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ELEC3002/ELEC7005 Computational Mathematics for Engineers
Tutorial Complex #1
Q1
Show that
(
)
1
cos
2
j
j
e
e
θ
θ
θ
−
=
+
;
(
)
1
sin
2
j
j
e
e
j
θ
θ
θ
−
=
−
.
Q2
Evaluate all the roots of
15
8
j
−
−
Q3
If
evaluate
1
2
3
4 ;
4
3
z
j z
=
−
= −
+
j
1
2
z
z
⋅
and
1
2
z
z
×
Q4
let
Find the values of
w
which correspond to the points
and
(trivial). Now join the two points and find the curve
in the
w
-plane that the line is mapped to.
( )
2
w
f
z
z
=
=
1
3
z
j
=
−
2
z
= −
+
j
z
Q5
(Multiple valued functions). If
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- University of Queensland School of Information Technology, Electrical Engineering ELEC3002/ELEC7005, Engineers Tutorial Complex
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