TITLE OF THE PROJECT - Mathematical Sciences



TITLE OF THE PROJECT

Your full name

Your Affiliation (Department)

George Mason University

Project Mentor

Faculty Mentor/Mentors Name(s)

ABSTRACT

Write a self-contained single-spaced short abstract that is clear, descriptive and no longer than 250 words. It should usually contain the objectives, methods, results, and conclusions of your work.

This paper is submitted in partial fulfillment of the graduate class

Math 795-001, “Graduate Mathematics Seminar,” Fall 2008

(Instructor: Dr. Padmanabhan Seshaiyer)

The body of the report must be prepared according to the following guidelines.

1. Print page numbers in the manuscript. Do not print page number for the title page.

2. Tables and Figures must be properly captioned and numbered. These should be placed as close as practicable to their first reference in the text.

3. Acknowledgements, if any, must be added before references.

4. The paper is limited to 10 pages excluding the title page. Pages should be printed only on one side of 8.5” x 11” paper and the text will be double spaced.

5. Use a font no smaller than 10 point and the margins must be at least 1” wide.

6. For consistency, each report must include the following sections in order:

a. “Introduction”

b. “Background and Research Methods”

c. “Results and Discussion”

d. “Conclusion and Future Work”.

Each section maybe further subdivided into sub-sections and contents must be

prepared after discussing with the faculty mentor(s).

7. Use boldface for introducing a theorem, lemma or proposition.

8. References must be cited properly in the text of the article. The following style may be used for a paper in a journal [5], a book [3], an article in a collection that is not part of a series [1], an article in a book that is part of a series [2], a preprint [4], and a thesis [6].

[1] M. F. Atiyah and F. Hirzebruch, Spin-manifolds and group actions, Essays on topology and related topics, Memoires dedies a George de Rham (eds A. Haefliger and R.

Narasimhan, Springer, New York, 1970), pp. 18--28.

[2] B. J. Birch and H. P. F. Swinnerton-Dyer, Elliptic curves and modular functions, Modular functions of one variable IV (eds B. J. Birch and W. Kuyk), Lecture Notes in Mathematics 476 (Springer, Berlin, 1972), pp. 2--32.

[3] O. Bratteli and D. W. Robinson, Operator algebras and quantum statistical mechanics I (Springer, Berlin, 1979).

[4] S. J. Edixhoven, On a result of Imin Chen, preprint, Universite de Rennes I, 1996; Duke algebraic geometry preprint server, /archive/alg-geom/.

[5] J. C. Jantzen and G. M. Seitz, On the representation theory of the symmetric groups, Proc. London Math. Soc. 65 (1992) 475--504.

[6] B. S. Spahn, Measurable selection problems in general Borel structures, doctoral thesis, Warsaw University, 1981.

A mathematical writing checklist

Is your paper neatly typed?

Make sure all the equations are neatly typed. Also make sure that you have included all of the diagrams and graphs you intended to. Make sure that the paper is double-spaced and has wide enough margins.

Has the paper been proofread?

In college, sloppy work is not appreciated. Do check over everything. Ask your faculty mentor or graduate mentor or your friend to read it.

Is there an introduction?

Make sure that you explain the problem to the reader. Assume that the reader is unfamiliar with the problem. The introduction should also try to indicate to the reader why the problem is interesting and give some indication of what will follow in the paper.

Did you state all of your assumptions?

Write down any physical assumptions as well as any mathematical assumptions that you made.

Are the grammar, spelling, and punctuation correct? Is the writing clear and easy to understand?

Make sure that there are no sentence fragments. The formulas and equations too need to be contained in complete sentences. Equations and formulas (and the words too) should have correct punctuation as well. Make sure that your paper flows smoothly and reads well. And please, don't be careless! Check your spelling!

Are all of the variables defined and described adequately?

Make sure that you introduce each variable that you use. Describe each variable as precisely as possible. Don't forget any units!

Are the mathematical symbols used correctly?

Make sure that the symbols are not misused. Use equations and formulas where they are appropriate.

Are the words used correctly and precisely?

Avoid using vague language and too many pronouns. Use words where they are appropriate.

Are the diagrams, tables, graphs, and any other pictures you include clearly labeled?

Graphs should be drawn with a straight edge (or computer-generated) with axes clearly labeled (with units if appropriate) and the scale indicated. Diagrams should be neatly drawn with relevant labels.

Is the mathematics correct?

This should be obvious.

Did you solve the problem?

Sometimes in all of the fuss, people forget to answer the problem. Do answer the question!

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