I am going to assume you're based in the USA as you mentioned 'college'. The source of the components will be bought from well know major online retailer, Newegg.
CPU: AMD FX-8320 - $160 - This is a 8 core processor which can handle the latest games and graphics card in the market while allowing you to overclock it for more performance when you need it.
Motherboard: Asus M5A97 R2.0 - $94.79 - Basic 970 chipset motherboard that has the basics you will ever need as it does not have the nice bell and whistles but it will get the job done which is serving the purpose of gaming.
RAM: Crucial Baallstix Sport 8GB 1600mhz - $73 - 8GB of ram will serve you well as many games do not exceed that limit and you can easily upgrade to another 8GB ram stick in the future if you need.
Graphics Card: XFX Double D R9-280X - $320 - The graphics card is capable of playing the games you mentioned in the initial post at medium to high settings at 1080p resolution and it is a very quiet card at load when compared to the competition.
SSD: PNY XLR8 Pro 120GB - $70 - This will help with the fast booting and snappiness of the system but remember to only install the operating system and programs only.
HDD: Seagate Barracuda 1TB - $55 - Your games and storage of files like photos, music etc will be stored on this drive as the SSD capacity is not large enough to store these items.
Power Supply: Corsair CX600M - $65 - 600W will allow you to expand in the future like adding more hard drives, upgrading to a higher end graphics card etc and it is modular meaning the cables are detachable, so cable management should be much tidier.
Optical Drive: Asus DRW-24B1ST - $20 - A simple drive optical drive.
Case: Corsair Carbide 200R - $60 - Solid case with plenty of expansion options and also a reasonable amount of cooling options as it include a rear 120mm fan.
Operating System: Microsoft Windows 8.1 64bit OEM - $100 - It has been proven that in general, Windows 8 does perform better in games then Windows 7 and also the tile interface can avoided as by default when you boot up, it will directly go to much loved and known desktop screen.
Total: $1017.79 (Excluding shipping, taxes and rebates)
System1: CPU- Intel Core i7-5820K @ 4.4GHz, CPU Cooler- Noctua NH-D14, RAM- G.Skill Ripjaws 16GB Kit(4Gx4) DDR3 2133MHz, SSD/HDD- Samsung 850 EVO 250GB/Western Digital Caviar Black 1TB/Seagate Barracuada 3TB, GPU- 2x EVGA GTX980 Superclocked @1360/MHz1900MHz, Motherboard- Asus X99 Deluxe, Case- Custom Mac G5, PSU- EVGA P2-1000W, Soundcard- Realtek High Definition Audio, OS- Windows 10 Pro 64-Bit
Games: APB: Reloaded, Hours played: 3100+ System2: Late 2011 Macbook Pro 15inch