Prince William looks glum as he arrives in Cambridge with overnight bag It was an almost identical outfit to the one he was wearing two weeks ago when he was spotted boarding the train home from Cambridge for his wife's 32nd birthday. But this time his small black rucksack was replaced by the much larger black bag. The Duke is on an intensive 10-week course at the university, organised by the Cambridge Programme for Sustainability Leadership. The course is designed to equip him for running the Duchy of Cornwall estate which he will inherit from his father. He has 18 to 20 hours of lectures, as well as essays and field trips, and is expected to live in private accommodation in the city part time. The course will run until mid-March and be funded privately by the Royal Family. As soon as the Duke finishes his course he will be joined by his wife and son on a month-long tour of Australia and New Zealand. The Duke gave up his operational career as an RAF Search and Rescue helicopter pilot in September and announced he would be taking a "transitional year" while pondering a future public service role for himself outside his normal royal duties.