Show Taxonomies with admin area for custom post type?

As documented, you can set the show_admin_column argument of register_taxonomy() to true to do this:

‘show_admin_column’
(bool) Whether to display a column for the taxonomy on its post type listing screens. Default false.

For example:

register_taxonomy(
    'subject', // The name of the taxonomy. Name should be in slug form (must not contain capital letters or spaces).
    'courses', // post type name
    array(
        'label'             => 'Subjects', // display name
        'show_admin_column' => true,
        'hierarchical'      => true,
        'query_var'         => true,
        'rewrite'           => array(
            'slug'       => 'subjects', // This controls the base slug that will display before each term
            'with_front' => false, // Don't display the category base before
        ),
    )
);