Create a technical and/or historical piece of writing that is accessible to your
classmates.
The idea is that your peers and I would learn something new and/or have a new
perspective about a piece of mathematics or a mathematician (at least somewhat)
related to Calculus 2.
Requirements:
Excluding your Works Cited/Bibliography: Minimum of 1 page, maximum of 2 pages,
single-spaced or 1.5-spaced text addressing your topic. Margins cannot exceed 1
inch; maximum font size of 12 point font.
Use at least 1 parenthetical citation (for either a direct quote or your own
paraphrasing of a quote) to cite an academic source. (e.g., a book, a .edu website,
an academic paper, etc.)
o You must include a proper Works Cited/Bibliography at the end of your paper on
its own separate page.
o Using just 1 source is fine!!
Include at least one non-textual element, such as a graph/chart, picture, or equation.
o The non-textual element may not take up more than 1/4 to 1/3 of a page!
o Don't forget to cite this as well!
Use a technical, scientific writing style. (i.e., Do not use "I" or "me"; Do not make
sweeping claims that you don't justify carefully; Do not share your own opinions)
Choose a topic with specificity. (e.g., Bad topic: "The Importance of Math in the
World"; Good topic: "Isaac Newton's Contributions to Optics")
o Choose one of the suggested topics
The paper must be completely original (besides of course any quotes you use.)
Suggested Topics:
Torricelli's Trumpet (also called Gabriel's Horn) and its reception in the 1600s
Evangelista Torricelli's contributions to physics and/or math
Isaac Newton's contributions to physics/math/optics
Isaac Newton and the invention of Calculus
Gottfried Leibniz and the invention of Calculus (focus on Leibniz notation!)
Augustin-Louis Cauchy's contributions to math (many think there's no other
mathematician that made a mark in so many fields!)
What is a differential equation?
Find an application of numerical integration (perhaps find an integral in some
application that cannot be solved on paper and solve it using numerics!)
The history of Monte Carlo methods (really cool; surprisingly connects to the US
development of the nuclear weapon)
John von Neumann's contributions to math (Neumann is probably my favorite
mathematician!)
Andrew Wiles and the proof of Fermat's Last Theorem (this is some awesome
modern mathematics; Wiles is a living, working mathematician!!)
The life and legacy of Maryam Mirzakhani (a sad but amazing story about one of the
most influential female mathematicians of our time — Dr. Mirzakhani is still
the only female recipient of the Fields Medal, which is the equivalent of the Nobel
prize but for math!)
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