Processing Math: Done

To print higher-resolution math symbols, click the
Hi-Res Fonts for Printing button on the jsMath control panel.

No jsMath TeX fonts found -- using image fonts instead.
These may be slow and might not print well.
Use the jsMath control panel to get additional information.

jsMath Control PanelHide this Message

jsMath

Warning: jsMath requires JavaScript to process the mathematics on this page.
If your browser supports JavaScript, be sure it is enabled.

3.1 Übungen

Aus Online Mathematik Brückenkurs 2

(Unterschied zwischen Versionen)

Wechseln zu: Navigation, Suche

Version vom 12:41, 10. Mär. 2009

Theory

Exercises

Exercise 3.1:1

Write in the form a+bi, where a and b are real numbers

a)	(5−2i)+(3+5i)	b)	3i−(2−i)
c)	i(2+3i)	d)	(3−2i)(7+5i)
e)	(1+i)(2−i)2	f)	i20+i11

Exercise 3.1:2

Write in the form a+bi, where a and b are real numbers,

a)	1+i3−2i	b)	3i4−6i−1+i3+2i
c)	1+i3(2−i3)2	d)	5−11+i3i+i2−3i

Answer | Solution a | Solution b | Solution c | Solution d

Exercise 3.1:3

Determine the real number a such that the expression 3+i2+ai becomes purely imaginary (i.e. the real part equals zero).

Answer | Solution

Exercise 3.1:4

Solve the equations

a)	z+3i=2z−2	b)	(2−i)z=3+2i
c)	iz+2=2z−3	d)	(2+i)z=1+i
e)	z+iiz+1=3+i	f)	(1+i)z+iz=3+5i

Von „http://wiki.math.se/wikis/2009/bridgecourse2-TU-Berlin/index.php/3.1_%C3%9Cbungen“

1. Differentialrechnung

2. Integralrechnung

3. Komplexe Zahlen