Classwork:

Write a short program to understand how the Math.random() method works.
NOTE: double r = Math.random();

Resources for some of these assignments:

[spoiler title=’Math.random()’]

/**
 * An itty bitty program to learn about Math.random()
 * GE
 * 9/28/2017
 * 
 */
public class MathRandTest_GE
{
   public static void main(String []args)
   {
       for (int i = 0; i < 100; i++)
        {
            System.out.println(Math.random());
        }

    }
}

[/spoiler]

Be original and create your own "random" program, MyOriginalRand_YI.java using Math.random().

[spoiler title='Scanner Class']

/**
 *  good resource: http://docs.oracle.com/javase/tutorial/essential/io/scanning.html
 * @author gracielaelia
 * Problem: Both hasNext and next methods may block waiting for further input.
 * hasNext() doesn't return false ever!!!! next() blocks until something is input!
 * As you're reading from stdin, that'll either be when you send an EOF character (usually ^d on Unix), 
 * or at the end of the file if you use < style redirection.
 * You cannot easily send and EOF character using the keyboard"
 * -- usually Ctrl+D on Linux/Unix/Mac 
 * or Ctrl+Z on Windows does it
 */   
import java.util.Scanner;

public class ScannerTest_GE{
    public static void main(String [] args)
    {
        Scanner scan = new Scanner(System.in);
        String name;     // just a declaration
        double base, exponent;
        System.out.println("Enter the base ");
        base = scan.nextDouble();
        System.out.println("Enter the exponent ");
        exponent = scan.nextDouble();
        System.out.println("Enter your name ");
        name = scan.next();
        System.out.println(name + " the value is " + Math.pow(base,exponent));
        System.out.println(name + " the integer value is " + (int)Math.pow(base,exponent));
    }
  
} 

[/spoiler]

Be original and create your own test program, MyOriginalScanner_YI.java using the Scanner class to prompt the user for input to do "something original".

Classwork:

Random Number Generator

Loan payments. Write a program, LoanPayments_YI.java
that calculates the monthly payments you would have to make over a given number of years to pay off a loan at a given interest rate compounded continuously, taking the number of years t, the principal P, and the annual interest rate r as command-line arguments. The desired value is given by the formula Pe^(rt). Use Math.exp().

Built-in Ex 7 and 8:

7a. Write a program that uses Math.sin() and Math.cos() to check that the value of sin^2(θ) + cos^2(θ) is approximately 1 for any θ entered as a command-line argument. Just print the value. Why are the values not always exactly 1?

7b. Suppose that a and b are boolean values. Simplify the following expression: (!(a && b))

1. The exclusive or operator ^ for boolean operands is defined to be true if they are different, false if they are the same. Give a truth table for this function