A syllabus is a document that outlines everything that will be covered in a class. A syllabus for World Domination 101 might include: strategies for brainwashing the masses, creating an army on a budget, cultivating absolute certainty, and so on.
The noun syllabus comes from the Late Latin word syllabus, meaning “list.” When you teach a class you may be required to make an outline of what you will expect the students to do in your class. That’s the syllabus. A syllabus could vaguely mention the topics that will be covered each week or it can be a detailed synopsis of every reading assignment, homework expectation, and exam question. Syllabus style is the teacher’s choice.