mathematics in atmospheric sciences

Atmospheric Sciences focuse on the scientific study of the behavior of weather and climate, and applications to the important practical problems of weather forecasting and climate prediction. Students develop a fundamental understanding of atmospheric processes, and acquire skill and experience in the analysis, interpretation and forecasting of meteorological events. The curriculum includes a strong foundation in basic mathematics and science courses; core courses in atmospheric thermodynamics, atmospheric dynamics, and synoptic meteorology; and choices among a variety of Atmospheric Science electives. 

Here are three examples of mathematics in atmospheric sciences:

modern numerical methods for the representation of conservation laws. In particular methods for interface tracking (level sets) and the representation of advection/diffusion processes where the diffusion is often associated with small scale turbulent (rather than molecular) processes and thus tends to be flow dependent, rather than fluid dependent will be discussed. Some background in numerical methods is preferred.

asymptotic methods, e.g., dimensional, similarity and perturbation analysis. Geophysical context will provided a discussion of large-scale balanced flows in the atmosphere/ocean and the applicability of multi-scale asymptotics as well as asymptotically adaptive numerical methods to these problems. Some background in PDEs is preferred.

basics of atmospheric thermodynamics and moist convection, basics of probability, kinetic theory, interacting particle systems, and stochastic modeling. Emphasis is placed on constructing simple stochastic models for the representation of deep moist convection. Some background in probability is preferred.