Dr. Calkins is interested in understanding many geophysical and astrophysical fluid dynamics problems, with particular emphasis on rotating convection and magnetic field generation as they apply to Earthâ€™s liquid outer core and other planets. One of his main interests is developing simplified systems of equations that can be solved numerically for the purpose of understanding fluid dynamical regimes that are not accessible to direct numerical simulations of the full governing equations.
MATH 5030  Intermediate Mathematical Physics 1
Primary Instructor

Fall 2020
Surveys classical mathematical physics, starting with complex variable theory and finite dimensional vector spaces. Discusses topics in ordinary and partial differential equations, the special functions, boundary value problems, potential theory, and Fourier analysis. Department enforced prerequisite: MATH 4001. Instructor consent required for undergraduates. Same as PHYS 5030.
PHYS 2210  Classical Mechanics and Mathematical Methods 1
Primary Instructor

Spring 2018
Theoretical Newtonian mechanics, including position and velocity dependent forces, oscillation, stability, noninertial frames and gravitation from extended bodies. Ordinary differential equations, vector algebra, curvilinear coordinates, complex numbers, and Fourier series will be introduced in the context of the mechanics.
PHYS 3310  Principles of Electricity and Magnetism 1
Primary Instructor

Spring 2019 / Fall 2019
Covers mathematical theory of electricity and magnetism, including electrostatics, magnetostatics, and polarized media, and provides an introduction to electromagnetic fields, waves, and special relativity.
PHYS 3320  Principles of Electricity and Magnetism 2
Primary Instructor

Spring 2020 / Spring 2021
Continuation of PHYS 3310. Electromagnetic induction; magnetic energy; microscopic theory of magnetic properties; Ac circuits; Maxwell's Equations; planewaves; waveguides and transmission lines; radiation from electric and magnetic dipoles and from an accelerated charge.
PHYS 5030  Intermediate Mathematical Physics 1
Primary Instructor

Fall 2020
This course and its continuation, PHYS 5040, form a survey of classical mathematical physics. Studies complex variable theory and finite vector spaces, and includes topics in ordinary and partial differential equations, boundary value problems, potential theory, and Fourier analysis. Same as MATH 5030.
PHYS 6950  Master's Thesis
Primary Instructor

Fall 2020 / Spring 2021
Approved problem in theoretical or experimental physics under the direction of staff members. Intended to introduce the student to procedures in research and development work. Work of an original nature expected.