Applied Mathematics
Why Applied Mathematics?
Applied Mathematics at UC Santa Cruz focuses on developing expertise in mathematical modeling, analysis, and scientific computation, with applications across a broad range of science and engineering disciplines, including fluid mechanics, mathematical biology, dynamical systems, stochastic processes, control, and optimization.
Our Ph.D. and M.S. programs emphasize the application of mathematics to solve real-world problems. The M.S. program prepares students for professional careers in fields requiring advanced mathematical proficiency. The Ph.D. program equips students with foundational tools in applied mathematics, enabling them to conduct independent research that transcends disciplinary boundaries in science and engineering. For more information about our graduate programs, contact the graduate advisor.
Students interested in the Scientific Computing and Applied Mathematics (SciCAM) M.S. should visit the SciCAM page.
Applied Mathematics at UC Santa Cruz spans multiple research areas
Fluid dynamics, including modeling, high-performance scientific computing, and uncertainty quantification methods
Optimization and control of complex systems, including modeling and prediction of complex biological and physical systems, and data-driven computational optimal control
Scientific computing and scientific machine learning, including data-driven modeling, high-dimensional dynamical systems, and numerical methods for machine learning
Stochastic systems and uncertainty quantification
Meet your AM advising team
Graduate Director
Program Learning Outcomes
Applied Mathematics (M.S.)
Applied Mathematics M.S. graduates will demonstrate:
- Proficiency with the fundamental knowledge in applied mathematics.
- Ability to use analytical and computational methods to solve a problem.
- Ability to apply mathematical methods to a real-world problem in an application area.
- Ability to communicate concepts and results to those with or without subject matter knowledge.
Applied Mathematics (Ph.D.)
Applied Mathematics Ph.D. graduates will demonstrate:
- Mastery of the fundamental knowledge in applied mathematics.
- Ability to use analytical and computational methods to solve a problem.
- Ability to develop and apply mathematical methods to model a real-world problem in an application area, and understand its relevance within the research context.
- Ability to communicate concepts and results to both other experts in the field and to people outside the field.
- Ability to conduct independent research.