Bio
Beth Schaubroeck is a professor of mathematical sciences at the U.S. Air Force Academy, where she has worked as faculty development director for her department, co-coordinator for the mathematics major, and advisor for academic strategy. Although her academic training is in geometric function theory, she has published in a wide range of areas, including polynomial roots, the mathematics of weather, and a coloring book of complex function representations. She enjoys teaching a variety of courses, from freshmen calculus to (of course) complex analysis.
Education
PhD, Mathematics, University of North Carolina-Chapel Hill
Bachelor of Arts, Mathematics and Mathematics Education, Wartburg College
Honors & Awards
Carl B. Allendoerfer Award (with Julia Barnes, Clinton Curry, and Elizabeth Russell) for the article “Emerging Julia Sets” that appeared in the April 2015 issue of Mathematics Magazine.
George Polya Award (with Michael Brilleslyper) for the article “Locating Unimodular Roots” that appeared in the May 2014 issue of The College Mathematics Journal.
Research and Scholarly Interests
Complex Variables, in particular with interests in complex dynamics and roots of polynomials
Scholarship of teaching and learning, with an emphasis on the first two years of the undergraduate experience
Publications
Coloring Book of Complex Function Representations, with Julia Barnes and William Kreahling, MAA, 2017.
Any Way You Slice It, It Comes Up Julia Sets, with Julia Barnes, to appear in Mathematics Magazine, Aug 2018.
Counting Interior Roots of Trinomials, with Michael Brilleslyper, to appear in Mathematics Magazine, April 2018.
Explorations of the Gauss-Lucas Theorem, with Michael A. Brilleslyper, PRIMUS, Vol 27 (8-9), p. 766-777.
Emerging Julia Sets, with Julia A. Barnes (Western Carolina University), Clinton P. Curry (Huntingdon College), Elizabeth D. Russell (Western New England University), Mathematics Magazine, Vol 88, No 2 (April 2015), p. 91-102.
Locating Unimodular Roots, with Mike Brilleslyper, College Mathematics Journal, Vol 45, No. 3 (May 2014), p. 162-168.
Fly with the Wind, with Julie Barnes (Western Carolina University) and Tom Koehler (DFEG, USAFA), Math Horizons, April 2014, p. 10-13.
Explorations in Complex Analysis, with Michael Brilleslyper, Michael Dorff, Jane McDougall, James Rolf, Richard Stankewitz, and Kenneth Stephenson. Mathematical Association of America, Washington, DC, 2012.
Developing a Mathematics Capstone Experience at the U.S. Air Force Academy, with Trae Holcomb, Kurt Herzinger, and Dale Peterson, PRIMUS, Vol 23 No. 4 (2013), p.403-411.
What’s the Point? The Benefits of Grading without Points, with Mike Brilleslyper, Michelle Ghrist, Trae Holcomb, Bradley Warner, and Scott Williams, PRIMUS, Vol 22 No. 5 (2012), p. 411-427.
Real and Imaginary Parts of Polynomial Iterates, with Julia Barnes (Western Carolina University) and Clinton Curry (Stony Brook University), New York Journal of Mathematics. Vol 16 (2010), p. 749-761.
Indy Racing: Track Facts and Tire Performance, with Nicholas Sawruk (USAFA/Lockheed Martin), The UMAP Journal of Undergraduate Mathematics and Its Applications. Volume 31, Number 1 (Spring 2010), p. 47-56.
Interactive Complex Analysis: Supplementing the Traditional Course with Computer Visualization, with James Rolf, The Electronic Journal of Mathematics and Technology. Volume 3, Number 2 (June 2009).
Minimal Surfaces over Stars, with Jane McDougall (Colorado College), Journal of Mathematical Analysis and Applications, Volume 340 (2008), p. 721-738.
Harmonic Mappings onto Stars, with Peter Duren (University of Michigan) and Jane McDougall (Colorado College), Journal of Mathematical Analysis and Applications, Volume 307 (2005), p. 312-320.
Relation Rummy, with Kurt Herzinger
PRIMUS (Problems, Resources, and Issues in Mathematics Undergraduate Studies), 12 (2002), p. 315-320.
Growth, Distortion and Coefficient Bounds for Plane Harmonic Mappings Convex in One Direction
Rocky Mountain Journal of Mathematics, 31 (2001), p. 625-639.
Subordination of Planar Harmonic Functions
Complex Variables. Theory and Application, 41 (2000), p. 163-178.