Applied mathematics research requires a deep understanding of mathematics and broad knowledge of other disciplines. Applied mathematicians must be well-trained in fundamentals of mathematics to model, analyze and compute solutions to real-world problems.

Real-world mathematics problems usually are not amenable to complete abstraction. Therefore, they often do not fall within the admissible set of problems for "pure" mathematics research. Instead, applied mathematicians must work through these issues to respect the connections that any mathematical analysis will have to the application.

Because mathematics serves as the framework for so many different areas in science and engineering, applied mathematicians are continually increasing their breadth of knowledge in other fields.

In fact, applied mathematics research is usually assessed through two criteria: (1) the sophistication of the mathematics used and (2) the novelty of the application. At UC Merced, the faculty and students engage in research in the following areas:

Mathematical areas

  • asymptotic analysis and perturbation methods
  • dynamical systems
  • dynamics and design problems for circuits and electromagnetic media
  • exponential integrators
  • free boundary problems
  • inverse problems
  • nonlinear analysis
  • nonlinear waves
  • numerical linear algebra
  • numerical optimization
  • stochastic and statistical modeling
  • waves in random media

Application areas

  • acoustics
  • bioelectrics
  • Bose-Einstein condensates
  • computational biology
  • economics
  • fluid dynamics
  • image processing and compressed sensing
  • mathematical physics
  • plasma physics
  • solar science
  • ultrafast laser and nonlinear optics
  • wireless networks

Contact Us

Graduate Admissions:
Phone: 209-228-4723
Graduate Funding:
Phone: 209-228-4622
General Inquiries:
Phone: 209-228-4723
Fax: 209-228-6906
Mailing Address:
University of California, Merced
ATTN: Graduate Division
5200 N. Lake Road, SSB 310
Merced, CA 95343


University of California, Merced
The first new American research
university in the 21st century, with a
mission of research, teaching and service.
University of California, Merced
5200 N. Lake Road
Merced, CA 95343
T: 209-228-4400
University of California


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