Q:

How do I compile and run a program in Java on my Mac? 

How do I compile and run a program in Java on my mac?  
I'm new. 
Also I downloaded a program that was suggested to me on here called text wrangler if that has any bearing on the situation.  

A:

Compiling and running a Java application on Mac OSX, or any major operating system, is very easy.  Apple includes a fully-functional Java runtime and development environment out-of-the-box with OSX, so all you have to do is write a Java program and use the built-in tools to compile and run it. 
Writing Your First Program
The first step is writing a simple Java program.  Open up a text editor (the built-in TextEdit app works fine), type in the following code, and save the file as "HelloWorld.java" in your home directory. 
public class HelloWorld {
    public static void main(String args[]) {
        System.out.println("Hello World!"); 
    }
}

For example, if your username is David, save it as "/Users/David/HelloWorld.java".  This simple program declares a single class called HelloWorld, with a single method called main.  The main method is special in Java, because it is the method the Java runtime will attempt to call when you tell it to execute your program.  Think of it as a starting point for your program.  The System.out.println() method will print a line of text to the screen, "Hello World!"  in this example. 
Using the Compiler
Now that you have written a simple Java program, you need to compile it.  Run the Terminal app, which is located in "Applications/Utilities/Terminal.app".  Type the following commands into the terminal:
cd ~
javac HelloWorld.java

You just compiled your first Java application, albeit a simple one, on OSX.  The process of compiling will produce a single file, called "HelloWorld.class".  This file contains Java byte codes, which are the instructions that the Java Virtual Machine understands. 
Running Your Program
To run the program, type the following command in the terminal. 
java HelloWorld

This command will start a Java Virtual Machine and attempt to load the class called HelloWorld.  Once it loads that class, it will execute the main method I mentioned earlier.  You should see "Hello World!"  printed in the terminal window.  That's all there is to it. 
As a side note, TextWrangler is just a text editor for OSX and has no bearing on this situation.  You can use it as your text editor in this example, but it is certainly not necessary. 

A:

I will give you steps to writing and compiling code. 
Use this example:
 public class Paycheck {
    public static void main(String args[]) {
        double amountInAccount;
        amountInAccount = 128.57;
        System.out.print("You earned $");
        System.out.print(amountInAccount);
        System.out.println(" at work today."); 
    }
}

Save the code as Paycheck.java
Go to terminal and type cd Desktop
Type javac Paycheck.java
Type java Paycheck
Enjoy your program! 

A:

Download and install Eclipse, and you're good to go. 
http://www.eclipse.org/downloads/
Apple provides its own version of Java, so make sure it's up-to-date. 
http://developer.apple.com/java/download/

Eclipse is an integrated development environment.  It has many features, but the ones that are relevant for you at this stage is: 

The source code editor

With syntax highlighting, colors and other visual cues
Easy cross-referencing to the documentation to facilitate learning

Compiler

Run the code with one click
Get notified of errors/mistakes as you go

As you gain more experience, you'll start to appreciate the rest of its rich set of features.