Having nearly finished our second year of teaching MATH0039, an ancillary course on differential and integral calculus, we would like to share our experience and what we have learnt. We will discuss some of the abstract principles that guided us when writing lecture notes, problem sheets and exams, before sharing some tips on how to give a good lecture and in particular, the role that comedic techniques and structures can play. We hope that many of the ideas are applicable in the much broader context of mathematics communication, including outreach workshops, tutorials, and talks at seminars or reading groups.