General Physics Colloquium, Professor Warren Christensen, North Dakota State University

Title: Investigations in the Use of Calculus within the Domains of Mathematics and Physics Instruction

Host:  Natasha Holmes

Abstract:  Success for students in Physics requires understanding and the application of numerous mathematical skills. Mathematical preparation (Calc I, II, III, Diff EQ, and Linear Algebra) are commonplace among required courses for physics majors. After close inspection, it is becoming clearer that the mathematics taught in Math courses, and the mathematics students are expected to use in intro- through upper-division physics courses has a number of differences that may interfere with student success. Through qualitative methods, we have unpacked distinct and potentially impactful differences in how students’ reason about integration and differentials. Most notably, is the limit vs. infinitesimal definition of integration. Interview data will demonstrate the depth and nuance of these complications, with insight into how curriculum development and instructional intervention may assist in the effort of student success.