Iterative solution of nonlinear equations in several variables
Iterative solution of nonlinear equations in several variables
PRIMUS: problems, resources, and issues in mathematics undergraduate studies
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We describe a two-semester numerical methods course that serves as a research experience for undergraduates without requiring external funding or modification of current curriculum. The first semester introduces traditional material and builds a proper set of tools that the students use in the second semester to approach a more research oriented problem. Our vehicle is an engineering problem associated with the hydro-dynamics of keel design which is used to introduce students to constrained optimization via a variation of the traditional isoperimetric problem of finding the curve with fixed end-points, fixed perimeter, and maximum area.