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We report on theoretical courses by Fermi and Majorana, giving evidence ofthe first appearance and further development of Quantum Mechanics teaching inItaly. On the basis of original documents, we make a comparison between Fermi'sand Majorana's approaches. A detailed analysis is carried out of Fermi's courseon Theoretical Physics attended by Majorana in 1927-28. Three (previouslyunknown) programs on advanced Physics courses submitted by Majorana to theUniversity of Rome between 1933 and 1936 and the course he held in Naples in1938 complete our analysis: Fermi's phenomenological approach resounded inMajorana, who however combined it with a deeper theoretical approach, closer tothe modern way of presenting Quantum Mechanics.Comment: latex, 21 pages; a contribution in the centenary of the birth of  Ettore Majoran

Teaching theoretical physics: The cases of Enrico Fermi and Ettore Majorana