Take a look at this as well, I found it pretty handy when I was digging around for good maths texts: http://www.ocf.berkeley.edu/~abhishek/chicmath.htm
I still use them fairly often so I can't sell them sorry :/
Get baby rudin or apostol from the library and study those, they'll teach you everything in 2962 and more.
For a person who hasn't taken either subject I think that algebra would definitely be harder.
However, analysis does a pretty good job of teaching you how to handle the rigor and other difficulties of more advanced maths, making the experience of learning the two subjects about equal in terms...
Nothing much. Just microwaved some apple/cinnamon bread and I'm about to read a bit more before going back to bed.
Oh, and I thought of two awkward stories I was going to tell you at the meet but I guess they'll have to wait until next time. One's super creepy while the other has an ending...