LECTURE: | MWF 1500 - 1550 | Bexell Hall 328 | CRN 35155 |
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Instructor: | R.E. Showalter | Kidder 368 | show@math.oregonstate.edu |
Variational methods and related concepts from classical and modern applied mathematics are introduced in the discrete setting. Models of conduction and vibration lead to large systems of linear equations and ordinary differential equations. These lead us to consider diagonalization of matrices, eigen-value problems and minimization, asymptotics of eigenvalues, separation of variables. Nonlinear topics include a selection from phase portraits, linearization and stability of equilibria, conservative systems, reversible systems, limit cycles and the Poincare-Bendixson Theorem.Prerequisite: MTH 256 and MTH 341 or instructor approval required. MTH 480 and MTH 481 cannot both be taken for credit.