What the hey, I'm in a guessing mood, and I'm guessing these terms are words a non-English speaker has used to distinguish two "kinds" of interfaces.
I bet a "non-methodical" interface is one that contains no method declarataions, e.g., java.io.Serializable and java.rmi.Remote. These are more conventionally called tagging or marker interfaces. Their purpose is to tell the VM to treat the implementing classes in a privileged way.
A "methodical" interface would just be interfaces that declare one or more methods.
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Michael Ernest, co-author of:
The Complete Java 2 Certification Study Guide