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AMATH 400: Mathematical Communication for Undergraduates
2.00 Credits
University of Washington-Seattle Campus
Techniques of effective writing and oral presentations in the mathematical sciences. Offered: jointly with MATH 400 and STAT 400.
Prerequisite:
at least 15 credits in MATH, STAT, AMATH, or CSE at the 300 or 400 level, including MATH 307 or AMATH 351 and MATH 308 or AMATH 352
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AMATH 400 - Mathematical Communication for Undergraduates
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AMATH 401: Vector Calculus and Complex Variables
4.00 Credits
University of Washington-Seattle 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. Offered: A.
Prerequisite:
MATH 324
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AMATH 401 - Vector Calculus and Complex Variables
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AMATH 402: Methods for Ordinary Differential Equations
4.00 Credits
University of Washington-Seattle Campus
See 401. Applications of ordinary differential equations; review of elementary concepts for first and second order equations; power series and Frobenius solutions. Laplace transforms; systems of differential equations, eigenvalues. Offered: W.
Prerequisite:
either AMATH 351 or MATH 307
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AMATH 402 - Methods for Ordinary Differential Equations
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AMATH 403: Methods for Partial Differential Equations
4.00 Credits
University of Washington-Seattle 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’s functions and integral transform methods.
Prerequisite:
AMATH 402
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AMATH 403 - Methods for Partial Differential Equations
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AMATH 422: Introduction to Mathematical Biology
3.00 Credits
University of Washington-Seattle Campus
Mathematical modeling in biology and medicine. Introduction to chaos and nonlinear dynamics, population models (predator-prey and competition systems), epidemic models with applications to sexually transmitted diseases and dynamic diseases, enzyme kinetics, biological oscillators and switches. Offered: W.
Prerequisite:
either AMATH 351, MATH 136, or MATH 307
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AMATH 422 - Introduction to Mathematical Biology
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AMATH 423: Mathematical Biology: Stochastic Models
3.00 Credits
University of Washington-Seattle 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. Offered: Sp.
Prerequisite:
either AMATH 351 or MATH 307, MATH/STAT 390
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AMATH 423 - Mathematical Biology: Stochastic Models
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AMATH 441: Introduction to Fluid Dynamics
4.00 Credits
University of Washington-Seattle 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
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AMATH 490: Special Topics
1.00 - 5.00 Credits
University of Washington-Seattle 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
1.00 - 6.00 Credits
University of Washington-Seattle 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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AMATH 499: Undergraduate Reading and Research
1.00 - 6.00 Credits
University of Washington-Seattle Campus
Credit/no credit only. Offered: AWSpS.
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AMATH 499 - Undergraduate Reading and Research
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