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ME/MSE241 Engineering Computations

Homework Assignment – 1

Instructions:

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1) Include comments for every few lines (or even each line) of code as relevant.

2) Use a consistent naming convention.

3) If using Python scripts (.py), create one file for each problem solution. Name the files _

name>_.py.

4) If using the notebook format (.ipynb), use a single cell for each problem solution. Name the file

name>_.ipynb.

5) Do not hesitate to ask for help, there are no trivial questions!

Note: 1. All the problems can be solved using the concepts we covered in the lectures.

2. Do not use modules or create functions. Just write plain scripts for this assignment.

Problem 1 (12 pts)

Write a simple program using string indexing and slicing to modify a given string (use the input

function). The modified string should be reversed except the first and last characters. For example, if the

input is “Pullman” the output should be “Pamllun”.

Problem 2 (12 + 12 + 12 pts)

Write a program using a for loop to:

(a) Compute the reverse of a given string by accumulating it in a new string object (do not use slicing

to reverse the string).

(b) Print the movie quote below with each word reversed and uppercase characters replaced by

lowercase characters (assume the punctuation characters are part of the word):

“You see, in this world there’s two kinds of people, my friend: Those with loaded guns and those

who dig. You dig.”

This is the expected output: “uoy ,ees ni siht dlrow s’ereht owt sdnik fo ,elpoep ym :dneirf esoht

htiw dedaol snug dna esoht ohw .gid uoy .gid”

(c) Print the following pattern consisting of asterisks separated by spaces (you may have additional

spaces before and after the pattern).

Note: Write a generic program that can be easily extended to similar looking patterns, do not

specialize for this specific pattern. For example, I should be able to generate a wider pattern by

just changing a single value in the program. The goal of a program should always be automation.

Hint: Variables can be used in format specification. Example:

w = 6

f”{1.1545: >{w}.2}”

Problem 3 (12 + 20 + 20 pts)

Again, use a for loop to do the following (do not use the built-in function sum):

(a) Write a short program to determine the sum of the squares of first 𝑛 natural numbers where 𝑛 is a
user input obtained through the input function.

(b) Given a set of temperatures in Fahrenheit as a tuple,

tempDataF = (36, 40, 28, 32, 22, 52, 44, 35, 40, 37)

write a program to convert the units to Celsius and compute the mean value in Celsius and

Fahrenheit. Present the results in a tabulated form as shown below.

(c) Construct a list consisting of the first 50 Fibonacci numbers through an accumulator. The

Fibonacci numbers satisfy these conditions:

𝐹1 = 1,𝐹2 = 1

𝐹𝑖+2 = 𝐹𝑖+1 + 𝐹𝑖

Here, 𝐹𝑖 is the 𝑖
th number in the sequence.

The ratio of the adjacent Fibonacci numbers converges to the golden ratio, i.e.,

lim
𝑖→∞

𝐹𝑖+1
𝐹𝑖

= 𝜙 =
1 + √5

2
≈ 1.618

Show this by accumulating the ratios into a list and verifying that the last element is

approximately equal to 𝜙.

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