Student handout: Maxima and Minima

Vector Calculus I 2022
This small group activity introduces students to constrained optimization problems. Students work in small groups to optimize a simple function on a given region. The whole class wrap-up discussion emphasizes the importance of the boundary.
What students learn Elementary example of constrained optimization.

Find the maximum and minimum values of \(4x-3y\) on the circle of radius \(5\) centered at the origin, that is, on the circle \(\{x^2+y^2=25\}\).

Learning Outcomes