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AMATH 383: Introduction to Continuous Mathematical Modeling NW
3.00 Credits
University of Washington-Bothell Campus
Introductory survey of applied mathematics with emphasis on modeling of physical and biological problems in terms of differential equations. Formulation, solution, and interpretation of the results. Prerequisite: either AMATH 351 or MATH 307. Offered: AWSpS.
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AMATH 383 - Introduction to Continuous Mathematical Modeling NW
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AMATH 401: Vector Calculus and Complex Variables NW
4.00 Credits
University of Washington-Bothell Campus
Emphasis on acquisition of solution techniques; ideas illustrated with specific example problems arising in science and engineering. Applications of vector differential calculus, complex variables. Line-surface integrals; integral theorems; Taylor and Laurent series, contour integration. Prerequisite: MATH 126. Offered: A.
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AMATH 401 - Vector Calculus and Complex Variables NW
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AMATH 402: Introduction to Dynamical Systems and Chaos NW
4.00 Credits
University of Washington-Bothell Campus
Overview of methods to describe the qualitative behavior of solutions of nonlinear differential equations. Phase space analysis of fixed points and periodic orbits. Bifurcation methods. Description of strange attractors and chaos. Introductions to maps. Applications from engineering, physics, chemistry and biology. Prerequisite: either AMATH 351 or MATH 307. Offered: W.
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AMATH 402 - Introduction to Dynamical Systems and Chaos NW
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AMATH 403: Methods for Partial Differential Equations NW
4.00 Credits
University of Washington-Bothell Campus
See 401. Applications of partial differential equations; linear and quasilinear first order equations, characteristics, shocks; classification of linear second order equations; basic solution techniques for parabolic, elliptic, and hyperbolic equations; Green fs functions and integral transform methods. Prerequisite: AMATH 402.
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AMATH 403 - Methods for Partial Differential Equations NW
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AMATH 410: Computational Biology and Chemistry
4.00 Credits
University of Washington-Bothell Campus
Introduction to computational methods in biology and chemistry. Applications focus on statistical models, equilibrium models, discrete- and continuous- time deterministic models, and stochastic models arising in the biological and life sciences, and chemistry. Uses MATLAB for numerical computation and data analysis. Teaches tools in parallel with their computational implementation.
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AMATH 410 - Computational Biology and Chemistry
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AMATH 422: Introduction to Mathematical Biology NW
3.00 Credits
University of Washington-Bothell Campus
Mathematical modeling in biology and medicine. Introduction to chaos and nonlinear dynamics, population models (predatorprey and competition systems), epidemic models with applications to sexually transmitted diseases and dynamic diseases, enzyme kinetics, biological oscillators and switches. Prerequisite: either AMATH 351, MATH 136, or MATH 307. Offered: A.
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AMATH 422 - Introduction to Mathematical Biology NW
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AMATH 423: Mathematical Biology:Stochastic Models NW
3.00 Credits
University of Washington-Bothell Campus
Introduction to the basics of stochastic models. Applications are taken from the biomedical sciences such as random movement of cells and molecules, activation of neurons, cancer growth and spread, population dynamics, kinetics of unimolecular reactions. Prerequisite: either AMATH 351 or MATH 307, MATH/STAT 390. Offered: W.
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AMATH 423 - Mathematical Biology:Stochastic Models NW
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AMATH 441: Introduction to Fluid Dynamics NW
3.00 Credits
University of Washington-Bothell Campus
Eulerian equations of mass and motion. Surface forces. Vorticity and vortex dynamics. Water waves and interfacial waves; concept of phase and group velocities. Linear instability theory. Simple viscous flows; boundary layer theory, potential theory. Low Reynolds-number flows, application to biological fluid flows. Prerequisite: AMATH 353.
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AMATH 441 - Introduction to Fluid Dynamics NW
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AMATH 490: Special Topics
3.00 Credits
University of Washington-Bothell Campus
Topics of current interest in applied mathematics not covered by other undergraduate courses.
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AMATH 490 - Special Topics
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AMATH 498: Senior Project or Thesis
3.00 Credits
University of Washington-Bothell Campus
Intended for Honors students and other advanced undergraduates completing a special project or senior thesis in applied mathematics. Offered: AWSpS.
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AMATH 498 - Senior Project or Thesis
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