This course introduces core concepts of linear algebra, such as systems of linear equations, vector spaces, inner products, linear independence, dimension, linear transformations, matrices, determinants, eigenvalues, eigenvectors, and diagonalization. Tailored for non-Mathematics majors, it provides a strong foundation with applications across diverse fields of study.
MATH 2300 or APPM 1360.
Linear Algebra and Its Applications, by David C. Lay, Steven R. Lay, and Judi J. McDonald (5th edition).
This course will follow a flipped classroom model, where students study core concepts before class, enabling deeper exploration and application during in-person sessions. Active engagement in small mathematics groups is central to this approach, reflecting research-backed best practices for effective learning. A meta-analysis of 225 studies demonstrates the benefits of active learning, with significant improvements in outcomes across science, engineering, and mathematics disciplines (see https://www.pnas.org/content/111/23/8410). Additional research on undergraduate STEM courses highlights the effectiveness of collaborative, small-group learning environments. This innovative pedagogical approach, successfully implemented over recent years, continues to deliver encouraging results.