lay down = establish?
Course and order = ?
When I have taken the liberty of addressing you on the course and order of your studies, I never proposed to enter into a minute detail of the art. This I have always left to the several professors, who pursue the end of our institution with the highest honour to themselves, and with the greatest advantage to the students.
lay down = establish, proclaim.
Course and order = plan and organization.
work toward the goals, try to achieve the goals/aims Emotion: smile
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I didnt' get "pursue the end"... End should be aim?
 CalifJim's reply was promoted to an answer.
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