Dr. Richard Mikula

Education

• Ph.D. in Mathematics from Rutgers University with area of specialty being analysis

Courses Developed

• All Coursework in PSM degree Program as offered by Mathematics Department
• Math412

Programs Developed

• Professional Science Master’s degree program in Actuarial Science

Professional Publications

Prescribing Gauss-Kronecker Curvature on Group Invariant Convex Hypersurfaces, Journal Differential and Integral Equations Volume 19, Number 10 (2006), 1103–1128

The Foundations of Real Analysis (a textbook), Universal Publishers, Inc./ Brown  Walker  Press.  Boca Raton, FL. (2015).  ISBN: 978-1-62734-565-1.

Professional Presentations

Arc Length and Area for Connected Bounded Convex Bodies in the Plane, PASSHEMA Conference, Kutztown University (Kutztown PA), April 10-11, 2015.

The Solvability of Polynomial Equations by Radicals as Discussed in Modern Algebra Course, PASSHEMA Conference, Lock Haven University (Lock Haven, PA), April 11-12, 2014.

Geometry, Geography, Astronomy and the Ancient Greeks, LHU HS Math Competition Faculty Talk, November 7, 2013.

A Rigorous Treatment and Development of Trigonometric Functions in Real Analysis, PASSHEMA Conference, Clarion University (Clarion, PA), April 19-20, 2013.

Early Transcendental Functions in an Introductory Real Analysis Course, PASSHEMA Conference, Shippensburg University (Shippensburg, PA), April 20-21, 2012.

Problems of Prescribing Curvature in Riemannian Geometry, PASSHEMA Conference, California University of Pennsylvania (California, PA), April 1-2, 2011.

Prescribing Gauss-Kronecker Curvature on Group Invariant Convex Hypersurfaces, Special Session on Applied Partial Differential Equations of the 2009 Fall Southeastern Sectional Meeting of  the AMS,  Florida Atlantic University (Boca Raton, FL), October 30 – November 1, 2009.

An Introduction to Curvature in Differential Geometry with Some Discussion on Problems of   Prescribing Curvature, PASSHEMA Conference, Mansfield University (Mansfield, PA), March 20- 21, 2009.

Prescribing Gauss-Kronecker Curvature on Group Invariant Convex Hypersurfaces, Lock Haven University,  Department of Mathematics Departmental Seminar, October 15, 2007.

Prescribing Gauss-Kronecker Curvature on Group Invariant Convex Hypersurfaces, Acadia University (Wolfville, Nova Scotia), Department of Mathematics and Statistics Departmental Colloquium,   January 12, 2007.

Prescribing Gauss-Kronecker Curvature on Group Invariant Convex Hypersurfaces, Special Session, in Nonlinear Geometric PDE’s of the 2006 Fall Eastern Sectional Meeting of the AMS, University of Connecticut (Storrs CT),  October  28-29, 2006.