**Math 206
Complex Calculus and Transformation Techniques
**solutions

NEW Grades NEW

Lecture Notes on Laplace and
z-Transforms

Version: 25 April, 2002

Final Form!

**Instructor:** Ali Sinan Sertöz

Department of Mathematics

Faculty of Science

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

**New Office Hours for the last week: I will be out of Ankara between 22-26 May.
The office hour of 22 May is cancelled. Instead I will hold office hours between 10:00 and
12:00 on May 27 and 28 before the exam. **

**Asisstant: **Umut Yardımcı

Department of Mathematics

Faculty of Science

**Room:** SA-144, **Phone:** 2131, **email:** yardimci@fen.bilkent.edu.tr

**Text**: Complex Variables and Applications,

J. W. Brown & R. V.
Churchill

McGraw-Hill

**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 | 08:40-10:30 | BZ-08 | Section-01 |

TUESDAY | 10:40-11:30 | EB-167 | Section-02 |

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

THURSDAY | 09:40-10:30 | BZ-08 | Section-01 |

THURSDAY | 10:40-12:30 | EB-167 | Section-02 |

**Grading:**

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

Midterm1: 25% March 16, 2002, Saturday

Midterm2: 25% April 27, 2002, Saturday

Final: 30%
May 29, 2002 Wednesday

Solutions (as PDF files)

Quiz-1

Quiz-2

Quiz-3

Quiz-4

Quiz-5

Midterm-1

Midterm-2

Final