Final answer:
IT Asset Management is the core ITSM application that is not included in CSM, as it deals with managing IT asset lifecycles rather than customer service functions.
Step-by-step explanation:
The core ITSM application that is NOT a part of CSM (Customer Service Management) is the IT Asset Management application. ITSM, or IT Service Management, encompasses a range of applications designed to manage the provisioning of IT services. CSM focuses on tools for customer service including incident, problem, change management, and service requests. However, IT Asset Management, which is typically part of the ITSM suite, deals with managing the lifecycle of IT assets and is not directly involved with customer service functions.