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.…

As more chemical engineering students enter careers beyond the field, students need more guidance in applying their problem solving skills to a challenges beyond the plant or refinery. Since Fall 2019, we have implemented case-based learning across our Material and Energy Balances course to help students practice chemical engineering thinking as a…

Membrane separation processes, from reverse osmosis to ultrafiltration to microfiltration, are gradually receiving more and more emphasis in undergraduate chemical engineering curricula. Of these processes, ultrafiltration tends to be the most amenable to the standard chemical engineering approach of theory development, mass and/or energy…

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…

This article presents and discusses the results of an educational innovation that seeks to introduce the world of molecular gastronomy in chemistry lessons as a means to review stoichiometry and offer an alternative way to learn. In the literature to date, there is no evidence of haute cuisine having been employed to contextualize stoichiometry…

Undergraduate students taking the Material and Energy Balance course often comment on (a) having a desire to know more about what kinds of problems chemical engineers working in industry address; and (b) feeling that in-class examples and homework problems do not address real-world problems. This case study, used in the Material and Energy Balance…

A concern in engineering education is students adopting a 'recognise and reproduce' approach to problem solving. In this study, an assignment was conceived and analysed through Legitimation Code Theory -- which allows for visualisation of students' thinking, and to illuminate how students construct knowledge in open-ended problem solving. The…

Generating a problem that addresses multiple course learning objectives can be a challenging, but worthwhile exercise for a professor. These types of problems are particularly useful late in a course to help students tie together seemingly disparate concepts to solve an integrated problem that requires them to review concepts mastered throughout…

With the advance of engineering education research and scholarship, there has been an increased focus on amending chemical engineering courses to increase student learning, engagement and enjoyment. These approaches are often incorporated in project-based courses such as capstone design courses and laboratory courses, providing opportunities to…

The engineering graduate of today will engage in a career which will span the middle of the twenty-first century, and beyond. They will work in a world which is increasingly more complex and uncertain than at any time before. This will require an integrated combination of technical knowledge and transferable skills and values, to a greater extent…

The use of active learning techniques in engineering classrooms has been limited despite substantial evidence supporting their efficacy in helping students construct problem-solving expertise. A blended classroom, which combines online and in-class learning, was employed in a Chemical Engineering Computation class to address instructional…

Novel analytical solutions based on the Lambert W function for two problems in ultrafiltration and diafiltration are described. Example problems, suitable for incorporation into an introductory module in unit operations, membrane processing, or numerical methods are provided in each case.

Despite the instinctive perception of mass and heat transfer principles in daily life, productive learning in this course continues to be one of the greatest challenges for undergraduate students in chemical engineering. In an effort to enhance student learning in classroom, we initiated an innovative active-learning method titled…

The implementation of troubleshooting within a pre-existing expository laboratory is described and evaluated. Student feedback indicated that troubleshooting activities are highly effective in providing a hands-on opportunity to exercise problem-solving skills and gain a better understanding of the whole process in addition to effectively…