ECMM171P Programming for Engineers 
MATLAB assignment 2 / Programming Challenge 
This assignment should be completed by 16.00 on Thursday 3rd November. Please read 
the instructions carefully. The assignment consists of four tasks in total, but task 2 has two 
sub-tasks. Marking scheme is provided below each task. Please ensure that your programs run 
without any error in MATLAB versions R2019 and later and make sure you submit MATLAB 
(.m) files, screenshots or simple text files will not be marked. This is not a group assignment, 
so ensure that you submit your own work. 
When you finish with everything, add all your programs, in a zip file (compress them) and 
submit through BART. 
1. Write a program (script) that asks the user to enter the score of a coursework (between 0 
and 100). The program should then display this score and the corresponding grade found 
according to, 
Percentage Grade 
score ≥ 70 A 
score ≥ 60 AND ≤ 69 B 
score ≥ 50 AND ≤ 59 C 
score ≥ 40 AND ≤ 49 D 
score < 40 F 
[10%] 
2. The number π can be approximated by the following series, 
π = 4(1− 1 
3 
+ 
1 
5 
− 1 
7 
+ ...) (1) 
ˆ Write a program (script) that uses a while loop to evaluate the above series and 
calculates the value of π. To terminate the loop, use the condition that the next 
term to be evaluated in the series is less than or equal to 1× 10−6. [20%] 
ˆ Your program should save all the estimates of π in a variable called ‘ pie ’ and then 
plot the first 100. [5%] 
3. Write a Matlab function which takes as an input two numbers a and b, and checks whether 
the digits of b can be rearranged to give a (or vice versa). For example, the digits of 
numbers 123 and 321 can be rearranged to give the same number. The function should 
produce as an output a single variable with a value of 1 when the the rearrangement is 
possible and 0 when it is not. HINT: consider converting your number to a string to 
identify each digit of the number. [30%] 
1 TURN THE PAGE 
4. Write a function which takes as an input an array of numbers, and then produces another 
array which has the numbers mixed according to the following: 
ˆ If the size of the array is even, then the function separates the array into two equal 
parts, and then interleaves the two parts. 
ˆ If the size of the array is odd, then it separates the array into two parts of size 
(n+1)/2 and (n-1)/2, where n is the size of the array, and then interleaves the two 
parts. 
As an example, consider you are given the array containing 5 numbers: 1 2 3 4 5, then 
the result of the mixing will be: 1 4 2 5 3 Please consider that the input will be a row or 
column array (and not a matrix). [25%] 
5. Your code will receive an additional [10%] of discretionary marks relating to coding style, 
comments, structure of code and efficiency. Programs with no comments will receive 20% 
less than what would normally be awarded.