1. Course page improvements

Add content
Quickly create content 

Click to add an activity or resource anywhere on the course page.

Source: https://docs.moodle.org/402/en/New_for_teachers
Teacher indent
Easily indent items

move items once to the right, with this being reflected in the course index too. 

Source: https://docs.moodle.org/402/en/New_for_teachers
Duplicate sections and Permalink
Better section options

Duplicate sections and benefit from useful permalinks.

Source: https://docs.moodle.org/402/en/New_for_teachers
Activity names
Activity names 

Activity names now only display when edit mode is on.

Source: https://docs.moodle.org/402/en/New_for_teachers
Smaller icons
Smaller icons and dropdown menus

Smaller icons and access completion conditions from a dropdown menu and edit links to directly access settings.

Source: https://docs.moodle.org/403/en/New_for_teachers
Availability More
New Availability setting

From 'More' a new setting allows easy editing of availability options.

Source: https://docs.moodle.org/403/en/New_for_teachers