Professor of Mathematics

Concert Choir Conductor, Fall 2018

College Organist

Choral Union Accompanist

Concert Choir Accompanist

Personal Information:

I joined the faculty of the Department of Mathematics at Juniata College in August 1997. I received my Ph.D. in applied mathematics from Brown University in 1997, with a thesis in the field of nonlinear partial differential equations. Before that, I received my B.S. degrees in mathematics and physics from Carnegie Mellon University in 1991. I spent the Spring (Voorjaar) 2012 semester at the Mathematisch Instituut of Universiteit Leiden, Netherlands. Since 2013 I have taught summer short courses on differential equations at ISEN in Lille, France. I am Historian of the Allegheny Mountain Section of the Mathematical Association of America, and I have previously held several other offices in the Section. In 2018 I completed sixteen years as Chair of the Department of Mathematics. My wife, Cathy Stenson, is also a professor in the Department of Mathematics at Juniata, and she received her Ph.D. in mathematics from Cornell University. We have two sons, David and Daniel. I also have a sister Marie who is a professor. She is the Director of the School of Art at Kent State University.

I am the College Organist and the piano accompanist for the Juniata College Choral Union and Concert Choir. I am the conductor of the Concert Choir for the Fall 2018 semester.

Fall 2018 Courses:

- Mathematics 103, Quantitative Methods
- Mathematics 230, Calculus II -- Textbook Information -- Homework Problems
- Mathematics 303, Mathematical Modeling
- Music 181-188, Juniata College Concert Choir

Spring 2018 Courses:

- Mathematics 155, Heart of Mathematics
- Mathematics 230, Calculus II
- Mathematics 335, Differential Equations

Summer 2017 Short Courses:

- Systems of ODE and Applications, at ISEN, Lille, France
- Partial Differential Equations, at ISEN, Lille, France

Mathematical Association of America

- MAA home page
- MAA Centennial page, 1915-2015
- Allegheny Mountain Section home page
- History of the Allegheny Mountain Section, August 2014

Courses Taught:

Juniata College:

- Mathematics 100, Precalculus
- Mathematics 103, Quantitative Methods
- Mathematics 110, Linear Algebra (old version)
- Mathematics 120, Introduction to Probability and Statistics (old version)
- Mathematics 130, Calculus I
- Mathematics 155, The Heart of Mathematics
- Mathematics 160, Linear Algebra
- Mathematics 220, Introduction to Probability and Statistics
- Mathematics 230, Calculus II
- Mathematics 303, Mathematical Modeling
- Mathematics 335, Differential Equations
- Mathematics/Computer Science 340, Numerical Analysis
- Mathematics 399, Special Topics: Partial Differential Equations
- Mathematics 399, Special Topics: Calculus of Variations
- Mathematics 399, Special Topics: History of Mathematics -- Resources Page

Brown University:

- Applied Mathematics 34, Methods of Applied Mathematics II
- Mathematics 5/6, Analytic Geometry and Calculus

Universiteit Leiden:

- History of Mathematics (HM)

Institut Supérieure de l'Électronique et du Numérique (ISEN), Lille:

- Systems of ODE and Applications (short course)
- Partial Differential Equations (short course)

Research Interests:

My current research interests are in the history of mathematics, especially analysis and mathematical physics in the 17th and 18th centuries. In particular, I study the work of Christiaan Huygens, the 17th century Dutch mathematician/physicist/astronomer. Recently I have become interested in the 20th century Dutch mathematician/physicist/radio engineer Balthasar van der Pol. My previous formal research interests have been in nonlinear partial differential equations and dynamical systems. In particular, I studied continuum limits of particle systems, as in my doctoral thesis, "The Boussinesq Limit of the Fermi-Pasta-Ulam Equation", with my advisor Walter Craig.

Some Interesting Links:

- Mathematical Association of America
- American Mathematical Society
- Association for Women in Mathematics
- Google Translate

How to find me:

Office: Brumbaugh Academic Center C-108A, Dale Hall

Department of Mathematics

Juniata College

Huntingdon, PA 16652

Phone: (814) 641-3591

FAX: (814) 641-3687

E-mail: bukowski@juniata.edu

**Last revised: August 20, 2018**