A method is presented which can be used to obtain analytical solutions for boundary value problems (BVPs) using the matrix exponential and Maple. Systems of second order, linear differential equations are expressed as two or more first order equations in matrix form, and their solutions are obtained using the matrix exponential, matrix…

Strategies are proposed that promote use of an Integrated Applied Mathematics (IAM) approach to enhance teaching of advanced problem-solving and analysis skills. Three scenarios of 1-dimensional transport processes are presented that support using Error Function analyses when considering short time/small penetration depths in finite geometries.…

Problem solving in chemical kinetics poses substantial challenges for university students since it often involves significant use of mathematics as a tool and language, with challenging translations and transitions between chemical phenomena and mathematical representations. In this paper, we present key findings from a study investigating…

This study explores the effects of a computer algebra system on students' mathematical thinking. Mathematical thinking is identified with mathematical thinking powers and structures. We define mathematical thinking as students' capacity to specialize and generalize their previous knowledge to solve new mathematical problems. The study was…

Engineering curriculum often fails to connect content and decisions to impacts on diverse, particularly marginalized, communities. Given that integration of social justice ideas into curriculum is currently uncommon among most faculty, we provide resources in the form of a workshop to help catalyze these efforts by teaching faculty how to…

This study explores talent-development trajectories of early-career chemical engineers to identify key components for success in the field using the talent development megamodel as a theoretical framework. Interviews with 12 recent PhD graduates reveal a trajectory across four developmental stages: (a) math ability and science ability, (b)…

Project-Enhanced learning is an excellent way to facilitate student-centered learning along with traditional lecture-based learning. In this Class and Home problem, an example of Project-Enhanced learning is provided that can be used in the Mass and Energy Balances (MEB) course. The students solve this problem as part of a group while receiving…