The board is authorized to enter into any agreements which may be necessary to enable the university to award degrees in medicine in conjunction with such other universities and medical colleges, and to that end may direct the expenditure outside the state of any university funds available to the college of medicine.
No student shall be eligible to take the courses which may be established under the provisions of this section unless he (1) has been a bona fide resident of this state at least five years, (2) has completed the medical course provided at the university, and (3) has been chosen for the purpose by the president and faculty of the college of medicine at the university.