Is this a reasonable list for who seek to learn mathematics by "self learning" program? and is it a well sorted list to follow? http://www.math.niu.edu/~rusin/known-math/index/index.html
Our very own Pete Clark, now of the University of Georgia faculty, was once upon a time a very talented undergraduate student at the University of Chicago. Back then, he and several of his fellow U of C honor students compiled a list of their recommended textbooks at various levels and posted it online. It does need to be updated, but I think you'll find it quite helpful. In fact,I've been asking Pete to revise it for a few months now. I hope he'll eventually find the time to do so.
Here it is:
The list you provided is quite concise. Notice however that a reasonable load of classes would be something like 4 per semester so with a 4 year program, you will cover around 32 of the list at best (unless you skip around). That's why you should just cover basic core classes first (real analysis, complex analysis, algebra, ODE/PDE, etc).
MIT Open Courseware will have a broad range of lists that include topics you listed and you can find lists of courses by going to any university mathematics program website and looking at the curriculum requirements (which will usually have a suggested program).