You can filter the view for tasks by different due dates in the task center
Click on the task center icon ().
Click on the Due Date filter dropdown menu and select the filter you would like to view the tasks by.
Tasks that do not have a due date will appear under different filter views.
All Due Dates: Every open task appears with or without a due date
Past Due Dates: Past due tasks OR tasks without a due date
Due Today: Past due tasks, due today tasks, OR tasks without a due date
No Due Date: Tasks with no due date listed
Additionally, you can also apply other filters like Assignee and Priority. Once you have your desired filters applied, you can go through your tasks.