Homework Assignment 4

Instructions: You must use the names listed below for each program. 

This homework will count towards your grade. It is very important that 
you follow the instructions very carefully. 

Problems: There are 2 problems in this assignment:

     Problem 100: Write a simple INTEGER calculator for +, -, *, and /
      It should, for example,  
           print on the screen "18" if 3 * 6 is entered by the user,
           print on the screen "2 with a remainder of 3" if 11 / 4 is 
           entered by the user, print on the screen  "2" if 8 - 6 is 
           entered by the user, print on the screen  "-2 with a remainder -3" 
           if -11 / 4 is entered by the user, etc.

      You may assume that the user will enter data like this:
      an integer, some space, an arithmetic operation, some more 
      space and another integer.  Of course users may enter integers 
      of their choosing. 
  
     Problem 200: Write a program to compute a root of the equation
                       x^2 = cos(x)
      using Newton's method. (Consult your Calculus book if you forgot
      Newton's formula.)  It should 
          ask the user for an initial approximation between 0 and 1, 
          stop the loop when |x^2 - cos(x)| is less than 1e-5, (remember
          1e-5 means 10^{-5}) and print the root.

To submit your assignment, type 20210submit. Be sure your files are in 
the hw4 directory in your acms20210hw directory. These exercises should 
be named in the following way before submission:

         FILES: ex3-100.cpp ex3-200.cpp 
         DUE: Friday Feb 25, 2011 at 08:00am 

A sample code which uses the cin.eof( ) can be found in
http://www.nd.edu/~yzhang10/20210/codes/Chapter3_2011/chapter3_6.cpp

The homework assignment folder will be locked after the deadline and you 
will not be able to submit your homework after then. You may re-submit 
your homework at any time before the deadline: the old files will be 
replaced by the new files. 

!!! You should try hard to make your program compile. You will not receive 
a perfect score if your program fails to compile!!! Finally, use 
20210submitted to check that the homework is correctly submitted. 

After the homework is graded, you can check your grades. To check your score, 
type 20210score. To see the graders comments, 
type 20210hw.  To see the answers for this assignment follow the link 
anytime after it becomes available. If you wish 
you can copy it, compile it and run it. 

We do not have paper-written problems this time.