How do I know if my instructor received my assignment?

Typically, instructors will use the Assignment feature if you're supposed to turn in a document. If you haven't submitted it yet, it will look like figure 1 below on your course page. Note that the due date will only appear if your instructor has set one. 

After you have submitted the assignment, your view will change to look like figure 2 below. The date in the green box reflects the date that you submitted the assignment. Your instructor will be able to see the date and time that your assignment was submitted. You can edit or resubmit your assignment (if the instructor allows) by clicking the assignment name again. The date will update to reflect the new submission.