Math 206 Complex Calculus and Transformation Techniques

Math 206-Spring 2005
Complex Calculus and Transformation Techniques
Sections 01 and 02

Homeworks and Solutions Page Announcements

Instructors:

Bülent Özgüler (section 02)

Electrical and Electronics Engineering,
Bilkent University,
Bilkent, Ankara,
06800 Turkey
phone: 0090 312 2664307
0090 312 2901219
fax: 0090 312 2664192

Ali Sinan Sertöz (section 01)

Department of Mathematics
Faculty of Science
Room: SA-121, Phone: 1490
Office Hours: Tuesday 13:40-15:30

Assistants:
Mustafa Durukal          Room EA 227         Phone 1462            email durukal@ee.bilkent.edu.tr
Onur Bakır                  Room EA 228         Phone 1525            email onurb@ee.bilkent.edu.tr

Schedule: (for section 01)

Schedule: (for section 02)

TUESDAY	08:40-10:30	BZ-03
THURSDAY	10:40-12:30	BZ-03

Text: Complex Variables and Applications,
           J. W. Brown & R. V. Churchill
           McGraw-Hill
           Latest Edition, (older editions will also do but check for any change in section and problem numberings.)

Recommended Text: (all on reserve)

QA331.S65, 1964, Spiegel, Murray R., Schaum's outline of theory and problems of complex variables.
QA432.G76, 1991, Grove, A. C., An introduction to the Laplace transform and the Z-transform
QA432.B65, 1994, Bolton, W., Laplace and z-transforms.
QA432.S65, 1992, Spiegel, Murray R., Schaum's outline of theory and problems of laplace transforms.
QA432.L38, 1980, Le Page, Wilbur R., Complex variables and the Laplace transform for engineers

Syllabus (section numbers follow the sixth edition)

Week		Subject	Sections	Exam
#1	Feb 3	Complex numbers	1-8
#2	Feb 7-10	Functions of a complex variable	9-16
#3	Feb 14-17	Analytic functions	17-22
#4	Feb 21-24	Elementary functions	23-29
#5	Feb 28-Mar 3	Complex integration	30-42
#6	Mar 7-10	Power series	43-51
#7	Mar 14-17	Residues and poles	53-57
#8	Mar 21-24	Applications of residues	60-65	#1
#9	Mar 28-3 1	Laplace transform ( Lecture Notes )	66-67
#10	Apr 4-7	LDE with Laplace transform
#11	Apr 11-15	Spring Break
#12	Apr 18-21	z-transform
#13	Apr 25-28	z-transform		#2
#14	May 2-5	Mappings by elementary functions	68-74
#15	May 9-12	Conformal mappings	79-83
#16	May 16	Applications of conformal mappings	84-92

Grading:

Homework:     20%

Midterm1: (25%)   26 March 2005, Saturday, Time: 10:00, Duration: 2 hours
Places for the exam: EB-201, 202, 203 and 204.
Solutions for midterm1

Midterm2: ( 25%) 30 April 2005, Saturday, Time: 10:00, Duration: 2 hours
Places for the exam: ...

Final:   (30%) TBA, Duration: 2 hours,

Makeup Exam: Medical report holders only. Makeup will be given during the final exam week.

Solutions of 2002
Quiz-1 , Quiz-2 , Quiz-3 , Quiz-4 , Quiz-5 Midterm-1, Midterm-2, Final

Solutions of 2003
Quiz-1 Quiz-2 Quiz-3 Quiz-4 Quiz-5 Midterm-1 Midterm-2 Final

Solutions of 2004 (for homework solutions see the Homework Page.)
Midterm-1 Midterm-2 Final

Announcements

Posted on 7 Feb 2005:

TUTORIALS will be held on Wednesdays between 17:40-19:30.
First tutorial will be on 16 February 2005.
You will go to the following classes according to your last name:

ACAR-BAYRAM	GZ-06
CANDOĞAN-ERBÜK	GZ-09
ERDEN-KAMANLI	G-106
KAMBERLİ-ÖNEN	G-109
ÖZ-TUNAOĞLU	G-131
TÜRKEL-YURTTADUR	G-134

Last updated: 29 Mart 2005

MONDAY	10:40-12:30	BZ-05
THURSDAY	08:40-10:30	BZ-05