**Math 206-Spring 2003
Complex Calculus and Transformation Techniques **

Lecture Notes on Laplace and
z-Transforms

Version: 11 April, 2003

corrections

Last entry on 29 April 2003

**Instructor:** Ali Sinan Sertöz

Department of Mathematics

Faculty of Science

**Room:** SA-121, **Phone:** 1490

**Office Hours: **Tuesday 13:40-15:30

**Assistant: **Duru Türkoğlu

Department of Mathematics

Faculty of Science

**Room:** SA-144, **Phone:** 2131, **email:** turkoglu@fen.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: **

TUESDAY | 10:40-12:30 | EB-201 | Section-01 |

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

TUESDAY | 15:40-17:30 | B-206 | Section-02 |

THURSDAY | 10:40-11:30 | EB-201 | Section-01 |

THURSDAY | 16:40-17:30 | B-206 | Section-02 |

**Grading:**

Quizzes: 20% (there will be 5 quizzes, best 4 will be counted)

Midterm1: 25% March 22, 2003, Saturday, Time: 10:00, Duration: 2 hours

Midterm2: 25% May 3, 2003, Saturday, Time: 10:00, Duration: 2 hours

Final: 30%
May 30, 2003, Friday, Time: 9:00, Duration: 2 hours**
**Makeup Exam: 2 June 2003, Monday, Time: 15:00, Duration: 2 hours. Medical
report holders only.

Solutions of last year's quizzes and exams (as PDF files)

Quiz-1 , Quiz-2
, Quiz-3 , Quiz-4 , Quiz-5

Midterm-1, Midterm-2,
Final

**Solutions of this year as PDF files:**

Quiz-1 Quiz-2 Quiz-3 Quiz-4 Quiz-5 Midterm-1 Midterm-2 Final