I am a applied math major, and very much want to enter graduate school for applied math. I spent my freshman year of undergrad at a very highly ranked (top 10 or 15 depending on ranking) university, with an equally good applied math program. I unfortunately had to transfer out due to financial circumstances, and I am now attending a large state school, although it is research 1 and has an equally ranked (top 10/15) applied math program.
At this new institution I will be able to concurrently get a BS and MS in applied math with a minor in computer science, which is more than I would have been able to achieve at the original institution I was attending. With that said, I am worried that upon my transfer to a generally lower ranked university I severely damaged my chances of getting into a good graduate school for applied math.
Is it generally the case that graduate school admissions committees will give more attention to applicants applying from better institutions? The applied math program I am currently in at the state school sends students to grad schools in the ivy league every year (and as mentioned is highly ranked), however I am wondering if it is significantly more difficult to gain acceptance into such grad schools coming from a generally lower ranked school.