**Math 206-Spring 2004
Complex Calculus and Transformation Techniques
**

**Announcements
Homework
Page**

Solutions

**Lecture
Notes on Laplace and Z-Transforms**

**Instructors:**

Bülent
Özgüler(section 01)
Electrical and Electronics Engineering, |
Ali Sinan Sertöz (section 02)
Department of Mathematics |

**Assistants: ** **
**Mustafa Durukal
Phone 1462
email durukal@ee.bilkent.edu.tr

Ö. Gökalp Memiş Phone 1610 email gokalp@ee.bilkent.edu.tr

Onur Bakır Phone 1525 email onurb@ee.bilkent.edu.tr

Sevim Çiğdem Phone 2103 email: cigdem@fen.bilkent.edu.tr

Fatih Hakan Koklu email: hakanu@ug.bilkent.edu.tr

Lutfi Murat Gevrekci email:muratg@ug.bilkent.edu.tr

** Text: **Complex Variables and Applications,

J. W. Brown & R. V. Churchill

McGraw-Hill

Sixth Edition, 1996 (older editions will also do but check for any change in section and problem numberings.)

**Topics: **

- Complex numbers and roots
- Functions of a complex variable, limits, continuity, derivative
- Complex analytic functions, Cauchy-Riemann conditions
- Elementary functions
- Complex integration and Cauchy integral formula
- Power series of analytic functions
- Residues and poles and applications to real improper integrals
- Laplace transform techniques in solving LDE with constant coefficients
- z-transform techniques
- Mappings by elemantary functions
- Conformal mappings and some applications

A detailed syllabus is available in Acrobat format.

**Schedule: (for section 02)**

TUESDAY | 13:40-14:30 | EB-102 | Section-02 |

WEDNESDAY | 13:40-15:30 | SA-121 | Office Hour |

FRIDAY | 10:40-12:30 | EB-102 | Section-02 |

**Grading:**

Homework: 20%

Midterm1: 25% March 20, 2004, Saturday, Time: 10:30, Duration: 2 hours

Places for the exam: EB-101, 102, 103, 104, 204.

Midterm2:** ** 25% May 1, 2004, Saturday, Time: 10:00, Duration: 2 hours

Places for the exam: EB-101, 102, 103, 104, 203.

Final: 30% 24 May 2004
Monday, Time 12:15, Duration: 2 hours, BZ-01-02-03-04**
**Makeup Exam: Medical
report holders only.

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

Tutorials will be held on

Tutorials will be held every week starting from 20 February 2004 Friday.

**MIDTERM-1
PAPERS
**You can see your midterm papers on 26 March 2004 Friday between 15:30 and
17:00.

Section-1 at EA225 Gökalp Memiş's office,

Section-2 at EA228 Onur Bakır's office.

Please write your objections, if any, on a piece of paper and attach it to your exam paper. You will be notified of the result soon after.

**MIDTERM-2 PAPERS
**
You can see your midterm papers on 12 May 2004 Wednesday between 10:30 and
12:30.

Visit your assistants' offices listed above.

**FINAL PAPERS**

You can see your final exam papers on 28 May 2004 Friday between 10:00 and 12:00
at EA-228.

Last updated: 19 Şubat 2005