Work Proposed.