Prueba esto:
SELECT A.month,
SUM(CASE WHEN A.department = 'Physics' AND A.property = 'undergraduate' THEN A.total_no_students ELSE 0 END) AS Physics_undergraduate,
SUM(CASE WHEN A.department = 'Physics' AND A.property = 'postgraduate' THEN A.total_no_students ELSE 0 END) AS Physics_postgraduate,
SUM(CASE WHEN A.department = 'Architecture' AND A.property = 'undergraduate' THEN A.total_no_students ELSE 0 END) AS Architecture_undergraduate,
SUM(CASE WHEN A.department = 'Architecture' AND A.property = 'postgraduate' THEN A.total_no_students ELSE 0 END) AS Architecture_postgraduate,
SUM(CASE WHEN A.department = 'Biology' AND A.property = 'undergraduate' THEN A.total_no_students ELSE 0 END) AS Biology_undergraduate,
SUM(CASE WHEN A.department = 'Biology' AND A.property = 'postgraduate' THEN A.total_no_students ELSE 0 END) AS Biology_postgraduate
FROM (...Your Existing Query...) AS A
GROUP BY A.month