I have been doing SEO for the University I work at. We are optimizing our degree pages on a page-by-page basis. So hypothetically we have a page optimized for "online accounting degree" and another for "online marketing degree", etc. Although our focus is on specific page optimization, we hope the by-product is that the whole domain will start to rank better for "online degree".
First of all, is this a reasonable expectation?
Second, if this IS the case, will pages full of irrelevant keywords hurt the overall strategy? For example, our registrar and financial aid PDFs that are full of legal/financial mumbo-jumbo. Are these lowering our keyword density of relevant keywords across the domain?