I am looking at an independent study next semester and I want to do something with point-set topology and analysis, so I have been looking at the book Introduction to Topology and Modern Analysis by Simmons, which I have heard good things about. For a little background I am currently taking Advanced Calculus and we are using Terrence Tao's Analysis I book, so I know a little analysis, but we are doing everything in the real line, nothing in metric/topological spaces. The question I must ask is how much should I try to cover in a 16-week semester? I am thinking the first 7 chapters [Sets and Functions, Metric Spaces, Topological Spaces, Compactness, Separation, Connectedness, Approximation] (the entire section on Topology) would be plenty (I could probably cover the first chapter before the semester begins since it will be nearly all review). For those who have gone through the book, or know of it, does this seem like a good amount for a 16-week course? Either way, what would you suggest? Thanks.