General Instructions:
Your classes should have main method that automatically executes the program (obviously)
Your classes should be named after the exercise name: Program1, Program2, …

Exercise Name: Program1

Write a Java application which reads bytes from the keyboard until encountering the # character. Echo each character to the screen as it is read. Terminate the program when the user enters the # character.

Exercise Name: Program2

Write a Java application that puts the following prompt on the screen:

Enter some text, terminate with #

Then it echoes each character that you enter.
When you press the Enter key. However, it doesn’t echo the # character.
When you enter the # character, the program terminates and displays your name.

Answer the following question on a separate sheet of paper:
Does your program insert extra blank lines? If so, can you explain why?

Exercise Name: Program3

Write a java application that wraps the value 3.14 in a Double object, and then displays two times the value using the doubleValue() method of the object.
Also have the application create a primitive double variable containing 3.14 and display twice the value contained in the variable without using a wrapper.
Provide appropriate text in the output. Also display your name on the screen along with a terminating message.

Exercise Name: Program4

Write a Java application that illustrates the use of member variables, local variables, and method parameters.
Make all of them type double.
Illustrate two different member variables: a class variable and instance variable.
Display each of them along with appropriate text, and also display a terminating message along with your name.

Exercise Name: Program5

Write a Java application that clearly illustrates the difference between the prefix and the postfix versions of the increment operator.
Provide a termination message that displays your name.

Exercise Name: Program6

Write a Java application that illustrates the use of the following relational operators: < > <= >= == !=
Provide appropriate text in the output. Also provide a termination message with your name.

Exercise Name: Program7

Write a Java application that illustrates the use of the following logical or conditional operators: && || !
Provide appropriate text in the output. Also provide a termination message with your name.

Exercise Name: Program8

Write a Java application that increments a counter from 1 to 10 and prints to the screen the successive values of the variable representing the counter.
Use a for-loop to iterate.
Provide appropriate text in the output. Also provide a termination message with your name.

Exercise Name: Program9

Write a Java application that increments a counter from 1 to 10 and prints to the screen the successive values of the variable representing the counter.
Use a while-loop to iterate.
Provide appropriate text in the output. Also provide a termination message with your name.

Exercise Name: Program10

Write a Java application that increments a counter from 1 to 10 and prints to the screen the successive values of the variable representing the counter.
Use a do-while-loop to iterate.
Provide appropriate text in the output. Also provide a termination message with your name.

In this assignment you will program a Java version of a simple toy of a decade ago: Simon. In case you don’t recall, Simon consists of a number of buttons of different colors. The machine flashes the buttons in some random order (it also plays a note associated with each color, but we will ignore this feature for now). The player then recreates the sequence by pushing the buttons in the proper order. The sequences grow in length whenever the player succeeds, and the game stops when the player is unable to replay the whole pattern.
In our simplified version, we will use 4 buttons and a separate panel to display the sequence. When the machine displays a sequence, it changes the colors of the panel accordingly. Then it waits for input from the user, records the buttons that the user pressed, and compares them with the sequence it just played. If the sequence matches, the game continues with a longer sequence. If the sequence doesn’t match, the program indicates the length of the longest successful sequence, and asks the user whether it wants to play again.

We discussed in class the problem of writing a general-purpose integration routine in Java. In this assignment you will complete the sketch we outlined, and add some graphic frills to it.

We want to define a class Integrators that exports several integration methods. For this assignment you only have to write one, the simplest one: Simpson’s method. This method reduces the problem of computing the area under a function f (x) between a and b to the sum of the areas of vertical strips of equal width dx. The area is given by the formula:

[(f(a) + f(b)) / 2 + Sum (f (a + n*dx)) ] * dx, for n = 1, 2,.. (b-a)/dx-1

The precision of the method depends on the choice of dx. Taking 1000 steps will be good enough for this exercise, so choose dx = (b-a) / 1000, but feel free to experiment.

a) The integration method takes three parameters: an interface type and two doubles that specify the bounds. You want to define the interface type so it is easy to create an instance of it for any function you want. For example you can test your integration routine with the trigonometric Math.sin and verify that its integral from 0 to pi equals 2 (you can expect some roundoff errors depending on the number of steps you use).

b) The interface type (let’s call it Evaluator, in analogy to the Comparator interface we have used to sort) can also be used with a function that you write explicitly. For example, you should verify that the integral of 1 / (1 + x*x) between 0 and 1 is (about) pi/4.

c) Find a reasonable way of handling functions such as 1/(1-x) when integrated between -2 and 2.

In the next assignment, we will add a graphical component to this program, and display a graph of the function that is being integrated.