AHMED GHATASHEH

EDUCATION…………………………………………………………………………………………………..

• 2013 2018 D. in Applied Mathematics (Minor in Biostatistics). The University of Alabama at Birmingham. Ph.D. Dissertation Comparison and Spectral Theory for Ordinary Differential Equations with Distributional Coefficients’’.
• 2011 2013 S. in Mathematics. The University of Alabama.
• 2001 2005 Sc. in Mathematics. The University of Jordan. M.Sc. Thesis The Prime Ideals of Incidence Algebras’’.

• 1997 2001 S. in Mathematics. Hashemite University.

EMPLOYMENT……………………………………………………………………………………………….

• 2023 Present Assistant Professor of Mathematics at Philadelphia University.

Teaching Real Analysis and Linear Algebra 2.

• 20232023 Part Time, Philadelphia University

Courses Taught: Calculus I, Linear Algebra 1, and Linear Algebra 2.

• 2022 2023 Part Time, Jordan University and Princess Princess Sumaya University for Technology.

Courses Taught: Calculus I, Calculus II, and Linear Algebra.

• 2020 2021 Visiting Assistant Professor of Mathematics at Florida AM University.

Courses Taught: Intro Prob and Stat, Calculus for Business, College Algebra, Trigonometry, Precalculus (Remote classes)

• 2018 2020 Senior Lecturer at The Ohio State University.

Courses Taught: Precollege Math I II, College Algebra, Calculus for Business.

• 2013 2018 GTA at The University of Alabama at Birmingham.

Courses Taught: Calculus I, Calculus II, Pre-Calculus AlgebraTrigonometry.

• 2011 2013 GTA at The University of Alabama.

Courses Taught: Calculus I, II (solving problems)

Tutoring at the math learning lab.

• 2008 2010 Emirates College of Technology, United Arab Emirates (Full Time)

Courses Taught: Business Mathematics I and II, College Mathematics, Business Statistics.

• 2005 2008 Al-Quds College (Full Time) and University of Jordan (Part Time)

Courses Taught: Calculus I, Calculus II, Calculus III and Physics I

RESEARCH INTERESTS……………………………………………………………………………………

• General Research Interests: Ordinary Differential Equations, Measure and Integration theory, Operator Theory. Linear Algebra.
• Particular Research Interests: Systems of Ordinary Differential Equations and Sturm-Liouville equations with measure coefficients and their Oscillation properties at endpoints, Spectral Theory of Differential Operators. Mean Value Theorems, L’Hospital’s rule, and Taylor’s theorem for certain classes of discontinuous functions.

CURRENT RESEARCH PROJECTS……………………………………………………………………..

Currently, I am working on the following projects:

• Generalizing some important calculus theorems such as Roll’s theorem, Taylor’s theorem and L’Hospital’s rule to certain classes of discontinuous functions.
• Studying properties of a class of exponentials associated to Lebesgue-Stieltjes Measures .
• Investigating oscillation theory for Sturm-Liouville equations with measure-valued coefficients.

Publications………………………………………………………………………………………………..

In Progress

1. (With Rudi Weikard and Steven Redolfi) Real Analysis: Concepts, Examples, and Applications”, A textbook that will cover measure and integration theory and some related topics, Sponsored by Elsevier Publishing Company, Expected publication date is June, 2025.
2. L’Hospital’s Rule for Regulated Functions’’, an initial version is available on

https://arxiv.org/abs/2305.17572 (To be updated very soon)

Published

1. (With Rudi Weikard) Sign-Changing Points of Solutions of Homogeneous Sturm-Liouville Equations with Measure-Valued Coefficients”, Published by Applicable Analysis, vol. 101, no. 5, 2022, pp. 1556-1570.

https://www.tandfonline.com/doi/abs/10.1080/00036811.2021.1932835

2. (With Rudi Weikard) Spectral Theory for Systems of Ordinary Differential Equations with Distributional Coefficients”, Published by the Journal of Differential Equations, vol. 268, no. 6, 2020, pp. 27522801.

https://www.sciencedirect.com/science/article/abs/pii/S0022039619304437

3. (With Rudi Weikard) On Leighton’s Comparison Theorem”, Published by the Journal of Differential Equations, vol. 262, no. 12, 2017, pp. 59785989.

https://www.sciencedirect.com/science/article/pii/S0022039617300876

ACADEMIC HONORS AND SCHOLARSHIPS……………………………………………………..

• Outstanding PhD student, Mathematics Department, University of Alabama at Birmingham, February 2018.
• James R. Ward Jr. Memorial Endowed Award for excellence in graduate studies in the area of Differential Equations, August 2017.
• Graduate Teaching Assistant, Department of Mathematics, University of Alabama at Birmingham, 2013-2018.
• Graduate Teaching Assistant, Department of Mathematics, University of Alabama, 2011-2013.

CONFERENCES/TALKS……………………………………………………………………………………

• L’Hospital’s Rule for Functions with One-Sided Limits’’. (Contributed talk), Philadelphia University, May 28, 2023.
• Sign-Changing Points of Solutions of Sturm-Liouville Equations with Measure-Valued Coefficients”. (Invited talk), AMS Fall Southeastern Sectional Meeting (formerly at University of Tennessee at Chattanooga), October 10-11, 2020.
• Sign-Changing Points of Solutions of Homogeneous Sturm-Liouville Equations with Measure-Valued Coefficients”. (Contributed talk), Analysis and Operator Theory Seminar, The Ohio State University, November 19, 2019.
• Generalized Sturm-Picone Comparison Theorem”. (Invited talk), Joint Mathematics Meetings, January 2017.
• A Generalization of Sturm-Picone Comparison Theorem”. (Contributed talk), Twenty-Ninth Annual University of Alabama System Applied Mathematics Meeting, November 2016.
• Periodic Sturm-Liouville Differential Equations with Distributional Potentials”. (Invited talk) AMS Sectional Meeting, March 2016.
• Periodic Sturm-Liouville Differential Equations with Distributional Potentials II”. (Contributed talk), Mathematics Department, University of Alabama at Birmingham, March 2016.
• Periodic Sturm-Liouville Differential Equations with Distributional Potentials I”. (Contributed talk), Mathematics Department, University of Alabama at Birmingham, February 2016.