No, the calendar cannot be found by searching for it. It appears to be gone for good. There is a Academic Calendar.docx file posted by Becky Jeffers, but it does not have the final exam schedules.
The new "Events calendar" is a poor substitute. Why does everything have to look like a toy?
In addition to finding the calendar in the Academic Catalogs, it helps to know that MSOE's academic calendar revolves around Thanksgiving.
If you want to look ahead three years and know when final exams will be scheduled, you can simply find the calendars that straddle that academic year, let's say, 2016-17. Locate Thanksgiving 2016. That week is the break between fall and winter quarters. The week before that will be finals week for Fall 2016. If you count back 11 weeks from Thanksgiving week, you can find out when the first day of classes will be in Fall 2016.
Then count forward 10 weeks from Thanksgiving week, remembering that we get two weeks off for Christmas and New Year. That takes you through winter quarter. The 11th week will be finals week. The following week would be our break between winter and spring quarters.
Final exams in Spring 2017 will be either 11 or 12 weeks out from that break, depending on where Memorial Day falls. Spring Quarter has to be finished by Memorial Day because summer classes begin the day after. If the calendar allows a break at Easter, then we get the week after Easter Sunday off. If a week off would push Spring Quarter final exams past Memorial Day, though, then we don't get a break.
Maybe it's usually easier to find the Academic Catalog and look the calendar up, but this is how I've always figured out dates when I'm at the dentist's office trying to schedule appointments months into the future.