I'm writing a letter and I wonder if the sentence below is fully correct.
"I am eager to apply to the MSc Program for fall 2014 at Oxford University under your supervision"
You apply to a university.
You apply for a course at a university.
You apply to a company for a job.
You apply for a job at a company.
Remember - if you don't use correct capitalisation, punctuation and spacing, anything you write will be incorrect.