Online courses are growing in higher education, resulting from an increased access to information and communication technologies. While such courses allow time and/or space flexibility for both students and instructors, they also promote active learning and require more autonomy from the students. In this paper, we present the main design features of a new prerequisite mathematics online course in a business faculty. While most of the course was designed in an asynchronous mode, it also includes blended synchronous support sessions that students can attend each week. As a Scholarship of Teaching and Learning (SoTL) project, we related the design features of the course to students' learning support and perceptions by analyzing the content of the learning management system as well as students' narrative comments in course teaching evaluations over five semesters. The main themes reported concerned the appreciated course design and structure, the enhanced instructor's presence through commented slideshows and support sessions, the instructor's accessibility and care, a challenging but relevant course, and collaborative practice with a software application. In particular, the instructor's presence and follow-up throughout the semester was highlighted by the students as a means to support their learning. Furthermore, most students' comments reported positive perceptions about the online course and specific design features. Several comments also allowed to identify potential areas for change in a future version on the course, as part of the SoTL research that focuses on teaching and learning improvement.