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AMATH 580: Mathematical Communication for Graduates
2.00 Credits
University of Washington-Seattle Campus
Analysis and practice of mathematical writing. Oral and poster conference presentations. Academic job interview skills. Mathematics on the web. Offered: jointly with MATH 500 and STAT 500.
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AMATH 580 - Mathematical Communication for Graduates
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AMATH 581: Scientific Computing
5.00 Credits
University of Washington-Seattle Campus
Projectoriented computational approach to solving problems arising in the physical/engineering sciences, finance/economics, medical, social and biological sciences. Problems requiring use of advanced MATLAB routines and toolboxes. Covers graphical techniques for data presentation and communication of scientific results.
Prerequisite:
Proficiency in basic MATLAB or AMATH 301, or permission of instructor
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AMATH 581 - Scientific Computing
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AMATH 584: Applied Linear Algebra and Introductory Numerical Analysis
5.00 Credits
University of Washington-Seattle Campus
Numerical methods for solving linear systems of equations, linear least squares problems, matrix eigen value problems, nonlinear systems of equations, interpolation, quadrature, and initial value ordinary differential equations. Offered: jointly with MATH 584; A.
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AMATH 584 - Applied Linear Algebra and Introductory Numerical Analysis
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AMATH 585: Numerical Analysis of Boundary Value Problems
5.00 Credits
University of Washington-Seattle Campus
Numerical methods for steady-state differential equations. Two-point boundary value problems and elliptic equations. Iterative methods for sparse symmetric and nonsymmetric linear systems: conjugate-gradients, preconditioners. Offered: jointly with MATH 585; W.
Prerequisite:
AMATH 584/MATH 584 which may be taken concurrently
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AMATH 585 - Numerical Analysis of Boundary Value Problems
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AMATH 586: Numerical Analysis of Time Dependent Problems
5.00 Credits
University of Washington-Seattle Campus
Numerical methods for time-dependent differential equations, including explicit and implicit methods for hyperbolic and parabolic equations. Stability, accuracy, and convergence theory. Spectral and pseudospectral methods. Offered: jointly with ATM S 581/MATH 586; Sp.
Prerequisite:
AMATH 581 or AMATH 584
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AMATH 586 - Numerical Analysis of Time Dependent Problems
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AMATH 587: Asymptotics and Special Functions
3.00 Credits
University of Washington-Seattle Campus
Origin and properties of higher transcendental functions; theoretical basis and applications of Laplace, Fourier, Bessel, Mellin transforms; asymptotic analysis, including methods of steepest descent and stationary phase, WKB.
Prerequisite:
AMATH 567, AMATH 568, AMATH 569, or equivalent
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AMATH 587 - Asymptotics and Special Functions
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AMATH 588: Green’s Functions and Integral Equations
3.00 Credits
University of Washington-Seattle Campus
Review of Sturm-Liouville theory. Green’s functions and integral representation of solution to PDEs. Fredholm and Volterra integral equations. Hilbert-Schmidt theory. Singular integral equations of Cauchy type. Applications to science and engineering.
Prerequisite:
AMATH 567, AMATH 568, AMATH 569, or equivalent
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AMATH 588 - Green’s Functions and Integral Equations
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AMATH 592: Special Topics in Stochastic Analysis and Modeling
5.00 Credits
University of Washington-Seattle Campus
Stochastic techniques and models with applications. Markov process and diffusion, stochastic differential equations, randomly perturbed dynamical systems, and statistical mechanics.
Prerequisite:
AMATH 572, or permission of instructor
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AMATH 592 - Special Topics in Stochastic Analysis and Modeling
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AMATH 594: Special Topics in Numerical Analysis
2.00 - 3.00 Credits
University of Washington-Seattle Campus
Various advanced topics in numerical analysis and scientific computing, such as iterative methods, eigenvalue computations, approximation theory, finite element methods, inverse problems, nonlinear conservation laws, computational fluid dynamics. Offered: jointly with MATH 594.
Prerequisite:
AMATH 584, 585, 586, or equivalent
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AMATH 594 - Special Topics in Numerical Analysis
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AMATH 595: Special Topics in Numerical Analysis
2.00 - 3.00 Credits
University of Washington-Seattle Campus
Various advanced topics in numerical analysis and scientific computing. See the description for 594 for sample topics. Offered: jointly with MATH 595.
Prerequisite:
AMATH 584, 585, 586, or equivalent
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AMATH 595 - Special Topics in Numerical Analysis
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