``Calculus of Variations with Applications in Mechanics,'' by Carroll O. Wilde, UMAP 468. This module provides a brief introduction to finding functions that yield the maximum or minimum value of certain definite integral forms, with applications in mechanics. Students learn Euler's equations for some definite integral forms and learn Hamilton's principle and its application to conservative dynamical systems. The basic physics of kinetic and potential energy, the multivariate chain rules, and ordinary differential equations are required.

For Projects 1–5, complete the requirements in the referenced UMAP module or monograph. (See enclosed CD for UMAP modules.)