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Numerically Parametrizing Curves
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| Organization: | Northern Kentucky University |
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| The College Mathematics Journal |
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I will first derive the system of differential equations for parametrizing a plane curve, then extend the derivation to obtain a similar system of differential equations for space curves. Finally, I will discuss modifications to the system for both plane and space curves when singular points occur. The ideas behind this method will be familiar to most mathematics majors: concepts from introductory differential equations and multivariable calculus tied together with linear algebra. Upper-level undergraduates will be gratified to see that the knowledge they possess can be used to solve nontrivial problems.
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