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These two constructors
 public as2q1class(String thestudent_name, int theassign_one, int
theassign_two, int thetest_one, int thetest_two)
 public void set(String newstudent_name, int newassign_one, int
newassign_two, int newtest_one, int newtest_two)

Are identical. Why do you have two? The names that you call the variables
don't matter, only the types do.

How does constructing a student from a "student name" differ from
constructing one from a "new student name"?

---------------------------
If there is a genuine difference, then you need a constructor like this:
public as2q1class(String thestudent_name, int theassign_one, int
theassign_two, int thetest_one, int thetest_two, boolean isNewStudent)
{
    if(isnewStudent) {
        Do new student construction
    }
    else {
        Do old student construction
    }
}

---------------------------
If a new student is identical to an old student but with some extras, you
can do this

public as2q1class(String thestudent_name, int theassign_one, int
theassign_two, int thetest_one, int thetest_two) {
    do  old student constriuction
}

public as2q1class(String newstudent_name, int newassign_one, int
newassign_two, int newtest_one, int newtest_two, boolean isNewStudent) {
    // call oldstudent constructor
    this(newstudent_name, newassign_one, newassign_two, newtest_one,
newtest_two);
    if(isNewStudent) {
        Do extra stuff for new students
    }
}
---------------------------

These are also Identical.

 public void set(int newassign_one)  {   assign_one = newaswign_one;  }

 public void set(int newassign_two)  {   assign_two = newassign_two;  }

Lets put it this way. Take this bit of code:

    as2q1class z = new as2q1class("Dave");
    z.set(3);

When I call set, how is the class supposed to know whether I am trying to
set assign_one or assign_two?

Repeat after me: "In overloading, the names of the *parameters* don't
count" - only the name of the method and the types of the parameters. The
names of the parameters are just things internal to the method - the caller
of a method does not pass names of parameters, it only passes their values.
BTW: the return type doesn't count either.

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