How this reminds me of me a long time ago...

At the moment, JAVA is the center of the programming universe, so you might as well go for that. You can't go wrong being a good Java programmer. Then branch out... C++ if you want to go in a systems direction -- writing operating systems, compilers, and applications that are performance bound (though the extreme in that direction is assembler, you have a different assembler for every processor type so that's a little more specialized). If you want to go in a business direction, then study and understand DBMS theory (for transaction processing and data warehousing -- very different approaches to using the same underlying DBMS) and practice -- this still after Java. Every DBMS has it's "procedural" and "non-procedural" language, for example PL/SQL & SQL+ for Oracle, Transact-SQL for MS SQL-Server, etc. When you're going to write applications that are customized for specific corporations, you need scripting languages to do workflow, and those would be things like Perl, Python, Ruby, PHP, Tcl, etc, each has strengths and weaknesses.

Once you learn a few languages it becomes much easier to pick up others. this is especially true of the DBMS languages (4th and 5th "GLs" (genereation languages)), and a little less true of the lower level (3GLs) languages like Jave, C, and older languages like Cobol, BASIC, Fortran, etc. Script languages are in between and can be stylistically very different from one another. We all have our favorites.

These days, it isn't just about languages though. Corporations are buying into the hype that they can avoid programming by using higher-level applications to WRITE code (behind the scenes) that does stuff like load or extract (for reporting) data from DBMS systems, or handles workflow. So you have products like Informatica, DataStage, Business Works, Microstrategy, and many many others that corporations are often demanding skill sets in. Its all getting very complicated...

As for me, I got into programming by accident and I let what ever my boss (at the time) needed be my push into what ever I did. Not a great way to go, but eventually I did end up doing what I was really good at, DBMS work and workflow in Perl.... Still having fun with it too after all these years, but I have to admit that my own prejudice against the various high-level app tools mentioned just above (I spent 4 years with Tibco for example and hate it) has held me back, but I continue (sometimes after long struggle) to find what I want (in my case Oracle + Perl) and I'm close enough to retirement that I don't give a damn that I'm still not a Java programmer!!!

Have fun. Agree with last poster... Besides computer languages, get in as much math as you can. Personally all my programming is for business and I don't actually write algorithms that require any math beyond basic algebra, BUT... The understanding of DEEPER math definately helps you grasp what you must do to make your programs run better and puts you in a much better position to do the really interesting work. For example if you want to do GAMES, or real-world-looking graphics, etc, you'd better be up on your calculus!