E. Smith, J. Zwolak, and C. Manogue,
PERC 2015 Proceedings, 311-314.

Complex numbers and functions are used in multiple subfields in undergraduate physics. We use pretests, quizzes, and exams administered throughout the junior year to identify…

C. Manogue, E. Gire, and D. Roundy,
PERC 2013 Proceedings, 27-30.

Upper-division physics requires students to use abstract mathematical objects to model measurable properties of physical entities. We have developed activities that engage students…