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日期:2024-12-07 10:33

INTRODUCTION TO COMPUTER SCIENCE 2024/2025 Masters Programmes

Coursework Administrative Details

Module/Lecture Course: COMP42215 Introduction to Computer Science

Deadline for submission: 14:00 Friday 13

th

December 2024

Work returned: Week Beginning 13

th

January 2025

Submission

instructions:

Submit via Jupyterhub on NCC. Video guidance will be

provided separately.

Format: You should submit a single Jupyter notebook file that

contains your code and written answers. Do not put

your name on your work, just your username.

Contribution: This coursework contributes 100% to the final mark for

the module.

In accordance with University procedures, submissions that are up to 5 working

days late will be subject to a cap of the module pass mark, and later submissions

will receive a mark of zero.

Content and skills covered by the assignment:

• Be able to write computer programs in Python

• Be able to select appropriate data structures

• Be able to evaluate the complexity of an algorithm

• Effective written communication

• Planning, organising and time-management

• Problem solving and analysis

 

INTRODUCTION TO COMPUTER SCIENCE 2024/2025 Masters Programmes

General Requirements

You should develop an iPython (Jupyter) notebook to assess the performance and

algorithmic complexity of various algorithms using a range of data structures. Your

written answers should be meet the word limits described in each question.

In each question that requires you to write code you should consider issues such as

error checking, the use of appropriate data structures, the efficiency of your code and

comments to aid understanding.

Please answer each question in a separate code block in your Jupyter notebook, and

clearly label each with a comment containing the question number.

Section 1 (10%)

1) Write a function to generate a Python list that contains random unique integers,

i.e. no value should appear more than once in the list. The function should take

as an argument the desired size of the list and set a seed of your choice. [4%]

2) Write a function to convert a Python list of integers into a NumPy array of

integers. The function should take as an argument a Python list. [2%]

3) Write a function to convert a Python list into a dictionary. The keys of the

dictionary should be the values stored in the list, and the values should be

randomly generated floating points values. The function should take as an

argument a Python list. [4%]

Section 2 (25%)

4) Write a function that takes a Python list and an integer value as arguments, and

returns True if the integer value exists in the list. The function should return False

otherwise. [3%]

5) Write a function that takes a NumPy array and an integer value as arguments,

and returns True if the integer value exists in the array. The function should

return False otherwise. [3%]

6) Write a function that takes a Python dictionary and an integer value as

arguments, and returns True if the integer value exists as a key in the dictionary.

The function should return False otherwise. [3%]

7) Time your functions from Q4, Q5 and Q6 on an appropriate range of input sizes

(using your solutions to Q1, Q2 and Q3 to generate the inputs). Use the data you

collect to draw graphs (using matplotlib) that compare the performance of your

functions. [8%]

Questions continue onto next page  

INTRODUCTION TO COMPUTER SCIENCE 2024/2025 Masters Programmes

8) Discuss in 200 words or less what your results show. You should consider the

computational complexity of your functions. If you don’t manage to collect any

data to discuss you should research and discuss what you would expect the

results to show. [8%]

Section 3 (15%)

9) Write a function to sort a Python list of integers. You may implement any

algorithm of your choosing, or use one of the built-in sorting methods. [2%]

10) Write a function that takes a sorted Python list and an integer value as

arguments. You should use functions available to you in the ‘bisect’ module to

determine if the integer value exists in the sorted list, and return True if it does.

The function should otherwise return False. [4%]

11) Time your functions from Q4 and Q9 on an appropriate range of input sizes

(using your solutions to Q1 and Q9 to generate the inputs). Use the data you

collect to draw graphs (using matplotlib) that compare the performance of your

functions. [5%]

12) Discuss in 100 words or less what your results show. You should consider the

computational complexity of your functions. If you don’t manage to collect any

data to discuss you should research and discuss what you would expect the

results to show. [4%]

Section 4 (40%)

13) Write a function that takes a single integer, x, as an argument and outputs a

Python set containing the divisors of x. E.g. If the input x were 20, then the output

would be {1,2,4,5,10,20}. You should consider the efficiency of your solution.

[10%]

14) Write a function that takes a Python list of integers as an argument, and outputs

the greatest common divisor (GCD) of all of the values in the list. You should use

your function from Q13 to find the divisors of each value in the list and use

appropriate set operations to find the GCD. E.g. If the input array were [20,15,45]

the GCD would be 5 as it is the largest divisor the three values have in common.

[8%]

Questions continue onto next page  

INTRODUCTION TO COMPUTER SCIENCE 2024/2025 Masters Programmes

15) Write a function that takes a Python list of integers and uses the built-in

math.gcd() function to calculate the GCD of all of the values in the list. You

should assume that the math.gcd() function will only take two arguments, e.g.

math.gcd(12,4). You will likely need to loop through the input list using the gcd

function multiple times. [8%]

16) Time your functions from Q13, Q14 and Q15 on an appropriate range of input

sizes (using your solution to Q1 to generate the inputs). Use the data you collect

to draw graphs (using matplotlib) that compare the performance of your functions.

[6%]

17) Discuss in 200 words or less what your results show. You should consider the

computational complexity of your functions. If you don’t manage to collect any

data to discuss you should research and discuss what you would expect the

results to show. [8%]

Section 5 (10%)

18) In 250 words or less, reflect on the taught content and the learning outcomes of

this module and identify the three most important points that you will take into

future modules. [10%]

 

INTRODUCTION TO COMPUTER SCIENCE 2024/2025 Masters Programmes

Examiners will stop reading once the word limit has been reached, and work beyond

this point will not be assessed. Checks of word counts will be carried out on submitted

work. Checks may take place manually and/or with the aid of the word count provided

via an electronic submission.

You should include any relevant references that you have used in writing your written

answers, and these will not be included in the word count for the question.

PLAGIARISM and COLLUSION

Your assignment will be put through plagiarism detection services.

Students suspected of plagiarism, either of published work or work from unpublished

sources, including the work of other students, or of collusion, will be dealt with

according to Computer Science and University guidelines.


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