At the 1300-1600 level, I would suggest studying Tactics rather than openings.
Looking for a study plan
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2000 is a massively tall order from such a level. I'm about the same level as you and my target is 1800 from a year and half at about 4-6 hours study a day and I think even that is optimistic...though doable.
(I have set up a group with the sole purpose of trying for 1800 - sharing idea, resources, etc, so have a look at that if you are interested. Click on my page and the link is on the left.)
In terms of study I would recommend (based on reading a lot of higher rated players suggestions):
1 Get a chess coach if you can.
2 Analyse your losses - look for better moves and try to learn from your errors and don't repeat them.
3 TACTICS. 'nough said.
4 Master games. Play through master games, preferably with annotations.
5 Other. Openings/endings/videos - whatever takes your fancy.
In order of importance.
Jan 10, 2013
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#4
Benedictine's suggestion is good. Especially the second suggestion is vital. The fastest way for chess progress is learning our own mistakes. When we really correct our mistakes, we progress inch by inch. There is no exception. We are losing games, because we are making mistakes. We tend to overlook our losing games and focusing our winning games. This is so usual. Ego thing. All of us trapped by it at sometime in our chess progress. But once we hit the hard wall, we understand we need to correct our mistakes. And,,, we can't correct our mistakes easily. This is why Benedictine put coaching to his 1st suggestion. And one final word: Only real love of chess can bring better progress. This is a must.
1300/1400 to 2000 on live ratings would be an incredible leap for 1 year of work. I'd advise getting a coach and going to many OTB tournaments in addition to whatever study plan you decide... frankly otherwise I don't believe it's possible to make that much improvement in 1 year.
For that much improvement you'll have to study some of everything... but least of all openings. I'd be sure to get at least 1 strategy book (e.g. Pachman's Modern Chess Strategy) 1 endgame book (perhaps Silman's Endgame book) and 1 game collection book (Fischer's 60, or Botvinnik's 100, or Zurich 1953, etc) These books alone would not get you to 2000, but they'd lay a good foundation, and together with regular tactical practice, a coach, regular tournament play, and analysis of your games you'd have a shot. You'd have to work hard almost every day.
Even if you didn't reach 2000 though you'd certainly improve a lot. The real key to a study plan is to actually do it :) That may sound silly but the key is not some grand and massive training regimen, but something you can work on every day. If you can work on your chess regularly, you'll see improvement. If you make an 8 hour a day schedule you'll probably burn out in less than a month.
Oct 7, 2013
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#6
People don't realize that elo isn't linear 
1300 to 2000 means you've actually multiplied your chess power by a factor of ~100
A 2000 elo player playing 100 games against a 1300 player is supposed to score 99pts+...
So I'm roughly 1350 on live standard 15/10. 1400 on a good day. I feel this is a decent rating, but I made a new years resolution to get to 2000 by Jan 1st, 2014. Is this a reasonable goal? Are there any of you on here that have improved that much in that timeframe? What did you guys do? What should my study plan be? What books/materials would you recommend?
I feel like the opening is my weakest point. I usually end up playing 1. d4 for queen's gambit or the sicilian if black but I don't really know the openings very deeply.
Are there openings you guys would suggest studying as white/black that are tactical in nature? What's the difference between the positional/tactical openings?
Thanks for the advice guys!!