My current teaching is largely directed at students who are either in the Actuarial Mathematics or Financial Mathematics undergraduate programmes. The students are required to have at least an H3 in Leaving Certificate Mathematics Honours (or equivalent), so the classes generally have many students who have an aptitude  for  mathematics. The School previously offered a MSc programme in Industrial and Applied Mathematics, but this was specialised and became a MSc in Financial Mathematics.  Unfortunately this meant that the School no longer offered a module on applied dynamical systems for which Prof. J. Appleby and myself had effectively written a book. 

My methods of teaching have developed over years as new technologies have been introduced into third level education. My viewpoint has been influenced by several writers, but particularly by the reflections of Prof. Tom Korner, who until his retirement was a professor in the University Cambridge and fellow of Trinity Hall. He has written textbooks which I enjoy reading (note present tense). For each module I develop a skeletal outline  on slides, and then fill in the details during lectures. Like most mathematicians I enjoy using  large good quality blackboards, but also like the digital overhead cameras or visualisers which have recently been installed in many DCU lecture rooms. 

I believe that most students enjoy learning Mathematics if they also spend time studying its applications in other disciplines.