Applied Mathematics


Applied Mathematics Overview

Mathematics has been a central feature of humanity's intellectual achievements over the past several centuries. Its role in the physical sciences and engineering is well established and continues to aid in their development. However, mathematics is becoming more important in the social sciences and life sciences, which are all new application areas for, applied mathematical sciences. Thus, the field is undergoing remarkable growth.

UC Merced offers an undergraduate major leading to a B.S. degree in the Applied Mathematical Sciences. This educational experience provides the foundations of mathematics and the skills needed to apply mathematics to real-world phenomena in the social sciences, natural sciences and engineering. The curriculum is designed to provide courses in the fundamentals while allowing for building expertise in an application area through the emphasis tracks. There is a core set of courses all mathematical sciences students take. Beyond those courses, students take an emphasis track consisting of courses in other fields. Some examples of emphasis tracks include physics, computational biology, economics, computer science and engineering, and engineering mechanics. New emphasis tracks will be added alongside new programs developing at UC Merced. Students may also design their own emphasis track with the approval of the faculty program leads for the Applied Mathematical Sciences major.

Areas of Research in Applied Mathematics   Careers

  • Asymptotic analysis and perturbation methods
  • Dynamics and design problems for circuits
    and electromagnetic media
  • Image processing and compressed sensing
  • Ultrafast laser and nonlinear optics

Applied Mathematics Learning Outcomes

Upon graduation, our graduates demonstrate:

  1. Solve mathematical problems using analytical methods;
  2. Solve mathematical problems using computational methods;
  3. Recognize the relationship between different areas of mathematics and the connections between mathematics and other disciplines;
  4. Give clear and organized written and verbal explanations of mathematical ideas to a variety of audiences;
  5. Model real-world problems mathematically and analyze those models using their mastery of the core concepts.

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