# Stephen C Featherstonhaugh

Assistant Professor

Deputy Chairperson

Mathematics

EMAIL: sfeatherstonhaugh@bmcc.cuny.edu

Office: N-599U

Office Hours: M 7-8 AM,W 7-8, 10-11 AM

Phone: +1 (212) 220-1241

Stephen Featherstonhaugh was born and raised in Vermont. He studied Physics for his Bachelor of Science degree at Norwich University. He worked briefly for the Learning Center at Vermont Technical College before getting a Masters of Science in Mathematics at UVM and a Doctorate in Mathematics at The University At Albany. He began working at BMCC in 2003.

Doctor Featherstonhaugh is concentrating on Calculus and Developmental Algebra. His goals are to improve the Calculus Lab experience for students and improve passing rates in Developmental Algebra. Doctor Featherstonhaughâ€™s research interest is in Galois Module Theory and Number Theory.

While at home, Doctor Featherstonhaugh enjoys raising his two children and photography.

## Expertise

Number Theory , Linear Algebra , Developmental Mathematics Education, Abstract Algebra

## Degrees

- B.S. Norwich University, Physics,1990
- M.S. University of Vermont, Mathematics,1995
- Ph.D. University at Albany, State University of New York., Mathematics,2003

## Courses Taught

- This course is the first algebra course offered at the College. It includes such topics as algebraic representation, signed numbers, operations with polynomials, factoring, the solution of linear equations, the coordinate system, the solution of simultaneous linear equations of two variables, and graphing. This course is designed to prepare students for the CUNY Freshman Skills Assessment Test required for transfer to the upper division of CUNY, as well as for more advanced math courses. If a student passes MAT 12, the student should not register for MAT 51, since MAT 12 combines MAT 8 and MAT 51.

Students who passed MAT 12, MAT 14, MAT 41, MAT 51, MAT 56, MAT 160, MAT 161, MAT 56.5, MAT 150.5 cannot take MAT 161.5.

Course Syllabus - This course is the second algebra course offered at the college. It is open to students who have completed elementary algebra or its equivalent. It includes such topics as: factoring, solutions of linear and quadratic equations, trigonometric relationships, exponents, logarithms, and the graphs of quadratic equations.

Students who passed MAT 12, MAT 14, MAT 41, MAT 51, MAT 56, MAT 160, MAT 161, MAT 56.5, MAT 150.5 cannot take MAT 161.5.

Course Syllabus - This course covers computations and measurements essential in the health science professional fields. Topics include: units and measurements, ratios, solutions and dosages.

Prerequisites: MAT 12, MAT 14, MAT 41, MAT 51 or MAT 161.5

Course Syllabus - This course includes the study of several mathematical systems. The role of mathematics in modern culture, the role of postulational thinking in all mathematics, and the scientific method are discussed, The course considers topics such as the nature of axiom truth and validity; the concept of number; the concept of sets; scales of notation, and groups and fields.

Prerequisites: MAT12, MAT 14, MAT 41, MAT 51 or MAT 161.5

Note: This course satisfies the Pathways: Mathematical & Quantitative Reasoning requirement.

Course Syllabus - This course covers basic statistics, including: measures of central tendency, measures of dispersion, graphs, correlation, the regression line, confidence intervals, the significance of differences, and hypothesis testing, including z-tests, t-tests, and chi-square tests.

Prerequisites: MAT 12, MAT 14, MAT 41, MAT 51 or MAT 161.5

Course Syllabus - This is an integrated course in analytic geometry and calculus, applied to functions of a single variable. It covers a study of rectangular coordinates in the plane, equations of conic sections, functions, limits, continuity, related rates, differentiation of algebraic and transcendental functions, Rolle's Theorem, the Mean Value Theorem, maxima and minima, and integration.
Prerequisite: MAT 206 or MAT 206.5

Course Syllabus - This course includes the study of several mathematical systems. The role of mathematics in modern culture, the role of postulational thinking in all of mathematics, and the scientific method are discussed. The course considers topics such as: the nature of axioms, truth and validity; the concept of number; the concept of set; scales of notation; and groups and fields.

Prerequisites: MAT 12, MAT 14, MAT 41, MAT 51 or MAT 161.5

Course Syllabus

## Research and Projects

- Opening Gatways – OER coordinator

A joint project with NYCT. The project focuses on Open Educational Resource (OER) development.

## Publications

- Abelian Hopf Galois structures on prime-power Galois field extensions Authors: S. C. Featherstonhaugh, A. Caranti and L. N. Childs Journal: Trans. Amer. Math. Soc. 364 (2012), 3675-3684,AMS

## Honors, Awards and Affiliations

- Distinguished Teaching Award

Fall 2001, Department of Mathematics University at Albany.

## Additional Information

Stephen Featherstonhaugh, Ph. D., 2003, “Abelian Hopf Galois structures on Galois field extensions of prime power order”