It seems to me that a syllabus gives the schedule of readings or lectures in a course of study, whereas a course outline provides the lecturer contact information, course description, assignments, textbook/reading list, policies, etc. I've had a professor for two years who was very adamant that a distinction be made between the two.
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A syllabus - is a list of topics to be covered over the course of the academic year. A textbook - is simply an information source relevant to the subject being studied.
"Syllabi" is the plural form of "syllabus." A syllabus is an outline or summary of topics covered in a course. Syllabi are multiple syllabus documents for different courses or sections.