Here is a sample letter for applying for an on job position.

Name
Street Address
City, State, Zip

Date: MM/DD/YYYY

Dear Mr. Jones,

I am seeking a position in your engineering department where I may use my training in computer sciences to solve Taylor's engineering problems. I expect to receive a Bachelor of Science degree in Engineering from North Carolina State University in June. Since September 2000, I have been participating, through the University, in the Professional Training Program at Computer Systems International in Raleigh. In the program I was assigned to several staff sections as an apprentice. Most recently, I have been a programmer trainee in the Engineering Department and have gained a great deal of experience in computer applications. Details of the academic courses I have taken are included in the enclosed resume.
If there is a position open at Taylor Inc., please let me know whom I should contact for further information. I look forward to hearing from you soon.
Sincerely,