A bit of context before hand. I am a second year PhD student. In the course of my studies, I have slowly shifted from aerospace engineering towards computer science. Now, my research involves developing software applicable for aerospace systems. I am fairly competent in programming and related subjects, even though I sometimes find my lack of background in those subjects to be penalysing.
I found a summer program in which I am highly interested in. However, it was mainly designed for CS students. In my application, I want to make a case that even though I am not an ideal candidate for this program (which in my opinion is quite obvious, even though I have proven capabilities in some of the subjects required) I still think I should get accepted. One of the my main arguments is that everything I have learned so far on programming and related subjects was through self-study (mainly online tutorials), which shows I am highly motivated and can work independently.
So it got me thinking. In general, is it a good idea to admit his own weaknesses when applying for a specific position?