Description
Problem 1. Implement your own ‘mymath’ module. [60 points]
In this exercise, you are going to create and use your own math module ‘mymath’, which supports
six functions – add, subtract, multiply, divide, isPrime and factorial.
Your mymath.py file should have the definitions of the following six functions:
(i) add() –
Formal parameters: num1, num2
Return value: Sum of num1 and num2
(ii) subtract() –
Formal parameters: num1, num2
Return value: Difference of num1 and num2
(iii) multiply() –
Formal parameters: num1, num2
Return value: Product of num1 and num2
(iv) divide() –
Formal parameters: num1, num2
Return value: Division of num1 and num2
(v) isPrime() –
Formal parameter: num
Return value (Boolean): True if num is prime, False otherwise
[Your code should evaluate correctly for all non-negative integers]
(vi) factorial() –
Formal parameter: num
Return value: Factorial value of num
[Your code should evaluate correctly for all non-negative integers]
Now that you have implemented your module, it is time to test if it works correctly. Create a new
python script testmymath.py. In this script do the following:
(i) Import the module you just created.
(ii) Input two numbers from the user and save them in variables x and y.
(iii) Call add() with x and y as arguments (actual parameters) and save the returned
value in variable resAdd. Print the value of resAdd.
(iv) Call subtract() with x and y as arguments and save the returned value in variable
resSub. Print the value of resSub.
CMPSC 101 Instructor: Dr. Mahfuza Farooque
Introduction to Programming in Python
(v) Call multiply() with x and y as arguments and save the returned value in variable
resMul. Print the value of resMul.
(vi) Call divide() with x and y as arguments and save the returned value in variable
resDiv. Print the value of resDiv.
(vii) Call isPrime() with x as argument and save the returned value in variable resPri.
Print the value of resPri.
(viii) Call factorial() with y as argument and save the returned value in variable
resFac. Print the value of resFac.
Note that you need to use module_name.function_name format to call your functions. You
should run the test script multiple times with different values to ensure that the functions are
working properly.
Sample output of testtmymath.py:
Enter 1st number: 11
Enter 2nd number: 6
Sum = 17
Difference = 5
Product = 66
Division = 1.8333
11 is Prime
6 Factorial = 720
Files to be submitted:
1. Module: mymath.py
2. Test script: testmymath.py
3. Output screenshots
CMPSC 101 Instructor: Dr. Mahfuza Farooque
Introduction to Programming in Python
Problem 2. Write a python script fibonacci.py to compute the nth number in the Fibonacci
sequence (1, 1, 2, 3, 5, 8, 13, 21, …), where n is any positive integer. You have to do the following
in your script: [40 points]
(i) Define a function called fibonacci() that has one formal parameter n, and returns
the nth number in the Fibonacci sequence.
(ii) Write code that ask the user to enter a number and save it in variable num.
(iii) Call fibonacci() with num as argument and save the result in variable f. Print the
value of f.
Sample output I of fibonacci.py:
Enter a number: 5
Fibonacci = 5
Sample output II of fibonacci.py:
Enter a number: 2
Fibonacci = 1
Files to be submitted:
1. Script: fibonacci.py
2. Output screenshots
