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.
| Code | Title | Points |
|---|---|---|
| Courses | ||
| APMA E4007 | APPLIED LINEAR ALGEBRA | |
| APMA E4008 | Advanced and Applied Linear Algebra | |
| APMA E4100 | Applied Analysis | |
| APMA E4101 | APPL MATH III:DYNAMICAL SYSTMS | |
| APMA E4150 | APPLIED FUNCTIONAL ANALYSIS | |
| APMA E4200 | PARTIAL DIFFERENTIAL EQUATIONS | |
| APMA E4204 | FUNCTNS OF A COMPLEX VARIABLE | |
| APMA E4300 | COMPUT MATH:INTRO-NUMERCL METH | |
| APMA E4301 | NUMERICAL METHODS/PDE'S | |
| APMA E4302 | METHODS IN COMPUTATIONAL SCI | |
| APMA E4306 | Applied Stochastic Analysis | |
| APMA E6301 | ANALYTIC METHODS FOR PDE'S | |
| APMA E6302 | NUMERICAL ANALYSIS OF PDE'S | |
| Related Courses of Specialization | ||
| MATH GU4032 | FOURIER ANALYSIS | |
| MATH GR6151 | ANALYSIS ＆ PROBABILITY I | |
| MATH GR6152 | ANALYSIS II | |
| APMA E6901 | SPECIAL TOPICS IN APPLIED MATH | |
| COMS E4241 | ||
| EESC GU4008 | Introduction to Atmospheric Science | |
| APPH E4210 | GEOPHYSICAL FLUID DYNAMICS | |
| APMA E9815 | ||
| PHYS GU4019 | MATHEMATICL METHODS OF PHYSICS | |
| APMA E8308 | ||
| APPH E4210 | GEOPHYSICAL FLUID DYNAMICS | |