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APPM 5560: Markov Processes,Queues,and Monte Carlo Simulations
3.00 Credits
University of Colorado Boulder
Prereq., APPM 3570 or equivalent. Same as APPM 4560.
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APPM 5560 - Markov Processes,Queues,and Monte Carlo Simulations
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APPM 5570: Statistical Methods
3.00 Credits
University of Colorado Boulder
Same as APPM 4570.
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APPM 5570 - Statistical Methods
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APPM 5580: Statistical Applications:Software and Methods
3.00 Credits
University of Colorado Boulder
Continuation of APPM 5570. Prereq., one semester of statistics. Same as APPM 4580.
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APPM 5580 - Statistical Applications:Software and Methods
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APPM 5600: Numerical Analysis
3.00 Credits
University of Colorado Boulder
Solution of nonlinear algebraic equations, interpolation, integration, approximation, and numerical linear algebra. Prereq., APPM 3310 or MATH 3130, and experience with a scientific programming language.
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APPM 5600 - Numerical Analysis
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APPM 5610: Numerical Analysis
3.00 Credits
University of Colorado Boulder
Numerical linear algebra, eigenvalue problems, optimization problems, and ordinary and partial differential equations. Prereq., APPM 5600 or MATH 5600.
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APPM 5610 - Numerical Analysis
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APPM 5720: Open Topics in Applied Mathematics
1.00 - 3.00 Credits
University of Colorado Boulder
Same as APPM 4720.
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APPM 5720 - Open Topics in Applied Mathematics
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APPM 6520: Mathematical Statistics
3.00 Credits
University of Colorado Boulder
Emphasizes mathematical theory of statistics. Topics include distribution theory, estimation and testing of hypotheses, multivariate analysis, and nonparametric inference, all with emphasis on theory. Prereq., APPM 5520 or MATH 5520. Same as MATH 6520.
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APPM 6520 - Mathematical Statistics
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APPM 6550: Introduction to Stochastic Processes
3.00 Credits
University of Colorado Boulder
Systematic study of Markov chains and some of the simpler Markov processes including renewal theory, limit theorems for Markov chains, branching processes, queuing theory, birth and death processes, and Brownian motion. Applications to physical and biological sciences. Prereqs., MATH 4310, MATH 4510 or APPM 3570, or APPM 4560, or instructor consent. Same as MATH 6550.
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APPM 6550 - Introduction to Stochastic Processes
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APPM 6610: Introduction to Numerical Partial Differential Equations
3.00 Credits
University of Colorado Boulder
Covers finite difference, finite element, finite volume, pseudo-spectral, and spectral methods for elliptic, parabolic, and hyperbolic partial differential equations. Prereq., APPM 5600. Recommended prereq., APPM 5610 or graduate numerical linear algebra.
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APPM 6610 - Introduction to Numerical Partial Differential Equations
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APPM 6640: Multigrid Methods
3.00 Credits
University of Colorado Boulder
Develops a fundamental understanding of the principles and techniques of the multigrid methodology, which is a widely used numerical approach for solving many problems in such diverse areas as aerodynamics, astrophysics, chemistry, electromagnetics, hydrology, medical imaging, meteorology/oceanography, quantum mechanics, and statistical physics.
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APPM 6640 - Multigrid Methods
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