Mathematics 325 - Calculus of Variations

What is the shape of a hanging chain? What shape of fixed perimeter encloses the most area? The calculus of variations answers questions such as these through maximizing or minimizing values of functionals over different input functions. Topics covered will include functional differentiation, the Euler-Lagrange equations, necessary and sufficient conditions for extrema, and direct minimization methods. Additionally, there will be applications to physics and optimization, including Hamiltonian mechanics.

MATH 211 and either MATH 271 or MATH 272, or consent of the instructor is required. Limited to 25 students.

How to handle overenrollment: Priority determined by seniority.

Students who enroll in this course will likely encounter and be expected to engage in the following intellectual skills, modes of learning, and assessment: Problem sets, exams, final project