履修 and 修了: coursework and completing a program
Compare completed required coursework and a planned history course with training completion and the condition for issuing a certificate.
Taking subjects with 履修
履修 (りしゅう) refers to taking prescribed coursework. The example 「卒業までに必要な科目をすべて履修した。」 is translated as “I completed all the courses required for graduation.” すべて履修した reports completion of all the required subjects. Completing that coursework does not separately report graduation itself.
The example 「来学期は歴史の講義を履修する予定です。」 is translated as “I plan to take a history course next semester.” The history course is planned for next semester. 予定 does not report completed coursework or specify a number of credits.
Completing a program with 修了
修了 (しゅうりょう) refers to completing an educational program. The example 「三か月の研修を無事に修了した。」 is translated as “I successfully completed the three-month training program.” Identify the educational program said to be completed. Its scope matters more than a general end to an activity.
The example 「全課程を修了すると、証明書が交付される。」 is translated as “A certificate is issued after completing the full course.” The Japanese と states the condition: a certificate is issued on completing the full program. It does not report that this speaker has already completed it or received the certificate.
Identify the scope of study and completion
履修 concerns taking subjects, while 修了 concerns completion of a program. Subjects may be studied as part of that same program; the expressions do not name wholly unrelated activities.
Separate completed required subjects from the planned history course, and completed three-month training from the certificate condition. Completion, plans, and conditions remain different within this educational topic.
What was completed in the sentence with all required subjects and 履修, and in the three-month training sentence with 修了?
Show the answer and why
The first reports completing all the subjects required for graduation; the second reports completing the three-month training program. Coursework and a program have different scopes. The history course remains a separate plan, and the certificate sentence supplies a completion condition.

