Just a quick refference for the SCOM 2012 powershell cmdlets. The same information is available within the SCOM shell.
Technet detailed help is a site with detailed help for each cmdlet, including examples.
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OPERATIONS MANAGER 2012 MODULE NAME
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Operations Manager 2007 snap-in
Microsoft.EnterpriseManagement.OperationsManager.Client
Operations Manager 2012 module
OM10
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NEW OPERATIONS MANAGER 2012 CMDLETS
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Enable-SCOMAgentProxy
Disable-SCOMAgentProxy
Enable-SCOMDiscovery
Disable-SCOMDiscovery
Set-SCOMManagementGroupConnection
Enable-SCOMMonitor
Disable-SCOMMonitor
Enable-SCOMMonitoringRule
Disable-SCOMMonitoringRule
Get-SCOMRunAsProfile
Update-SCOMRunAsProfile
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RENAMED CMDLETS
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Operations Manager 2007 Name Operations Manager 2012 Name
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Get-Agent Get-SCOMAgent
Install-Agent Install-SCOMAgent
Uninstall-Agent Uninstall-SCOMAgent
Approve-AgentPendingAction Approve-SCOMPendingManagement
Get-AgentPendingAction Get-SCOMPendingManagement
Reject-AgentPendingAction Deny-SCOMPendingManagement
Get-Alert Get-SCOMAlert
Resolve-Alert Set-SCOMAlert
Set-AlertDestination Set-SCOMAlert
Get-AlertHistory Get-SCOMAlertHistory
Get-Connector Get-SCOMConnector
Get-Diagnostic Get-SCOMDiagnostic
Remove-DisabledMonitoringObject Remove-SCOMDisabledClassInstance
Get-Discovery Get-SCOMDiscovery
Get-Event Get-SCOMEvent
Get-FailoverManagementServer Get-SCOMAgentManagementServerSetting
Get-GatewayManagementServer Get-SCOMGatewayManagementServer
Get-MaintenanceWindow Get-SCOMMaintenanceMode
New-MaintenanceWindow Start-SCOMMaintenanceMode
Set-MaintenanceWindow Update-SCOMMaintenanceMode
Get-ManagementGroupConnection Get-SCOMManagementGroupConnection
New-ManagementGroupConnection New-SCOMManagementGroupConnection
Remove-ManagementGroupConnection Remove-SCOMManagementGroupConnection
Export-ManagementPack Export-SCOMManagementPack
Get-ManagementPack Get-SCOMManagementPack
Install-ManagementPack Import-SCOMManagementPack
Uninstall-ManagementPack Remove-SCOMManagementPack
Get-ManagementServer Get-SCOMManagementServer
Set-ManagementServer Set-SCOMAgentManagementServerSetting
Set-ManagementServer Set-SCOMAgentManagementServerSetting
Get-Monitor Get-SCOMMonitor
Get-MonitorHierarchy Get-SCOMMonitor
Get-MonitoringClass Get-SCOMClass
Get-MonitoringObject Get-SCOMClassInstance
Get-MonitoringObjectGroup Get-SCOMGroup
Get-NotificationAction Get-SCOMNotificationAction
Get-NotificationEndpoint Get-SCOMNotificationEndpoint
Get-NotificationRecipient Get-SCOMNotificationRecipient
Disable-NotificationSubscription Disable-SCOMNotificationSubscription
Enable-NotificationSubscription Enable-SCOMNotificationSubscription
Get-NotificationSubscription Get-SCOMNotificationSubscription
Get-Override Get-SCOMOverride
Get-PrimaryManagementServer Get-SCOMAgentManagementServerSetting
Set-ProxyAgent Set-SCOMAgentlessManagedComputer
Get-Recovery Get-SCOMRecovery
Get-RelationshipClass Get-SCOMRelationship
Get-RelationshipObject Get-SCOMRelationshipInstance
Add-RemotelyManagedComputer Add-SCOMAgentlessManagedComputer
Get-RemotelyManagedComputer Get-SCOMAgentlessManagedComputer
Remove-RemotelyManagedComputer Remove-SCOMAgentlessManagedComputer
Get-ResultantCategoryOverride Get-SCOMOverride
Get-ResultantRuleOverride Get-SCOMOverride
Get-ResultantUnitMonitorOverride Get-SCOMOverride
Get-Rule Get-SCOMMonitoringRule
Get-RunAsAccount Get-SCOMRunAsAccount
Get-Task Get-SCOMTask
Start-Task Start-SCOMTask
Get-TaskResult Get-SCOMTaskResult
Get-UserRole Get-SCOMUserRole
Add-UserToUserRole Update-SCOMUserRole
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DEPRECATED OPERATIONS MANAGER 2007 CMDLETS
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Install-AgentByName
Get-AlertDestination
Remove-ConnectorFromTier
Add-ConnectorToTier
New-CustomMonitoringObject
Get-DefaultSetting
Set-DefaultSetting
New-DeviceDiscoveryConfiguration
Get-Diagnostic
Start-Discovery
New-LdapQueryDiscoveryCriteria
Get-MonitoringClassProperty
Get-MonitoringObjectPath
Get-MonitoringObjectProperty
New-MonitoringPropertyValuePair
Get-NotificationAction
Get-NotificationEndpoint
Get-NotificationRecipient
Disable-NotificationSubscription
Enable-NotificationSubscription
Get-NotificationSubscription
Get-OperationsManagerCommand
Get-PerformanceCounter
Get-PerformanceCounterValue
Get-Recovery
Add-RemotelyManagedDevice
Get-RemotelyManagedDevice
Remove-RemotelyManagedDevice
Get-RootManagementServer
Disable-Rule
Enable-Rule
Get-State
Get-Tier
New-Tier
Remove-Tier
New-WindowsDiscoveryConfiguration