Undergraduate: Placement

MAT 490 Senior Seminar in Mathematics

Reading, formally writing, giving oral presentations on topics in mathematics, including current mathematics literature.

Pr. Senior standing and mathematics major, or permission of instructor

This course is for senior math majors and carries the College Writing (CW) marker. It follows a seminar format, consisting mainly of oral presentations by the students. The primary goal of presenting is not to demonstrate that you understand the material but rather to help the other students to understand the material. Students submit the write-ups of their presentations.

Course Documents (pdf)

Article List

Squeeze Theorem

Most of these articles are stored on JSTOR. You can access them automatically while on the UNCG network. If you want to access them from home, click the link for the article. Then click the Login link in the corner and “Login via an institution”.

- A Classroom Proof of $lim_{t \to 0} (\sin t) / t = 1$ , by Stephen Hoffman. The American Mathematical Monthly, Vol. 67, No. 7 (Aug. – Sep., 1960), pp. 671-672.
- Problems, Mathematics Magazine, Vol. 87, No. 2 (April 2014), pp. 151-158. Suuggested: Q1040/A1040 as application of the Squeeze Theorem.
- Problems and Solutions, The American Mathematical Monthly, Vol. 120, No. 2 (February 2013), pp. 174-181. Suggested: Where Are the Zeros?
- A Function with a Finite Discontinuity, by J. A. Ward. The American Mathematical Monthly, Vol. 54, No. 3 (Mar., 1947), p. 162.
- Taylor’s Theorem and Newton’s Method, by F. D. Parker. The American Mathematical Monthly, Vol. 66, No. 1 (Jan., 1959), p. 51.
- A Proof of Taylor’s Formula, by James Wolfe. The American Mathematical Monthly, Vol. 60, No. 6 (Jun. – Jul., 1953), p. 415.
- Derivatives of Implicit Functions, by M. R. Spiegel. The American Mathematical Monthly, Vol. 61, No. 2 (Feb., 1954), pp. 120-121.
- A Remark on Integration by Parts, by J. L. Borman. The American Mathematical Monthly, Vol. 51, No. 1 (Jan., 1944), pp. 32-33.
- On the $lim_{θ \to 0} \cos θ$ , by M. J. Pascual. The American Mathematical Monthly, Vol. 62, No. 4 (Apr., 1955), pp. 252-253.
- A Property of the Logarithm, by D. S. Greenstein. The American Mathematical Monthly, Vol. 72, No. 7 (Aug. – Sep., 1965), p. 767.
- A Note on $δ$ and $ϵ$ , by Atherton H. Sprague. The American Mathematical Monthly, Vol. 67, No. 8 (Oct., 1960), p. 780.
- Arc Length, Area, and the Arcsine Function, by Andrew M. Rockett. Mathematics Magazine, Vol. 56, No. 2 (Mar., 1983), pp. 104-110.

A Dozen Questions about the Powers of Two, by James Tanton. Math Horizons, vol. 8, Sept. 2001, pp. 5-10.
Linear Algebra, a Potent Tool, by Anneli Lax. The College Mathematics Journal: Volume 7, Number 2, 1976, pp. 3-15.
Why Ellipses Are Not Elliptic Curves, by Adrian Rice and Ezra Brown. Mathematics Magazine, vol. 85, 2012, pp. 163-176.
Integrals Don’t Have Anything to Do with Discrete Math, Do They?, by P. Mark Kayll. Mathematics Magazine, vol. 84, 2011, pp. 108-119.
From Intermediate Value Theorem to Chaos, by Xun-cheng Huang. Mathematics Magazine, Vol. 65(1992), pp. 91-103.
The Square Root of Two = 1.41421 35623 73095 …, by Martin Gardner. Math Horizons, April 1997, pp. 5-8.
A New Proof of Euclid’s Theorem, by Filip Saidak. The American Mathematical Monthly, Vol. 113, No. 10 (Dec., 2006), pp. 937-938.
Another Way to Sum a Series: Generating Functions, Euler, and the Dilog Function, by Dan Kalman and Mark McKinzie. The American Mathematical Monthly, Vol. 119, 2012, pp. 42-51.
MAA Writing Award winning articles is a nice collection of expositional articles. Contact your instructor for approval first.

Additional Resources

- UNCG Speaking Center Tips: Helpful tip sheets that may answer some of your communication questions.

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MAA Mathematical Communication: A developing collection of resources for engaging students in writing and speaking about mathematics, whether for the purpose of learning mathematics or of learning to communicate as mathematicians.