Research Paper

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  • Research Topics

For this paper you will research the historical development of an important problem in the history of mathematics. The topic must be approved by the professor, by October 26th. The first draft will be due November 9th. Keep in mind that you will be giving a 20 minute presentation on this topic at the end of the semester during the final slot for the course. So, pick your topics carefully.

Students are expected to select a branch of mathematics, and describe how it has evolved over the course of history. Ideas can be found online, such as Rutgers, TAMU, or places like

  • Deadlines

    • Choose topic by Oct 26th

    • Draft paper - Nov 9th

    • Paper due Nov 30th  

  • Topic Proposal - Oct 26th

Please give to me a typed proposal for the topic you plan to cover. Not only a topic name, but a discussion of what you plan to do with the topic, resources you plan to use, etc. It is not sufficient to use Wikipedia or some  physics blogs. Go to the library, check out some of the above links and browse the library shelves around QA21-30. [See call-numbers for specific topics.]

  • Content

You will be expected to submit a sufficient amount of content and connection to the course in order to warrant a decent grade for this portion of the course. You need to demonstrate that you spent some time researching the mathematics, the history, and digesting your topic. It should not be a regurgitation of Wikipedia or other Internet sites. References should also include books and articles from journals. This work must be yours. See formatting below.

You should pick a topic in the history of mathematics that we have not covered in class. This is a learning experience for you and you want to bring what you have learned to the rest of the class (in your talk) by introducing new topics, mathematics, stories that you have learned. Why did you select the topic? Motivate it. Who were the main players? How did it fit into the larger history of mathematics? What was interesting about the people? Were there key theorems, methods, results? Your presentation will be based on this paper, so be prepared to present the mathematics at a level your peers would understand. Be prepared to use pictures, plot, derivations, etc.

  • Draft paper - Nov 9th  This should be more than half (at least 3000 words) of the proposed paper with an abstract, introduction to topic, some historical background, a main body with mathematics demonstrations and proofs, and references. It should include properly formatted figures and equations.

  • Final paper - Nov 30th The final paper should have equations formatted, numbered, and referenced properly. All figures should be numbered, have descriptive captions, and be referenced in the paper and not just inserted to produce volume. Attention should be give to any suggestions made in the corrections of the draft paper.

  • Report Format

As part of these requirements, there will be a term paper consisting of at least 4,000 words. (This is roughly 8 single-spaced pages, or 16 double-spaced pages, depending upon the layout and 12 pt font.) See more below.

All work should be typed with double-spacing and 12 pt font. (You can use LaTeX, but the page count might depend on the format you have chosen.) You will be expected to use correct English grammar and punctuation. This is a report and thus you will use proper sentence and paragraph formatting. Your work should also be supported with properly labeled and embedded plots and equations. References should include articles and books with little use of Wikipedia. Any references used should be cited in the body of the paper as well. This paper will count towards the project component of your grade.

Note, you will be graded on the how well you have followed directions as well as evidence of work, mathematics detail and understanding, proper exposition and neatness, and effort as noted by appropriate length and depth presented.

  • Presentation

Presentation Rubric

  • Organization.

    • Introduction, clear flow, conclusion. Make objectives clear. Adhere to time.

    • Well prepared slides, readable, consistent font size and type, on message.

    • Delivery of main points and logical transitions between topics.

  • Consideration of the audience.

    • Maintain eye contact, include everyone in the audience. Do not read to the audience.

    • Aim for audience understanding. What will they take away from your talk?

    • Respond appropriately to questions during the question and answer period.

  • Understanding of the mathematical content.

    • Communicate key ideas accurately.

    • Include appropriate examples to illustrate the content.

    • Demonstrate understanding of definitions, propositions, connection to history.

    • Use mathematics software appropriately to reproduce results or examples.

  • Deliver a clear and professional talk.

    • It is crucial that the audience understand the main points of the presentation.

    • Easily read from any place in the classroom;

    • Simple, uncluttered and designed to help communicate, review and relate main points.

    • Good grammar, word usage, standard notation, layout, and style.

  • References/Citations
     

 

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E-Mail: Dr. Russell Herman Last Updated: November 29, 2022