1.  Write a function called first_last that takes two strings as
parameters and returns true if the two strings begin and end with
the same character as each other, otherwise false.  For example,
if the strings are "car" and "computer", it should return true.

2.  Write a function called pass_fail that takes an input stream and two
output streams as parameters.  Each streams will be already associated 
with a file.  Every line in the input file will contain the first name, the
last name, and the grade of a student.  The function should go through the 
input file and copy the first and last name of all passing students to
the first output file, and the first and last name of all failing students
to the second output file. The passing grade is 60.   

3.  Part A of this question will tell you to write a class.  In that class
you should include the prototypes for the member functions in the other
parts of the question.  Some parts of this question will need functions
from previous parts.  You must figure out when that is needed.

3A.  Create a class called course, which has four private data members:
the course number (example: CS141), the professor of the course (example:
Lynch), the number of students in the course (example: 50), and the number
of students that the classroom can hold (example: 120).  Note that the
course number is not actually a number, since it contains letters.

3B. Write a member function of course called get_professor, which takes a
string as parameter. The function will put the name of the professor into
the string passed as parameter.   

3C.  Write a member function of course called match_course, which takes a
course number as paramter.  The function will return true if that parameter
is the course number of this course, otherwise false.

3D.  Write a member function of course called extra_space, which returns
how many more students can fit in the classroom for the course.

3E.  Write a nonmember function called full which takes a course as
parameter and returns true if that class can fit no more students,
otherwise false. 

4.  Part A of this question will tell you to write a class.  In that class
you should include the prototypes for the member functions in the other
parts of the question.  Some parts of this question will need functions
from previous parts of the question, and some will also need functions
from the previous question.  You must figure out when that is needed.

4A.  Create a class called student, which has private data members
containing the first and last name of the student, the number of courses
that the student is taking, and an array of all the courses the student is 
taking.  

4B.  Write a member function of student, called withdraw, which removes
the student from all courses.

4C.  Write a member function of student called has_professor, which takes
the name of a professor as parameter, and returns true if the student is
taking a class with that professor.

4D.  Write a member function of student called both_in, which takes
another student and a course number as parameter.  The function should
return true if both sudents are in the course with that number, otherwise
false.  

4E.  Write a member function of student called all_full, which returns
true if all the courses the student is taking are full.  [Please use the
full function from the previous question.]

4F. Write a nonmember function called both_have_prof, which takes two 
students and the name of a professor as parameters.  The function should
return true if both students are taking a class with that professor,
otherwise false.