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Applied mathematics and statistics are disciplines devoted to the use of mathematical methods and reasoning to solve real-world problems of a scientific or decision-making nature in a wide variety of subjects, principally (but not exclusively) in engineering, medicine, the physical and biological sciences, and the social sciences. Applied mathematical modeling often involves the use of systems of (partial) differential equations to describe and predict the behavior of complex real-world systems that unfold dynamically in time. Statistics, construed broadly, is the study of uncertainty: how to measure it (using ideas and methods in probability theory), and what to do about it (using concepts from statistical inference and decision theory).
Baskin School of Engineering Applied Mathematics faculty and students investigate new areas in high performance computing, computational mathematics, fluid dynamics, control theory, and mathematical biology. The outcomes of the UC Santa Cruz Applied Mathematics group helps to propel other research forward.
Baskin School of Engineering Statistics faculty use statistics to extract information from data and embrace uncertainty. Grounded in theoretical Bayesian statistics, these UC Santa Cruz researchers work in the interfaces between applications, methods and theory, developing statistical methods and models with applications to engineering, economics, climatology, biomedical sciences, social sciences, and political sciences.