You can see global methods in the managed package classes via Web UI. I have hundreds of managed package API classes that I need to search through by a keyword, to find a method that does what I need (or to know if there is even one like that).
Normally I run a full-text search of the Salesforce project in the IDE when I need to find something, but this does not work with managed classes, as their code in IDE is completely hidden, it's not even importing the global method definitions.
Any advice? I really would rather not spend hours opening each API class manually in the web UI whenever I need to find something.