Q. Is there a way to find databases by academic subject or my field of study?

Yes, from the Libraries home page
click the Databases tab on the U of M Libraries search box:

then click "All Databases"

This will take you to the Libraries' Databases page
where you can search for databases by academic area:

Select an academic area from the dropdown, then click "Submit"
to view recommended databases for your subject area.

You can also click on "Browse all database subjects"

 to view specific topics covered by databases:

Clicking on a topic will link you to a list of databases that cover this specific topic.
So, clicking on Biotechnology will show you a list of 27 databases in which you can
search for information about Biotechnology: