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Design an engineering problem ( or series of problems related to a similar concept ) to be solved by using MATLAB. The following should be

Design an engineering problem (or series of problems related to a
similar concept) to be solved by using MATLAB.
The following should be existing in the submitted files:
A title for your project
The problem definition and formulation
Explanation of the problem
Definitions of the variables used in the problem
Descriptions of the tasks that need to be performed to solve the problem
The solution method
The calculations required to solve each task of the problem
The equations used to solve the problem
The definitions of the symbols used in that equations
Written MATLAB codes/program should include the functions/concepts listed below. If
you need to use more functions for their implementation, you can also use some
other functions/concepts that are not listed below. However, the ones listed below
should be used for sure. The other ones picked by groups should be extra. In the
functions/concepts listed below: "/" refers to "or", which means you can use either
of them, or if you need more than one, some of them.
For example,
"vectors/matrices" means "use either vectors or matrices or both, but at least one of
them".
Vectors / Matrices
max ?min? sum/length/size/find
poly/roots/conv/deconv/polyval/Cell arrays/Structure arrays
xlsread/xlswrite
If-elseif structure/Switch structure
For loop / While loop
disp/fprintf
input/menu
plot/fplot/loglog/semilogy/subplot
publish
plot3/mesh/meshc/meshz/contour/surf/surfc/waterfall
strcat/strvcat/strcmp/strcmpi/strncmp
solve/simplify/factor/expand/limit/int/diff/quad/quad1/trapz/dblquad/triplequad
GUI (Graphical user interface)
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