Computer sciences is mathematics, software engineering is programming, IT support (I'm including infrastructure and infosec here) is making sure that computers run fine for the employees needs.
Don't let the infosec people hear that you lump them into support. At one of my past organizations they outright refused their workshops to be integrated with the company wide ticketing system. He can use it but not infosec.
Computer sciences is mathematics, software engineering is programming, IT support (I'm including infrastructure and infosec here) is making sure that computers run fine for the employees needs.
Don't let the infosec people hear that you lump them into support. At one of my past organizations they outright refused their workshops to be integrated with the company wide ticketing system. He can use it but not infosec.