Professor and Chair

Department of Mathematics

College Organist

Choral Union Accompanist

Concert Choir Accompanist

Juniata College

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. 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 in 2000. We have two sons, David (age 16) and Daniel (age 14). I also have a sister Marie who is a professor. She is the Director of the School of Art and Design at Southern Illinois University Carbondale.

I am the College Organist and the piano accompanist for the Juniata College Choral Union and Concert Choir.

Fall 2016 Courses:

- Mathematics 103, Quantitative Methods -- Course Webpage
- Mathematics 303, Mathematical Modeling -- Course Webpage

Summer 2016 Short Courses:

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

Spring 2016 Courses:

- Mathematics 130, Calculus I
- Mathematics 230, Calculus II
- Mathematics 335, Differential Equations

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)

Pedagogical Interests:

Since joining the faculty at Juniata, I have become interested in using technology (especially Maple) in the mathematics classroom - for class demonstrations and for homework assignments. I am especially interested in applications to courses in calculus, precalculus, linear algebra, and differential equations. I also enjoy bringing original historical sources into the mathematics classroom. I was selected to be a 1998-99 Fellow of Project NExT, where I took part in discussions and workshops on the teaching and learning of undergraduate mathematics. I have participated in the local version of Project NExT, called Section NExT, here in the Allegheny Mountain Section of the Mathematical Association of America, and I am a former co-coordinator of this program.

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. 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 18, 2016**