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Applications

University of Colorado Denver Department of Mathematical and Statistical Sciences Graduate program in Applied Mathematics. Foundations: logic, algebra, mathematical analysis, probability theory,. Continuous models: differential equations, numerical methods,….

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Applications

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  1. University of Colorado DenverDepartment of Mathematical and Statistical SciencesGraduate program in Applied Mathematics Foundations: logic, algebra, mathematical analysis, probability theory,... Continuous models: differential equations, numerical methods,… Modeling of uncertainty: stochastic methods, probability, statistics,… Discrete models: discrete mathematics, graph theory, algorithms,… Optimization: continuous, discrete, stochastic,… Computer technology Applications Exciting advances in mathematics usually happen between disciplines!

  2. Some examples how interesting things happen between areas in applied mathematics HOT! Probability and statistics Discrete optimization Scheduling production, airlines, logistics,… Optimization Data assimilation, quantification of uncertainty Numerical partial differential equations Secure communications, internet Coding and cryptography Discrete mathematics (algebra, graph theory) Probabilistic graph theory Computer programming, social networks, genomics Parallel computing Geoscience: Weather forecasting, wildfire modeling, geology,… Sensors, epidemics forecasting, real-time systems

  3. Advice for your graduate study • Choose your advisor and your field carefully. • The advisor assigned to you now does not have to be your PhD advisor. It is OK to change. • Look around for what you like, for interesting topics, and where the jobs are. • Get the exams (prelims, comps) out of the way as soon as possible. • Build a large toolbox for your work • Take as many courses in differentareas as you can • Remember that progress often comes by an unexpected application of one area in another • Publish several papers already as a student • Grow independent of your advisor over time • Become the best teacher you can • Learn all you can about computers by doing • Good luck!

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