Tony Harkin
Associate Professor
School of Mathematics and Statistics
College of Science
585-943-7889
Office Hours
Fall 2024 : Wednesday 3pm, Friday 3pm and by appointment
Office Location
Office Mailing Address
Gosnell 1344
Tony Harkin
Associate Professor
School of Mathematics and Statistics
College of Science
Education
BS, State University College at Brockport; MS, Massachusetts Institute of Technology; Ph.D., Boston University
585-943-7889
Areas of Expertise
Applied and Computational Mathematics
Fluid Mechanics
PDE
Dynamical Systems
Mathematical Modeling
Select Scholarship
Journal Paper
Harkin, Anthony, T.J. Kaper, and A. Nadim. "Energy Transfer Between the Shape and Volume Modes of a Nonspherical Gas Bubble." Physics of Fluids 25. 62101 (2013): 1-11. Print.
Journal Editor
Harkin, Anthony, ed. International Journal of Applied Nonlinear Science. Genèva Switzerland: Inderscience Publishers, 2013. Print.
Published Article
Hollenbeck, Dawn, Michael K Martini, Andreas Langner,Anthony Harkin, David Ross, and George Thurston. “Model for evaluating patternedcharge-regulation contributions toelectrostatic interactions betweenlow-dielectric spheres.” Physical Review E,82.3 (2010): n.p. Web. " *
Currently Teaching
MATH-220
Vector Calculus
1 Credits
This course introduces students to the concepts, techniques, and central theorems of vector calculus. It includes a study of line integrals, conservative vector fields, the flux of vector fields across curves and surfaces, Green’s Theorem, the Divergence Theorem, and Stokes’ Theorem. Credit may not be earned for this class if it is earned in COS-MATH-221.
MATH-221
Multivariable and Vector Calculus
4 Credits
This course is principally a study of the calculus of functions of two or more variables, but also includes a study of vectors, vector-valued functions and their derivatives. The course covers limits, partial derivatives, multiple integrals, Stokes' Theorem, Green's Theorem, the Divergence Theorem, and applications in physics. Credit cannot be granted for both this course and MATH-219.
MATH-231
Differential Equations
3 Credits
This course is an introduction to the study of ordinary differential equations and their applications. Topics include solutions to first order equations and linear second order equations, method of undetermined coefficients, variation of parameters, linear independence and the Wronskian, vibrating systems, and Laplace transforms.
MATH-341
Advanced Linear Algebra
3 Credits
This is a second course in linear algebra that provides an in-depth study of fundamental concepts of the subject. It focuses largely on the effect that a choice of basis has on our understanding of and ability to solve problems with linear operators. Topics include linear transformations, similarity, inner products and orthogonality, QR factorization, singular value decomposition, and the Spectral Theorem. The course includes both computational techniques and the further development of mathematical reasoning skills.
MATH-631
Dynamical Systems
3 Credits
This course is a study of dynamical systems theory. Basic definitions of dynamical systems are followed by a study of maps and time series. Stability theory of solutions of differential equations is studied. Asymptotic behavior of solutions is investigated through limit sets, attractors, Poincaré–Bendixson theory, and index theory. The notion of local bifurcation is introduced and investigated. Chaotic systems are studied.
MATH-742
Partial Differential Equations II
3 Credits
This is a continuation of Partial Differential Equations I and deals with advanced methods for solving partial differential equations arising in physics and engineering problems. Topics to be covered include second order equations, Cauchy-Kovalevskaya theorem, the method of descent, spherical means, Duhamels principle, and Greens function in higher dimensions.