월요일(wol-yo-il, wolyoil)
The first weekday of the week, usually the day after the weekend
When to use
Week start, Day after weekend, First weekday
The nuance
월요일 is the day after the weekend (Saturday and Sunday) and marks the start of the week. Use 월요일 when referring to the first weekday or start of a schedule.
화요일(hwa-yo-il, hwayoil)
The second weekday of the week, the day after Monday
When to use
Second weekday, Day after Monday, Mid-week weekday
The nuance
화요일 is the day after Monday and represents the second weekday. Use 화요일 when referring to the day after Monday, not 월요일 or 수요일.
수요일(su-yo-il, suyoil)
The third weekday of the week, the day after Tuesday
When to use
Third weekday, Day after Tuesday, Mid-week weekday
The nuance
수요일 is the day after Tuesday and the third weekday. Use 수요일 when specifying the day after Tuesday, not 월요일 or 화요일.