I have struggled with "problematics" as a noun for a while when I started reading some French academics and took a lecturer who studied in France. At first I thought they were wrong but I just accepted it. Later on I was suprised by the usage also used by non-French academics.
Here are some examples from the Oxford English Dictionary:
Freq. in pl. A thing that constitutes a problem or an area of difficulty, esp. in a particular field of study.
1892 W. Wallace Logic of Hegel (ed. 2) 385 Krug's proposal (in his ‘Fundamental Philosophy’, 1803) to start with what he called 'philosophical problematics'.
1910 Amer. Jrnl. Sociol. 16 376 The presupposition of all representation, which has no part in the never wholly suppressible problematics of its contents.
1957 R. K. Merton Social Theory (rev. ed.) ii. Introd. 127 Working out its problematics, i.e., the principal problems (conceptual, substantive and procedural).
1997 Church Times 14 Mar. 14/3 We have a series of brilliantly original readings of the parables, to demonstrate their anchorage in the particular problematic of the day.
2004 Chicago Tribune (Nexis) 11 Apr. c1 Poems preoccupied with the problematics of seeing, of perspective, of the philosophical implications thereof.
Note that I got this from a public library website in New Zealand. I'm not sure if the Oxford English Dictionary is offered through other parts of the world libraries. See if the librarian can help.