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MATH 415: Mathematical Biology
4.00 Credits
Western Washington University
Prereq: MATH 224; either 204 and 331, or 203 and 303. An introduction to mathematical models in biology. Population models, Michaelis-Menten kinetics, models for neuron functioning, pattern formation. Mathematical topics: difference equations, dynamical systems, conservation equations, stochastic models.
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MATH 419: Historical Perspectives of Mathematics
3.00 Credits
Western Washington University
Prereq: 12 credits of upper-division mathematics. History and development of mathematical thought from ancient to modern times. Philosophical, sociological and biographical perspectives.
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MATH 419 - Historical Perspectives of Mathematics
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MATH 420: Topics in The History And Philosophy of Mathematics
3.00 Credits
Western Washington University
Prereq: Mat h 312. Concentrated study of a topic or a closely connected group of topics associated with the history and philosophy of mathematics. Students are required to write a substantial expository paper.
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MATH 420 - Topics in The History And Philosophy of Mathematics
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MATH 421: Methods of Mathematical Analysis I
4.00 Credits
Western Washington University
Prereq: Mat h 312. Introduction to metric spaces, properties of functions on metric spaces, compactness and continuity. The student is expected to develop competence in proving basic theorems involving these concepts.
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MATH 421 - Methods of Mathematical Analysis I
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MATH 422: Methods of Mathematical Analysis II
4.00 Credits
Western Washington University
Prereq: Mat h 421. Analysis on the real line, including uniform convergence of series, using metric space notions. The student is expected to develop competence in proving theorems involving these concepts.
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MATH 422 - Methods of Mathematical Analysis II
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MATH 424: Topics in Analysis
4.00 Credits
Western Washington University
Prereq: MATH 422. Topics such as pointwise convergence of Fourier series, Gibbs phenomenon, Poisson summability, Dirichlet problem for the disc, Weierstrass approximation theorem. Repeatable with various topics.
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MATH 424 - Topics in Analysis
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MATH 430: Fourier Series And Partial Differential Equations
4.00 Credits
Western Washington University
Prereq: Mat h 204 and 331 or 203 and 303; and 226. An introduction to the Fourier series and the Fourier transform; applications to boundary value problems including the wave and heat equations.
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MATH 430 - Fourier Series And Partial Differential Equations
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MATH 432: Systems of Differential Equations
4.00 Credits
Western Washington University
Prereq: either Mat h 204 and 331, or MATH 203 and 303. Forced second order equations, systems of nonlinear differential equations, applications.
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MATH 432 - Systems of Differential Equations
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MATH 438: Introduction to Complex Variables
4.00 Credits
Western Washington University
Prereq: Mat h 225, 226. Differentiation and integration of complex-valued functions; Cauchy integral theorem; calculations of residues.
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MATH 438 - Introduction to Complex Variables
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MATH 441: Probability
4.00 Credits
Western Washington University
Prereq: MATH 204, 224 and 312. Discrete and continuous random variables, moment generating functions, multivariate distributions, survey of widely used distributions such as normal, chi-square, gamma, t and F distributions. Emphasis on the theoretical aspects of probability.
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MATH 441 - Probability
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