# Applied Mathematics (PhD, EngScD)

## Applied Mathematics

Applied mathematics deals with mathematical concepts and techniques used in various fields of science and engineering. Historically, mathematics was first applied with great success in astronomy and mechanics. Then it developed into a main tool for physics, other physical science, and engineering. It is now becoming important in the biological, geological, economics, business, etc. With the coming of age of the computer, applied mathematics transcended its traditional style and now assumes an even greater importance and a new vitality.

Compared with the pure mathematician, the applied mathematician is more interested in problems coming from other fields. Compared with the engineer and the physical scientist, the applied mathematician is more concerned with the formulation of problems and the nature of solutions. Compared with the computer scientist, the applied mathematician is more concerned with the accuracy of approximations and the interpretation of results. Needless to say, even in this age of specialization, the work of mathematicians, scientists, and engineers frequently overlaps. Applied mathematics, by its very nature, has occupied a central position in this interplay and has remained a field of fascination and excitement for active minds.

The Applied Analysis specialty includes research on analytical and numerical partial differential equations; mathematical foundations of data analytics, uncertainty quantification, stochastic analysis; large-scale scientific computation; fluid dynamics and continuum mechanics; dynamical systems and chaos; and applications to various fields of data and physical and life sciences.

The Atmospheric, Oceanic, and Earth Physics specialty includes research on dynamics of the atmosphere and the ocean; climate modeling; cloud physics; radiation transfer; remote sensing; geophysical/geological fluid dynamics; and geochemistry.

Courses
APMA E4007APPLIED LINEAR ALGEBRA
APMA E4008Advanced and Applied Linear Algebra
APMA E4100Applied Analysis
APMA E4101APPL MATH III:DYNAMICAL SYSTMS
APMA E4150APPLIED FUNCTIONAL ANALYSIS
APMA E4200PARTIAL DIFFERENTIAL EQUATIONS
APMA E4204FUNCTNS OF A COMPLEX VARIABLE
APMA E4300COMPUT MATH:INTRO-NUMERCL METH
APMA E4301NUMERICAL METHODS/PDE'S
APMA E4302METHODS IN COMPUTATIONAL SCI
APMA E4306Applied Stochastic Analysis
APMA E6301ANALYTIC METHODS FOR PDE'S
APMA E6302NUMERICAL ANALYSIS OF PDE'S
Related Courses of Specialization
MATH GU4032FOURIER ANALYSIS
MATH GR6151ANALYSIS ＆ PROBABILITY I
MATH GR6152ANALYSIS II
APMA E6901SPECIAL TOPICS IN APPLIED MATH
COMS E4241
EESC GU4008Introduction to Atmospheric Science
APPH E4210GEOPHYSICAL FLUID DYNAMICS
APMA E9815
PHYS GU4019MATHEMATICL METHODS OF PHYSICS
APMA E8308
APPH E4210GEOPHYSICAL FLUID DYNAMICS