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…

Cross-disciplinary fields such as biotechnology require chemical engineers and non-engineers to routinely work together, thus creating a need for non-engineers to learn chemical engineering. But limited knowledge on non-engineers' learning preferences and the lack of pedagogical methods to teach non-engineers restricts the opportunities available…

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…

Thermodynamics challenges teachers and learners. Its pervasiveness about nature, mathematical abstractness, nonnumerical relations, and complexity in applications can inhibit understanding and usage, especially by undergraduates. Perspectives are given about these obstacles, and some suggestions are made to enhance comprehension of the discipline.

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 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…

This work aims to demonstrate the use of Excel spreadsheets for solving L-L extraction problems. The key to solving the problems successfully is to be able to determine a tie line on the ternary diagram where the calculation must be carried out. This enables the reader to analyze the extraction process starting with a simple operation, the…

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.

The degrees of freedom (DOF) concept is a powerful tool that has been taught since at least the '70s in undergraduate curriculum, typically introduced in the context of a first course on material and energy balances. The concept, however, has not been widely applied beyond the material balance domain and in general is not taught as a unified…

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…