Difference between revisions of "Rechnen mit komplexen Zahlen (Lernvideo)"
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=== Contents === | === Contents === | ||
* Real number sets and number line: Integers, natural ... , real ... , rational ... , irrational ... (Duration 3:14) | * Real number sets and number line: Integers, natural ... , real ... , rational ... , irrational ... (Duration 3:14) | ||
| − | *Representation of complex numbers and complex plane: Real part, imaginary part, magnitude, phase, theorem of Euler ( | + | *Representation of complex numbers and complex plane: Real part, imaginary part, magnitude, phase, theorem of Euler (Duration 2:00) |
*Rules of calculation for complex numbers: Sum, difference, product, quotient, conjugate-complex, square, square root (Duration 6:36) | *Rules of calculation for complex numbers: Sum, difference, product, quotient, conjugate-complex, square, square root (Duration 6:36) | ||
*Total duration 11:50 | *Total duration 11:50 | ||
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| − | This educational video was conceived and realized in | + | This educational video was conceived and realized in 2006 at the [http://www.lnt.ei.tum.de/startseite "Chair of Communications Engineering"] of the [https://www.tum.de/ "Technical University of Munich"]. |
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Latest revision as of 19:00, 18 March 2023
!!! The learning video is in German language (images and sound). There is an English summary at the end of this file !!!
Inhalt
- Reelle Zahlenmengen und Zahlenstrahl: Ganze Zahlen, natürliche ... , reelle ... , rationale ... , irrationale ... (Dauer 3:14)
- Darstellung komplexer Zahlen und Komplexe Ebene: Realteil, Imaginärteil, Betrag, Phase, Satz von Euler (Dauer 2:00)
- Rechenregeln für komplexe Zahlen: Summe, Differenz, Produkt, Quotient, Konjugiert-komplexe, Quadrat, Quadratwurzel (Dauer 6:36)
- Gesamtdauer 11:50
Erkannte Fehler
- Bei (10:30) muss es heißen: $d = z - z^\star = 2 {\rm j} \cdot y$ , wenn $z = x + {\rm j} \cdot y$ ist. Im Video wurde die imaginäre Einheit ${\rm j}$ vergessen.
Dieses Lernvideo wurde 2006 am "Lehrstuhl für Nachrichtentechnik" der "Technischen Universität München" konzipiert und realisiert.
Buch und Regie: »Norbert Hanik« und »Günter Söder«, Sprecher: »Norbert Hanik«, Realisierung: »Franz Kohl« und »Manfred Jürgens«.
Im Zuge der LNTwww-Neugestaltung (Version 3) wurden diese Lernvideos 2016/2017 von »Tasnád Kernetzky« und einigen Studenten in moderne Formate konvertiert, um von möglichst vielen Browsern (wie Firefox, Chrome, Safari) als auch von Smartphones wiedergegeben werden zu können.
English summary:
Arithmetic operations involving complex numbers
Contents
- Real number sets and number line: Integers, natural ... , real ... , rational ... , irrational ... (Duration 3:14)
- Representation of complex numbers and complex plane: Real part, imaginary part, magnitude, phase, theorem of Euler (Duration 2:00)
- Rules of calculation for complex numbers: Sum, difference, product, quotient, conjugate-complex, square, square root (Duration 6:36)
- Total duration 11:50
Detected errors
- At (10:30) it should read: $d = z - z^\star = 2 {\rm j} \cdot y$ , if $z = x + {\rm j} \cdot y$. In the video the imaginary unit ${\rm j}$ was forgotten.
This educational video was conceived and realized in 2006 at the "Chair of Communications Engineering" of the "Technical University of Munich".
