What does it mean if the Judge makes a reserved decision and continues the case?
The decision is "reserved" by the judge because more time is needed to study the issues, or the judge requests memoranda from the parties to assist in outlining the issues. Often, a judge will set a schedule for when the fact-finding process in a case must be completed. The fact-finding phase is called discovery. A deposition is one of the discovery methods that may be used. In a deposition, a person gives testimony under oath, typically in a lawyer’s office. The testimony is recorded by a court reporter and a transcript and/or video of the testimony is prepared and may be used as evidence in court.
A "memorandum of law" may be prepared by an attorney to support a legal argument, which is similar to a brief but with less attention to legal writing formalities. It contains legal arguments based upon the lawyer's understanding of the law applicable to the issues and is often supported by citations to legal authority.