HP 15c User Manual
Page 136
136 Section 11: Calculating With Complex Numbers
Keystrokes
Display
2
´ }
0.0000
2i. Display shows real part.
8
“ v
-8.0000
6
´ V
-8.0000
-8 + 6i.
3
Y
352.0000
(-8 + 6i)
3
.
*
-1.872.0000
2 i (-8 + 6i)
3
.
4
v
4.0000
5
¤
2.2361
2
“ *
-4.4721
5
2
.
´ V
4.0000
i
5
2
4
.
÷
-295.4551
i
i
i
5
2
-
4
3
)
6
(-8
2
.
2
v 5 ¤
2.2361
4
“ *
-8.9443
´ V
2.0000
i
5
4
2
.
÷
9.3982
Real part of result.
´ %
-35.1344
Answer: 9.3982 -35.1344i.
9.3982
2. Write a program to evaluate the function
3
5
1
2
z
z
ω
for different
values of z. (
ω
represents a linear fractional transformation, a class of
conformal mappings.) Evaluate
ω
for z = l+2i.
(Answer: 0.3902 + 0.0122i. One possible keystroke sequence is:
´
b
A
v v
2
*
1
+
®
5
*
3
+
÷
¦
´
}
|
n
.)
3. Try your hand at a complex polynomial and rework the example on
page 80. You can use the same program to evaluate P(z) = 5z
4
+ 2z
3
,
where z is some complex number.
Load the stack with z = 7 + 0i and see if you get the same answer as
before. (Answer: 12,691.0000 + 0.0000i.)
Now run the program for z = 1 + i. (Answer -24.0000 + 4.0000i.)