This study sought to investigate university mathematics teachers' perceptions on their general pedagogical knowledge (GPK) while teaching an applied mathematics course tailored for pre-engineering students at a public university in Ethiopia. Using a case study approach, data were collected through a Likert-scale questionnaire and semi-structured interviews. Five mathematics teachers were selected using purposive sampling to investigate into their perceptions about their capabilities and the teaching methodologies they used. Quantitative data were analyzed using SPSS statistics 22, while qualitative data were analyzed thematically. Teachers exhibited diverse levels of GPK. On average, the study revealed that the teachers held a positive self-assessment of their GPK. While some teachers were assured of their skills, others feltthey needed more professional development in this domain. The findings of the study suggest that teachers' perceptions on GPK are pivotal for understanding the professional development requirements of mathematics teachers, thereby guiding endeavors to enhance undergraduate mathematics instruction.