SMA209-Mathematics 2 MATLAB assignment
Total marks: 30
Submission deadline: 30/05/2021, 23.59 pm
Question 1 (Fourier series)
Calculate a0, an, bn and the sum of first six partial sums, and show their co
esponding plots
using MATLAB.
[Marks 10]
Question 2 (Ordinary Differential equation)
Solve the following initial value problem using MATLAB
xxyy 2sintan =+ï‚¢ , 1)0( =y
[Marks 5]
Question 3 (Laplace transformation)
Find a general solution using MATLAB and Laplace Transform for the following differential
equation:
XXXXXXXXXXtyy sin2'5 =+
[Marks 15]
Note: You must attach the file for the MATLAB script (.m file) and a word document
which provides an organised compilation of the MATLAB results and screen shots.
Helpful link for Fourier series and Laplace Transform using MATLAB:
https:
au.mathworks.com/help/curvefit/fourier.html
https:
au.mathworks.com/help/symbolic/sym.laplace.html?searchHighlight=laplace%20trans
form&s_tid=srchtitle
https:
au.mathworks.com/help/symbolic
eferencelist.html?type=function&s_tid=CRUX_top
nav
https:
au.mathworks.com/help/curvefit/fourier.html
https:
au.mathworks.com/help/symbolic/sym.laplace.html?searchHighlight=laplace%20transform&s_tid=srchtitle
https:
au.mathworks.com/help/symbolic/sym.laplace.html?searchHighlight=laplace%20transform&s_tid=srchtitle
https:
au.mathworks.com/help/symbolic
eferencelist.html?type=function&s_tid=CRUX_topnav
https:
au.mathworks.com/help/symbolic
eferencelist.html?type=function&s_tid=CRUX_topnav