Bielefeld University

Teaching And Exercises
CRC 701 (Logo)
CRC 701
Faculty of Mathematics
Deutsche Version

Conferences

Tutorial Complex Analysis I

date of tutorial Thu., 12.15-13.45, in room V4-112
submission deadline Fri., 12.00, in room V3-128 (Copyroom) post office box 39
office hour Thu., 14.00-15.00, in room V5-134
eKVV http://ekvv.uni-bielefeld.de/kvv_publ/publ/vd?id=10532301 (lecture)
http://ekvv.uni-bielefeld.de/kvv_publ/publ/vd?id=10532328 (tutorials)
  
last worksheet Fri., on the 03.07.2009
last lection Fri., on the 10.07.2009
last tutorial Mon., on the 13.07.2009, around 14.30-16.00, in room V5-148
mock examination Wed., on the 15.07.2009, around 10.00-12.00, in room H2
final examination Fri., on the 17.07.2009, around 12.00-14.00, in room H4
final examination view Wed., on the 22.07.2009, around 10.00-12.00, in room H2

Exercises and Solutions

Exercises Solutions
Exercises 01
Exercises 02
Exercises 03
Exercises 04
Exercises 05
Exercises 06
Exercises 07
Exercises 08
Exercises 09
Exercises 10
Exercises 11
Exercises 12 		Solution 01
Solution 02
Solution 03
Solution 04
Solution 05
Solution 06
Solution 07
Solution 08
Solution 09
Solution 10
Solution 11
Solution 12

Literature

  • [1]: Eberhard Freitag, Rolf Busam: Funktionentheorie 1 - Mit Lösungshinweisen zu 420 Übungsaufgaben. Springer, Berlin, 4. Auflage, 2008, ISBN-13 978-3540317647
  • [2]: Wolfgang Fischer, Ingo Lieb: Funktionentheorie - Komplexe Analysis in einer Veränderlichen. Vieweg und Teubner, 9. Auglage, 2005, ISBN-13 978-3834800138
  • [3]: Andreas Herz: Repetitorium Funktionentheorie - Mit über 200 ausführlich bearbeiteten Prüfungsaufgaben. Vieweg und Teubner, 2. Auflage, 2003, ISBN-13 978-3528169039
  • [4]: Klaus Jänich: Funktionentheorie - Eine Einführung. Springer, Berlin, 6. Auflage, 2008, ISBN-13 978-3540203926
  • [5]: Reinhold Remmert, Georg Schumacher: Funktionentheorie 1 - Mit Übungsaufgaben. Springer, Berlin, 5. Auflage, 2002, ISBN-13 978-354041855
  • [6]: Klaus Fritzsche: Grundkurs Funktionentheorie - Eine Einführung in die komplexe Analysis und ihre Anwendungen. Spektrum Akademischer Verlag, 9. Auflage, 2008, ISBN-13 978-3827419491
  • [7]: Hermann Weyl: Einführung in die Funktionentheorie. Birkhäuser, 1. Auflage, 2009, ISBN-13 978-3764388454
  • [8]: Wilhelm Forst, Dieter Hoffmann: Funktionentheorie erkunden mit Maple. Springer, Berlin, 1. Auflage, 2002, ISBN-13 978-3540425434
  • [9]: Rami Shakarchi: Problems and Solutions for Complex Analysis. Springer, 1. Auflage, 1999, ISBN-13 978-0387988313
  • [10]: James Ward Brown, Ruel Vance Churchill: Complex Variables and Applications. Mcgraw-Hill College, 6. Auflage, 1995, ISBN-13 978-0070084964
  • [11]: Herb Silverman, S. Ponnusamy: Complex Variables with Applications. Birkhäuser, 1. Auflage, 2006, ISBN-13 978-0817644574

Corrections and annotations of the worksheets

  • 15.04.2009: It is required a group of 2 persons for the filing per week of the solutions.
  • 17.04.2009: On worksheet 01 in exercise 3 d) there should be "less" and not "less or equal". (Worksheet 01 was updated)
  • 24.04.2009: On worksheet 02 the exercise 8 is a voluntary additional exercise (4 extra points).
  • 30.04.2009: The filing date was changed from 10.00 to 12.00.
  • 30.04.2009: On worksheet 02 in exercise 5 b) means z<0, that z is a negative real number.
  • 06.05.2009: The tutorial on the 21.05.2009 was brought forward on 20.05.2009 and takes place around 14.15-15.45 in room V3-204.
  • 06.05.2009: The tutorial on the 11.06.2009 was brought forward on 10.06.2009 and takes place around 14.15-15.45 in room V3-204.
  • 26.05.2009: On worksheet 06 in exercise 22 there should be "z-z0" and not "z-z".
  • 05.06.2009: On worksheet 07 in exercise 25 there should be "n=1" and not "n=0".
  • 12.06.2009: On worksheet 09 in exercise 32(a) there should be "n=0" and not "n=1".
  • 15.06.2009: For the present the final examination takes place by the appointment standing on top.
  • 23.06.2009: On worksheet 10 in exercise 36 there should be "n" and not "N".
  • 23.06.2009: The tutorial on the 16.07.2009 was brought forward on 13.07.2009 and takes place around 14.15-15.45 in room V5-148.
  • 26.06.2009: On worksheet 11 in exercise 42 there should be "R" and not "r" in the limit of integration.
  • 27.06.2009: On worksheet 11 in exercise 41 the assertion should be shown for every complex number z, which doesn't lie in G.
  • 27.06.2009: On worksheet 11 in exercise 43 the assertion should be shown for every complex number z, which lies in S.
  • 01.07.2009: On worksheet 11 in exercise 41 there should be "zeta-z" and not "z-zeta".
  • 01.07.2009: On worksheet 11 in exercise 43 there should be "-a+iy0" and not "a-iy0".
  • 03.07.2009: The tutorial on the 16.07.2009 was brought forward on 13.07.2009 and takes place around 14.30-16.00 in room V5-148.
  • 11.07.2009: The sample solution of worksheet 12 was subsequently corrected (see exercise 44 and 47(2)).

I wish all participants of this lecture a lot of success while solving the worksheets!
 
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