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AS.110.427. Introduction Calculus of Variations. 4.0 Credits.

The calculus of variations is concerned with finding optimal solutions (shapes, functions, etc.) where optimality is measured by minimizing a functional (usually an integral involving the unknown functions) possibly with constraints. Applications include mostly one-dimensional (often geometric) problems: brachistochrone, geodesics, minimum surface area of revolution, isoperimetric problem, curvature flows, and some differential geometry of curves and surfaces. Recommended Course Background: Calculus III
Prerequisites: Grade of B+ or better in AS.110.201 and AS.110.202.
Instructor(s): Y. Zhang
Area: Quantitative and Mathematical Sciences.

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