Automatically Increasing Array Size?

I'm working on an assignment that says the following.

" The array size is fixed in Listing 10.6. Improve it to automatically increase the array size by creating a new larger array and copying the contents of the current array to it.Implement the dropStudent method.Add a new method named clear() that removes all students from the course.

Write a test program that creates a course, adds three students, removes one, and displays the students in the course."

10.6 Listing

public class Course {
private String courseName;
private String[] students = new String[100];
private int numberOfStudents;
 } 
public Course(String courseName) {
this.courseName= courseName;

[Code]...

My Test Code based off of book

public static void main(String[] args) {
Course course1= new Course("Business");
course1.addStudent("Jay");
course1.addStudent("Silent Bob");
course1.addStudent("Dante");
course1.dropStudent("Jay");
 
[Code]....

My adjusted 10.6

public class Course {
private String courseName;
private String[] students = new String[100];
private int numberOfStudents;
 } 
public Course(String courseName) {
this.courseName= courseName;

[Code]...

The problem I'm having is, for the first part of the question where I need to automatically increase the array size. I'm really not great at this stuff. I have tried breaking it down, but can't "get it", I guess.

I assume, it'd be a loop that checks to see if the student array is full and if so, do the increaseArray() part, by maybe multiplying the student array and then assigning it. I just don't know how to do it haha.

My *best* attempt at the loop so far has been

if (students == students.length){
int bigArray = 2*students.length;
String increaseArray()= new String[students];
System.arraycopy(students, 0, increaseArray, 0, students.length);
students= increaseArray;

but,yeah... Doesn't seem to be right.