Teaching Advanced Topics in Numerical Engineering Using Project-Based Learning

This case study discusses the use of computational platforms and resources for the organization and delivery of lectures in Numerical Engineering using Project-Based Learning (PBL). Additionally, this paper introduces elements of Flipped Classroom. The goal is to demonstrate how modern teaching techniques can enhance the quality of education for students and provide lecturers with an efficient method to set and evaluate Learning Objectives using Bloom's Taxonomy. The evaluation of Learning Outcomes, with a focus on Formative Assessment, is herein extensively discussed. The methods and results presented herein are based on the preparation and delivery of the master-level courses Advanced Finite Element Methods (AFEM) and Advanced Finite Element Methods Lab (AFEM-Lab) that took place in Summer Semester 2023 and Winter Semester 2023-24, respectively, at the Technical University of Munich (TUM). The results presented herein clearly show the effectiveness of using computational platforms and formative assessment both for PBL and Flipped Classroom in the context of advanced academic teaching.