No, I would not recommend that you take general courses your first year. There are many variations of "Engineering" but they are basically off shoots of the basic types of engineering: Mechanical, Electrical, Civil, Chemical. It has been my experience that the first year courses in all of these are very similar. Do a little research on the Internet and talk to engineers that are "in the field" as to the type of work each of them do and then enroll in the type of engineering which seems most appealing to you. It is very important that you select a branch of engineering that is appealing to you because engineering is not easy and yo will do much better working in an area that you find interesting. A very broad, basic classification of the engineering types is as follows: Mechanical Engineers work on things that move (i.e. airplanes, automobiles, machinery, etc.), Civil Engineers work on things that do not move (i.e. buildings, bridges, roads, structures, etc.), electrical engineers work on things having to do with electricity (i.e. computers, electrical distribution systems, motors, controls, etc.). You get the idea. Once you are in school, you will have the opportunity to talk with students and professors in all of the various types of engineering. If you decide that your initial pick wasn't what you really want to do, you can transfer to one of the others at the end of your first year without "loosing" many or any credits for the classes you have already taken. When I started out in engineering, I initially signed up for Civil Engineering, but after discussions with a few professors, changed my major to Mechanical Engineering and have been very happy with Mechanical Engineering working mostly with large power generating equipment .
Hope this helps,