Students' level of engagement and approach to learning can significantly impact their overall success in a course. This study used the student course engagement questionnaire (SCEQ) to assess the engagement levels of first-year undergraduate students studying three different introductory units (chemistry, biology and nursing) at a regional Australian university. No significant differences in engagement were found between genders, or for students studying different units. One of the most notable factors influencing engagement was student age, with students under 20 years of age scoring significantly less than mature age students across nearly all measures of engagement. Tertiary educators could use several complementary approaches to improve engagement in younger students, including the use of interactive multimedia and social media to connect with students, making the unit content relatable and relevant to students' lives, providing authentic and engaging assessment items, and pursuing interactive approaches to lectures and tutorials. Given that many university students take an introductory science course during their first year, these results are likely to be relevant across a range of disciplines.