Look for your course from the 'Courses' tab. When you find your course, tap the course name to open the 'Course Profile'. Tap 'Start Round' button to open the 'Round Setup' screen.
On the Round Setup Screen tap the ‘Download Map’ button to sync it.
It may take some time depending on the connection speed. Once done, tap 'Start Round'.
Note: You should delete and download your course again from time to time. This way you'll always have access to an updated course version.