RUME 28
2026
Alexandria, Virginia
Mathematical Content in Physics for Life Sciences Homework
Page: 1220
This study presents a task-based content analysis of homework problems from a year-long, calculus-based physics sequence designed for life science students. Using a codebook created by adapting ideas from the Calculus Content Framework (CCF), we coded each homework task for the types of mathematical reasoning required, including derivatives, integrals, manipulating algebraic expressions, geometric reasoning, arithmetic calculation, and graph interpretation. Across the year, we found that manipulating algebraic expressions, arithmetic calculation, and geometric concepts appeared more frequently than calculus procedures such as derivatives or integrals. These findings align with prior work suggesting that algebraic skills and modeling are more central than calculus topics like derivatives or integrals in many physics tasks. As a preliminary study, this work invites feedback on how to build toward broader analyses, such as alignment with modeling-first calculus courses, with the long-term goal of better supporting students in navigating mathematics across disciplinary boundaries.