The 3 month Quality Center syllabus covers topics related to test management using HP Quality Center including requirement creation, test planning, test case creation, test execution, defect reporting, and more. The course will provide conceptual explanations, presentations, practical examples, hands-on exercises, and cover topics like managing releases, requirements, test plans, test sets, defects, and reports. The goal is to teach students how to use Quality Center for manual and automated testing as well as defect tracking and test management.